Asmall object with an initial temperature of 135 degrees fahrenheit is dropped into a tub with a temperature of 60 degrees fahrenheit. the function f(t)=ce(−kt)+60 represents the situation, where t is time in minutes, c is a constant, and k is a constant. after 6 minutes the object has a temperature of 85 degrees. what is the approximate value of k?

0.1831 s⁻¹

Explanation:

The function represents the temperature of the object at a certain time. Because there's a difference in temperature between the object and the tube, heat must flow from the object, and they will achieve thermal equilibrium.

At the beginning, t = 0, the temperature is 135°F, thus:

135 = C + 60

C = 75°F

After 6 minutes, t = 6, the temperature is 85°F, thus:

-6k = -1.0986

k = 0.1831 s⁻¹

the earth would become to overheated and everything alive on it will eventually die from overheating. plants will eventually die as well, water will evaporate, and it will be nothing but a hot planet without anything living on it.

answer: they produce more slow than unicellular organisms.