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.
Answer: 4=G 5=A
Step-by-step explanation:
4: since he has only 1 dime 2 nickels and 1 quarter he cant pull out 2 dimes since he doesn't have them, meaning G is not possible.
5: To solve you have to multiply 2 1/2 and 3 1/4, one way is by creating improper fractions and multiply that way. So you will get 5/2 x 13/4 which will give you 65/8. Simply to get 8 and 1/8
Answer: OPTION B
Step-by-step explanation:
The equation of a line that passes through the origin is the following:
Where "m" is the slope of the line.
By definition, Proportional relationships have the following form:
Where "k" is the Constant of proportionality.
Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.
Therefore, based on the explained above, you can conclude that the option that shows a function that represents a Proportional relationship is the Option B.
Then, this is:
Answer:
Parallel
Step-by-step explanation:
Parallel lines are 2 coplanar lines that dont intersect at any point
