A computer company uses the function f(h) = 50h + 75 to calculate the total repair bill, f(h), for h number of hours worked. Fin
2 answers:
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Answer:
A simple expression is = 4
Step-by-step explanation:
Surds are irrational numbers expressed with respect to a square root. There are some basic rules required when dealing with surd.
Integers are numbers that do not have a decimal or fractional part i.e whole numbers. So, a simple expression that can be written as k square root 3 where k is an integer is .
So that,
=
= 4
Answer:
26 ft square by 13 ft high
Step-by-step explanation:
The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...
2·(8788 ft^3) = (26 ft)^3
The square bottom of the tank is 26 ft square, and its height is 13 ft.
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<em>Solution using derivatives</em>
If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...
x^2 + 4x(8788/x^2) = x^2 +35152/x
The derivative of this is zero when area is minimized:
2x -35152/x^2 = 0
x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576
x = 26
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As the attached graph shows, a graphing calculator can also provide the solution.
