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7 October, 19:12

A can of soda is placed inside a cooler. As the soda cools, its temperature T (x) in degrees celsius is givien by the following function, where x is the number of minute since the can was placed in the cooler. T (x) = -6+24e^-0.038xFind the intial temperature of the soda and its temperature after 20 mintues. Round your answers to the nearest degrees as necessary. Initial temperature:___ celsius. Temperature after 20 minutes:__celsius.

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  1. 7 October, 19:14
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    Initial 18 degrees Celsius

    After 20 minutes, 5 degrees Celsius

    Step-by-step explanation:

    It's initial temperature can be calculated as at the time when x = 0

    When x = 0, the temperature is - 6+24 = 18 degrees Celsius

    This is because the exponent part equals 1 since anything raised in to the power of zero is one.

    After twenty minutes,

    T (x) = - 6 + 24e^-0.038 (20)

    T (x) = - 6 + 11.224 = 5.224

    And that is approximately 5 degrees Celsius to the nearest degree
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