# Math

The temperature in your house is controlled by a thermostat. The temperatures will vary according to the sinusoidal function: f(x)=6sin(Pi/12(x-15))+19 , where f(x) represents the temperature in degrees Celsius (°C) and x is hours since midnight. What is the temperature of your house at 3:00 p.m.?

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1. 3 pm is 15 hours after midnight.
So, plug in x=15 and you have
f(15)=6sin(Pi/12(15-15))+19 = 19

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posted by Steve
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posted by Taliyah

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