The optimum shape of such a box is half a cube. The corresponding cube will have a volume of 2×256 ft³ = 512 ft³ = (8 ft)³. Such a box has a square base that is 8 ft on a side. If the height is half that of the cube, it will be 4 ft.
The dimensions of your box will be 8 ft square by 4 ft high.
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If the base dimension is x ft, the area (quantity of material) is
... a = x² + 4x(256/x²)
... a = x² + 1024x⁻¹
Then the derivative of area with respect to x is
... a' = 2x -1024x⁻²
Setting this derivative to zero and solving for x gives the value of x for minimum area.
... 0 = 2x -1024/x²
... 512 = x³
... x = 8 . . . . . . . . same as above.
The slope of the graph x+y=5 is B -5
A unit rate compares a quantity to one unit of another quantity
Answer:
The function f(x) = 275-55x represents the amount of money Bradley still owes.
Step-by-step explanation:
Given that:
Amount Bradley owes = $275
Amount Bradley pays each week = $55
Let,
x be the number of weeks.
We will subtract the amount paid every weeks from the total amount, where x is the number of weeks. The function will be given by;
f(x) = 275 - 55x
Hence,
The function f(x) = 275-55x represents the amount of money Bradley still owes.
Answer:
(B) y=2x^2
Step-by-step explanation:
(1/2) and (1/4) make the graph wider
2 makes it narrower
