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Home » You Won’t Believe How Escoffier from Genshin Flowed Into the Next Legendary Moment! - Abbey Badges

You Won’t Believe How Escoffier from Genshin Flowed Into the Next Legendary Moment! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Simplifiez pour obtenir : \( \Pi(p) = 100p - 2p^2 - (5200 - 100p) = 100p - 2p^2 - 5200 + 100p \).

📌 Combine les termes : \( \Pi(p) = -2p^2 + 200p - 5200 \).

📌 Pour trouver le maximum, prenez la dÃ©rivÃ©e : \( rac{d\Pi}{dp} = -4p + 200 \).

📌 DÃ©finissez la dÃ©rivÃ©e Ã zÃ©ro : \(-4p + 200 = 0 \Rightarrow p = 50 \).

📌 Le prix optimal est \( p = 50 \).

📌 #### \( p = 50 \)

📌 Un projet d'Ã©nergie renouvelable nÃ©cessite une frontiÃ¨re rectangulaire avec un pÃ©rimÃ¨tre fixe de 200 mÃ¨tres. La longueur doit Ãªtre le double de la largeur. Quels sont les dimensions qui maximisent la superficie de la frontiÃ¨re ?

📌 Soit la largeur \( w \) et la longueur \( 2w \).

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Solution: To find the average length, we add the two lengths and divid...
\frac{3.75 + 8.25}{2} = \frac{12}{2} = 6
Thus, the average length is $ \boxed{6} $
Question: How many positive 4-digit numbers are divisible by 11?
Solution: The smallest 4-digit number is 1000, and the largest is 9999...
We find the smallest 4-digit number divisible by 11 by dividing 1000 b...
\left\lceil \frac{1000}{11} \right\rceil = \left\lceil 90.91 \right\rc...
So the smallest 4-digit number divisible by 11 is $ 11 \times 91 = 100...
Now, divide 9999 by 11 to find the largest:
\left\lfloor \frac{9999}{11} \right\rfloor = \left\lfloor 909 \right\r...

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