(4x^5-15x^3-10x^2)-(2x^5-5x^3-2x^2)
So, the first thing we will do is add like terms. But before that, lets get rid of both parenthesis. We'll just get rid of the first pair, and for the second pair, we will multiple everything in the second parenthesis by -1
4x^5-15x^3-10x^2-2x^5+5x^3+2x^2
Now, we will add like terms.
2x^5-10x^3-8x^2
Now, there's a common factor that all of these terms share; it's 2x^2. 2x^5 can be divided by 2, as well as -10x^3 and -8x^2 (these are the coefficients, number found in front of the variable.) So, we'll distribute 2
2x^2(x^3-5x-4) (we take the 2x^2 out by dividing all terms by 2x^2)
So, our answer would be
2x^2
To solve the problem shown above, you must apply the proccedure shown below:
1. You must use tthe formula for calculate the volume of a sphere, which is:
V=4πr³/3
V is the volume of the sphere.
r is the radius of the sphere (r=3.5 inches)
2. When you susbstitute these values into the formula shown above, you obtain the volume of the sphere. Therefore, you have:
V=4πr³/3
V=4π(3.5 inches)³/3
3. Therefore, the answer is:
V=179.5 inches³
Answer:
-3.5 + 12.25 = ?
Step-by-step explanation:
11.75 - 3 = 8.75
Answer:
8.75
Answer:
4.5 cm.
Step-by-step explanation:
The volume of the pyramid = 1/3 * area of the base * height.
Area of the triangle = 1/2 * base * height
= 1/2 * 14 * 8
= 56 cm^2.
So the volume of the pyramid =
84 = 1/3 * 56 * h
h = 84 / (1/3 * 56)
h = 84 * 3 / 56
= 4.5 cm.