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Home » After 1 year: 80 × 0.95 = 76 - High Altitude Science

After 1 year: 80 × 0.95 = 76 - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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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 $
For $ 3 $: $ \min(2, 4) = 2 $
$ 5 $ and $ 7 $ are not common to both.
Thus, the GCD is $ 2^3 \cdot 3^2 = 8 \cdot 9 = 72 $.
The greatest common divisor is $ \boxed{72} $.

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