Answer:
Step-by-step explanation:
The rate of change in the temperature T of coffee at time t is written as 
(remember derivatives are used to express rates of change, and in our case the rate of change of the temperature T). The difference between the temperature M of the air at time t, and the temperature T of the coffee at time t can be expressed as 
Saying that the rate of change in the temperature T is proportional to the difference between M and T is just a way of saying that the rate of change in the temperature T is equal to the difference between M and T, multiplied by some constant k (whose value we don't know, but still that's what it means).
Therefore we get
Answer:
f(0) = 31
Step-by-step explanation:
We are given the following function:
f(0).
This is the value of f when 
. So
So f(0) = 31
Answer:
25 ft
Step-by-step explanation:
V = AH, where A = area of the base, and H = height (length) of the prism
A = bh/2 for a triangle
V = bh/2 × H
2500 = (10)(20)/2 × H
2500 = 100H
H = 25
Answer: 25 ft
Answer:
$31.5
Step-by-step explanation:
Answer:
9 cm
Step-by-step explanation:
