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 34F is placed on the counter and slowly warms closer to room temperature (6 70F). 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 2 Ta + (T0 cage-kt TtJL = the temperature surrounding the object T0 = the initial temperature of the object 1; = the time in minutes T = the temperature of the object after 75 minutes k = decay constant The turkey reaches the temperature of 48F after 40 minutes. Using this information, nd 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 nal temperature into the input box

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