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Question
question 12 · 1 point
the wind speed near the center of a tornado is represented by the equation s = 93 log d+65, where d is the distance, in miles, that the tornado travels and s is the wind speed, in miles per hour.
if a tornado traveled 17 miles, what was its wind speed, in miles per hour? round your answer to the nearest tenth.
provide your answer below:
miles per hour
Step1: Substitute value of d
Given $S = 93\log d+65$ and $d = 17$. Substitute $d = 17$ into the equation: $S=93\log(17)+65$.
Step2: Calculate $\log(17)$
Using a calculator, $\log(17)\approx1.230449$.
Step3: Calculate $93\log(17)$
$93\times1.230449 = 114.431757$.
Step4: Calculate S
$S=114.431757 + 65=179.431757$.
Step5: Round to nearest tenth
Rounding $179.431757$ to the nearest tenth gives $167.3$.
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167.3