Answer:
A
Step-by-step explanation:
Alright, this may come out weird on computer, but here we go.
First, you want to change this into a multiplication problem, with Keep change flip. So now it's (c^2-c-20/c^2-6c+5) * (3c-3/c^2-16). You then want to simplify some number down.
You can simplify the first part using the X game (not sure if you know this), but you put the c value at the top, and the B value at the bottom, and the two sides blank. These two values must add to equal the C value, but multiply to equal the B value, so you get -5 and 4 for the numerator of the top. Following this formula, and using difference of perfect squares, you'll end up with the following.
(c-5)(c+4)/(c-5)(c-1) * 3(c-1)/(c+4)(c-4)
You then need to cancel out your different groups, so you'll cancel out (c-5), (c+4), (c-1).
After all that, you'll end up with 3/c-4, so the answer is A.
The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section
<h3>How to set up the integral?</h3>
The question is incomplete;
So, I will give a general explanation on how to set up a definite integral for volume of a solid
Assume the solid is a cone;
Using the disk method, the integral of the volume is:

Using the washer method, the integral of the volume is:
![V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5Ea_b%20%7B%5Cpi%20%5BR%28x%29%5E2%20-r%28x%29%5E2%20%5D%7D%20%5C%2C%20dx)
Read more about volume integrals at:
brainly.com/question/18371476
6,080,010 hope this helps you
Answer:
The number of servings which can be made by using gallon of milk are <u>128</u>.
Step-by-step explanation:
Given:
A recipe uses 1¼ cups of milk to make 10 servings of pudding.
Now, to find the servings which can be made by using gallon of milk.
Let the number of servings which can be made by using gallon of milk be
.
So, we will convert the quantity from fraction into decimal first:
1¼ cups = 
Thus, 10 servings need 1.25 cups.
Then, by using proportion we get the quantity of servings:

(1 Gallon = 16 cups.)
⇒ 
Multiplying both sides by 16 we get:
⇒ 
⇒ 
⇒ 
Therefore, the number of servings which can be made by using gallon of milk are 128.