Provide an appropriate response.Describe the elements of a 4 × 4 identity matrix.
A. The matrix has ones on the main diagonal, and all other elements are zero.
B. The matrix has zeroes on the main diagonal. All other elements are ones.
C. The matrix has ones on the main diagonal and zeroes below the main diagonal.
D. All elements of the matrix are ones.
Answer: A
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?John owed $750 every month for rent. If he decided that he should not pay more than 25% of his take-home wage on rent, can he keep his promise. Complete the table below: ? Gross Annual Wages Take-Home Wages Monthly Take-Home WagesPercent of Monthly Take-Home Wages Going For Rent $38,000 $33,000 ?
A. ?No, since his monthly take-home wages are $2,750 and 25% of this amount is $687.5. B. ?Yes, since his monthly take-home wages are $2,750 and 25% of this amount is $687.5. C. ?No, since his monthly take-home wages are $2,750 and 25% of this amount is $787.5. D. ?Yes, since his monthly take-home wages are $3,166.67 and 25% of this amount is $791.67. E. ?No, since his monthly take-home wages are $3,166.67 and 25% of this amount is $791.67.
Solve the problem. Assume all variables represent nonnegative real numbers.For f(x) = x - 
and g(x) = x - 
, find (f ? g)(x).
A. (f ? g)(x) = x2 - 5
B. (f ? g)(x) = x2 + 2x
+ 5
C. (f ? g)(x) = x2 + 5
D. (f ? g)(x) = x2 - 2x
+ 5
Solve for the unknown in the equation.51 = 6X - 9
A. X = 54 B. X = 58 C. X = 17 D. X = 10
Solve the problem.Ms. Patterson proposes to give her daughter Claire an allowance of $0.20 on the first day of her 12-day vacation, $0.40 on the second day, $0.80 on the third day, and so on. Find the allowance Claire would receive on the last day of her vacation.
A. $2.40 B. $2048.20 C. $819.20 D. $409.60