Solve the problem.Two radio transmitters are located 500 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 300 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
Answer: D
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Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.About the line y = -1x = 4 (solid)
A. ?
B. ?
C. ?
D. ?
Provide an appropriate response.Use division to express the (Dividend) as (Divisor)(Quotient) + (Remainder).
A. (x - 2)(-6x2 - 10x + 15) - 40 B. (x + 2)(-6x2 + 10x + 25) - 40 C. (x - 2)(-6x2 - 10x - 15) - 40 D. (x - 2)(-6x2 + 10x + 25) - 40
Find the slope of the line containing the two given points.(-3, 3) and (9, 3)
A. 0
B.
C. 1
D. Undefined
Solve the problem.A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 3 bags of potato chips for $12.75. Another customer buys 2 hot dogs and 2 bags of potato chips for $7.00. Find the cost of each item.
A. $2.25 for a hot dog; $1.50 for a bag of potato chips B. $2.25 for a hot dog; $1.25 for a bag of potato chips C. $1.25 for a hot dog; $2.25 for a bag of potato chips D. $2.50 for a hot dog; $1.50 for a bag of potato chips