Solve the problem.A cyclist bikes at a constant speed for 17 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 22 miles. Find his speed.

A. 6 mph
B. 4 mph
C. 7 mph
D. 5 mph


Answer: D

Mathematics

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Solve.The height in meters of females in a certain ethnic group is approximated by h = 0.52 + 2 log (t/3) where t is the girl's age in years and 1 ? t ? 20. Estimate a girl's height at 4 years of age in this particular ethnic group. Round to the nearest hundredth.

A. 0.52 m B. 0.77 m C. 1.12 m D. 0.96 m

Mathematics

The graph of the function g(x) is a translation of the graph of . Graph the function. ? 

A.


B.


C.


D.


Mathematics

Give the equation of the vertical asymptote(s) of the rational function.f(x) = 

A. y = 3
B. x = 
C. x = 
D. x = 8

Mathematics

Solve.Two radio transmitters are located 400 miles apart on a shore and send simultaneous signals to a ship that is 200 miles offshore. The signal from transmitter T arrives at the ship 100 microseconds after the signal from transmitter S. The signals travel at the speed of 0.186 miles per microsecond. Find the equation of the hyperbola with foci S and T on which the ship is located. Let the center point between the transmitters correspond to the point (0, 0) and let the x-axis be oriented such that it contains the two transmitters. (Hint: For any point along the hyperbola, the absolute value of the difference of its distances from the foci is 2a.)

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics