Solve the problem.A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting 2 cm squares from each corner and folding up the sides. Let x represent the width of the original piece of cardboard. Find the width of the original piece of cardboard, x, if the volume of the box is 2496 cm3.
A. 28 cm
B. 24 cm
C. 29 cm
D. 27 cm
Answer: A
Mathematics
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Solve the problem.Find the sum of the series 
.[Hint: Write the series as 1 + 4 + 
= 5 + 
+ 3
+ 
.]
A. 3e + 5 B. 8(e - 1) C. 5e D. 9e - 11
Mathematics
Find the derivative of y with respect to the independent variable.y =log8
A. 
B. 
(sec ? csc ? - ln 5 -1)
C. 
(cot ? - tan ? - ln 5 -1)
D. e8(cos ? - sin ? - e?5?)
Mathematics
Evaluate the integral.
A. 
B. 
C. 212
D. 
Mathematics
Write as an equivalent decimal. If a repeating decimal is obtained, use notation such as 0.
, 0.
, or 0.
.
A. 0.4
B. 0.4375
C. 0.437
D. 0.43
Mathematics