College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding - Page 80: 119

Answer

(a) $V = 15660.422$ gallons (b) $V = 390.675$ gallons

Work Step by Step

Using the provided formula, we plug in different values for h with a calculator: $V = 40 h^{2} \sqrt{\frac{96}{h} - 0.608}$ (a) With $h = 12$, we have: $V = 40*12^{2} \sqrt{\frac{96}{12} - 0.608} \approx 15660.422$ gallons (b) With $h =1$, we have: $V = 40*1^{2} \sqrt{\frac{96}{1} - 0.608} \approx 390.675$ gallons
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