Answer:
2,3,6
Step-by-step explanation:
those are the only positive factors in there
The formula for the area of a cylinder is 
×h
First, we do not have to worry about pi because we are leaving our answer in terms of it so we can move on to the radius squared.
The radius is halfway across a circle so our radius would be 4 and we have to square that and we will get a product of 16.
Lastly, we have to multiply 16 by 8 because 8 is the height of the cylinder
16 × 8 = 128
Therefore, the volume of the cylinder would be 128 in.³
Based on the intersecting secants theorem, the value of x is: B. 30.9°
<h3>What is the Intersecting Secants Theorem?</h3>
The intersecting secants theorem states that when two secants intersect, the measure of the angle they form is half the difference of the intercepted arcs.
Thus, based on the intersecting secants theorem, we would have the following:
x = 1/2(138 - 76.2)
x = 1/2(61.8)
x = 30.9°
Learn more about intersecting secants theorem on:
brainly.com/question/1626547
Let x be the amount of Columbian coffee in the mixture and y the amount of Sumatra coffee in the mixture, then
x + y = 1 . . . (1)
9.25x + 14.25y = 12.50 . . . (2)
(1) x 9.25 => 9.25x + 9.25y = 9.25 . . . (3)
(2) - (3) => 5y = 3.25 => y = 3.25/5 = 0.65
From (1), x + 0.65 = 1 => x = 1 - 0.65 = 0.35
1 pound of the mixture contains 0.35 Columbian coffee and 0.65 Sumatra coffee
Therefore, 12 pounds of the mixture will contain 0.35 x 12 = 4.2 pounds of Columbian coffee and 0.65 x 12 = 7.8 pounds of Sumatra coffee
Answer:
A) 
B) 
Step-by-step explanation:
A)
So we have the integral:
First, remove the constant multiple:
Use the power rule, where:
Therefore:
Simplify:
And multiply:
And, finally, plus C:
B)
We have the integral:
To solve, we can use u-substitute.
Let u equal 5-x. Then:
So:
Move the negative outside:
Power rule:
Add:
Substitute back 5-x:
Constant of integration:
And we're done!
