Question: After sitting in a refrigerator for a while, a turkey at a temperature of 34F is placed on the counter and slowly warms closer to

After sitting in a refrigerator for a while, a turkey at

After sitting in a refrigerator for a while, a turkey at a temperature of 34"F is placed on the counter and slowly warms closer to room temperature (67.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 - Tale 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 The turkey reaches the temperature of 48F after 40 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 85 minutes. Enter only the final temperature into the input box

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