Use the fact that the resistance of a wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area.
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A 10-foot piece of copper wire produces a resistance of 0.2 ohm. Use the constant of proportionality k = 0.000833 to find the diameter of the wire.
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(Round the answer up to three decimal places.)
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A. 0.23 ft
B. 0.58 ft
C. 0.38 ft
D. 0.48 ft
E. 0.73 ft
Answer: A
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Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth.
A. (-0.82, -2.26) B. (0.82, 2.26) C. (-2.26, -0.82) D. (2.26, 0.82)
Determine whether the variation between the indicated quantities is direct or inverse.The height of a tower and the time it takes for a marble dropped from the top of the tower to hit the ground.
A. Inverse B. Direct
Solve the problem.The matrix 
rotates a point 45° clockwise about the origin, and the matrix 
rotates a point 30° counterclockwise about the origin. Use these matrices, as needed, to find the coordinates of the new location of the point 
when it is rotated 15° counterclockwise about the origin.
A. 
B. 
C. 
D. 
Using the graph of the hyperbola, determine the coordinates of the vertices and foci, and the equations of the asymptotes.
A. Vertices (0, 0) and (0, 4), foci (0, 2 ± 2
), asymptotes y = 
x + 2 and y = - 
x + 2
B. Vertices (±4, 2), foci (0, 2 ± 2
), asymptotes y = 
x + 2 and y = - 
x + 2
C. Vertices (0, 0) and (0, 4), foci (±4, 2), asymptotes y = x + 2 and y = -x + 2
D. Vertices (0, 0) and (0, 4), foci (0, 2 ± 2
), asymptotes y = x + 2 and y = -x + 2