From a thin piece of cardboard 84 in. by 84 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume?

What will be an ideal response?


56 in. by 56 in. by 14 in.; 43,904 in3.

Mathematics

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Simplify the expression by using the order of operations.18 ÷ 3 ? 6 ? 24 ÷ (25 - 19)

A. 144 B. 864 C. 24 D. 36

Mathematics

Find the relative extrema of the function and classify each as a maximum or minimum.s(x) = -x2 - 8x + 65

A. Relative maximum: (4, 81) B. Relative maximum: (-8, 65) C. Relative maximum: (-4, 81) D. Relative minimum: (8, 65)

Mathematics

Describe the distributions with a pie chart.The following data give the color distribution of 1,000 carnations ordered by a local florist.PinkRedWhite300?500?200

A.

B.

Mathematics

Solve.If an object is propelled upward from a height of 80 feet at an initial velocity of 64 feet per second, then its height, h, after t seconds is given by the equation , where h is in feet. After how many seconds will the object reach a height of 144 feet? (Round your answer to the nearest tenth, if necessary.)

A. 1 sec B. 4 sec C. 8 sec D. 2 sec

Mathematics