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Home » Solving for \( x \) yields \( x = 8 \). - Network4

Solving for \( x \) yields \( x = 8 \). - Network4

📅 May 17, 2026 👤 scraface

May 17, 2026

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\left( \frac{10 \cdot 11}{2} \right)^2 = (55)^2 = 3025
Now, compute $ 3025 \mod 9 $. Since $ 55 \equiv 1 \mod 9 $, $ 55^2 \eq...
Thus, the remainder is $ \boxed{1} $.
Question: What is the base-ten equivalent of the base-seven number $ 3...
Solution: To convert $ 321_7 $ to base ten, expand using powers of 7:
\cdot 7^2 + 2 \cdot 7^1 + 1 \cdot 7^0 = 3 \cdot 49 + 2 \cdot 7 + 1 = 1...
Thus, the base-ten equivalent is $ \boxed{162} $.
Question: What is the greatest common divisor of $ 2^5 \cdot 3^2 \cdot...
Solution: To find the GCD, take the minimum exponent for each common p...
For $ 2 $: $ \min(5, 3) = 3 $

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