Solve the problem.A rectangular piece of cardboard measuring 16 inches by 50 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. What is the maximum volume of this box? If necessary, round to 2 decimal places.
A. 49,601.7 in.3
B. 1355.98 in.3
C. 5051.98 in.3
D. 4401.14 in.3
Answer: B
Mathematics
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Find the value of the determinant.
A. 130 B. -12 C. -90 D. 80
Mathematics
Use the given zero to completely factor P(x) into linear factors.Zero: 1 + i; P(x) = x4 - 8x3 + 20x2 - 24x + 12
A. (x - 
)(x + 
)(x - (1 + i))(x - (1 - i))
B. (x - 3)(x + 3)(x - 
)(x + 
)(x + i)(x - i)
C. (x - (3 - 
))(x - (3 + 
))(x - (1 + i))(x - (1 - i))
D. (x - (3 + 
))(x + (3 + 
))(x - (1 + i))(x - (1 - i))
Mathematics
Identify the equation as either an identity or not.cot2x = (csc x - 1)(csc x + 1)
A. Not an identity B. Identity
Mathematics
Find the root. Assume that variables represent nonnegative values.
A. 5k15 B. 125k4 C. -5k4 D. 5k4
Mathematics