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Home » Step Into Heat: The Sexiest Movies You Can’t Miss Right Now! - Upplift

Step Into Heat: The Sexiest Movies You Can’t Miss Right Now! - Upplift

📅 March 2, 2026 👤 scraface

Mar 02, 2026

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📌 Now compute $ 48344 \mod 8 $. Since 1000 is divisible by 8, only the last three digits matter:

📌 \div 8 = 43 \text{ with remainder } 0

📌 Question: What is the sum of all positive divisors of $ 2^3 \cdot 3^2 $?

📌 Solution: The sum of the divisors of $ 2^3 \cdot 3^2 $ is given by:

📌 Thus, the sum of all positive divisors is $ \boxed{195} $.

📌 Question: What is the remainder when $ 7^5 + 7^6 $ is divided by 6?

📌 Solution: First, note that $ 7 \equiv 1 \mod 6 $, so $ 7^k \equiv 1^k = 1 \mod 6 $ for any positive integer $ k $.

📌 7^5 + 7^6 \equiv 1 + 1 = 2 \mod 6

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C''(x) = e^{-x}(-10x + 5x^2 + 10 - 10x) = e^{-x}(5x^2 - 20x + 10).
Evaluate \( C''(x) \) at the critical points:
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C''(2) = e^{-2}(5(2)^2 - 20(2) + 10) = e^{-2}(20 - 40 + 10) = e^{-2}(-...
Therefore, the concentration is maximized at \( x = 2 \).
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