Answer:
B. A(r(t)) = 25πt²
Step-by-step explanation:
Find the completed question below
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.
Given
A(t) = πr²
r(t) = 5t
We are to evaluate the composite expression A(r(t))
A(r(t)) = A(5t)
To get A(5t), we will replace r in A(t) with 5t and simplify as shown
A(5t) = π(5t)²
A(5t) = π(25t²)
A(5t) = 25πt²
A(r(t)) = 25πt²
Hence the composite expression A(r(t)) is 25πt²
Option B is correct.
Answer: Option b.
Step-by-step explanation:
1. You have the function 
given in the problem above.
2. You must keep on mind that. by definition, the division by zero does not exist.
3. The value x=3 makes the denominator of the function f(x) equal to zero. Therefore you can conclude that the function shown in the problem is not defined at x=3.
The answer is the option b.
<span>Answer:
Q3 represents 75%, meaning a z of ~0.67
80 - 70 is 10, so the standard deviations is ~14.9.
10 / 0.67 = 14.9
now find the z that represents a score of 90
90 - 70 is 20
20 / 14.9 = 1.34
from a z-table, a z of 1.34 represents a probability of ~90.99% meaning that there is about a 9.01% chance of getting a 90 or better.</span>
If you add up all of the money he made and divide it by the amount he made via tips, you will see that the percent tip he received was 16%
Answer:
A.) The temperature fell in the last minute, but less than it fell in the minute before.
Step-by-step explanation:
Given that for three minutes the temperature of a feverish person has had negative first derivative and positive second derivative.
i.e. it temperature is represented by T, temperature is variable with
first derivative T' <0 and second derivative T">0
i.e. rate of change of temperature is negative or temperature is falling down in 3 minutes.
But the rate of rate of change of temperature was positive i.e. the rate of change of temperature is increasing as time increases.
So correct option would be option A
A.) The temperature fell in the last minute, but less than it fell in the minute before.
