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📰 Question: An entomologist studying pollination patterns models the number of flowers visited by bees as $ f(t) = -5t^2 + 30t + 100 $. What is the maximum number of flowers the bees visit in a day? 📰 Solution: The function $ f(t) = -5t^2 + 30t + 100 $ is a quadratic opening downward. The vertex occurs at $ t = \frac{-b}{2a} = \frac{-30}{2(-5)} = 3 $. Substituting $ t = 3 $, $ f(3) = -5(9) + 30(3) + 100 = -45 + 90 + 100 = 145 $. The maximum number of flowers visited is $\boxed{145}$. 📰 Question: A robotics engineer designs a robot whose path follows the hyperbola $ 9x^2 - 36x - 4y^2 + 24y = 36 $. Find the center of the hyperbola. 📰 This Obsessed Craftsman Notched A Game Changer You Must Own Now 995915 📰 Credit Cards With Global Entry 6855909 📰 Ground Venison Meal The Ultimate Protein Boost You Never Knew You Needed 8414069 📰 How Your Outlook Signature Could Be Boosting Your Credibility Without You Knowing 5475622 📰 5 Truth Or Drink Questions That Got People Talking You Wont Believe Any 1621842 📰 Zoe Bell 6599406 📰 5Les Netsuite Inventory Management Hidden Feature That Boosts Efficiency By 80 8888363 📰 Massive Attachments Locked Outheres The Email Size Limit You Cant Afford To Break 1281558 📰 How Your Metro Login Could Unlock More Than Just Tickets 1976644 📰 Get The Shop Coach Gold Bracelet Watch Before Its Goneexclusive Style Alert 7722646 📰 Can This Simple Timeline Template Word Transform Your Projects Discover Now 6885084 📰 Booming Cengage Stock How This Education Giant Built Its Way To Billion Dollar Valuation 3324628 📰 Unlock Endless Fun Free Internet Games Online You Can Play Instantly 2503049 📰 Click That Delight Appletun Surprisingly Transforms Your Iphone Experience 3307182 📰 Add 10 Liters Of Water To The Solution 8587529