Step-by-step explanation:
Lets first find the remainder when p(x) is divided by x-2
p(2)=2(2)³+b(2)²+3(2)-5
p(2)=16+4b+6-5
p(2)=4b+17
Now let's find the remainder when q(x) is divided by x-2
q(2)=(2)³+(2)²-4(2)-b
q(2)=8+4-8-b
q(2)=4-b
Now let's equate both of them
4b+17=4-b
4b+b=4-17
5b=-13
b=-13/5 as required
Answer: w = 4 and l = 12
Step-by-step explanation:
Answer:



Step-by-step explanation:
The volume of the cylinder is

where r is the radius of a base circle and h is the cylinder's height.
If cylinder has diameter of 8 inches, then its radius is 4 inches. The height of the cylinder is 5 inches. Thus, the volume of the cylinder is

The volume of the cone is

where r is the radius of a base circle and h is the cone's height.
If cone has diameter of 8 inches, then its radius is 4 inches. The height of the cone is 15 inches. Thus, the volume of the cone is

As you can see the cylinder and the cone have the same volume.
The believe the answer is 3/5
The probability of the 2 events are multiplied to get the result 10/91
so we have the relation 5/14 * x = 10/91
where x is the probability of drawing the second black
so x = 10/91 * 14/5 = 4/13 answer