College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.6 - Page 180: 111

Answer

$149$ million kilometers

Work Step by Step

Plug in the number of Earth days to the formula. Then divide by $0.2$ on both sides, and apply the exponent $\frac{2}{3}$ to both sides to simplify $x$. $E=0.2x^\frac{3}{2}$ $365=0.2x^\frac{3}{2}$ $\frac{365}{0.2}=x^\frac{3}{2}$ $1825=x^\frac{3}{2}$ $x=1825^\frac{2}{3}$ $x=149$
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