After sitting in a refrigerator for a while, a turkey at a temperature of 39°F is placed on the counter and slowly warms closer to room temperature (69°F). Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the room, as given by the formula below: T = Ta + (To – Ta)e kt Ta =the temperature surrounding the object To = the initial temperature of the object t = the time in minutes T = the temperature of the object after t minutes k = decay constant %3D %3D The turkey reaches the temperature of 48°F after 35 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 120 minutes.

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After sitting in a refrigerator for a while, a turkey at a temperature of 39° F is placed
on the counter and slowly warms closer too room temperature (69°F). Newton's Law
of Heating explains that the temperature of the turkey will increase proportionally to
the difference between the temperature of the turkey and the temperature of the
room, as given by the formula below:
T = Ta + (To – Ta)e kt
Ta =the temperature surrounding the object
To =the initial temperature of the object
t = the time in minutes
the temperature of the object after t minutes
k = decay constant
The turkey reaches the temperature of 48°F after 35 minutes. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the turkey, to the nearest
degree, after 120 minutes.
Enter only the final temperature into the input box.
Transcribed Image Text:After sitting in a refrigerator for a while, a turkey at a temperature of 39° F is placed on the counter and slowly warms closer too room temperature (69°F). Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the room, as given by the formula below: T = Ta + (To – Ta)e kt Ta =the temperature surrounding the object To =the initial temperature of the object t = the time in minutes the temperature of the object after t minutes k = decay constant The turkey reaches the temperature of 48°F after 35 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 120 minutes. Enter only the final temperature into the input box.
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