Solve.A hot-air balloon is rising vertically 12 ft/sec while the wind is blowing horizontally at 5 ft/sec. Find the angle that the balloon makes with the horizontal. Round to the nearest tenth of a degree, if necessary.
A. 67.4°
B. 38.7°
C. 52.4°
D. 22.6°
Answer: A
Mathematics
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Use the product rule, quotient rule, or power rule to expand the logarithmic expression. Wherever possible, evaluate logarithmic expressions.log5
A. - 2log5x
B. 10 - log5x
C. 
D. 2 - log5x
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Provide an appropriate response.The graph of y = (x8)x has two horizontal tangent lines. Find equations for both of them.
A. y = e1/e and y = e-1/e B. y = e4/e and y = e-4/e C. y = e8/e and y = e-8/e D. y = e8e and y = e-8e
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Express the repeating decimal as a quotient of integers. If possible, reduce to lowest terms.0.
A. 
B. 
C. 
D. 
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Simplify.
A. 3k2 B. 12 C. 12k2 D. 3k
Mathematics