Step-by-step explanation:
1. volume of a cylinder = pi x radius squared x height (I wasn't sure which was the radius/diameter)
2. 615.74
3. 1km
4. rearrange formula for volume of the cylinder to get the radius on 1 side. divide both sides by height and pi to leave u with r². then divide by the square root.
formula= r=square root of 3080³/3.14 × 20
5. height = volume/ pi x radius squared
6. 2463.01
7. 28.01
8. 145.955 m
9. 21.01
10. 17
25 is .0333% of 750
•25/750 = .03
750 is 3000% of 25
•3000% = 30
Answer:
B.) 191.1 cubic cm.
Step-by-step explanation:
First find the area of the rectangular prism. Because the formula is l * w * h, this becomes 
= 149.1.
For the volume of a pyramid, the equation is 
. We already know the height, and because it's sitting on top of the rectangular prism, the base should have the same area. In other words, if the prism has a base of 7*6, then the pyramid can be found through 
. 7 Multiplied by 6 is 42, and since it's multiplied but also divided by 3, they cancel out, leaving only 42.
The sum of both of these shapes is 191.1 cm³.
X^2 - 2x - 8 = <span>(x + 2)(x - 4)
</span>reciprocal of x^2 - 2x - 8 = 1 / [(x + 2)(x - 4)]
<span>
answer is </span><span>C. 1 / [ (x + 2)(x - 4) ]</span>
Given y = xy + x^2 +1, first find y = f(x) = (x^2 + 1) / (1 - x). Then use the quotient rule for derivatives.
dy/dx = [( 1 - x)( 2x) - (x^2 + 1)(-1)] / (1 - x)^2. Substitute the value of x = -1 into the above derivative and get -1/2.
