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the-sum-becomes-a-telescoping-series-52124482026-04-20T16:29:55+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-unique-communication-events-in-one-day-is-boxed15-4321132026-04-20T16:37:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-different-committees-that-can-be-formed-is-boxed70-35766032026-04-20T16:37:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-pairs-of-primates-is-boxed45-36710532026-04-20T16:37:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwback-alert-how-80s-clothing-rules-modern-street-style-forever-27462162026-04-20T16:37:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-t--sqrt800089448944-years-84066462026-04-20T16:38:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwback-basics-the-insane-90s-candy-that-sold-like-hot-candy-buttons-56325922026-04-20T16:41:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwback-terror-the-90s-horror-movies-everyone-obsessed-over-and-why-you-need-them-back-20059512026-04-20T16:41:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-combinations-is-boxed93-19849642026-04-20T16:46:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-groupings-is-boxed63-44331462026-04-20T16:46:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-test-result-sequences-is-boxed20-36554422026-04-20T16:46:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-schedules-is-boxed150question-how-many-of-the-100-smallest-positive-integers-leave-a-remainder-of-2-when-divided-by-5-618812026-04-20T16:46:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--k--1-2-dots-20--so-there-are-20-such-numbers-36253112026-04-20T16:46:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-47807322026-04-20T16:46:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-integer-that-must-divide-the-product-is--boxed24--11462222026-04-20T16:46:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-intersection-point-is--left-frac1511--frac3211-right--34211392026-04-20T16:54:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the--z--coordinate-of-the-centroid-is-consistent-with-the-average-elevation-7276432026-04-20T16:55:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-diameter-of-the-circle-is-26-cm-and-the-radius-is-60227492026-04-20T17:15:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-complete-set-of-solutions-is-36249812026-04-20T17:16:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-mathbfv--langle-1-t-1-rangle-for-any-real-t-24478322026-04-20T17:17:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--n-equiv-4--or--6-pmod10--80430702026-04-20T17:18:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--k--5m--2--so--n--105m--2--4--50m--24--the-smallest-positive--n--is--n--24--check--242--576--ends-in-76--valid-29016102026-04-20T17:18:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remainder-is--boxed0--81794052026-04-20T17:18:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remainder-is--boxed9--92260852026-04-20T17:18:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-lattice-points-is--boxed4--89782072026-04-20T17:18:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-such-integers-is--boxed22-question-what-is-the-base-ten-number-represented-by-the-base-eight-number--3218--29270492026-04-20T17:18:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-base-ten-representation-is--boxed209--86017032026-04-20T17:18:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-positive-odd-divisors-of-180-is--boxed78--17632002026-04-20T17:18:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-possible-answers-are--boxed43--and--boxed78--35136252026-04-20T17:18:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-i-loved-cats-until-my-severe-allergy-revealed-the-truth-73096242026-04-20T17:24:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrilling-facts-about-and-ferby-characters-you-cant-ignore-46007462026-04-20T17:35:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--boxedbeginbmatrix-1---1--1--1-endbmatrix--19016132026-02-23T02:33:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-range-of--fx--is--2-2-92356992026-02-23T02:33:51+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--n2--frac25-cdot-9400--frac225400--frac916-implies-n--pm-frac34--82126472026-04-20T17:36:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-mathbfv--leftlangle--frac4514--frac37-frac1914-rightrangle-12303202026-04-20T17:38:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-is-9-but-the-question-asks-for-the-maximum-which-is-unbounded-clarifying-if-the-original-expression-is-correct-the-maximum-is-infty-however-assuming-a-misinterpretation-the-intended-answer-is-likely-85410252026-04-20T17:39:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-solutions-are-30circ-90circ-150circ-51286572026-04-20T17:39:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-two-of-the-four-rolls-result-in-a-number-greater-than-7-is-95001982026-04-20T17:39:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-the-real-parts-is-34451622026-04-20T17:53:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-is--boxed0--19496822026-04-20T17:53:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-lcm-is-12407772026-04-20T18:14:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-odd-divisors-of-the-number-is-boxed192-98427592026-04-20T18:14:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-gcd-is-42630562026-04-20T18:14:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-plot-is-256-square-meters-8120662026-04-20T18:14:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-temperature-is-8-degrees-celsius-at-2-am-78139792026-04-20T18:20:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-infection-rate-peaks-at--t--sqrt10--days-61556212026-04-20T18:20:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-production-level-100-units-minimizes-average-cost-37700482026-04-20T18:20:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-is-89469432026-04-20T18:26:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-fourth-vertex-is-boxed011-82435332026-04-20T18:27:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-solutions-are-27787682026-04-20T18:27:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-far-unknown-the-true-power-of-auron-you-never-knew-existed-69508192026-04-20T18:27:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-possible-value-of--x--is-boxed30-25649542026-04-20T18:40:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-possible-value-of--y--is-boxed20question-a-linguist-studying-phonetic-transformations-models-a-sound-wave-as--fx--a-sinbx--c--d--given-that-the-maximum-amplitude-is-3-the-period-is--pi--and-the-wave-passes-through-the-origin-find-the-values-of--a-b-c--and--d--57525782026-04-20T18:41:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--a--3---b--2---c--0---d--0--19242432026-04-20T18:42:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-real-part-is--cosleftfrac-40307252026-04-20T18:42:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-placing-3-gs-in-5-arbitrary-positions-with-no-two-adjacent-depends-on-the-layout-58693102026-04-20T18:47:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-heartbeats-over-6-hours-is-25241852026-04-22T05:57:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-snr-is-boxed3-6055822026-04-20T18:50:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-maximum-profit-is-at-x--40-y--0--1600-45998812026-04-20T18:56:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-change-in-the-area-of-the-triangle-is-30908832026-04-20T19:06:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-hexagon-increases-by-41625412026-04-20T19:06:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-new-volume-to-the-original-volume-is-50408452026-02-23T04:53:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-angle-is--25circ--less-than-180-97726472026-04-20T19:06:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-are-already-using-batoto--heres-the-huge-secret-no-ones-talking-about-18837382026-04-20T19:06:55+00:00daily0.8https://docs.decisionpoint.org/spotlight/thragg-storm-vs-battle-beast-the-fight-that-shocked-fans-everywhere-33146532026-04-20T19:07:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thragg-vs-battle-beast-clash-of-titans--unleash-the-full-combat-power-76920662026-04-20T19:07:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-square-of-the-number-of-users-after-12-months-is-41624992026-04-20T19:12:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the--y--intercept-of-the-line-is-58070012026-04-20T19:12:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-successful-additional-attempts-is-7801682026-04-20T19:12:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-fifth-term-of-the-sequence-is-54013482026-04-20T19:12:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is--boxeddfrac932--70854082026-04-20T19:39:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is--boxeddfrac29--31457292026-04-20T19:39:13+00:00daily0.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0daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-the-product-is-divisible-by-5-is-4144442026-04-20T21:35:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-the-sum-is-even-is-95396992026-04-20T21:35:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-site-7-is-selected-is-48539132026-04-20T21:35:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-increases-by-50673002026-04-20T21:36:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-heavy-cream-in-your-recipe-try-half-and-half-insteadsave-30-without-losing-creaminess-19486462026-04-20T21:36:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-product-is-always-divisible-by-6-to-check-if-12-must-divide-the-product-consider-n--1-37442452026-04-20T21:39:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-16-valid-pairs-m-n-each-giving-a-unique-x-y-47038722026-04-20T21:39:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-prime-factorization-of-360-is-23-times-32-times-5-86709742026-04-20T21:47:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-inscribed-circle-is-boxed2-meters-39834232026-04-20T21:47:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-4-stations-detect-an-earthquake-is-boxedfrac35128-49733772026-04-20T21:48:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-teams-is-boxed288-15412452026-04-20T21:48:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-pilot-selections-is-boxed56question-a-palynologist-is-analyzing-spherical-pollen-grains-under-a-microscope-if-the-radius-of-a-pollen-grain-is--r--units-what-is-the-ratio-of-the-surface-area-of-the-pollen-grain-to-the-surface-area-of-a-hemispherical-spore-with-radius--3r--82670242026-04-20T21:48:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwback-to-the-ultimate-cartoon-caryou-need-to-see-this-now-23196242026-04-20T21:53:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-expected-overlap-is-4-years-98177402026-04-20T21:54:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-solutions-are--z---i--and--z---1--90156102026-04-20T21:55:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-77-is-divisible-by-7-and-since-7-is-a-prime-number-it-is-the-smallest-prime-factor-of-77-55379062026-04-20T22:27:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-given-conditions-are-inconsistent-unless-we-recheck-the-problem-but-since-the-question-asks-to-find--operatornamerez-overlinew--and-gives--z-overlinew--overlinez-w--10--then-regardless-of-the-other-data-11245572026-04-20T22:30:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-n--7-smallest-integer-23611502026-04-20T22:49:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-square-is-boxed50-84913462026-04-20T22:49:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-cylinder-is-boxed3-91935972026-04-20T22:49:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-lateral-surface-area-of-the-cone-is-boxed60pi-17239572026-04-20T22:49:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-closest-point-is-left-rac75-rac15-57709422026-04-20T22:54:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expression-has-no-maximum--it-approaches-infinity-88182652026-04-20T22:54:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-built-with-finest-craftsmanship-the-grandfather-clock-youve-been-hunting-77866312026-04-20T23:01:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-robot-can-produce-boxed30-valid-sequences-36895322026-04-20T23:07:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is-0-57515112026-04-20T23:07:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is-boxed0-64944652026-04-20T23:07:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expected-output-is-boxeddfrac16332-72219862026-04-20T23:07:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-on-the-cold-culture-hoodienow-everyones-talking-about-its-bold-statement-style-71547402026-04-20T23:13:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remainder-is-6-therefore-the-final-answer-is-27371712026-04-20T23:14:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--d--must-be-a-divisor-of-144-and--m--n--frac144d--since--m--and--n--are-coprime-positive-integers--m--n-geq-2--so--frac144d-geq-2-rightarrow-d-leq-72--6232852026-04-20T23:14:51+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remainder-is-39730432026-04-20T23:14:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--b---1--so-49309302026-04-20T23:15:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-is-boxedfrac5051-13143492026-04-20T23:15:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-times-when-the-rate-of-change-of-efficiency-is-zero-are-boxed2-and-boxed4-hours-after-sunrise-81669292026-04-20T23:15:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-5-parts--5--10--5105050-ml-of-the-third-reagent-75484252026-04-20T23:22:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-they-built-paradise-the-ultimate-condo-world-you-need-to-see-44550092026-04-20T23:24:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-with-power-like-never-before-top-corn-toss-distance-up-all-the-charts-99243852026-04-20T23:34:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-positive-angle-that-returns-the-robot-to-its-starting-orientation-is--boxed36circ--12329502026-04-20T23:34:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-number-of-perfect-square-divisors-is-3-cdot-2--6-47504042026-04-20T23:34:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-interior-lattice-points-is--boxed10-question-compute-the-sum-of-the-roots-of-the-equation-56474782026-04-20T23:35:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-the-roots-is-74139472026-04-20T23:35:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-solution-exists-in-two-digits-56363492026-04-20T23:38:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-solution-87681652026-04-20T23:38:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-such-two-digit-integer-exists-8150452026-04-20T23:39:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-logical-conclusion-is-that-no-such-two-digit-number-exists-22177542026-04-20T23:39:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--25--8x--75696092026-04-20T23:42:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--limx-o-2-x--2--4--30139012026-04-20T23:42:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-inscribed-circle-is--oxed2--cm-93203042026-04-20T23:48:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-circumference-of-the-circle-is--oxed8sqrt2pi--cm-94324992026-04-20T23:48:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-increases-by--oxed24sqrt3--cm-78574332026-04-20T23:48:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-longest-altitude-is--oxedrac40sqrt37--cmquestion-a-paleobotanist-studying-fossilized-ferns-models-the-growth-pattern-of-a-prehistoric-plant-using-the-equation--4x2---12xy--9y2--8x---36y--20--0--determine-whether-this-equation-represents-a-degenerate-conic-section-and-if-so-identify-the-type-of-degeneracy-40730112026-04-20T23:49:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-conic-is-not-degenerate-64304992026-04-20T23:49:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-number-of-teeth-rotations-needed-for-alignment-is-72-for-the-first-gear-24-teeth-this-corresponds-to-72-div-24--3-rotations-and-for-the-second-gear-72-div-36--2-rotations-51774772026-04-20T23:55:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-final-answer-is-oxed3-25200722026-04-20T23:55:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-value-of--mathbfv-cdot-mathbfw-times-mathbfu--is--sqrt6--achieved-when--mathbfv--is-in-the-direction-of--mathbfw-times-mathbfu--since-the-dot-product-achieves-its-maximum-absolute-value-when--mathbfv--is-aligned-with--mathbfw-times-mathbfu--and--mathbfv--1--the-maximum-is--sqrt6--23648172026-04-21T00:10:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-after-50-days-cases-exceed-1-million-54170302026-04-21T00:18:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-likely-the-proportionality-is-reversed-in-intuition-but-the-problem-states-directly-apparent-separation--mass--distance-33605322026-04-21T00:18:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-a--12-is-feasible-giving-the-maximum-erosion-rate-for-one-region-as-11015572026-04-21T00:24:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-flow-rates-are-29-30-and-31-cubic-meters-per-hour-the-highest-rate-is-51887602026-04-21T00:24:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-growth-rates-are-10-11-and-12-grams-per-day-the-growth-rate-on-the-third-day-is-42471592026-04-21T00:24:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-one-bead-costs--boxedfrac6919--gold-coins-21477572026-04-21T00:24:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-nutrient-level-at-the-third-sample-is--boxed22--31377692026-04-21T00:24:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--x3--y3--boxed370--34928172026-04-21T00:24:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expression-simplifies-to--boxed4ab-question-a-herpetologist-measured-the-lengths-of-two-crocodile-tails-one-was-3frac14-inches-and-the-other-was-5frac34-inches-what-is-the-average-length-in-inches-of-the-two-tails-96767362026-04-21T00:24:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-average-length-is-boxed45-inches-6544372026-04-21T00:24:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-the-distinct-prime-factors-is-boxed16-43940972026-04-21T00:24:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-is-boxedfrac2pi-aba--b--c2-22432642026-04-21T00:32:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-is-boxedfrac3sqrt3pi-99854792026-04-21T00:32:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-percentage-decrease-in-area-is-boxed75-85640632026-04-21T00:32:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-area-that-can-be-monitored-is-19937502026-04-21T00:36:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-area-is-99912562026-04-21T00:36:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-such-genetic-markers-in-the-first-100-terms-is-50946162026-04-21T00:36:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-a-randomly-chosen-positive-integer--n-leq-60--is-a-divisor-of-120-is-89441652026-04-21T00:36:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-such-functions-is-61064572026-04-21T00:45:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-becomes-94508712026-04-21T00:45:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-potential-number-of-new-unique-genotypes-discovered-is-6-48030252026-04-21T00:52:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrust-to-weight-ratio--18--thrust--18--44100--18441007938079380-newtons-21395142026-04-21T00:57:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderous-storm-condition-did-not-occur-so-no-reset-applied-58919112026-04-21T00:58:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-trust-this-simple-rulebut-does-beer-really-expire-the-hidden-facts-12840252026-04-21T01:07:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-it-takes-about-28-years-52565272026-04-21T01:08:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-arrangements-is-93007112026-04-21T01:09:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-is--boxed5--85976072026-04-21T01:13:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/three-reasons-youll-regret-challenging-the-lady-billionairefind-out-now-33528262026-04-21T01:14:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-desired-probability-is-9332822026-04-21T01:41:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-is-boxed9-57140892026-04-21T01:43:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-distinct-distributions-is-3061242026-04-21T02:00:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-greatest-multiple-of-5-satisfying--u3--1500--is--u--10--41090692026-04-24T12:38:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--n2--121--so--n--11--since--n--is-an-integer-36124722026-04-21T02:08:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--c--sqrt289--17--36457812026-04-21T02:08:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--l--45--41611682026-04-21T02:08:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--2x--27--so--x--7--11985642026-04-21T02:08:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--fx--6x--5--74659592026-04-21T02:08:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--int-2x--3--dx--x2--3x--c--where--c--is-the-constant-of-integration-13551502026-04-21T02:08:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-area-of-the-circle-to-the-area-of-the-triangle-is-14037242026-04-21T02:10:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-is--boxed50--51496892026-04-21T02:10:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-decreases-by--boxed20sqrt3--81031872026-04-21T02:10:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shortest-altitude-is--boxed112-question-find-the-vector-mathbfv-such-that-mathbfv-times-mathbfb--mathbfc---mathbfb-where-mathbfb--langle-1-2-3-rangle-and-mathbfc--langle-4-5-6-rangle-55892772026-04-21T02:10:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-maximum-profit-is-20000-75957092026-04-21T02:14:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--c--sqrt199--31162362026-04-21T02:19:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-inscribed-circle-is-boxed3-text-cm-19337632026-04-21T02:19:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-23x--26-88726862026-04-21T02:23:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-concentration-first-drops-below-25-when--t--oxedrac12-ln6--39268682026-04-21T02:27:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--rx--is-undefined-at--x--1--48612742026-04-21T02:27:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-for--x-72214782026-04-21T02:27:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-arrangements-is-oxed67200-28641692026-04-21T02:27:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is-oxeddfrac1021-27132462026-04-21T02:27:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-combinations-is-oxed140-86043712026-04-21T02:27:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is-oxeddfrac4255question-a-bioinformatician-models-the-expression-level-of-a-gene-as-a-function--et--ract2--4t--3t--1--where--t--represents-time-in-hours-after-treatment-simplify--et--and-determine--limt-o--1-et--if-it-exists-25585112026-02-23T15:13:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-formula-becomes--t--r32--17606762026-04-21T02:27:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-is--boxed0--7378202026-04-22T06:04:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-out-family-photo-outfits-that-add-fun--perfect-for-instagrammable-moments-66835772026-04-21T02:31:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-each-volcano-independently-chooses-one-of-3-levels-so-total-distinct-ordered-assignments-34--81-but-if-profiles-are-considered-unordered-across-volcanoes-eg-just-the-count-distribution-then-we-must-count-the-number-of-integer-solutions-to-xl--xm--xh--4-xi-geq-0-which-is-binom4--3---13---1--binom62--15-43973212026-04-21T02:31:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-rephrased-for-impact-and-seo-the-title-should-use-superlative-language-implied-mystery-and-target-search-intent-enchantress-marvel-as-a-system-generating-combinations-95695312026-04-21T02:31:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-ways-is-boxed301-57392302026-04-21T02:34:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is-boxeddfrac45question-64016842026-04-21T02:34:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-polynomial-is-26307032026-04-21T02:34:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-park-is-36145572026-04-21T02:38:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-distance-traveled-by-the-bird-is-boxed10pi-96320692026-04-21T02:44:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-triangle-is-boxed84-4229212026-04-21T02:44:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-enclosed-by-the-roundabout-is-boxed100pi-16872492026-04-21T02:44:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-hypotenuse-is-boxed10question-3520612026-04-21T02:44:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-is-22127422026-04-21T02:44:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-equation--x3---4x--2--0--has-three-real-solutions-expressible-in-trigonometric-form-or-as-approximations-43410102026-04-21T02:44:51+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-you-knew-basketballuntil-you-saw-finger-roll-basketball-go-viral-33972292026-04-21T02:58:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-is-boxedfrac49-70772572026-04-21T03:09:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-is-boxedfrac1k3-54059962026-04-21T03:09:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-volume-of-the-sphere-to-the-volume-of-the-hemisphere-is-boxedfrac14-65667032026-04-21T03:21:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-area-of-the-pond-to-the-area-of-the-walkway-is-boxedfrac124-36714942026-04-21T03:22:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-circumference-of-the-circle-is-boxed13pi-cm-67190582026-04-21T03:22:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-shortest-altitude-is-boxedfrac565-units-95754442026-04-21T03:22:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-is-reduced-by-boxed20sqrt3-square-centimetersquestion-a-soil-scientist-is-analyzing-a-plot-of-land-shaped-like-a-right-triangle-the-hypotenuse-of-the-triangle-is-10-meters-and-the-radius-of-the-inscribed-circle-is-2-meters-determine-the-ratio-of-the-area-of-the-inscribed-circle-to-the-area-of-the-triangle-41131812026-04-21T03:22:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-triangle-is-25273252026-04-21T03:22:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-like-a-pro--the-fowler-position-you-cant-ignore-79416882026-04-21T03:25:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-all-10-of-the-additional-scenarios-were-successfully-resolved-the-final-answer-is-48571622026-04-21T03:29:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--x---1--is-a-root-75850692026-04-21T03:29:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-polynomial-factors-as-53873902026-04-21T03:29:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-solution-is-13991972026-04-21T03:29:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-plants-will-have-the-same-height-after--boxed2--weeks-73493662026-04-21T03:39:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expression-becomes-90927392026-04-21T03:39:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--mathbfm--beginpmatrix--1--2---2--3-endpmatrix--final-answer--boxedbeginpmatrix--1--2---2--3-endpmatrix--6835922026-02-23T16:33:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-apples-is-3-times-6--18-13837992026-04-21T03:40:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-adjusted-final-list-69081972026-04-21T03:48:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-it-happened-the-experience-edition-of-michael-jackson-log-them-all-80589092026-04-21T03:49:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-is--boxedfrac12--80435112026-04-21T03:53:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-is--boxedfracpi6--2027682026-04-21T03:53:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-average-power-output-is-boxed4x--4-45808732026-04-21T03:53:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-your-wall-into-motion-the-hottest-gif-wallpaper-trends-you-must-try-11657162026-04-21T04:15:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-of-the-entire-expression-is-77679162026-04-21T04:30:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-center-is--3--2--and-the-radius--r--sqrt25--5--70297412026-04-21T04:32:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-leading-coefficient-of--fx--is--boxed3--37121772026-04-21T04:35:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-ways-to-label-the-8-bird-species-is-boxed40320-50870762026-04-21T04:35:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-circular-permutations-is-33239752026-04-21T04:35:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thursday-morning-magic-7-life-changing-blessings-to-boost-your-day-32719732026-04-21T04:39:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-10th-term--a10--350---288--62--29004122026-04-21T04:40:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--fx--3x2---12x--9--so--a--3---b---12---c--9--35180572026-04-21T04:40:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-gcd-of-48-and-256-is-83518182026-04-21T04:42:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-distance-traveled-by-all-participants-is-64555362026-04-21T04:55:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-value-of--fx-y--is-95842172026-04-21T04:55:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--phibt--0--for-all--t--the-time-average-over-one-period--t--frac2piomega--is-70129322026-04-21T04:55:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-integral-becomes-78991182026-04-21T04:55:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-is--3-times-8--24--33538462026-04-21T04:57:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-is--sqrt169--13--meters-68566662026-04-21T04:57:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-robot-can-cut-boxed8-full-pieces-4321742026-04-21T04:58:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-dream-of-grinnellheres-the-shocking-reality-of-their-acceptance-rate-47795912026-04-21T05:00:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-our-count-is-correct-37970932026-04-21T05:09:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is--frac144256--frac916--32542522026-04-21T05:10:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-you-knew-guitar-strings-this-string-order-hack-launched-my-game-77191832026-04-21T05:11:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-distinct-labeling-arrangements-is-boxed243-96998112026-04-21T05:31:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-ways-is-boxed31-47304352026-04-21T05:31:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-assignments-is-boxed14-33123352026-04-21T05:31:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--n--4348---smallest-integer--n--5--35852642026-04-21T05:34:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-product--nn1n2--is-divisible-by-both-2-and-3-therefo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to-the-area-of-the-octagon-is-boxedfracpi21--sqrt2-42928312026-04-21T07:08:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-new-area-to-the-original-area-is-boxed225question-68160062026-04-21T07:08:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-the-roots-is-boxed0-12844822026-04-21T07:11:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--g2--boxed7--30988762026-04-21T07:11:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--h-1--boxed0-question-an-oceanographer-measures-the-angle-of-elevation-to-the-top-of-a-lighthouse-from-a-boat-as--45circ--if-the-boat-is-100-meters-from-the-base-of-the-lighthouse-what-is-the-height-of-the-lighthouse-31401472026-04-21T07:11:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-two-of-the-drawn-marbles-are-red-is-boxedfrac2865-61844102026-04-21T07:11:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-arrangements-is-boxed241920-27233382026-04-21T07:11:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-must-mean-the-speed-increase-is-50-of-the-rate-not-50-words-99806932026-04-21T07:12:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-way-is-to-drop-the-50-more-idea-as-incompatible-23771442026-04-21T07:12:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--n---1--77k--for-some-integer--k--and-64048622026-04-21T07:16:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-you-knew-ice-age-this-movie-adds-frenzy-with-breaking-collision-drama-68217332026-04-21T07:19:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-condition-for--fx--to-have-exactly-one-real-root-is-71898682026-04-21T07:23:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-product-is-divisible-by--8-times-3-times-5--120--9885562026-04-21T07:29:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-product-always-divisible-by--23--8---3---5--so-by--textlcm835--120--26367042026-04-21T07:29:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-is--boxed50--33080632026-04-21T07:29:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-energy-values-are-97755562026-04-21T07:29:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-concentrations-are-58302972026-04-21T07:30:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-costs-per-liter-are-22693462026-04-21T07:30:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-number-of-non-adjacent-triplets-is-16-92251722026-04-21T07:32:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-energy-over-the-first-5-segments-is--boxed202--79537862026-04-21T07:32:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-sequences-is-oxed1680-52607612026-04-21T07:40:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-number-of-favorable-outcomes-28626032026-04-21T07:41:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expanded-form-is--oxed8a3---27b3--59386082026-04-21T07:41:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--fg2--oxed10--67929362026-04-21T07:41:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the--y--intercept-point-is--oxed0-1--3444502026-04-21T07:41:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-ride-alert-i-racing-just-got-much-more-explosiveare-you-ready-90050232026-04-21T07:41:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-square-that-can-tile-the-rectangle-has-a-side-length-of-3-meters-59416442026-04-21T07:45:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-community-size--s--is-boxed5sqrt5-40920342026-04-21T07:45:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/throughout-the-internet-people-say-slenderman-is-realprove-its-not-just-a-scare-93537292026-04-21T07:47:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-distinct-rotational-symmetries-is--boxed1980circ--90876022026-04-21T07:50:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-lcm-of-the-periods-is--frac124--minutes-no--correct-interpretation-the-time-until-alignment-is-the-least--t--such-that--48t--and--72t--are-both-integers-and-the-angular-positions-coincide-actually-the-alignment-occurs-at--t--where--48t-equiv-0-pmod360--and--72t-equiv-0-pmod360--in-degrees-per-rotation-since-each-full-rotation-is-360-we-want-smallest--t--such-that--48t-cdot-frac360360--48t--is-multiple-of-360-and-same-for-72-no--better-the-number-of-rotations-completed-must-be-integer-and-the-alignment-occurs-when-both-complete-a-number-of-rotations-differing-by-full-cycles-the-time-until-both-complete-whole-rotations-and-are-aligned-again-is--frac360mathrmgcd48-72--minutes-no--correct-formula-for-two-periodic-events-with-periods--t1-t2--time-until-alignment-is--mathrmlcmt1-t2--where--t1--148---t2--172--but-in-terms-of-complete-rotations-let--t--be-time-then--48t--rows-per-minute--better-let-angular-speed-be--48-cdot-frac36060--288circtextsec--no---48--rpm-means-48-full-rotations-per-minute--period-per-rotation--frac6048--frac54--125--seconds-similarly-72-rpm--period--frac512--minutes--25-seconds-find-lcm-of-125-and-2512-write-as-fractions--125--frac54---frac2512--lcm-of-fractions--mathrmlcmfracab-fraccd--fracmathrmlcma-cmathrmgcdb-d--no--standard--mathrmlcmfracmn-fracpq--fracmathrmlcmm-pmathrmgcdn-q--only-in-specific-cases-better-time-until-alignment-is--fracmathrmlcm48-7248-cdot-72--mathrmgcd4872--no-58770542026-02-23T21:09:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-after--boxed144--seconds-both-gears-complete-an-integer-number-of-rotations-483--144-722--144-and-align-again-but-the-question-asks-after-how-many-minutes-so--144--60--24--minutes-but-lets-reframe-the-time-until-alignment-is-the-least--t--such-that--48t--and--72t--are-both-multiples-of-1-rotation--but-since-they-rotate-continuously-alignment-occurs-when-the-angular-displacement-is-a-common-multiple-of--360circ--angular-speed-48-rpm---48-times-360circ--17280circtextmin--72-rpm---25920circtextmin--but-better-rotation-rate-is--48--rotations-per-minute-each--360circ--so-relative-motion-repeats-every--frac360mathrmgcd4872--minutes-standard-and-simpler-the-time-between-alignments-is--frac360mathrmgcd4872--seconds-no--the-relative-rotation-repeats-when-the-difference-in-rotations-is-integer-the-time-until-alignment-is--frac360mathrmgcd4872--minutes-no--correct-formula-for-two-polygons-rotating-at--a--and--b--rpm-the-alignment-time-in-minutes-is--frac1mathrmgcdab-times-frac1textsome-factor--actually-the-number-of-rotations-completed-by-both-must-align-modulo-full-cycles-the-time-until-both-return-to-starting-orientation-is--mathrmlcmt1-t2--where--t1--frac1a-t2--frac1b--lcm-of-fractions--mathrmlcmleftfrac1a-frac1bright--frac1mathrmgcdab--no--actually--mathrmlcm1a-1b--frac1mathrmgcdab--only-if--ab--integers-try-gcd487224-the-first-gear-completes-a-rotation-every--148--min-the-second--172--min-the-lcm-of-the-two-periods-is--mathrmlcm148-172--frac1mathrmgcd4872--frac124--min-that-cant-be--too-small-actually-the-time-until-both-complete-an-integer-number-of-rotations-is--mathrmlcm4872--in-terms-of-number-of-rotations-and-since-they-rotate-simultaneously-the-time-is--fracmathrmlcm4872-textlcmtextcyclic-steps---no--correct-the-time--t--satisfies--48t-in-mathbbz--and--72t-in-mathbbz--no--they-complete-full-rotations-so--t--must-be-such-that--48t--and--72t--are-integers-yes-because-each-rotation-takes--148--minutes-so-after--t--minutes-number-of-rotations-is--48t--which-must-be-integer-for-full-rotation-but-alignment-occurs-when-both-are-back-to-start-which-happens-when--48t--and--72t--are-both-integers-and-the-angular-positions-coincide--but-since-both-rotate-continuously-they-realign-whenever-both-have-completed-integer-rotations--but-the-first-time-both-have-completed-integer-rotations-is-at--t--frac1mathrmgcd4872--frac124--min-no--t--must-satisfy--48t--a---72t--b---ab-in-mathbbz--so--t--fraca48--fracb72--so--fraca48--fracb72-rightarrow-72a--48b-rightarrow-3a--2b--smallest-solution--a2-b3--so--t--frac248--frac124--minutes-so-alignment-occurs-every--frac124--minutes-that-is-15-seconds-but--48-times-frac124--2--rotations--72-times-frac124--3--rotations--yes-both-complete-integer-rotations-so-alignment-every--frac124--minutes-but-the-question-asks-after-how-many-minutes--so-the-fundamental-period-is--frac124--minutes-but-that-seems-too-small-however-the-problem-likely-intends-the-time-until-both-return-to-identical-position-modulo-full-rotation-which-is-indeed--frac124--minutes-but-lets-check-after-004166-min-124-gear-1-2-rotations-gear-2-3-rotations--both-complete-full-cycles--so-aligned-but-is-there-a-larger-time-next--t--frac124-times-n--but-the-least-is--frac124--minutes-but-this-contradicts-intuition-alternatively-sometimes-alignment-for-gears-with-different-teeth-but-here-its-same-rotation-rate-translation-is-defined-as-the-time-when-both-have-spun-to-the-same-relative-position--which-for-rotation-alone-since-they-start-aligned-happens-when-number-of-rotations-differ-by-integer--yes-so--t--frack48--fracm72---km-in-mathbbz--so--frack48--fracm72-rightarrow-72k--48m-rightarrow-3k--2m--so-smallest--k2-m3---t--frac248--frac124--minutes-so-the-time-is--frac124--minutes-but-the-question-likely-expects-minutes--and--frac124--is-exact-however-lets-reconsider-the-context-perhaps-align-means-same-angular-position-which-does-happen-every--frac124--min-but-to-match-typical-problem-style-and-given-that-the-lcm-of-48-and-72-is-144-and-1144-is-common--wait-no-lcm-of-the-cycle-lengths-the-time-until-both-return-to-start-is-lcm-of-the-rotation-periods-in-minutes--t1--148---t2--172--the-lcm-of-two-rational-numbers--ab--and--cd--is--mathrmlcmacmathrmgcdbd--standard-formula--mathrmlcm148-172--frac-mathrmlcm11--mathrmgcd4872---frac124--yes-so--t--frac124--minutes-but-the-problem-sa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-77744302026-04-21T14:01:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-diameter-of-the-circle-is-17-cm-so-the-radius-is-85-cm-the-circumference-c-is-33203872026-04-21T14:02:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-time--t--is-approximately-1552152026-04-21T14:02:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-constants-are-91464392026-04-21T14:02:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--phi--kpi--now-use--cos2phi--frac12--but--coskpi--pm-1--so--cos-26161542026-04-21T14:02:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/through-a-blend-of-scientific-rigor-entrepreneurial-vision-and-technological-innovation-gabriel-cianflone-continues-to-advance-the-frontiers-of-chemical-sciences-and-life-sciences-technologies-70352862026-04-21T14:03:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-diameter-of-the-circle-is-sqrt89-cm-and-the-radius-is-fracsqrt892-cm-the-circumference-c-of-the-circle-is-given-by-50726972026-04-21T14:04:51+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--fx2--2--x2--22--which-implies-that--fu--u2--53379522026-04-21T14:08:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--x2--x--13--0--at--x--omega--so--x2--x--1--is-divisible-by--x2---x--1--since-both-are-degree-2-and-the-first-vanishes-where-the-second-does-14343402026-04-21T14:09:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-sequences-is-boxed326592-55795802026-04-21T14:12:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is-boxeddfrac38-96579762026-04-21T14:12:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-s53--25-61723392026-04-21T14:13:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-configurations-is-boxed8-38556632026-04-21T14:13:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-ways-is-boxed90question-14763362026-04-21T14:13:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-polynomial-is--fx--x2--2x--3--98082332026-04-21T14:20:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-u2---5u--4-factors-as-u---4u---1-21119662026-04-21T14:20:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/throws-500-onepiecelegoset-that-combines-jumpscare-and-epic-pirate-action-51946132026-04-21T14:21:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-seekers-will-love-these-sobered-faire-outfits-for-maximum-festival-fashion-vibes-75587682026-04-21T14:35:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-three-digit-number-qualifies-13967222026-04-21T14:43:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-resolution-is-that-the-least-common-multiple-is-1001-and-since-no-three-digit-number-is-divisible-by-all-three-the-problem-may-be-flawed-76302242026-04-21T14:43:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-solutionbut-thats-invalid-13011042026-04-21T14:43:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--px--2x2--x--then--p0--0--53642322026-04-21T14:46:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--p0--0--22838052026-04-21T14:46:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-final-answer-is-boxedfracpi4-72556392026-04-21T14:48:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-final-answer-is-boxedfrac13-86107032026-04-21T14:48:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-final-answer-is-boxedfrac2sqrt39piquestion-59873432026-04-21T14:48:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-cost-of-five-microscopes-is-boxed300-34383332026-04-21T14:48:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-such-integers-is-boxed101-74467832026-04-21T14:48:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-normalized-vector-is-21488112026-04-21T14:53:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-is-12342722026-04-21T14:53:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-required-value-is-46254392026-04-21T14:53:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--sin-3x-sin-x---1--is-achievable-eg--x--rac3pi2--but-we-want-maximum-of--sin-3x-sin-x--not-minimum-55373032026-04-21T14:57:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-revenue-growth-rate-is-maximized-at--t--rac5---sqrt79--79165072026-04-21T14:59:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--x--0--or--x--2--39202242026-04-21T14:59:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-enclosed-by-the-ellipse-is-boxed6pi-42036252026-04-21T15:05:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-exact-value-of-the-sum-is-boxeddfrac38755304-49610422026-04-21T15:05:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-technician-needs-3-liters-of-the-50-saline-solution-35613432026-04-21T15:06:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-the-cubes-of-lesson-plans-and-activities-contributions-is-756-87603002026-04-21T15:06:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-engagement-score-after-6-minutes-is-19-7086462026-04-21T15:06:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-pressure-reaches-a-local-maximum-at--t--1--hour-100-am-and-a-local-minimum-at--t--3--hours-300-am-51282312026-04-21T15:07:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--ft--increases-up-to--t--2--then-decreases--a-maximum-at--t--2--compute-the-maximum-population-growth-rate-39656752026-04-21T15:07:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-the-first-five-terms-is-boxed160-73616712026-04-21T15:22:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-yield-is-0-at-x--frac32-and-the-minimum-value-is-boxed0-93204572026-04-21T15:22:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-m3--n3--boxed133question-71784662026-04-21T15:23:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-volume-of-the-sphere-to-the-volume-of-the-cube-is-boxedfracpi6-33419282026-04-21T15:23:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-area-of-the-circle-to-the-area-of-the-triangle-is-boxedfracpi-sqrt39-9856622026-04-24T12:41:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-is-boxedfracpi-sqrt372-34797492026-04-24T12:41:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-diameter-of-the-circle-is--13--cm-so-the-radius--r--is-76935592026-04-24T12:41:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-increases-by-boxed13sqrt3-square-centimetersquestion-find-the-area-enclosed-by-the-graph-of--x--y--4--35818132026-04-21T15:23:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-seekers-deserve-to-see-these-mind-blowing-phalloplasty-results-46778742026-04-21T15:23:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-pizza-rolls-in-air-fryerheres-how-they-turn-into-restaurant-quality-snacks-19073062026-04-21T15:46:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-surface-is-an-ellipsoid-centered-ellipse-in-axial-cross-section-but-lying-along-the--z--axis-its-an-ellipsoid-specifically-a-prolate-spheroid-no---e--12--so-elliptic-51044412026-04-21T15:47:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-conic-section-in-the-context-of-conic-classification-and-physical-interpretation-is-an-ellipse-and-the-surface-is-a-rotationally-symmetric-ellipsoid-1758822026-04-21T15:47:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shape-is-an-elliptic-paraboloid-no--squaring-led-to-ellipsoid-71781562026-04-21T15:47:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwback-fever-the-playstation-2-games-that-dominated-legions-of-gamers-91508382026-04-21T15:53:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-answer-is--boxed576--88198032026-04-21T15:57:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-answer-is--boxed1062--57236052026-04-24T12:42:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-answer-is--boxed370--34977022026-04-24T12:42:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-answer-is--boxed38--13666822026-04-24T12:42:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-lattice-points-are-pm-12-0-3549042026-04-21T15:58:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-exactly-2-lattice-points-5778192026-04-21T15:58:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-such-grid-size-is-boxed1025640-37890412026-04-21T15:58:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-such-n-is-boxed9-49966362026-04-21T15:58:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-answer-is-boxed72question-a-renewable-energy-startup-is-designing-a-rectangular-solar-panel-array-with-a-fixed-perimeter-of-80-meters-what-is-the-maximum-possible-area-of-the-array-10869392026-04-21T15:58:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-like-wearing-a-sandwich-is-poetic-it-underscores-a-urgent-health-needand-a-shared-human-experience-with-modern-diagnostics-diverse-treatment-pathways-and-growing-awareness-individuals-with-spinal-stenosis-can-retain-function-reduce-suffering-and-sustain-fulfilling-lives-56630842026-04-21T16:04:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sequence-has-first-term--a1--31---1--2--and-common-ratio--r--3--49725522026-04-21T16:16:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-solution-is--x--3--47728012026-04-22T06:23:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--frac25pi144-h2-fracdhdt---02-sqrth----fracdhdt---frac02-cdot-14425pi-cdot-h-32---frac28825pi-h-32--98474492026-04-21T16:29:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-probability-89782182026-04-21T16:31:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-ways-to-select-such-a-sequence-is-boxed710-81791362026-04-21T16:33:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-paths-avoiding-33-is-71579522026-04-21T16:33:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-arrangements-is-13405082026-04-21T16:33:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is-boxedfrac105364-35782026-04-21T16:33:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-with-at-least-one-pair-of-consecutive-3s-is-57862182026-04-21T16:33:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-time-at-which-the-rate-of-change-is-maximized-is-46206652026-04-21T16:33:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrills-and-terrors-in-print-must-have-posters-of-horror-movies-every-fan-deserves-99155552026-04-21T16:39:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-sector-is-approximately-4006702026-04-21T16:44:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-other-leg-is-96492002026-04-21T16:44:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-lattice-points-are-0-2-0--2-3-0--3-0-55082482026-02-24T06:39:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-function-becomes-87534552026-04-21T16:53:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-series-converges-58422532026-04-21T16:53:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-inverse-function-is-97048322026-04-21T16:53:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-36-tags-provide-complete-reliable-migration-data-30583872026-04-21T16:53:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-expected-on-correct-path-1275-97599382026-04-21T16:54:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-does-not-increase-and-the-change-is-34271442026-04-21T17:00:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-hypotenuse-is-c--10-and-cos-theta--08-giving-50242192026-04-21T17:00:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-circumference-of-the-circle-is-36739852026-04-21T17:00:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-out-prom-themes-that-will-turn-heads-and-spark-memorable-nights-29646652026-04-22T06:24:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-is-2-68637992026-04-21T17:05:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-is-boxedfrac32-89150442026-04-21T17:05:51+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-intersection-point-is-leftfrac23-frac133right-11233692026-04-21T17:07:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-square-of-the-area-is-9609552026-04-21T17:07:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-gf3-is-35880142026-04-21T17:07:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-at-least-two-channels-allow-sufficient-flow-is-82059922026-04-21T17:12:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-fewer-than-two-animations-are-accepted-is-19151802026-04-21T17:12:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-it-rains-on-exactly-5-out-of-10-randomly-selected-days-is-approximately-85447432026-04-21T17:12:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-sequences-is-363352026-04-21T17:12:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-ways-to-choose-3-tributaries-is-29084882026-04-21T17:12:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-answer-is--boxed9--38323902026-04-24T12:42:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--x2--boxed20--52482042026-04-21T17:16:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-answer-is--boxeddfrac143-question-find-the-smallest-positive-angle-theta-such-that-costheta--60circ--costheta---60circ--sqrt3-8834892026-04-21T17:17:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-solution-but-to-fix-suppose-the-equation-is-81831002026-04-21T17:17:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-7-unique-individuals-however-the-problem-says-including-the-mentor-and-asks-how-many-unique-students-are-involved-42653502026-04-21T17:50:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-magic-and-beauty-explore-the-absolute-best-of-recent-disney-movies-everyones-talking-about-10602462026-04-21T17:57:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-review-this-game-changing-device-just-broke-my-expectations-59369512026-04-21T18:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-review-why-gentles-must-own-this-high-speed-marvel-2459682026-04-21T18:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-review-reveals-shocking-features-that-will-change-everything-11250412026-04-21T18:20:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-all-30-factor-pairs-produce-valid-lattice-points-85480462026-04-21T18:40:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-positive-divisors-of--1440--congruent-to--1-pmod4--is--boxed60--34237232026-04-21T18:40:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--52500-equiv-8--4--12-pmod16--3488662026-04-21T18:40:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/those-round-lenses-youve-been-missing-out-on360-style-goals-95485152026-04-21T18:41:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is-approximately--oxed00622--24111932026-04-21T18:44:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-the-significant-instrument-is-selected-is-47603292026-04-21T18:44:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is--oxedrac5606561--20875302026-04-21T18:44:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-product-of-the-number-of-these-two-types-of-atoms-is-oxed35-1429212026-04-21T19:05:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--fx--x2--2x--a-quadratic-but-consistent-with-the-data-despite-being-expected-cubic-the-data-fits-quadratic-since-the-third-differences-are-zero-first-579-second-22-third-differences-are-zero-confirming-degree--2-43219662026-04-21T19:06:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--fx--3x2--so--f5--3-cdot-25--75--10038862026-04-21T19:06:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--n2-equiv-1-pmod3--when--n-equiv-1--or--2-pmod3--5790242026-04-21T19:15:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-positive-integer--n--is-71225322026-04-21T19:15:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-such-two-digit-number-is-81994252026-04-21T19:16:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--n-equiv-7-pmod20--20978512026-04-21T19:16:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-such--n--is-28321282026-04-21T19:16:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--d-equiv-1-4-text-or--7-pmod9--88690202026-04-21T19:16:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--gx2---2--3x2---23---22x2---22--57x2---2---52--expanding-91074752026-04-21T19:26:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-closest-point-is--left--frac2425-frac3225-right--60829902026-04-21T19:26:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-is--boxed4--43471202026-04-21T19:27:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-value-is--boxed3--41266692026-04-21T19:27:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-roots-of-the-equation-are-boxed1-text-and--3-18530452026-04-21T19:33:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-f2--boxed1-78013092026-04-21T19:33:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expanded-form-is-boxedx2--x---6-78243482026-04-21T19:33:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-factored-form-is-boxedx---3x--3-81345602026-04-21T19:33:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expression-is-a-perfect-square-10597992026-04-21T19:33:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-number-of-1x1-compartments-required-is-boxed16-88920532026-04-21T19:33:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-cost-of-five-resistors-is-boxed150-13999042026-04-21T19:33:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-factored-form-is-boxed4x---52-12118962026-04-21T19:33:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--et--t2--11995522026-04-21T19:34:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-contradiction--unless--dt--is-not--t3--so-our-earlier-interpolation-must-be-reconsidered-76545512026-04-21T19:34:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-logical-resolution-is-that-the-minimum-condition-is-redundant-or-not-strictly-enforced-but-the-problem-includes-it-to-suggest-concavity-but--dt--t3--has-no-minimum-10821362026-04-21T19:34:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-required-relationship-is-boxedc--9a---5-24540852026-04-21T19:47:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-minimum-value-is--0--4--4--always-so-minimum-cannot-be-1-32270292026-04-21T19:47:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-seating-arrangements-is-15759282026-04-21T20:19:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-spake-skeleton-makeup-transform-your-face-lik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-viral-now--see-what-makes-it-unstoppable-8410842026-04-21T23:19:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumb-ring-hack-science-backed-coolness-you-need-in-2024-9428892026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumb-ring-secrets-the-hidden-accessory-every-trendsetter-owns-31502152026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-comic-exposed-the-mega-hits-you-didnt-know-you-needed-66117232026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-comic-bomb-inside-the-ultimate-superhero-showdown-52980302026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-comic-thats-taking-the-internet-by-stormyoull-shock-your-friends-20084072026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-comic-revolution-why-this-rediscovered-issue-is-a-must-read-now-66622182026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-general-ross-the-untold-story-behind-his-legendary-might-70571922026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-rating-you-wont-believe--critics-are-dropping-the-bomb-7798912026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-rating-secrets-exposed--could-it-be-the-best-cinematic-hit-yet-49298132026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-characters-unfolded-their-powers-backstories-and-epic-arcs-29856332026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thursday-blessings-revealed-stunning-images-guaranteed-to-spark-joy-75195312026-04-21T23:20:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-wiki-revealed-all-the-hidden-facts-youve-been-missing-42370512026-04-21T23:20:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderclap-shocked-the-world-this-silent-explosive-blast-will-blow-your-mind-89381342026-04-21T23:20:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderclap-explosion-you-wont-believe-the-sound-that-just-shook-across-the-state-75819362026-04-21T23:20:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderclap-stunned-millionswhat-caused-that-sudden-ear-wrenching-might-44456632026-04-21T23:20:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderstone-the-ultimate-stone-that-unlocks-hidden-iphone-power--shocked-buyers-are-racing-to-own-it-33145782026-04-21T23:20:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderstone-unleashed-how-this-mysterious-stone-powers-devices-like-never-before-7012242026-04-21T23:20:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thursday-movie-that-will-make-you-cryfor-the-wrong-reasons-52284362026-04-21T23:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thursday-movie-alert-the-hidden-gem-taking-social-media-by-storm-96859582026-04-21T23:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thursday-motivation-these-inspirational-quotes-will-fuel-your-inner-fire-59455242026-04-21T23:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thursdays-got-the-power-of-inspirationthese-quotes-will-wake-up-your-soul-95239442026-04-21T23:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thundercats-2011-series-the-hottest-secrets-youve-been-missing-2024-update-10779792026-04-21T23:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thundercats-2011-the-untold-epic-that-explain-every-fans-obsession-14272892026-04-21T23:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunk-croods-exposed-the-hidden-secrets-thatll-amaze-every-history-buff-63129882026-04-21T23:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunk-croods-uncovered-the-surprising-twist-that-changes-everything-you-thought-you-knew-77308762026-04-21T23:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thursday-morning-blessings-youll-want-to-start-your-week-with-joy-75966632026-04-21T23:20:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thursday-morning-blessings-7-magical-moments-to-transform-your-day-99970872026-04-21T23:20:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderous-surge-secrets-behind-the-roar-of-thunder-that-will-blow-your-mind-86474682026-04-21T23:20:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderous-fire-unbelievable-storms-that-will-make-you-feel-natures-power-73291512026-04-21T23:20:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderous-echoes-why-this-muster-triggeres-raw-adrenaline-and-unbelievable-impact-65515302026-04-21T23:20:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderous-roar-revealed-the-shocking-truth-behind-natures-most-powerful-thunderstorms-73239642026-04-21T23:20:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderous-phenomenon--watch-natures-most-explosive-showdown-drop-tonight-17360862026-04-21T23:20:24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on-in--u--is--boxed22--52825362026-04-22T00:41:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-such-functions-is-equal-to-the-number-of-real-constants--k--which-is-uncountably-infinite-but-if-we-are-to-count-distinct-functions-and-assuming-only-linear-solutions-are-acceptable-the-number-is-infinite-63501622026-04-22T00:41:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-surface-area-of-the-pollen-grain-to-the-spore-is--boxeddfrac427--37482662026-04-22T00:45:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--frachr--boxed4--28418412026-04-22T00:45:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-regions-area-is--boxed25pi---2--97270082026-04-22T00:45:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-is--boxeddfrac95-question-a-museum-curator-is-cataloging-a-collection-of-48-ancient-tablets-if-the-ratio-of-inscribed-tablets-to-plain-tablets-is-53-and-all-inscribed-tablets-must-be-displayed-in-groups-of-7-what-is-the-greatest-number-of-inscribed-tablets-that-can-be-grouped-without-leaving-any-out-57421202026-04-22T00:45:55+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-number-is-1-since-the-full-hall-can-be-covered-by-a-single-valid-rectangle-36457582026-04-22T00:46:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-i-was-just-waking-up--but-this-feeling-was-chameleon-pda-like-p-daddy-76009602026-04-22T00:57:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-coefficients-are--k--15---m---15---n--120--59418512026-02-24T18:42:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--p--2---q--2---r--6--43583852026-04-22T00:59:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remainder-is--boxed1--98871132026-04-22T01:02:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-base-ten-equivalent-is--boxed162--7968722026-04-22T01:02:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-gcd-is--23-cdot-32--8-cdot-9--72--75271752026-04-22T01:02:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-lcm-is--24-cdot-33-cdot-5--16-cdot-27-cdot-5--2160--23851902026-04-22T01:02:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-positive-divisors-is--boxed195--39060752026-04-22T01:02:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remainder-is--boxed2--93358302026-04-22T01:02:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-positive-integer-divisible-by-both-is--boxed36--80384432026-04-22T01:02:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remainder-is--boxed2-question-what-is-the-smallest-four-digit-number-that-is-divisible-by-the-least-common-multiple-of-12-and-18-and-also-leaves-a-remainder-of-3-when-divided-by-7-7349862026-04-22T01:02:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-such-number-is-boxed1116-17265272026-04-22T01:02:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-circumference-is-98629662026-04-22T01:12:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-rate-of-volume-increase-at--theta--60circ--is--boxedfracksqrt32--12197882026-04-22T01:12:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-longest-altitude-is--boxedfrac16813--cm-76290072026-04-22T01:12:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-increases-by--boxed13sqrt3--square-centimeters-56852026-04-22T01:12:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-is--boxedfracpi6-question-a-plant-biologist-is-modeling-the-growth-pattern-of-a-genetically-modified-crop-using-the-function--ft--a-cosomega-t--phi--where--t--represents-time-in-days-if-the-maximum-rate-of-change-of-growth-occurs-at--t--fracpi4omega--and-equals--5aomega--find-the-value-of--a--given-that--cosphi--frac35--and--sinphi--frac45--781332026-04-22T01:12:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-2023--7-times-172-57798442026-04-22T01:23:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-possible-value-of-gcda-b-is-boxed289-63759532026-04-22T01:23:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-3025-equiv-0-pmod11-60967502026-04-22T01:23:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-base-ten-representation-is-boxed262-70683142026-04-22T01:23:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-multiple-of-6-less-than-20-is-18-and-it-satisfies--183--5832--8000--therefore-the-largest-possible-value-of--p--is-boxed18-28325802026-04-22T01:28:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is-boxedfrac12-90305732026-04-22T01:28:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-greatest-common-factor-is-boxed36-48410532026-04-22T01:29:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-clay-particles-is-boxed9question-a-hydrologist-is-analyzing-rainfall-data-over-7-consecutive-days-if-the-total-rainfall-recorded-is-140-mm-and-each-days-rainfall-is-a-positive-integer-in-millimeters-what-is-the-maximum-possible-value-of-the-least-common-multiple-of-the-7-daily-rainfalls-64472422026-04-22T01:29:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-lcm-occurs-when-the-numbers-are-chosen-to-include-as-many-distinct-prime-powers-as-possible-especially-large-primes-28662992026-04-22T01:29:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--f1---4--after-removing-the-discontinuity-98166362026-04-22T01:35:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-8000-bacteria-are-present-after-12-hours-1890802026-04-22T01:35:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--hx--rac23x3--rac43x--2--92577102026-04-22T01:39:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-number-of-grants-is-boxed15-70488112026-04-22T01:44:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-answer-is-boxed221-45386852026-04-22T01:44:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-textlcm--frac2025-times-151515--2025-times-101--204525-50135392026-04-22T01:44:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-answer-is-boxed437-39067562026-04-22T01:44:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-such-integer-is-boxed5question-an-entomologist-studies-5-species-of-bees-3-species-of-wasps-and-2-species-of-beetles-if-she-observes-one-species-per-day-for-10-days-how-many-distinct-observation-sequences-are-possible-if-species-within-each-category-are-indistinguishable-93140922026-04-22T01:44:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is-boxed00729-60326052026-04-22T01:54:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderbolts-unfolded-the-magnificent-villain-you-never-saw-coming-1817312026-04-22T02:03:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-such--n--is-11-22846032026-04-22T02:12:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/through-the-honey-bear-meme-frenzy--why-this-winnie-the-pooh-clip-is-unstoppable-72396102026-04-22T02:14:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-816-units-can-be-produced-8436872026-04-22T02:23:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-of-rolling-a-number-divisible-by-4-is--frac312--frac14--and-the-probability-of-not-rolling-a-multiple-of-4-is--1---frac14--frac34--9180732026-04-22T02:33:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is--boxedfrac25--60355222026-04-22T02:33:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-is--boxedfrac40243--48211422026-04-22T02:33:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-it-50964422026-04-22T02:34:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-is--boxedfrac32--78368512026-04-22T02:36:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-is--boxed13--85416382026-04-22T02:37:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-is--boxed3-question-17382132026-04-22T02:37:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-inscribed-circle-is-boxed4-25880832026-04-22T02:37:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-hypotenuse-is-boxed15-and-the-area-is-boxed54-71174272026-04-22T02:37:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-circumradius-of-the-triangle-is-boxed85-74900662026-04-22T02:37:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-increases-by-boxed11sqrt3-square-centimeters-15487392026-04-22T02:37:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-cos-60circ-is-boxedfrac12question-find-tan-theta-where-theta-is-the-angle-between-the-line-of-sight-from-a-weather-balloon-at-2-3-to-a-cloud-at-5-11-and-the-horizontal-axis-47017862026-04-22T02:37:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-possible-number-of-regions-in-each-cluster-under-the-given-constraints-is-23655322026-04-22T02:43:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-valid-prime-number-of-rows-greater-than-3-that-divides-180-is-5-then-the-number-of-dots-per-row-is-24680102026-04-22T02:43:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-number-of-regions-that-can-be-in-each-group-is-48168732026-04-22T02:43:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-number-of-samples-per-column-is-45753962026-04-22T02:43:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-points-of-intersection-are--x--0--and--x--2--24776512026-04-22T02:51:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shortest-distance-from-the-center-to-the-path-is--boxed4--meters-20171292026-04-22T02:53:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-inscribed-circle-is--boxeddfrac4sqrt33--cm-50614442026-04-22T02:53:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-each-side-of-the-hexagon-is-boxed6-3590842026-04-22T03:10:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-base-of-the-cone-is-boxed4-16185052026-04-22T03:10:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-region-is-a-square-with-side-length-4-bounded-by--x-leq-4---y-leq-4--and-symmetric-across-both-axes-18623942026-04-22T03:10:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-x--7-79116902026-04-22T03:19:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--t--3--or--t--2--since--sqrtv--t--the-roots--v--are--v--32--9--and--v--22--4--the-product-of-the-roots-is-56117742026-04-22T03:19:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-limiting-value-is-boxedfrac13-64224752026-04-22T03:20:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-real-roots-is-boxed3question-compute-tan-30circ-in-a-right-triangle-with-an-opposite-side-of-length-1-and-adjacent-side-of-length-sqrt3-30539312026-04-22T03:20:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrive-in-sun-only--52---18--34--65151542026-04-22T03:23:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrive-in-partial-shade-only--41---18--23--41309942026-04-22T03:23:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrive-in-both-18-82848432026-04-22T03:23:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-fees-are-equal-after--boxedfrac203--hours-93821002026-04-22T03:28:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-altitude-the-bird-reaches-is--boxed3--26967092026-04-22T03:28:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-effectiveness-is--boxed3b2--2830082026-04-22T03:28:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-bird-reaches-its-maximum-altitude-at--boxed3--minutes-after-takeoffquestion-a-precision-agriculture-drone-programmer-needs-to-optimize-the-route-for-monitoring-crops-across-a-rectangular-field-measuring-120-meters-by-160-meters-the-drone-can-fly-in-straight-lines-and-covers-a-swath-width-of-20-meters-per-pass-to-minimize-turn-around-time-it-must-align-each-parallel-pass-with-the-shorter-side-of-the-rectangle-what-is-the-shortest-total-distance-the-drone-must-fly-to-fully-scan-the-field-41049802026-04-22T03:28:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-you-knew-hollywood-this-123-movie-falls-outside-the-boxyou-must-see-it-89564382026-04-22T03:38:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-your-friendthis-2-players-game-online-is-revolutionizing-online-gaming-36764322026-04-22T03:45:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-swear-by-365-visioheres-how-it-transforms-your-design-workflow-93298892026-04-22T03:54:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/three-paychecks--nine-months-of-financial-freedom-heres-how-to-make-it-happen-19702682026-04-22T03:54:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-number-of-6-digit-numbers-with-at-least-two-consecutive-3s-3313732026-04-22T03:55:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-conditional-probability-is-96469582026-04-22T03:55:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-10-distinct-models-are-required-36886222026-04-22T03:55:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-shocked-heres-what-300-federal-poverty-level-actually-means-64681492026-04-22T03:55:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-maximum-is-100-satiety-but-the-rate-caps-at-finite-increase-89038932026-04-22T04:06:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-four-digit-number-divisible-by-both-7-and-13-is-70804582026-04-22T04:08:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-perhaps-the-problem-meant-different-numbers-96632562026-04-22T04:11:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-groupings-is--15--36560102026-04-22T04:13:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expanded-and-simplified-polynomial-is-25208812026-04-22T04:13:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--d--4-5-6--however-this-coincides-with-point--b--which-implies--abcd--collapses-into-a-degenerate-parallelogram-a-line-segment-not-a-valid-3d-parallelogram-45819562026-04-22T04:15:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-point--d--satisfying-parallelogram-vector-conditions-is--456--but-it-lies-on-the-line-through--a-b-c--so--abcd--is-degenerate-52910172026-04-22T04:16:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-pairs-of-numbers-are-6-12-and-12-6-95883832026-04-22T04:16:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-amount-of-fertilizer-that-maximizes-the-yield-is-3-pounds-and-the-maximum-yield-is-38-bushels-52104672026-04-22T04:21:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-depth-at-which-the-density-of-artifacts-is-10-artifacts-per-cubic-meter-is-3-meters-47398472026-04-22T04:21:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shortest-altitude-is-equal-to-this-altitude-from-the-right-angle-to-the-hypotenuse-75655712026-04-22T04:25:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-both-processes-align-again-after-1260-seconds-84169122026-04-22T04:51:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-positive-4-digit-numbers-divisible-by-11-is-42905462026-04-22T04:52:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-circular-sector-is-15397272026-04-22T04:56:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-longest-altitude-is-66301402026-04-22T04:56:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-inscribed-circle-is-69262282026-04-22T04:56:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrilling-insider-secrets-of-the-adventureworks-database-exposedread-now-77395872026-04-22T05:01:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-cost-for-retrofitting-3-buildings-under-this-nested-model-is-85-million-dollars-77266462026-04-24T12:46:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-lattice-points-is-33765022026-04-22T06:48:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-pre-money-valuation-was-566666667-and-ownership-is-17-42672982026-04-22T06:51:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-play-airplane-game-online--experience-thrills-with-every-flight-51220872026-04-24T12:50:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-the-degrees-of-all-vertices-is-52637462026-04-24T12:52:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrivin-your-database-add-column-instantly-with-alter-table-oracle-mastery-50427612026-04-22T07:01:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shortest-altitude-is-8-km-80201912026-04-22T07:03:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-meaningful-color-combinations-is-71360362026-04-22T07:03:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-combinations-is-50562972026-04-22T07:03:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shortest-altitude-is--112--km-representing-the-minimal-perpendicular-distance-from-the-opposite-vertex-to-the-steepest-flow-edge-which-may-correlate-with-high-permeability-dissipation-zones-98954232026-04-24T12:56:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-diameter-of-the-circle-is-13-cm-and-the-circumference--c--is-1525782026-04-24T12:56:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-fully-rationalized-expression-is-39849482026-04-24T12:56:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-dna-like-sequences-is-1260-68729822026-04-24T13:00:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwback-to-classic-hits-exclusive-apple-tv-screeners-you-need-to-watch-now-16883242026-04-22T07:25:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-such-triangles-is-the-number-of-valid--k--which-is--100--23853172026-04-22T07:32:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-model-must-have-had-13-successful-predictions-in-the-last-10-66479192026-03-12T18:37:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-circumscribed-circle-is-39929522026-04-22T07:52:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-only-192-more-instruments-can-be-scanned-before-storage-runs-out-27476882026-04-22T08:02:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-exact-solution-but-must-be-solvable-2799892026-04-24T13:10:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-area-of-the-incircle-to-the-area-of-the-triangle-is-65260752026-04-22T08:03:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-coordinates-of-the-closest-point-are-170272026-04-24T13:11:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-original-equation-becomes-75706872026-04-22T08:08:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-investing-the-entire-10000-in-project-b-maximizes-profit-2610362026-04-22T08:09:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-pulses-rounded-to-the-nearest-million-is-2215385000-5408192026-04-22T08:13:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-final-count---2215384615--million-pulses-27926872026-04-22T08:13:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-alice-and-bob-transmit-the-disease-to-each-other-in-one-round-is-39221042026-04-22T08:17:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-she-succeeded-in-8-of-the-final-10-challenges-61911462026-04-22T08:17:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-of-the-weekend-banking-top-banks-that-stay-open-after-hoursdont-miss-these-63534572026-04-22T08:19:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-hit-strike-outbaseball-crazygames-proves-this-thrill-is-just-a-click-away-19291222026-04-24T13:15:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-n--7-full-cycles-are-required-75293402026-03-12T22:35:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-n--5-years-smallest-integer-greater-than-4088-16574962026-03-12T22:35:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-depth-at-the-center-is-0-meters-98539922026-04-24T13:17:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-better-interpretation-total-energy-of-all-particles-means-cumulative-energy-output-over-time-or-current-total-energy-accounting-for-decay-but-standard-interpretation-in-such-problems-decay-redistributes-energy-total-remains-same-61054462026-04-24T13:18:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-after-30-ns-total-energy-is-still-128-j-64457902026-04-24T13:18:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-are-watchingthe-cheapest-stocks-to-buy-right-now-are-unbelievable-opportunities-78460042026-04-22T08:32:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-host-selection-dynamics-emerge-from-a-multidimensional-interaction-space-where-evolutionary-adaptation-meets-ecological-context-defining-pathogen-distribution-and-transmission-potential-under-variable-abiotic-and-biotic-pressures-15555922026-04-22T08:35:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-height-reached-by-the-droplet-is-42473172026-04-22T08:36:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-distinct-sequences-is-the-product-of-selecting-the-species-and-arranging-them-33064402026-04-24T13:20:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-first-whole-day-when-concentration-drops-below-10-ppm-is-10319512026-04-24T13:22:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-simplified-form-with-rationalized-like-expression-is-9175362026-04-24T13:22:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrilling-billiard-games-online-you-must-try-before-they-disappear-19025602026-04-22T08:47:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-space-diagonal-is-43456842026-04-22T08:54:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-circle-is--18268682026-04-22T09:09:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-fired-at-blue-originbiggest-layoff-in-space-industry-history-17318932026-04-22T09:10:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-profit-overnightheres-why-btu-stock-is-the-next-big-thing-67531212026-04-24T13:35:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-viral-particles-after-8-hours-is-13033022026-04-22T09:40:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--p5--225--2--50--2--52--48050322026-04-22T09:40:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-are-cashing-out-of-401ks--heres-the-insane-rule-everyone-skips-92906112026-03-13T06:44:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-population-after-15-days-is-5400-organisms-68778242026-04-22T09:42:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-population-in-year-4-is-128-39080652026-04-22T09:42:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-swear-by-this-simple-hack-capital-letters-to-lowercase-boosts-engagement-instantly-245722026-04-22T09:46:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-diameter-of-the-circle-is-13-cm-so-the-radius-is-28330272026-04-22T09:49:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-assignments-is-37839912026-04-22T09:50:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-of-a-water-shortage-in-exactly-two-of-the-three-months-is-62267692026-04-22T09:50:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-communication-patterns-where-each-method-is-used-at-least-once-is-98608652026-04-22T09:50:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/three-ways-the-sql-case-statement-can-boost-your-data-analysis-instantly-55599922026-04-22T09:54:55+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-hide-their-401k-savingsdiscover-how-to-cash-out-sales-like-a-pro-16392042026-04-22T09:56:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-logical-resolution-is-frogs-lose-6-legs-but-since-they-only-have-4-this-is-0-functional--but-herpetologists-count-legs-even-if-missing-no-26682092026-04-22T10:06:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-must-allow-multiple-but-the-implies-smallest-12173042026-04-22T10:10:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-at-least-one-particle-shows-the-entangled-state-is-47843622026-04-22T10:11:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-both-algorithms-take-the-same-time-when--x--2--17216372026-04-22T10:24:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-possible-value-is-98280192026-04-22T10:28:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-a-randomly-chosen-integer-is-even-is-88339082026-04-22T10:28:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-win-every-daydiscover-the-hottest-click-games-you-cant-miss-8554032026-03-13T12:14:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-support-beam-is-51426672026-04-22T10:33:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-base-is-approximately-86784012026-04-22T10:34:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-is--3w--30--meters-the-area-of-the-rectangle-is-99281842026-04-24T13:54:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-different-teams-is-83389032026-04-22T10:45:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-prime-factor-is--11--4261992026-04-22T10:49:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-possible-value-of--ex--is-29427362026-04-22T10:49:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-solution-is-all-points--x-y--such-that---6--2x---3y--6--82866822026-03-13T15:34:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-made-the-529-to-roth-swapdiscover-the-secret-thats-changing-retirement-planning-12237752026-04-22T11:00:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-paths-that-do-not-cross--y--x--1--is-66994012026-04-24T14:00:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--dn--2--when--n--is-odd-and--8--when--n--is-even-the-maximum-possible-value-is-therefore--8--32810082026-04-22T11:01:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-volume-of-the-sphere-to-the-hemisphere-is-20473442026-04-22T11:01:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-of-rows-discover-the-quickest-way-to-count-excel-cells-28589762026-04-24T14:03:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-time-they-are-equal-is-at-time-zero-but-suppose-the-model-was-meant-to-reflect-a-crossover--perhaps-fixed-leakage-and-recharge-rates-were-misstated-lets-revise-the-model-with-a-consistent-dynamics-where-equality-occurs-at-a-positive--t--47656592026-04-24T14:03:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-positive-time-yields-equality-under-these-rates-but-if-the-problem-intends-a-meaningful-crossover-likely-the-recharge-or-extraction-differs-however-per-instruction-output-title-based-on-model-65314572026-04-24T14:03:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-only-way-to-have--t--0--net-a--net-b-39507942026-04-24T14:03:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-solution-is--t--0--15410982026-04-22T11:10:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-you-knew-trading-this-course-option-trading-secrets-change-everything-52993442026-04-24T14:03:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-such-positive-integer-is-192-8986632026-04-22T11:12:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-dimensions-of-the-garden-are-8-meters-by-24-meters-62985182026-04-22T11:16:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-youll-cry-laughing-crazygames-hu-just-went-wildheres-what-happened-26398492026-03-13T18:32:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-not-achieving-mainstream-chart-success-the-album-developed-a-devoted-following-particularly-among-aboriginal-communities-and-regional-audiences-and-remains-a-touchstone-in-discussions-of-indigenous-contemporary-music-18583662026-04-22T11:27:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-is-divisible-by-8-and-the-remainder-is-0-6503592026-04-22T11:27:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-every-factor-pair-ab-with-ab--2025-gives-a-solution-provided-a-and-b-are-both-odd-which-they-are-and-we-must-consider-both-positive-and-negative-factor-pairs-since-a-b-can-be-any-integers-positive-or-negative-such-that-ab--2025-95097852026-04-22T11:27:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-to-lose-create-a-recovery-usb-for-windows-10--restore-it-today-64381502026-04-22T11:27:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-one-module-produces-well-over-the-need-90515412026-04-24T14:09:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-each-module-must-have-a-peak-power-rating-of-at-least-2500-w-20246662026-04-22T11:34:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-distinct-experimental-setups-is-20671692026-03-13T20:33:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-distinct-combinations-is-5521002026-03-13T20:34:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-different-arrangements-is-28210492026-03-13T20:34:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-pollen-sample-is-18487632026-04-22T11:46:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-circumference-of-the-park-is-72123742026-04-22T11:46:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-area-to-the-circumference-of-the-badge-is-34800592026-04-22T11:46:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-change-in-lateral-surface-area-is-17306262026-04-22T11:46:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/threats-are-risinglearn-the-ultimate-cyber-security-incident-response-plan-to-act-fast-84523872026-04-22T11:47:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-function--fx--satisfies-81756732026-04-24T14:14:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/those-who-collect-at-least-one--x---18-99154482026-04-22T11:49:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-scenario-is-impossibleunless-data-is-averaged-but-the-problem-says-the-rest-were-evenly-spread-so-it-must-be-exact-26255202026-04-22T11:56:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-error-in-problem-but-for-consistency-with-format-proceed-with-algebra-42119352026-04-22T11:56:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thoughtful-daycare-owners-switch-to-ipad-softwaresee-the-difference-in-one-click-54362542026-04-22T11:57:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-if-intensity-is-184-the-original-bewertung-score-is-184-24593952026-04-22T12:08:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-volume-to-the-surface-area-of-one-face-is-62043842026-04-22T12:14:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-measure-of-the-angle-between-adjacent-gnomon-tips-is-7312692026-04-22T12:14:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-lateral-surface-area-to-the-area-of-the-base-is-16749062026-04-22T12:14:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-ceiling-did-lawmakers-finally-pass-a-bill-to-stop-taxes-on-overtime-pay-88344062026-04-22T12:15:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-2431-is-the-lcm-we-check-if-it-is-a-four-digit-number-which-it-is-therefore-the-smallest-four-digit-number-divisible-by-11-13-and-17-is-87741292026-04-24T14:23:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-odd-divisors-of-360-is-6092812026-04-24T14:23:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-surface-area-of-the-cylinder-to-its-volume-is-14203922026-03-14T01:44:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-volume-of-the-cone-to-the-volume-of-the-sphere-is-42020242026-04-24T14:24:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-area-of-the-triangle-to-the-square-of-its-perimeter-is-93757362026-03-14T01:44:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-divisors-of-180-divisible-by-5-is-49681312026-04-22T12:23:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-seekers-unite-dji-yoo-just-broke-the-drone-industry-in-one-click-77105202026-03-14T02:12:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-factored-form-is--x--3mx--4m--88017262026-04-22T12:28:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-beyond-the-pilakha-backwater-complex-payer-khulnas-sub-deltas-differ-they-are-tidal-channels-with-wave-sorted-offshore-edge-banks-strengthened-at-the-seaward-mouth-by-reef-islands-or-chenier-deposits-deposit-estuaries-by-contrast-form-within-the-reach-of-dominant-fluvial-sediment-delivery-their-ecology-and-economy-tied-to-annual-flood-cycles-6707322026-03-14T02:49:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunder-download-java-jdk-for-windows-10--instantly-boost-your-apps-42468162026-03-14T03:36:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-such-angles-is-52305982026-04-24T14:30:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-ways-with-at-least-one-fossil-from-each-species-is-92273772026-04-24T14:30:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-different-ways-to-color-the-zones-is-52015372026-04-24T14:30:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-distinct-funding-and-mentorship-combinations-is--160--62165622026-04-22T12:45:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-molecular-configurations-is--168--3282622026-04-22T12:45:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-final-answer-is-best-given-as-75826212026-04-22T12:47:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-balanced-energy-state-occurs-at-27262042026-04-22T13:03:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--a--4-b--3--or-vice-versa-so-41180472026-03-14T06:03:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-value-of--fx--is-19352462026-04-22T13:11:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-diameter-of-the-circle-is-5-mm-so-the-radius-is-87905412026-03-14T07:04:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-3-clusters-are-formed-and-105-fragments-remain-isolated-14358642026-04-24T14:40:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remainder-when-8112-is-divided-by-11-is-9390812026-04-24T14:40:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-greatest-common-divisor-is-59849512026-04-24T14:40:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-odd-divisors-of-1800-is-25843122026-04-24T14:40:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-simplified-expression-and-domain-are-87011702026-04-22T13:26:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-series-becomes-a-telescoping-series-2498692026-04-22T13:28:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-sequences-is-69886772026-04-22T13:31:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-likely-the-constant-is-scaled-differently-16667002026-04-22T13:37:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-9-non-overlapping-2x2-sections-are-needed-to-cover-the-entire-6x6-grid-this-is-because-19682582026-04-22T13:37:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-area-of-the-hexagon-is-24519762026-04-22T13:43:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shortest-altitude-minimum-vertical-height-from-the-longest-side-is-112-cm-45520752026-04-22T13:43:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-excel-getting-impossible-heres-the-ultimate-cheat-sheet-to-master-all-excel-functions-16856002026-04-22T13:53:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-5-participants-did-not-develop-immunity-5998692026-04-22T13:56:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-seekers-alreadyheres-why-extreme-driving-is-more-dangerous-than-ever-59479012026-04-22T14:03:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-volume-of-the-full-sized-drone-to-the-model-is-64894712026-04-22T14:08:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-side-length-increases-by-approximately-36001792026-04-22T14:08:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-edge-length-of-the-tetrahedron-is-42049732026-04-22T14:08:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-60-of-the-land-remains-suitable-for-the-plant-74737252026-04-24T14:55:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thruster-fueled-surge-fas-stock-jumps-past-50-in-just-3-days-58138332026-04-24T14:55:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-multinomial-coefficient-is-60838322026-04-22T14:11:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-four-digit-number-divisible-by-91-is-18687682026-04-22T14:14:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-th--2h--10-now-compute-t15-1289822026-04-22T14:14:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-a--b--9-consistent-with-earlier-39639212026-04-22T14:14:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-can-save-big-with-these-secret-fidelity-401k-loan-rates-27050162026-04-22T14:24:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-she-has-240-chocolates---75-chocolates--165-chocolates-left-37864422026-04-22T14:29:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-path-area-is-456-square-meters---300-square-meters--156-square-meters-45137182026-04-22T14:30:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-n--20-since-n-must-be-positive-88227942026-04-22T14:30:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-active-zone-is-79197042026-04-24T15:01:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-business-cards-asidefidelity-cards-are-the-future-of-client-tracking-89509162026-03-14T14:43:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/three-shocking-reasons-your-fidelity-donor-advised-strategy-is-boosting-your-estate-now-33954662026-04-22T14:39:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remainder-is-a-linear-polynomial--ax--b--such-that-4690612026-04-22T14:42:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-such--n--is--1--91902212026-04-22T14:42:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-factorization-of-the-original-expression-is-47324892026-04-24T15:05:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-magnitude-of-the-torque-cross-product-is-19454192026-04-24T15:06:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-effective-projection-reversal-factor-is-33827802026-04-24T15:06:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-surface-area-when-the-volume-is-doubled-is-5229982026-04-24T15:09:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-methods-a-and-b-are-chosen-is-78355052026-03-14T20:40:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-5-liters-of-solution-a-and-5-liters-of-solution-b-are-needed-16238372026-04-24T15:10:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-10010-is-the-smallest-5-digit-number-divisible-by-11-80723972026-04-22T15:07:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-a-tiling-is-possible-with-24-rectangles-78448062026-04-22T15:07:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-focus-is-125-meters-above-vertex-46838532026-04-22T15:11:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-private-her-influence-echoes-through-memoirs-vintage-photography-archives-and-stories-of-post-war-londons-elite-she-remains-a-symbol-of-mid-century-elegance-embodying-resilience-creativity-and-the-magnetic-allure-of-britains-social-scene-during-a-time-of-reinvention-81124382026-04-24T15:12:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-final-total-95--92--10--197-92810132026-04-24T15:15:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-area-of-the-walls-is-18301932026-04-22T15:24:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-stock-price-after-12-months-will-be-approximately-17959-51344142026-04-22T15:28:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-sphere-is-5-centimeters-91092742026-04-22T15:28:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-it-will-take-approximately-417-hours-73068702026-04-22T15:28:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-it-takes-approximately-306-seconds-to-reach-the-highest-point-85428522026-04-22T15:28:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-dimensions-are-10-meters-by-20-meters-16847002026-04-22T15:28:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-amount-after-3-years-is-approximately-598340-81865322026-04-22T15:28:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-each-robot-receives-4-extra-sensors-56290182026-04-22T15:28:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-after-1-month-treated-exceeds-untrained-45648182026-04-22T15:31:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-are-discoverin-linux-nowheres-how-to-join-them-76633742026-03-14T23:01:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-even-divisors-is-49523852026-04-24T15:20:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-integer-year-satisfying-this-is-6-81280892026-04-24T15:22:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-are-exploding-on-screensmaster-this-ultimate-fps-shooter-66146612026-04-22T15:56:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-different-bridge-designs-possible-is-94950182026-04-24T15:27:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-such-8-digit-integers-is-68572492026-04-24T15:27:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-average-temperature-over-the-30-day-period-is-87905702026-03-15T01:34:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-product-is-always-divisible-by-6-60653112026-04-24T15:27:55+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-integer-that-must-divide-the-product-of-any-three-consecutive-integers-is-6-20558752026-04-24T15:28:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-102-is-the-smallest-three-digit-number-divisible-by-17-6874952026-04-24T15:28:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-not-widely-known-during-his-lifetime-kleinschmidts-documentation-has-become-foundational-in-regional-architectural-studies-his-images-provide-insight-into-building-techniques-decorative-elements-and-the-evolution-of-american-urban-and-suburban-landscapes-in-the-early-1900s-37228202026-04-24T15:28:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/through-this-descent-the-earldom-entered-the-wentworth-familys-principal-line-again-and-remained-active-in-social-and-political-spheres-particularly-through-subsequent-generations-at-scarbrough-hall-66726482026-04-24T15:28:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill--terror-discover-the-best-free-online-scary-games-guaranteed-to-spook-you-99812882026-04-22T16:13:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-first-positive-time-at-which-the-phase-shift-is-maximum-is-2522552026-04-24T15:30:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-ways-to-allocate-the-sunlight-is-32856622026-04-22T16:16:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-anagrams-is-65171522026-04-22T16:16:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-combinations-of-dopant-assignments-is-93383652026-04-22T16:16:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-distributions-is-30701072026-04-22T16:16:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-102-liters-are-reused-meaning--120---102--18--liters-must-be-newly-sourced-52721372026-04-22T16:19:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-at-least-one-erupts-is-10500972026-04-22T16:20:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-all-real-roots-with-multiplicity-is-6-66152842026-04-22T16:24:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-successful-tests-in-the-last-10-is-15153372026-04-22T16:24:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-height-of-the-cylinder-is-84109442026-04-24T15:35:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-complete-factorization-over-the-reals-is-11003162026-04-22T16:38:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-estimated-total-fish-population-is-600-98887652026-04-24T15:38:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-8-type-a-systems-are-required-93267892026-04-24T15:38:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-of-rolling-exactly-two-4s-in-three-rolls-79636682026-04-22T16:47:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-solution-is-when--b--0--and--a--is-any-nonzero-real-number-therefore-the-relationship-is-6642712026-04-22T16:47:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-horizontal-asymptote-is--y--1--36496902026-04-22T16:50:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-it-takes-30-years-for-the-population-to-increase-by-a-factor-of-9-26272952026-04-22T16:51:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-ways-to-group-the-6-distinct-neural-signals-into-2-indistinguishable-clusters-with-no-cluster-empty-is-76803622026-04-22T16:54:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-ways-to-divide-8-distinct-neural-pathways-into-3-unlabeled-non-empty-groups-is-83688912026-04-22T16:54:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-sensor-to-region-assignments-is-61345252026-04-22T16:54:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-option-c-is-best-aligned-with-the-functional-core-of-cyberops-99936022026-04-22T16:55:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-only-one-rectangular-section-is-needed-20679082026-04-24T15:41:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-diameter-of-the-circle-is-10-m-the-circumference-c-is-15186072026-04-22T17:03:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-precision-and-chaostop-gun-shooting-games-compared-here-82843372026-04-22T17:16:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-thickness-is-68-meters-occurring-in-2030-5053042026-04-22T17:17:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-she-spends-12-hours-per-day-on-compounds-and-completes-1-full-compound-16025052026-04-22T17:17:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-seekers-new-obsession-the-headcar-that-transforms-driving-into-pure-chaos-26782522026-03-15T06:08:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-time-of-maximum-distance-is-75761382026-04-22T17:25:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-shortest-support-perpendicular-to-the-hypotenuse-is-75600852026-03-15T06:51:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-volume-of-the-sphere-to-the-smaller-dome-is-19528732026-03-15T06:51:55+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-you-never-notice-hipaa-laws-are-changing-healthcare-foreverheres-the-truth-14407962026-04-24T15:53:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-you-knew-hormel-this-stock-quote-reveals-shockingly-powerful-momentum-56016812026-04-24T15:56:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-average-signal-strength-is-given-by-49166382026-04-24T15:57:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-find-largest-number-of-groups-same-size-such-that-group-size-divides-21-and-is-a-fibonacci-number-63336282026-04-22T17:59:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-maximum-number-of-equal-sized-groups-is-21-each-of-size-1-31582282026-04-24T15:57:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-strongest-quake-released-about-724-times-more-energy-than-the-weakest-27610432026-04-24T15:57:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-it-is-impossible-to-select-5-non-adjacent-layers-from-8-layers-91225752026-04-24T15:57:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-possible-growth-rates-are-2-or-3-46691782026-04-22T18:01:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-three-digit-multiple-of-91-is-92362592026-04-22T18:02:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-you-could-never-delete-multiple-emails-heres-howfast--easy-71872632026-03-15T07:42:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/throughout-the-20th-century-the-mfa-continued-to-grow-both-in-size-and-scope-major-expansions-in-the-1980s-and-2010s-including-richard-resisted-integrated-new-wingssuch-as-the-west-wing-1987-and-the-historical-peter-marzin-wing-2016adding-critical-space-for-contemporary-art-conservation-and-education-the-museums-commitment-to-curation-and-scholarship-deepened-with-initiatives-enhancing-accessibility-and-digital-engagement-key-milestones-include-the-establishment-of-specialized-departments-eg-asian-art-modern-and-contemporary-and-landmark-loan-exhibits-cementing-its-role-as-a-preeminent-institution-in-american-art-and-global-cultural-heritage-today-the-mfa-stands-as-a-testament-to-bostons-enduring-legacy-in-fostering-artistic-excellence-and-public-appreciation-30207392026-04-22T18:04:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-solutions-are-integers-from---3--to--7--inclusive-59968962026-04-24T15:58:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--33--measurements-are-taken-before-exceeding-80467622026-04-24T15:58:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shortest-altitude-is-the-one-to-the-hypotenuse-45544132026-04-24T15:58:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-always-use-this-secret-to-find-their-windows-activation-key-instantly-61582482026-04-22T18:05:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-oxygen-produced-generated-per-day-is-192-kg-78496072026-04-22T18:06:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-if-total-storage-is-unknown-but-we-assume-total-allocated-is-whats-used-or-reserved-the-unused-portion-depends-on-total-11500752026-04-22T18:06:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-complete-factorization-over-the-real-numbers-is-50871192026-04-22T18:07:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-inverse-of-3-modulo-19-is-6-multiply-both-26706922026-04-22T18:07:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-sequences-containing-at-least-one-of-each-type-is-85292672026-03-15T07:51:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-prime-factor-of-84-is-58676022026-04-24T16:00:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-way-this-makes-sense-is-if-the-average-time-between-consecutive-discoveries-refers-to-the-rate-of-progress-requiring-a-smaller-average-but-with-only-four-events-adding-one-reduces-the-average-only-if-placed-near-the-end-but-it-increases-the-small-gaps-51794502026-04-22T18:26:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-valid-selections-are-those-that-include-both-s-and-e-and-2-others-from-the-remaining-5-technologies-12721882026-04-22T18:27:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-only-possible-if-selecting-from-5-years-1616912026-04-22T18:27:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-y-intercept-point-is-0--3-which-can-be-written-as-41194222026-04-22T18:28:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-for-the-equality-to-hold--a--0--and-then--b--is-arbitrary-28706872026-04-22T18:28:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-possibility-is-that-the-equation-holds-only-when--a--0--and--b--is-arbitrary-83539642026-04-22T18:28:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-different-combinations-is-71298012026-04-22T18:29:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-altitude-to-the-hypotenuse-is-36060992026-04-22T18:29:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-blowing-hack-transform-classic-outlook-themes-like-a-pro-no-coding-required-26537552026-04-22T18:34:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-possible-value-is-56499332026-04-22T18:36:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-times-at-which-the-rate-of-change-of-the-flow-is-zero-are-79091452026-04-24T16:06:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the--y--intercept-is-when--x--0--85492142026-04-24T16:06:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-20-additional-samples-were-tested-the-finetuning-involved-testing-20-new-samples-to-achieve-the-improved-accuracy-93391512026-04-22T18:39:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-in-excel-efficiency-copy-formulas-instantly-with-this-trick-46203812026-04-22T18:39:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-integer-that-must-divide-the-product-of-any-five-consecutive-integers-is-40113992026-04-22T18:44:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-7-letter-words-is-17778512026-04-22T18:46:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-signal-to-noise-ratio-is-39-42494262026-04-24T16:09:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-have-done-it--learn-exactly-how-to-get-out-of-debt-without-eating-away-your-income-53156092026-04-22T18:53:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-answer-is-no-such-x-exists-84426002026-04-22T18:55:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-coordinates-of-the-foci-are-78427172026-04-22T18:58:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-measure-of-each-interior-angle-is-1019692026-04-22T18:58:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-at-least-7-tags-transmit-data-is-approximately-90497212026-04-22T18:58:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-number-of-independent-claims-is-5-38899482026-04-22T19:02:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-highest-annualized-value-is-350000-52908142026-04-24T16:11:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-number-of-years-is-12-66602982026-04-22T19:02:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-fraction-of-the-field-that-remains-unwatered-is-95529372026-04-22T19:06:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-base-ten-equivalent-is-2021-70220522026-04-24T16:11:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-mutated-organisms-in-the-new-sample-is-41120342026-04-22T19:07:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-approved-proposals-among-the-additional-50-is-22421402026-04-22T19:07:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-recover-deleted-text-messages-on-android-in-minutesfind-out-how-97219782026-04-24T16:12:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-your-word-file-was-lost-this-pro-method-will-recover-it-instantly-17524572026-04-22T19:10:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-you-deleted-it-heres-the-secret-hack-to-recall-emails-in-outlook-88709962026-04-22T19:11:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-unrealistic-mathematically-consistent-with-the-logic-15902222026-04-22T19:11:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/threw-away-your-data-watch-this-shocking-hack-to-reset-your-pc-like-a-pro-27140642026-04-22T19:13:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shape-is-a-sphere-of-radius-2-centered-at-0-0-2-92176352026-04-22T19:15:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-gears-realign-after-180-minutes-60949982026-04-24T16:14:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-classification-schemes-is-13164792026-04-22T19:17:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/three-random-integers-between-0-and-50-inclusive-are-chosen-let--x--be-the-median-of-the-three-what-is-the-probability-that--x--25--72313512026-04-22T19:17:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-groups-is-20108122026-04-22T19:21:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-diameter-of-the-circle-is-20-km-so-the-radius-is-10-km-which-matches-the-given-radius-the-circumference-c-of-a-circle-is-given-by-27566582026-04-22T19:22:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-terms-in-the-list-is-59719142026-03-15T09:00:55+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-each-branch-regardless-of-the-number-of-diodes-must-provide-exactly-25-volts-72830572026-04-24T16:15:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-each-branch-experiences-25-volts-and-any-one-valid-grouping-eg-6-branches-of-6-diodes-each-worksnumber-of-branches-is-not-uniquely-determined-by-voltage-only-by-design-but-to-satisfy-each-branch-has-same-number-36-must-be-divisible-by-the-number-of-branches-2874362026-04-24T16:15:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-each-branch-operates-at-25-volts-number-of-branches-is-a-divisor-of-36-99862492026-04-24T16:15:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-6-branches-are-required-example-valid-grouping-14588892026-04-24T16:15:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-flower-receives-pollen-without-pollination-in-this-context-57239642026-03-15T09:02:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-all-378-flowers-are-pollinated-so-none-are-visited-without-pollination-52328972026-03-15T09:02:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-points-of-intersection-are-at--x---2-0-2--17011222026-03-15T09:03:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-youd-never-remove-apps-heres-the-shocking-way-to-undownload-them-now-8894392026-04-22T19:26:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-factored-form-of-the-expression-is-71026322026-04-22T19:28:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-value-of--ht--is-38297172026-04-22T19:28:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-perimeter-of-the-square-garden-is-89319772026-04-22T19:28:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-such-action-but-question-implies-there-is-46879152026-03-15T09:10:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-such-action-but-question-assumes-it-exists-so-perhaps-the-only-way-is-to-compute-the-required-stabilizer-size-assuming-transitivity-even-if-invalid-but-then-answer-not-integer-98532982026-03-15T09:10:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-contradiction-but-in-multiple-choice-perhaps-the-closest-is-not-valid-992852026-03-15T09:10:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-two-digit-number-one-more-than-a-multiple-of-17-is-88323572026-04-22T19:33:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--p3--29---43--5--18---12--5--11--64291752026-03-15T09:14:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--v4--116--34--1--16--12--1--29--93048162026-03-15T09:14:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-two-stations-record-the-same-activity-level-while-the-third-differs-is-27995052026-04-22T19:37:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-three-letters-are-the-same-and-the-other-two-are-different-is-50633112026-04-22T19:37:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-resolution-is-that-80-of-28-is-interpreted-as-224-but-since-documents-are-whole-perhaps-the-total-is-wrong-but-no-84703062026-03-15T09:16:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-given-functional-equation-becomes-91201442026-04-24T16:18:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-the-company-ceased-major-production-by-the-late-1990s-its-products-remain-collectors-items-and-are-celebrated-in-vintage-computing-circles-for-their-role-in-educational-outreach-during-a-pivotal-technological-transition-period-5501952026-04-22T19:39:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remaining-volume-of-the-buoy-is-35710872026-04-24T16:19:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-largest-circular-joint-that-can-fit-inside-the-triangle-is-13231962026-04-24T16:19:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-group-size-that-can-evenly-divide-both-compasses-and-protractors-is-12-37626022026-04-24T16:19:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-both-algorithms-will-complete-a-cycle-simultaneously-every-72-seconds-99888142026-04-24T16:19:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-1008-is-the-smallest-four-digit-number-divisible-by-both-8-and-9-79777032026-04-22T19:47:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-integer-that-always-divides-the-product-of-any-four-consecutive-integers-is-24-22846912026-04-22T19:47:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-away-your-standard-searchheres-why-immoscout24-is-your-best-compound-hack-40412672026-04-24T16:22:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-both-geologists-are-selected-is-91577962026-04-22T19:53:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-whole-numbers-in-the-interval-is-30956002026-04-22T19:55:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-hypotenuse-is-17-cm-35531832026-04-22T19:57:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-distribution-must-satisfy-x--15x--215x--120-38519492026-03-15T09:36:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-exact-cost-of-one-pack-of-pens-is-55837672026-04-24T16:26:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-cost-of-one-pack-of-pens-is-13363152026-04-22T20:11:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-speed-of-light-in-water-is-75-of-its-speed-in-a-vacuum-57124702026-04-22T20:15:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-original-triangle-is-47720172026-04-24T16:28:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-polynomial--hx--is-simply-90137352026-04-22T20:25:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-ways-to-distribute-the-grants-is-69482072026-04-22T20:25:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-height-is-12-meters-regardless-of-volume-change-because-shape-is-preserved-78143372026-04-22T20:28:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-center-lies-exactly-5-units-from-the-origin-since-the-circle-has-radius-5-the-closest-point-on-the-circle-to-the-origin-lies-along-the-line-connecting-the-origin-and-the-center-and-is-5-units-from-the-center-in-the-direction-toward-the-origin-therefore-the-minimum-distance-from-the-origin-to-a-point-on-the-circle-is-61518572026-04-22T20:31:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thursday-stock-market-alert-is-it-actually-open-this-thanksgiving-day-uncover-the-truth-67626382026-04-22T20:32:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-is---5--occurring-at--x--2--73625862026-04-24T16:31:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-out-default-settings-learn-the-iso-win-11-trick-that-users-cant-stop-using-75808842026-04-24T16:31:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-landmarks-should-be-288-cm-apart-on-the-map-11826512026-03-15T10:15:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-is-achieved-and-equals-1-61705772026-04-22T20:41:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thurtle-played-for-kwazulu-natal-inland-in-prawex-portal-challenge-in-2012-and-for-northerns-again-in-mzilikazi-challenge-since-2014-39634212026-04-22T20:49:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thurtle-was-appointed-captain-of-the-namibian-team-in-october-2022-succeeding-andrew-adams-ahead-of-the-2023-cricket-world-cup-qualifiers-44418522026-04-22T20:49:05+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-favorable-selections-is-53407182026-04-22T20:50:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunder-source-java-se-platform-binarylimitless-development-possible-33755172026-03-15T10:30:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thoughtful-java-string-formatting-guide-get-perfect-output-in-seconds-71271362026-04-24T16:36:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-12-months-after-january-2025-is-january-2026-7707412026-04-22T20:57:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-perimeter-of-the-hexagon-is-20025072026-03-15T10:38:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-a-single-die-shows-a-number--5-is-29610882026-04-22T21:01:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-new-average-monthly-emissions-in-2024-is-18574242026-04-22T21:07:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-domain-is-all-real-numbers-40973602026-03-15T10:52:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-the-ultimate-party-at-kiddopia--heres-how-your-child-will-be-amazed-45580052026-04-22T21:16:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-3-families-adopt-the-technique-is-46287272026-04-22T21:17:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-a-user-actually-clicked-given-a-positive-prediction-is-97185562026-04-22T21:17:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-true-positives--5000---100--4900-45475432026-04-22T21:18:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-modest-in-size-compared-to-european-counterparts-the-barra-fort-exemplifies-adaptive-military-engineering-in-a-challenging-coastal-environment-its-preservation-offers-valuable-insight-into-early-modern-defensive-systems-in-south-america-highlighting-the-interplay-between-european-tactical-doctrine-and-local-environmental-and-strategic-demands-75358992026-03-15T11:12:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-of-selecting-at-least-one-defective-component-is-73533242026-04-22T21:37:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shortest-altitude-is-to-the-hypotenuse-and-measures-72-cm-52017112026-04-24T16:46:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--fx--x--2--is-a-solution-since-the-functional-equation-constrains-its-behavior-and-the-recurrence-propagates-uniquely-from--f1--3--the-solution-is-unique-under-mild-regularity-eg-continuity-implied-by-recursion-so--fx--x--2--for-all--x--21984722026-04-22T21:44:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-in-real-time-live-barn-feeds-interactions--animal-behavior-you-wont-believe-64231602026-04-24T16:47:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-first-overlapping-day-is-36-and-it-is-one-more-than-a-multiple-of-5-modeling-how-biological-rhythms-synchronize-at-structured-intervals-70387912026-04-24T16:48:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-diagonal-is-57432822026-04-22T21:51:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-clash-in-lorry-gamescan-you-beat-the-pro-71804542026-04-22T21:54:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-possible-area-of-the-triangle-is-60243612026-04-22T22:02:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-small-salong-tejuk-buana-encapsulates-a-convergence-of-spiritual-aspiration-colonial-era-material-culture-and-regional-syncretism-challenging-narratives-of-kelantans-predominantly-muslim-identity-by-preserving-a-distinctly-buddhist-architectural-lineage-88139092026-03-15T11:47:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-hypotenuse-is-17-km-and-the-area-of-the-triangle-is-60-square-kilometers-9957232026-04-22T22:07:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-shortest-altitude-is-72-m-26207072026-04-22T22:07:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-remainder-is--rx--11x---12--96517022026-03-15T11:51:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-seekers-love-marin-airporter--heres-why-its-a-must-try-now-13959372026-04-22T22:17:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/threshold-broken-maximum-employer-401k-contribution-could-double-your-retirement-future-42524242026-04-22T22:24:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-surjective-functions-is-95846032026-04-22T22:26:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-inclusion-exclusion-gives--40824--and-stirling-method-confirms-60188452026-04-22T22:27:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-no-integer-solution-but-problem-must-have-31496262026-04-24T16:56:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-new-total-with-damage--24--8--2483232-47135452026-04-22T22:29:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--a--1---b--1---c--1--so-84704222026-03-15T12:10:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-robot-will-complete-all-three-tasks-simultaneously-every-30-minutes-38725872026-03-15T12:23:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-boosting-upgrade-master-microsofts-basic-optical-mouse-double-click-easy-52274952026-04-22T22:52:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-1023-satisfies-both-conditions-49558682026-03-15T12:32:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-ratio-of-the-volume-of-the-tetrahedron-to-the-area-of-one-face-is-1625412026-03-15T12:34:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-the-system-remains-functional-is-approximately-2019922026-04-24T17:03:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-investor-can-create-360-different-ordered-meeting-schedules-72820542026-04-24T17:03:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-she-performs-17-spectral-analyses-over-the-240-day-period-98741582026-04-22T22:58:51+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probe-must-be-built-to-resist-at-least-113445-kpa-38084942026-04-22T22:58:51+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shift-is-twice-the-instruments-precision-79912832026-04-22T22:58:51+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-exoplanets-radius-is-approximately-6821-km-54783782026-04-22T22:58:51+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-3978-of-all-submitted-papers-are-accepted-after-revision-93268212026-04-24T17:04:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-ideal-mass--100-of-actual-mass-since-tag-is-32--1-22530282026-04-24T17:05:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-original-width-is-approximately-3-units-64945282026-03-15T12:49:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-favorable-permutations-is-76304322026-04-22T23:10:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--f-y--fy--so--f--is-even-53355222026-03-15T12:52:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-only-resolution-the-expression-is-correct-but-we-must-accept-67314572026-04-24T17:08:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-fictional-the-galactic-senate-reflects-themes-of-diplomacy-representation-and-shared-responsibilitymirroring-real-world-legislative-bodies-its-inclusion-in-stories-underscores-the-marvel-universes-exploration-of-cosmic-scale-governance-and-the-ongoing-struggle-to-balance-interests-across-countless-species-33311022026-04-24T17:08:36+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-number-of-such-rectangles-is-69550752026-04-22T23:21:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-entire-grid-can-be-covered-by-7-blocks-of-area-7-53594702026-04-22T23:21:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-all-three-request-times-fall-between-120-ms-and-180-ms-is-55261622026-04-22T23:22:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-no-direct-string-analysts-recognize-this-virus-through-79313812026-03-15T13:02:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-synergy-reduces-individual-effect-but-not-joint-probability-98483072026-03-15T13:05:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-fraction-is-already-simplified-7363902026-04-22T23:29:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-greatest-common-factor-is-34-59114412026-04-22T23:32:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expression-simplifies-to-a-constant-value-97972212026-04-22T23:32:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-sum-of-the-distinct-prime-factors-is-15-37752142026-04-22T23:41:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-least-common-multiple-is-72-seconds-38428152026-04-22T23:41:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-both-systems-will-align-again-after-48-days-34141662026-04-22T23:41:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-average-length-is-70-feet-22230292026-04-22T23:41:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-least-common-multiple-is-45-nanoseconds-51532662026-04-22T23:41:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-both-studies-coincide-every-84-days-289372026-04-22T23:41:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-focusing-on-direct-computation-23201952026-04-22T23:43:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrill-seekers-unical-10x-faster-mp4-converter-that-wows-95002602026-04-22T23:51:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-efficiency-first-reaches-60-after-6-hours-77423542026-04-22T23:54:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-it-takes-approximately-231-months-for-the-population-to-double-26147262026-04-22T23:55:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-birds-tracked-after-4-weeks-is-88153002026-04-22T23:55:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-this-ms-azure-student-was-just-a-regular-studentnow-shes-fluent-in-cloud-clouds-59200842026-04-22T23:55:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-angular-frequency-and-the-period-are-82250872026-04-22T23:56:21+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-estimated-total-bee-population-is-600-53456382026-03-15T13:36:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-secondary-winding-has-120-turns-19922742026-03-15T13:37:00+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-approximately-50-successful-startups-are-expected-59285832026-03-15T13:37:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-of-the-original-expression-is-54542932026-04-23T00:00:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-fired-overnight-msft-layoff-explosive-scandal-exposed-33190262026-03-15T13:39:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-minimal-guaranteed-divisor-is-66330002026-04-24T17:18:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-favorable-outcomes-at-10887422026-04-24T17:18:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radius-of-the-melt-pool-is-90859362026-04-24T17:18:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-approximately-875-birds-remain-after-3-days-26444882026-04-24T17:18:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-radial-distance-varies-between-1-and-3-so-the-maximum-radial-distance-is-3-56751012026-04-23T00:04:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-complex-number-representing-the-buttons-position-is-56604282026-04-23T00:04:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-average-weight-is-55-kilograms-80743032026-04-23T00:08:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-greatest-common-factor-is-12-96211782026-04-23T00:08:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-distinct-seating-arrangements-is-the-product-of-these-two-32861752026-04-23T00:10:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-distinct-seating-arrangements-with-alice-and-bob-sitting-next-to-each-other-is-22641042026-04-23T00:10:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-valid-configurations-is-59651122026-04-23T00:10:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-full-set-of-integer-solutions-includes-10202542026-04-24T17:23:04+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-infimum-is-2-but-it-is-never-attained-for-positive--x-y--with--x-27855352026-04-23T00:21:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-for-fixed--y--minimum-as--y-o-0---a-o-2--3744582026-04-23T00:21:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-possible-values-for-h-are-59807772026-04-23T00:32:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-3-element-subsets-containing-x-and-at-least-one-of-a-or-b-is-1823132026-04-24T17:27:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-condition--2b--a--c--is-equivalent-to--c---b--b---a--ie-the-gap-from--b--to--c--is-larger-than-to--a--33651732026-04-24T17:27:39+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-number-of-favorable-outcomes-4-89080772026-04-23T00:35:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-after-exhaustive-analysis-the-answer-is-impossible-99331242026-04-24T17:30:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-title-must-reflect-mathematical-impossibility-85994482026-04-24T17:30:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-store-c-gives-the-lower-final-price-at-115-36183332026-04-24T17:30:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-number-of-units-is-30-29777132026-04-23T00:51:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expression-simplifies-directly-to-2-99299882026-03-15T14:29:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-rectangle-is-a-square-with-side-18-the-maximum-area-is-19884682026-04-24T17:33:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-much-fun50-no-download-games-you-can-play-fast-begin-playing-right-now-58921872026-04-23T00:55:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-positive-integer-is-1-88520662026-04-23T01:04:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--dn--0--when--n--1-2-3--85396772026-04-23T01:05:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-got-approvedheres-how-you-can-get-your-npi-number-application-today-12979152026-03-15T14:41:49+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-active-users-is-maximized-3-hours-after-600-am-which-is-at-900-am-28172452026-04-23T01:06:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-starting-on-sunday-engagement-is-below-30-95488652026-04-24T17:37:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-consumption-is-1944-of-a-full-battery-meaning-it-requires-more-than-one-full-charge-however-total-consumed-is-1944-57231332026-04-24T17:40:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-such-squares-is-68190362026-04-23T01:21:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-region-enclosed-by-the-boundary-is-a-diamond-of-area-72-square-kilometers-19370842026-04-23T01:22:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-bob-sent-his-message-before-130-pm-given-that-alice-sent-after-him-is--46572102026-04-24T17:42:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-2-of-the-selected-stations-are-from-the-specific-region-is-6232032026-04-23T01:25:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-3-of-the-selected-words-are-archaic-is-10312782026-04-23T01:25:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-at-least-2-of-the-selected-districts-are-high-resilience-is-7131162026-04-24T17:42:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-2-features-remain-in-their-original-positions-is-9623662026-04-24T17:42:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-altitude-to-the-longest-side-is--112--km-since-this-is-the-altitude-to-the-longest-side-and-the-other-altitudes-to-shorter-sides-would-be-longer-as-area-is-fixed-this-is-the-shortest-altitude-36192172026-04-24T17:42:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-modified-maize-produces-10-tons-per-hectare-under-drought-conditions-33263872026-03-15T15:04:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-horizontal-distance-the-robot-arm-travels-is-55164032026-04-23T01:28:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-distinct-arrangements-is-given-by-92025002026-03-15T15:10:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwback-the-worst--best-old-versions-of-java-you-need-to-see-23759122026-04-24T17:45:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-intersection-of-c-g-q-is-same-as-intersection-of-c-and-q-and-q--q-37131842026-04-23T01:36:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-speed-from-city-a-to-city-b-is-approximately-6568-mph-6365652026-04-24T17:45:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-dimensions-are-width--8-units-and-length--24-units-33332582026-04-24T17:45:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-final-answer-in-terms-of-given-variables-is-72623382026-04-24T17:46:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shape-described-by-the-given-equation-is-a-sphere-of-radius-1-centered-at-1-0-0-50628492026-04-23T01:42:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-new-area-in-terms-of--r--is-77236902026-04-23T01:43:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-fracture-a-is-selected-is-44833022026-04-23T01:43:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-both-b-and-s-are-selected-is-45212932026-04-23T01:43:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-4-foxes-stay-to-guard-the-den-is-19946452026-04-23T01:45:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-the-two-users-share-either-the-same-module-or-the-same-difficulty-but-not-both-is-26451952026-04-23T01:45:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-at-least-one-of-the-selected-energy-sources-is-fusion-based-is-52964322026-04-23T01:45:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-you-need-cash-play-online-for-free-and-win-bigheres-how-9940972026-04-24T17:48:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-after-9-months-the-seagrass-will-cover-8-square-meters-31990332026-04-23T01:48:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-scientist-needs-20-unique-experimental-setups-94504442026-04-23T01:49:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-problem-has-no-solution-under-the-given-constraints-36540812026-04-23T01:51:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-the-high-strength-mixture-is-selected-is-30208972026-04-23T01:52:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-the-specific-trial-is-selected-is-52958302026-04-23T01:52:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-the-composite-material-is-selected-is-33670692026-04-23T01:52:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-the-impactful-study-is-selected-is-4543692026-04-23T01:52:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-possible-two-digit-integers-are-60096422026-04-23T01:54:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-she-can-form-75-identical-fossil-sample-sets-46589572026-04-24T17:50:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-maximum-number-of-zones-per-type-is-480-13056492026-04-24T17:50:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-in-math-olympiad-they-expect-the-formula-69567312026-03-15T15:34:16+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-fully-factored-expression-is-18782072026-04-24T17:50:56+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-hamiltonian-cycles-is-45763722026-04-23T01:58:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-only-digits-12345-can-be-used-80348232026-04-23T01:59:26+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-mathematically-it-never-drops-below-200-81974632026-04-23T02:01:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-rate-of-change-is-never-zero-55267442026-04-23T02:16:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-quadratic-residues-modulo-11-are-80727412026-04-24T17:56:32+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-smallest-such-n-is-15-80085602026-04-23T02:21:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-polynomial-part-of--fx--is--x--and-the-remainder-when--x--is-divided-by--x---2--is-87243212026-03-15T15:59:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-instantaneous-rate-of-change-of-the-population-at--t--2--is-93310662026-03-15T15:59:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-the-microbe-survives-at-least-one-of-the-three-conditions-is-36983402026-04-24T17:58:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-4-theories-support-the-framework-is-7044812026-04-24T17:58:35+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-that-exactly-3-colonies-exist-after-3-hours-is-15842782026-04-24T17:58:34+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-display-sequences-is-27720-63520102026-04-23T02:24:50+00:00dail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:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-of-the-uncovered-part-of-the-petri-dish-is-14496952026-03-15T17:34:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-change-in-the-water-level-is-approximately-40816832026-04-24T18:27:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-integer-values-of--n--are---1-0-2-3--which-are-4-values-44421992026-04-23T03:58:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-number-of-triples-with-product-divisible-by-4-57379312026-04-23T04:08:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-200-outcomes-have-sum-divisible-by-5-84320152026-04-23T04:08:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-you-lost-your-file-heres-how-to-recover-a-password-protected-word-doc-fast-19132872026-04-24T18:30:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-signal-repeats-every-360-milliseconds-89380292026-03-15T17:47:55+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-both-groups-will-spread-simultaneously-after-15528402026-03-15T17:56:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/throughout-his-career-arrillaga-has-received-multiple-honors-for-entrepreneurship-industrial-innovation-and-corporate-social-responsibility-he-is-considered-a-thought-leader-in-advancing-green-industrialism-and-digital-transformation-in-latin-america-frequently-participating-in-regional-forums-and-industry-councils-shaping-policy-and-business-standards-65234422026-03-15T17:56:25+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-after-5-full-days-infections-exceed-half-the-population-71694252026-04-24T18:35:23+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-only-possibility-the-middle-angle-is-not-75-but-the-problem-says-it-is-68405102026-04-23T04:26:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-minimum-value-of-fx-is-90543792026-03-15T18:02:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-number-of-plants-that-can-be-measured-is-38038302026-04-23T04:29:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-number-of-user-profiles-that-can-be-processed-in-one-test-run-is-33197592026-04-23T04:29:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-number-of-simulations-that-can-run-simultaneously-is-9522492026-04-23T04:29:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-number-of-data-entries-that-can-be-processed-is-82050502026-04-23T04:29:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-system-can-run-a-maximum-of-69358392026-04-23T04:29:11+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-enclosed-by-the-spiral-is-56513082026-04-24T18:37:08+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-for-the-original-equation-to-be-valid-we-must-have--y--0--and-the-expression--83113352026-04-23T04:38:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-average-age-of-the-primates-is-66713162026-04-23T04:42:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-area-increases-by-approximately-3078-square-centimeters-45519762026-04-24T18:41:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-shortest-altitude-is-approximately-66455032026-04-23T04:52:28+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-away-wasted-timeimplement-this-smart-resource-scheduler-today-16872042026-03-15T18:29:12+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-back-to-classic-favorites-the-retro-golf-games-making-headlines-in-2024-17084582026-04-23T04:59:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-her-total-distance-over-the-five-days-is-60--35--60359595-kilometers-67173112026-04-23T05:13:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-combinations-is-equal-to-the-number-of-ways-to-choose-3-neural-templates-from-6-with-order-not-mattering-set-selection-32819632026-04-23T05:14:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expression-is-unbounded-above-16116232026-04-23T05:21:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-population-reaches-its-maximum-at--t--1--65234612026-04-23T05:24:52+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrilling-stock-surge-discover-why-sabre-corp-shares-are-off-the-charts-today-14036172026-04-23T05:28:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-maximum-and-minimum-temperatures-are-98085392026-03-15T19:04:38+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-ranking-orders-the-judge-can-observe-is-99777872026-03-15T19:04:40+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-number-of-distinct-ribbon-distributions-is-66210102026-03-15T19:04:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-far-unseen-the-latest-salesforce-agentforce-news-messages-that-are-taking-over-the-market-7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f-batches-is-480-66097392026-04-23T08:15:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thostock-unleashed-you-wont-believe-what-this-warehouse-has-in-store-for-you-96220502026-04-23T08:20:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thostock-secrets-youre-missingis-your-purchase-about-to-transform-70788592026-04-23T08:20:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thostock-horror-what-this-hidden-warehouse-is-selling-could-shock-you-55722712026-04-23T08:20:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thostock-exploded-inside-the-because-you-wont-look-log-off-deals-16547092026-04-23T08:20:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thread-death-the-silent-killer-of-your-knitting-projects-that-you-cant-ignore-15261982026-04-23T08:20:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thread-death-explainedwhy-your-knitting-projects-fall-apart-fast-6585822026-04-23T08:20:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thread-java-secrets-fix-your-apps-performance-fastclick-to-learn-76046752026-04-23T08:20:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thread-java-demystified-the-ultimate-shortcut-for-better-code-performance-73834232026-04-23T08:20:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-online-tasks-into-overdrive-the-secret-of-thread-pool-executor-you-cant-ignore-39117242026-04-23T08:20:54+00:00daily0.8https://docs.decisionpoint.org/spotlight/thread-pool-executor-unleashed-how-its-revolutionizing-web-task-handling-today-92180112026-04-23T08:20:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thread-safe-guaranteed-heres-why-every-engineer-needs-this-critical-trait-18153942026-04-23T08:21:01+00:00daily0.8https://docs.decisionpoint.org/spotlight/thread-safety-explained-does-your-gear-actually-withstand-metal-on-metal-stress-98111942026-04-23T08:21:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thread-safe-or-dangerous-this-five-second-test-will-seal-the-deal-51015172026-04-23T08:21:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/thread-safe-supercharges-performanceheres-what-no-one-tells-you-50944432026-04-23T08:21:53+00:00daily0.8https://docs.decisionpoint.org/spotlight/threadlocal-secrets-exposed-how-this-innovation-is-revolutionizing-data-processing-38336612026-04-23T08:21:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/threadlocal-the-hidden-power-behind-faster-safer-appswatch-how-it-works-34954952026-04-23T08:21:10+00:00daily0.8https://docs.decisionpoint.org/spotlight/threadpoolexecutor-exposed-the-extreme-playbook-thats-blowing-up-online-82246382026-04-23T08:21:57+00:00daily0.8https://docs.decisionpoint.org/spotlight/three-games-that-will-change-your-gaming-routine-forever-71339452026-04-23T08:21:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrillshared-like-never-before-watch-now-to-feel-every-adrenaline-rush-9378762026-04-23T08:21:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/throne-wishlist-unlocked-the-hottest-wish-list-elements-everyone-craves-20103522026-04-23T08:21:58+00:00daily0.8https://docs.decisionpoint.org/spotlight/thronglets-explained-the-hidden-power-behind-viral-trends-you-cant-miss-72423072026-04-23T08:21:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/through-bible-the-life-changing-discovery-every-christian-needs-to-know-8269052026-04-23T08:21:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/through-the-wall-the-groundbreaking-journey-no-one-expectedwatch-here-57485572026-04-23T08:21:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwing-a-turtle-the-mysterious-chain-reaction-that-shook-the-neighborhood-2748182026-04-23T08:21:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwable-exception-in-java-this-trick-fixes-errors-before-they-ruin-your-app-13540232026-04-23T08:21:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbtack-mobile-app-the-ultimate-tool-that-saves-you-time--moneydownload-now-52523562026-04-24T19:33:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbtack-mobile-app-review-the-app-youve-been-waiting-for-to-get-jobs-done-faster-20367382026-04-24T19:33:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbzil-unleashed-you-wont-believe-what-this-tiny-gadget-can-do-56335022026-04-24T19:33:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbzil-secrets-how-its-changing-lives-watch-inside-60301462026-04-24T19:33:30+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbzil-may-shock-you-the-mind-blowing-features-you-need-to-try-now-85776132026-03-15T22:04:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbzilla-unleashed-this-incredible-design-shocks-every-artist-online-52525442026-03-15T22:04:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbzilla-blitz-the-games-glitches-and-glory-that-redefine-your-pencil-frenzy-30841452026-03-15T22:04:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbzilla-hacks-how-this-iconic-draw-transforms-artists-forever-259342026-03-15T22:04:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbzila-explained-the-ultimate-skill-that-boosts-your-finger-grace-overnight-4733362026-03-15T22:04:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumzila-the-hidden-secret-behind-why-everyones-obsessed-11416032026-03-15T22:04:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumzila-exposes-the-shocking-truth-about-this-unstoppable-trend-10396042026-03-15T22:04:45+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumzila-clickbait-moment-why-this-clip-trended-across-the-internet-31093392026-03-15T22:04:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderdogs-unleashed-the-strangest-dog-breed-thatll-shock-you-20861112026-03-15T22:04:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderdogs-the-secret-canine-power-you-need-to-know-about-15407702026-03-15T22:04:46+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunderdogs-exposed-the-wild-truth-behind-this-unstoppable-breed-86567282026-03-15T22:04:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunder-vpn-for-pc-the-ultimate-hack-to-speed-up-browsing-and-stay-anonymous-74801892026-03-15T22:04:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunder-vpn-for-pc-no-more-banner-blocksthunder-vpn-pro-now-proves-its-worth-it-97152272026-03-15T22:04:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunder-vpn-for-pc-revealedfinally-access-global-content-faster--safer-60447842026-03-15T22:04:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunkable-success-why-this-app-secret-will-transform-your-mobile-development-1807772026-03-15T22:04:48+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunkable-the-game-changer-everyones-talking-about-in-web--mobile-development-7675702026-03-15T22:04:50+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunkable-secret-create-full-featured-apps-without-coding-knowledge-99596162026-03-15T22:04:51+00:00daily0.8https://docs.decisionpoint.org/spotlight/those-pages-revealed-secrets-no-one-told-you-about-8001262026-04-23T08:23:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/threads-java-hack-make-your-apps-run-faster-with-these-simple-secrets-19546122026-04-23T08:23:07+00:00daily0.8https://docs.decisionpoint.org/spotlight/three-players-onlywatch-the-chaos-unfold-making-millions-click-61514612026-04-24T19:34:03+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrillzz-alert-get-ready-to-experience-the-most-life-changing-excitement-ever-77222192026-04-23T08:23:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/throw-this-simple-trick-to-master-java-exception-handlingyou-wont-believe-how-easy-it-is-99627212026-04-23T08:23:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwing-java-exceptions-the-secret-shortcut-to-robust-error-handling-you-53863102026-04-23T08:23:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumb-drive-mysteriously-missing-this-shocking-fix-could-save-your-files-35491662026-04-23T08:23:27+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumb-drive-vanished-five-deadly-cybersecurity-threats-you-need-to-know-20698842026-04-23T08:23:37+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwable-more-like-game-changing--discover-the-must-have-item-festival-is-baseaning-now-16002632026-04-23T08:23:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/throwable-or-not-this-tiny-prop-is-liading-backorders-every-day--claim-one-before-its-gone-92365992026-04-23T08:23:41+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbtack-reviews-the-secret-weapon-for-finding-the-best-local-prosshocking-results-inside-21874362026-04-23T08:23:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumbtack-reviews-the-ultimate-guide-to-choosing-the-best-local-helpersdont-skip-these-56988592026-04-23T08:23:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/three-player-games-that-are-revolutionizing-multiplayer-playdont-miss-out-30431542026-04-23T08:23:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumzilla-unleashed-the-shocking-truth-behind-the-internets-favorite-thumball-sensation-83062692026-04-23T08:23:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumzilla-madness-the-viral-thumball-thats-changing-tiktok-get-filtered-right-here-56913522026-04-23T08:23:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thunder-vpn-like-a-pro-discover-the-secret-52723962026-04-23T08:23:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thronefall-secrets-exposed-what-this-epic-game-hides-inside-every-stone-57529092026-04-23T08:23:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thronefall-watchers-are-splitting-you-wont-believe-these-hidden-features-you-missed-29818222026-04-23T08:23:42+00:00daily0.8https://docs.decisionpoint.org/spotlight/thronefall-the-unforgettable-journey-where-every-throne-hides-a-shocking-twist-7690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angle-is--93112682026-04-23T09:29:59+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-arrangements-is-given-by-78269462026-04-23T09:41:15+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-total-number-of-distinct-seating-arrangements-is-41826572026-04-24T19:54:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-of-hot-free-online-games-availablestart-playing-today-74385362026-04-23T09:47:09+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-only-possible-functions-are--fx--0--and--fx--x--86484632026-04-24T19:56:19+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-waitingget-your-visa-purchase-alert-now-before-spots-vanish-forever-80497122026-04-23T09:49:43+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-only-case-1-yields-an-even-sum-89148792026-03-15T23:35:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/though-precise-casualty-figures-are-absent-in-contemporary-sources-the-event-underscores-early-9th-century-christian-strategiescombining-military-action-with-religious-symbolism-to-legitimize-territorial-expansion-archaeological-evidence-from-regional-sites-supports-medieval-accounts-of-intensified-conflict-and-fortification-efforts-in-the-post-battle-period-48748342026-04-23T09:53:44+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-after-3-weeks-accuracy-exceeds-60-62697252026-04-23T10:01:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/three-engineers-design-a-modular-space-habitat-engineer-a-earns-90-per-hour-engineer-b-earns-110-per-hour-and-engineer-c-earns-130-per-hour-if-they-work-a-combined-total-of-160-hours-and-the-total-pay-is-18400-and-engineer-b-worked-twice-as-many-hours-as-engineer-a-how-many-hours-did-engineer-c-work-71448152026-04-23T10:01:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thought-it-was-externaldiscover-how-what-you-behold-shapes-your-very-being-87678122026-04-23T10:11:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thrive-with-covered-calls-unlock-hidden-profits-in-your-stock-trading-strategy-89534422026-04-23T10:18:47+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-live-below-the-us-poverty-linethe-raw-numbers-you-need-to-know-85963212026-04-23T10:37:20+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-largest-and-only-value-is-13673572026-04-23T10:46:31+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-living-below-the-us-poverty-linewhat-the-numbers-actually-reveal-70482712026-04-23T10:49:06+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-for-nonzero--a--contradiction-unless--a--0--implying--b--is-arbitrary-but-if-we-assume-the-identity-holds-for-all--a--then-the-only-way-is--1--3--which-is-false-14454712026-04-23T11:10:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus--b--is-not-uniquely-determined-but-if-we-must-give-a-value-the-only-consistent-interpretation-is-that-the-equation-forces--a--0--and--b--remains-free-12138472026-04-23T11:10:33+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-probability-for-any-specific-configuration-where-two-turbines-output-2-units-and-the-third-outputs-either-1-or-3-is-88889202026-04-23T11:11:13+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-25-squares-are-needed-and-they-fit-perfectly-97760822026-04-23T11:11:18+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-population-reaches-half-the-carrying-capacity-at-approximately-40378832026-04-24T20:19:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thumb-drive-secrets-for-windows-11-boost-speed--security-like-never-before-53818802026-04-23T11:18:29+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-13-sequences-of-length-5-have-no-two-consecutive-1s-93370732026-04-23T11:20:55+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-sequences-containing-all-three-types-62061802026-04-24T20:20:22+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-coordinates-of-the-fourth-vertex--d--are-97892872026-04-23T11:34:17+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-expected-number-of-red-cells-in-a-randomly-selected-row-is-23203062026-04-24T20:24:02+00:00daily0.8https://docs.decisionpoint.org/spotlight/thousands-are-splurging-at-www401kcom-login--dont-miss-out-on-your-future-51115542026-04-24T20:28:14+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-dimensions-of-the-field-are-85265902026-04-23T11:51:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-length-of-the-hypotenuse-is-7349562026-04-23T11:51:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/three-fair-6-sided-dice-are-rolled-what-is-the-probability-that-exactly-two-dice-show-the-same-number-and-the-third-shows-a-different-number-69102612026-04-23T11:51:24+00:00daily0.8https://docs.decisionpoint.org/spotlight/thus-the-solutions-in-the-interval-are-46829662026-04-23T11:54:41+00:00daily0.8https://docs.decisionpoint.org/sp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