In the LORAN (LOng RAnge Navigation) radio navigation system, two radio stations located at A and B transmit simultaneous signals to a ship or an aircraft located at P. The onboard computer converts the time difference in receiving these signals into a distance difference |A| - |B|, and this, according to the definition of a hyperbola, locates the ship or aircraft on one branch of a hyperbola (see the figure). Suppose that station B is located L = 480 mi due east of station A on a coastline. A ship received the signal from B 1280 microseconds (?s) before it received the signal from A. Assuming that radio signals travel at a speed of 1000 ft/?s and if the ship is due north of B, how far off the coastline is the ship? Round your answer to the nearest mile. Select the correct answer.
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d. 354 miles
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Find the work done by F over the curve in the direction of increasing t.F = 6zi + 4xj + 10yk; C: r(t) = ti + tj + tk, 0 ? t ? 1
A. W = 10
B. W = 40
C. W = 
D. W = 20
Solve the equation by factoring.x2 - 7x - 18 = 0
A. {-2, 9} B. {-2, -9} C. {2, 9} D. {2, -9}
Factor the polynomial completely. If the polynomial cannot be factored, say it is prime.4x2y - 8xy - 32y
A. y(4x - 16)(x + 2) B. 4y(x - 4)(x + 2) C. 4y(x - 4)(x - 2) D. 4y(x + 4)(x - 2)
Solve the problem.A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. By using linear regression, the following function is obtained: 
where x is the number of hours spent in the lab and y is the grade on the test. Use this function to predict the grade of a student who spends 16 hours in the lab. Round to the nearest tenth. Number of hours spent in lab Grade (percent) 10 96 11 51 16 62 9 58 7 89 15 81 16 46 10 51
A. 58.8 B. 72.6 C. 62.0 D. 54.8