Solve the problem.In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and ? = 0.314 seconds =
minutes =
degreesdetermine the distance d from Earth to 61 Cygni using Bessel's figures.
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What will be an ideal response?
9.85 × 1013 km (More recent observations have refined this value to about
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Solve the problem.The gravitational force (in lb) of attraction between two objects is given by where x is the distance between the objects. If the objects are 5 ft apart, find the work required to separate them until they are 50 ft apart. Express the result in terms of k.
A. k
B. k
C. k
D. k
Find the solution for x of the equation
.
?
A. ?
B. ?
C. ?
D. There is no solution.
Find the x- and y-intercepts. If no x-intercepts exist, state so.y = -x2 + 4x - 16
A. No x-intercepts, (0, 16)
B. , (0, -16)
C. , (0, 16)
D. No x-intercepts, (0, -16)
Solve the problem.Use the graph to determine the percent change in test preparation time from Test 2 to Test 4.
A. 66.7% B. 100% C. 75% D. 33.3%