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Home » V = \fracs^3{6\sqrt2} - 500apps

V = \fracs^3{6\sqrt2} - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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Question:** A bioinformatician compares DNA sequences across 8 species...
Solution:** Number of ways to choose 2 out of 8:
\( \binom{8}{2} = \frac{8 \times 7}{2} = 28 \)
Solution:** Start: 1 atm at surface.
Each 100 m multiplies pressure by 1.1.
We solve: \( 1 \times (1.1)^n = 1000 \) → \( (1.1)^n = 1000 \)
Take log: \( n = \log_{1.1}(1000) = \frac{\log 1000}{\log 1.1} = \frac...
So depth: \( 72.45 \times 100 \approx 7245 \) meters (round to nearest...
At 7200 m: \( (1.1)^{72} \approx 999.9 \) → just below
At 7300 m: \( (1.1)^{73} \approx 1099.9 \) → exceeds

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