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The National Weather Service uses the following formula to calculate the wind chill: W = 35.74 + 0.6215 Ta 35.75 V 0.16 + 0.4275 Ta

The National Weather Service uses the following formula to calculate the wind chill: W = 35.74 + 0.6215 Ta 35.75 V 0.16 + 0.4275 Ta V 0.16 where W is the wind chill temperature in F, Ta is the air temperature in F, and V is the wind speed in miles per hour. Note that W is defined only for air temperatures at or lower than 50F and wind speeds above 3 miles per hour. (a) Suppose the air temperature is 42 and the wind speed is 7 miles per hour. Find the wind chill temperature. Round your answer to two decimal places. (b) Suppose the air temperature is 37F and the wind chill temperature is 30F. Find the wind speed. Round your answer to two decimal places.

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