Solve the problem.Tides go up and down in a 12.8-hour period. The average depth of a certain river is 8 m and ranges from 5 to 11 m. The variation can be approximated by a sine curve. Write an equation that gives the approximate variation y, if x is the number of hours after midnight and high tide occurs at 10:00 am.
A. y = 8 sin 
+ 3
B. y = 8 sin 
+ 3
C. y = 3 sin 
+ 8
D. y = 3 sin 
+ 8
Answer: C
Mathematics
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Calculate the flow in the field F along the path C.F = (x - y)i - (x2 + y2)j; C is curve from (4, 0) to (-4, 0) on the upper half of the circle x2 + y2 = 16
A. 16?
B. - 8?
C. 8?
D. 
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Factor completely. If the polynomial is prime, state so.729p3 + q3
A. (9p + q)(81p2 - 9pq + q2) B. (9p + q)(81p2 - 9pq - q2) C. (9p + q)(81p2 + q2) D. (9p + q)(81p2 + 9pq + q2)
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Draw a tree diagram for the experiment. Then use the diagram to find the number of possible outcomes.Toss two coins.
A. 4 outcomes B. 2 outcomes C. 1 outcome D. 3 outcomes
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Simplify using the product-to-power rule.(-2x6)3
A. 8x18 B. -8x18 C. 8x9 D. -8x9
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