Answer:
Nope but I hope you find one soon. -Your friend, Bill Cipher
Step-by-step explanation:
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:
4
Explanation:
I’ve attached my work
Hope it helps, Let me know if you have anymore questions/concerns !
Have a nice rest of your day :)
Venus moves at an approximate speed of 78,341 miles per hour, so we need this to be miles per second for our calculations.
First, divide by 60, as this time is for hours, and 1/60 of an hour is a minute.
78,341/60=1305.68333 miles per minute.
Divide this number by 60 to get 1 second, as there are 60 seconds in a minute.
1305.68333/60=21.7613888 miles per second
Now, multiply this by 5 for the total distance over 5 seconds.
21.7613888*5=108.806944 miles in 5 seconds
Now, we need to convert this distance from miles to kilometers, by multiplying this final answer by 1.6.
108.806944 miles*1.6=174.0911 kilometers in 5 seconds.
Hope this helps!
And I do not think any rounding was completed until the end. I shortened for the display on this, but I used the infinite decimal in the calculator.