Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - Chapter Test - Page 671: 1

Answer

$344.1$ meters per second

Work Step by Step

Given \begin{equation} v(T)=20.1 \sqrt{273+T}.\tag{1} \end{equation} Find $v(20)$ by substituting $T$ by $20$ in equation $(1)$: \begin{equation} \begin{aligned} v(20)&=20.1 \sqrt{273+20}\\ &=344.1 \end{aligned} \end{equation} At a temperature of $20^{\circ} \mathrm{C}$, the speed of sound in air is about $344.1$ meters per second.
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