The formula W = 35.74 + 0.6215T - 35.75V^4/25 + 0.4275TV^4/25 relates the wind chill temperature W to the air temperature T in degrees Fahrenheit and the wind speed V in miles per hour. Use a calculator to find the wind chill to the nearest degree when the air temperature is 40 degrees and the wind speed is 35 miles/h.
so, did you use your calculator? What did you get? Just plug in the numbers as given you.
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Real or wrong?
To find the wind chill temperature using the given formula for the specific values of air temperature and wind speed that you provided (T = 40 degrees Fahrenheit and V = 35 mph), you can follow these steps using a calculator:
1. Replace the variables with the given values in the wind chill formula:
W = 35.74 + 0.6215T - (35.75V^0.16) + (0.4275TV^0.16)
W = 35.74 + 0.6215(40) - (35.75(35^0.16)) + (0.4275(40)(35^0.16))
2. Simplify the calculation inside the parentheses:
W = 35.74 + 24.86 - (35.75(4.6777)) + (0.4275(40)(4.6777))
3. Calculate the exponent of V:
V^0.16 = 35^0.16 = 4.6777 (use the exponentiation function on the calculator)
4. Substitute the simplified values back into the formula:
W = 35.74 + 24.86 - (35.75 * 4.6777) + (0.4275 * 40 * 4.6777)
5. Perform the multiplications and additions/subtractions in the correct order according to the rules of arithmetic:
W = 35.74 + 24.86 - 165.8888 + 95.8858
W ≈ -9.3974
6. Finally, round the resulting wind chill temperature to the nearest degree: -9.3974 ≈ -9 degrees Fahrenheit.
Therefore, when the air temperature is 40 degrees Fahrenheit and the wind speed is 35 miles per hour, the wind chill temperature is approximately -9 degrees Fahrenheit.