Over a period of time, a hot object cools to the temperature of the surrounding air. this is described mathematically as newtons law of cooing t=c+(t_0-c)e^-kt, where t is the time it takes for an object to cool from the temp t_0 to the temp t, c is the surrounding air temp, and k is a positive constant tat is associated with the cooling object. a cakes removed from the oven has a temp of 207 degrees f and is left to cool in a room that has a temp of 69 degrees f. after 20 min the temp of the cake is 138 degrees f. what is the temp of the cake after 35 min?

110.03 °F is the temp of the cake after 35 minutes.

Explanation:

Newtons Law of Cooing is given by:

t = Time it taken by an object to cool from the temp to the temp T

C = temperature of the surrounding

k =  Constant that is associated with the cooling object

We will first calculate the value of k.

Substituting the values in a given formula:

The temperature of the cake after 35 min:

T = 110.03 °F

110.03 °F is the temp of the cake after 35 minutes.

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