Evaluate the exponential expression. Write the answer as an improper fraction where appropriate.(0.4)2
A. 0.16
B. 0.8
C. 0.2
D. 16
Answer: A
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Use the formula for Sn to find the sum for the geometric sequence.,
,
,
,
A.
B.
C. 21
D.
Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = 2x2 + 8x + 6
A. Increasing on (-2, ?); decreasing on (-?, -2) B. Increasing on (2, ?); decreasing on (-?, 2) C. Increasing on (-4, ?); decreasing on (-?, -4) D. Increasing on (8, ?); decreasing on (-?, 8)
Simplify the radical expression by factoring out the largest perfect nth power.
A. -8 B. 64 C. -64 D. 8
Solve.Two radio transmitters are located 350 miles apart on a shore and send simultaneous signals to a ship that is 150 miles offshore. The signal from transmitter T arrives at the ship 200 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