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.
_____
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.
<h3>
Answer: B.) it is a one-to-one function</h3>
Explanation:
It's a function because it passes the vertical line test. It's also one-to-one because it passes the horizontal line test.
The vertical line test is where we try to draw a single line through more than one point on the blue curve. Such a task isn't possible in this case, and we consider the curve passing the vertical line test. The horizontal line test is nearly identical, but we're dealing with horizontal lines of course.
It would be 9 flowers because 4 times 9 equals 36 which means that each arrangement would have an even amount.
Answer:
B, hope this helps!
Step-by-step explanation:
Functions can not have repeating X values.
Answer:
There would be 2,120 dollars in that account