Find a formula for the nth term of the sequence.The sequence 1, - 
, 
, - 
, 
, . . . (reciprocals of squares with alternating signs)
A. an = 
B. an = 
C. an = 
D. an = 
Answer: C
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Solve the equation for the unknown quantity x.12x = 44
A. 0.66 B. 1.52 C. 2.28 D. 1.02
Use an Euler diagram to determine whether the argument is valid or invalid.Some TV shows are comedies.All comedies are hits. Therefore, Some TV shows are hits.
A. valid B. invalid
Solve. If necessary, round answers to the nearest hundredth.The following test scores were recorded for a student: 83, 78, 76, 72, 78, 64, 74. Find the mean, median, and mode.
A.
| mean: 76 | median: 72 | mode: 78 |
B.
| mean: 75 | median: 76 | mode: 78 |
C.
| mean: 76 | median: 75 | mode: 83 |
D.
| mean: 75 | median: 72 | mode: 83 |
Use slack variables to convert the constraints into linear equations.Maximizez = 4x1 + 12x2 + 7x3subject to:6x1 + 2x2 + x3 ? 12 x1 + 9x2 + x3 ? 24with:x1 ? 0, x2 ? 0, x3 ? 0
A. 6x1 + 2x2 + x3 = s1 - 12 x1 + 9x2 + x3 = s2 - 24 B. 6x1 + 2x2 + x3 = s1 + 12 x1 + 9x2 + x3 = s2 + 24 C. 6x1 + 2x2 + x3 + s1 = 12 x1 + 9x2 + x3 + s2 = 24 D. 6x1 + 2x2 + x3 + s1 = 12 x1 + 9x2 + x3 + s1 = 24