Answer: Horizontal asymptote of c(x) is 450.
Step-by-step explanation:
Since we have given that
Cost to produce one refrigerator = $450
Fixed monthly cost = $200,000
So, Average cost function to produce x refrigerators is given by

Horizontal asymptote of c(x) would be

Hence, Horizontal asymptote of c(x) is 450.
Answer:
The amount of work required to remove all of the water by pumping it over the side = 3.12 × 10⁶ lbs.ft
Step-by-step explanation:
Work done in moving anything from point A to point B = Fx
For this setup,
If we take an elemental vertical height, dx, The volume would be A.dx
where A = Cross sectional Area = πr² = π(18)² = 1017.88 ft²
dV = 1017.88 dx
The elemental force on that part will be
dF = ρg dV
ρg = 63.8 lbs/ft³
dF = 63.8 × 1017.88 dx = 64940.5 dx
F = ∫dF = 64940.5 dx
W = Fx = (∫dF)x = ∫ 64940.5x dx = 64940.5 ∫ xdx
We'll be integrating from (11 - 6) ft to 11 ft because that's the total height it'll be pumped through
W = 64940.5 (x²/2)¹¹₅ = 64940.5((11² - 5²)/2) = 3.12 × 10⁶ lbs.ft
Answer:
1) Find the probability that a chosen book is nonfiction and hard-covered. P(N ∩ H) = 4/20
2) Find the probability that a chosen book is hard-covered. P(H) = 11/20
3) Calculate the conditional probability. = 4/11
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1.) 4/20
2.) 11/20
3.) 4/11
Electrons do not have FEET