Answer:
a. 
b. 
Step-by-step explanation:
Volume of the container denotes its quantity. It is a three-dimensional space.
Let V denotes the volume of the container, h denotes the height of the container and r denotes the radius of the container.
a.
The total capacity of the container in terms of π is <u />
b.
As the cylindrical container is four-fifths full of powder, so the volume of the powder in terms of π is 
volume of the container i.e.,
Answer:
(3 x)/(5 x + 2)
Step-by-step explanation:
Simplify the following:
(3 x^2)/(5 x^2 + 2 x)
Hint: | Factor common terms out of 5 x^2 + 2 x.
Factor x out of 5 x^2 + 2 x:
(3 x^2)/(x (5 x + 2))
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).
Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):
(3 x^(2 - 1))/(5 x + 2)
Hint: | Evaluate 2 - 1.
2 - 1 = 1:
Answer: (3 x)/(5 x + 2)
<h2><u>Given</u><u>:</u><u>-</u></h2>
<h2><u>Solution</u><u>:</u><u>-</u></h2>
Jim and Sarah are running for a president and Cayla and Daniel are running for a vice president.Combinations are:Jim (P) - Cayla (VP)Jim (P) - Daniel (VP)Sarah (P) - Cayla (VP)Sarah (P) - Daniel (VP)In total: 4 combinations.
