A box with a square base, x feet by x feet, and no lid is to have a volume of 33 cubic feet. We can calculate both the height h, in feet, and the amount C, in square feet, of cardboard needed to make the box from the length x:
?
A: Find the value of x for the box using the minimum amount of cardboard. B: What is the height of the box you found in part A?C: How much cardboard is used for the box you found in part A?
?
(Round your answers to two decimal places.)
What will be an ideal response?
A: 
feet
feet?
B: 2.02 feet
?
C: 48.99 square feet
Mathematics
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Find the center of mass of a thin plate covering the given region with the given density function.The region enclosed by the parabolas y = 8 - x2 and y = x2, with density ?(x) = x2
A. 
= 4, 
= 0
B. 
= 0, 
= 
C. 
= 0, 
= 4
D. 
= 0, 
= 8
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Form a tiling from the given figure using translations and reflections.
What will be an ideal response?
Mathematics
Use a calculator to approximate the square root to three decimal places. 
A. 427.000 B. 20.661 C. 20.664 D. 20.669
Mathematics
Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability.One marble is white and one marble is blue.
A. 
B. 
C. 
D. 
Mathematics