Solve.The formula Z = R sec ? gives the impedance Z (in ohms) in an ac circuit with resistance R (in ohms) and phase angle ? (in radians). Find the average value of Z for an 88.9-? resistor as ? ranges from ?/8 radians to ?/3 radians.
A. 154.9 ?
B. 124.1 ?
C. 162.3 ?
D. 81.2 ?
Answer: B
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Find the largest open interval where the function is changing as requested.Increasing y = 7x - 5
A. (-5, ?) B. (-?, ?) C. (-?, 7) D. (-5, 7)
Use divisibility tests to decide whether the first number is divisible by the second. 139,243,105; 11[Note that a divisibility test for 11 is as follows: Starting at the left of the number, add together every other digit. Add together the remaining digits. Subtract the smaller of the two sums from the larger. If the final number obtained is divisible by 11, then so is the original number. If the final number obtained is not divisible by 11, then neither is the original number.]
A. Yes B. No
Use the substitution method or the elimination method to solve the system. If the system has infinitely many solutions, express the ordered pair in terms of x or y.7x - 4y = 321x - 12y = 12
A. (3, 12)
B. (3, 4)
C. no solution
D. 
Use an associative property to complete the statement. Do not simplify.c ? (4x) = 
A. (4x) ? c B. c ? (x ? 4) C. (c ? 4) + x D. (c ? 4) ? x