Answer: it will take 576000 gallons to fill the lap pool.
Step-by-step explanation:
The formula for determining the volume of water in the rectangular pool is expressed as
Volume = length × width × height
The rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48. It means that the volume of water that would be pumped inside the pool is
Volume = 80 × 20 × 48 = 76800 cubic feet
1 cubic foot = 7.5 gallons
76800 cubic feet = 76800 × 7.5 = 576000 gallons
Answer:
$150
Step-by-step explanation:
I feel like this is a trick question
A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
Composing function is applying one function to the result of another and an arithmetic operation is when you add, subtract, multiply, or divide two functions.
Answer:
35+8=43 ounnces
Step-by-step explanation:
