Answer
$-12$ degrees Fahrenheit
Work Step by Step
Given:
Wind chill = $35.74+.6215*T -35.75*V^{.16} +.4275*T*V^{.16}$
$T=10$ degrees Fahrenheit
$V=30$ mph wind
Substitute the given values if $V$ and $T$ into the formula above to obtain
$\text{Wind chill temperature} = 35.74+0.6215\cdot 10 -35.75\cdot 30^{0.16} +0.4275\cdot10\cdot30^{0.16}$
$\text{Wind chill temperature} = 35.74 + 6.215 – 35.75\cdot1.72321474 + 4.275\cdot1.72321474$
$\text{Wind chill temperature} = -12.28318394$
$\text{Wind chill temperature} \approx -12$
