Answer:
Part a) 
Part b) 
Part c) 
Step-by-step explanation:
Part a) What is the volume of your friend's swimming pool?
we know that
The volume of a rectangular prism is equal to

substitute the values

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?
we know that
The volume of a cylinder is equal to

we have

----> the radius is half the diameter
substitute and solve for h



Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?
remember that

so

Find the volume of water for 

so
the volume of water evaporated is equal to

convert to gallons
remember that

so

24 * 3/4 = 18
The radius of smaller cone is 3/4 the radius of original cone, so since these cones are similar, height must also be 3/4 times smaller.
So since radius is squared and we also multiple the height (V = 1/3 π r² h),
the volume of smaller cone would be 3³ / 4³ = 27 / 64 times smaller
So we have 1920 * (27 / 64) = 810.
Final answer: B
Answer:
Step-by-step explanation:
<u>Given function:
</u>
<u>If domain is 5 the corresponding range value is:</u>
- f(5) = 3(5) + 4 = 15 + 4 = 19
F(-5) x g(-5)
f(-5) = -2(-5) - 7
f(-5) = 10 - 7
f(-5) = 3
g(-5) = -4(-5) + 3
g(-5) = 20 + 3
g(-5) = 23
f(-5) x g(-5) = 3 x 23 = 69
Your answer is 69