Use estimation to determine which calculation is incorrect.

A.

B.

C.

D.


Answer: D

Mathematics

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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.

Mathematics

Write the expression as a logarithm of a quantity to a power. Leave answers in simplest form without negative or fractional exponents.7 logby

A. logby7 B. log7yb C. b log70y7 D. 7 logby7

Mathematics

Given the following properties of a triangle find side b.

Mathematics

Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola. -  = 1

A. center: (3, -3)
transverse axis: x = 3
vertices: (3, -5) and (3, -1)
foci: (3, -3 - 2) and (3, -3 + 2)
asymptotes: y + 3 = - (x - 3) and y + 3 = (x - 3)
B. center: (-3, 3)
transverse axis: y = 3
vertices: (-3, 1) and (-3, 5)
foci: (-3, 3 - 2) and (-3, 3 + 2)
asymptotes: y + 3 = - (x - 3) and y + 3 = (x - 3)
C. center: (3, -3)
transverse axis: y = -3
vertices: (5, -4) and (4, 0)
foci: (5, -2 - 2) and (4, -2 + 2)
asymptotes: y + 3 = - 3(x - 3) and y + 3 = 3(x - 3)
D. center: (3, -3)
transverse axis: x = 3
vertices: (3, -3 - 2) and (3, -3 + 2);
foci: (3, -5) and (3, -1)
asymptotes: y + 3 = - 3(x - 3) and y + 3 = 3(x - 3)

Mathematics