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    Changes in Temperature

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    A cup of coffee has a temperature of 200 degrees Fahrenheit and is placed in a room of constant temperature of 70 degrees Fahrenheit. The temperature T of the soup t minutes after it is placed in the room is given by

    T(t)=70+130e^-0.075t

    Find the temperature of the coffee after 10 minutes.

    © BrainMass Inc. brainmass.com October 4, 2022, 12:01 pm ad1c9bdddf
    https://brainmass.com/physics/temperature/changes-temperature-518732

    SOLUTION This solution is FREE courtesy of BrainMass!

    A cup of coffee has a temperature of 200 degrees Fahrenheit and is placed in a room of constant temperature of 70 degrees Fahrenheit. The temperature T of the soup t minutes after it is placed in the room is given by

    T(t)=70+130e^-0.075t

    Find the temperature of the coffee after 10 minutes.

    Solution. Setting t=10, by the formula T(t)=70+130e^-0.075t, we have

    T(10)=70+130e^-0.075*10)
    =70+130e^(-0.75)
    =131.41

    So, we conclude that the temperature of the coffee after 10 minutes is 131.41 degrees Fahrenheit.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com October 4, 2022, 12:01 pm ad1c9bdddf>
    https://brainmass.com/physics/temperature/changes-temperature-518732

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