From a thin piece of cardboard 48 in. by 48 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?
32 in. by 32 in. by 8 in.; 8192 
Mathematics
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Provide an appropriate response.Starting with a tone having a frequency of 192 cycles per second, find the frequency of the tone that is three octaves higher.
A. 576 cps B. 36,864 cps C. 1536 cps D. 768 cps
Mathematics
Divide.
A. -27x6 + 36x5 - 45x4 B. -3x6 + 4x5 - 5x4 C. -27x10 + 36x9 - 45x8 D. -3x10 + 4x9 - 5x8
Mathematics
Perform the indicated operation.v = 6i + 3j - 4k and w = 4i + 2j - 5kFind 2v - 4w.
A. 16i + 8j - 13k B. 10i + 5j - 9k C. -4i - 2j + 12k D. -10i - 5j + 16k
Mathematics
Graph the linear equation.-3x + y = 0
A. 
B. 
C. 
D. 
Mathematics