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.

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.