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Home » 5: How Elephants Feed: The Daily Menu That’s Full of Surprises! - Sterling Industries

5: How Elephants Feed: The Daily Menu That’s Full of Surprises! - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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🔥 Popular Posts

Moviebox
The area of the visual sector is $ \boxed{24\pi} $ m².Question: A biol...
We are given that the clutch size $ n $ satisfies:
n \equiv 1 \pmod{7} \quad \text{and} \quad n \equiv 1 \pmod{11}
This implies:
n - 1 \equiv 0 \pmod{7} \quad \text{and} \quad n - 1 \equiv 0 \pmod{11...
So $ n - 1 $ is a common multiple of 7 and 11. Since 7 and 11 are copr...
\text{lcm}(7, 11) = 7 \cdot 11 = 77
Thus, $ n - 1 = 77k $ for some integer $ k $, and:
n = 77k + 1
We are to find the smallest such $ n > 50 $. Try $ k = 1 $:

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\log\left(b + rac{1}{b}
ight) \geq \log(2),
with equality when $ b = 1 $, i.e., $ y = z $.
Thus, the minimum value of the entire expression is
- \log(2).
This value is achievable when $ x = y = z $, so the minimum is
oxed{3 - \log 2}.
Question: Find the remainder when $ (x^2 + 1)^{2025} + 1 $ is divided...
Let $ f(x) = (x^2 + 1)^{2025} + 1 $, and we are to find the remainder...
Let $ d(x) = x^4 + x^2 + 1 $. Note that

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