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Answer :
Final answer:
To convert the body temperature from Fahrenheit to Celsius, use the formula T(°C) = 0.28368t + 36.088, where t is the time in hours since the measurement.
Explanation:
Fahrenheit to Celsius Conversion
The given formula for determining body temperature in Fahrenheit is F(t) = -0.012t + 0.2568t + 98.1. To convert this temperature to Celsius, the formula T(°C) = (F - 32) * (5/9) can be used.
Substituting the given formula for F(t), we get T(°C) = (-0.012t + 0.2568t + 98.1 - 32) * (5/9). Simplifying this equation gives T(°C) = 0.28368t + 36.088.
This means that the body temperature in Celsius, T(°C), can be determined by multiplying t by 0.28368 and adding 36.088.
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