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Home » \( V = 20000 imes (0.85)^3 = 20000 imes 0.614125 = 12282.50 \). - AMAZONAWS

\( V = 20000 imes (0.85)^3 = 20000 imes 0.614125 = 12282.50 \). - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 Convert to exponential form: \( 8x = 2^5 \).

📌 Calculate \( 2^5 = 32 \).

📌 Solve for \( x \): \( 8x = 32 \) implies \( x = 4 \).

📌 A mixture contains 20% alcohol and the rest water. If 10 liters of water are added to 30 liters of this mixture, what is the new percentage of alcohol?

📌 Original alcohol = \( 0.2 \times 30 = 6 \) liters.

📌 Original water = 30 - 6 = 24 liters.

📌 After adding 10 liters of water, total water = 24 + 10 = 34 liters.

📌 Total new mixture = 30 + 10 = 40 liters.

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\sqrt{600} = \sqrt{100 \times 6} = 10\sqrt{6} \approx 10 \times 2.449...
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Check \( v = 20 \): \( 20^2 = 400 < 600 \) → valid.
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