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Home » Thus, the average power output is $\boxed4x + 4$. - Decision Point

Thus, the average power output is $\boxed4x + 4$. - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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Solution: We are given the equation in spherical coordinates:
Recall the conversion formulas from spherical to Cartesian coordinates...
Next, find $ xy $ using the identity:
Solution: We solve the absolute value equation:
The two solutions are $ x = 8 $ and $ x = -3 $. The largest value is:

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Let boys = 5x, girls = 7x.
After changes: (5x - 4) / (7x + 2) = 1 / 2.
Cross-multiplying: 2(5x - 4) = 7x + 2 → 10x - 8 = 7x + 2 → 3x = 10 → x...
But x must be integer — recheck:
2(5x - 4) = 7x + 2 → 10x - 8 = 7x + 2 → 3x = 10 → x = 10/3 — invalid.
Wait — try solving again:
2(5x - 4) = 7x + 2 → 10x - 8 = 7x + 2 → 3x = 10 → x = 10/3 → not integ...
Wait — perhaps misstep. Try specific values.
No integer solution? But problem implies one.
Wait — try solving correctly:

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