If a projectile is fired with an initial speed of ft/s at an angle ? above the horizontal, then its position after t seconds is given by the parametric equations x =(cos?)t and y = (sin?)t-16 where x and y are measured in feet.

Suppose a gun fires a bullet into the air with an initial speed of 1024 ft/s at an angle of 30° to the horizontal. After how many seconds will the bullet hit the ground?
(a) 36 s
(b) 64 s
(c) 16 s
(e) none of these


(d) 32 s

Mathematics

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Change the exponential expression to an equivalent expression involving a logarithm.2-2 = 

A. log2-2 = 
B. log2 = -2
C. log-2 = 2
D. log1/42 = -2

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Use the information given about the angle ?, to find the exact value of the indicated trigonometric function.sin ? = - , ? in quadrant IV Find tan 2?.

A.
B. - 
C.
D. - 

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Identify the open intervals where the function is changing as requested.Increasing

A. (-2, 0) B. (-2, ?) C. (3, 6) D. (3, ?)

Mathematics

Solve the problem.The results of a school election for student president are shown in the following table. What is the probability that a randomly polled voter voted for Candidate C?

A. 0.6 B. 0.25 C. 0.5 D. 0.3

Mathematics