Find the impedance of a circuit with reactance and resistance . (See illustration.) Use the rules for working with measurements.

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A.
B.
C.
D.
E.

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Answer: C

Mathematics

Find the indicated vector.Let u = , v = . Find u - v.

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B.
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D.

Solve the problem.Ten police officers patrol in pairs. Two officers have each patrolled with 5 other officers, four officers have patrolled with 3 others, two have patrolled with 2 others, and two have patrolled with only 1 other officer. How many different patrol pairs have there been?

A. 11 B. 7 C. 28 D. 14

Solve the problem.Calculate the coordinates of the new location of the point (7, 0) when it is rotated 45° clockwise about the origin. Remember that it is the matrix  that rotates a point 45° clockwise about the origin.

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B.
C.
D.

Solve the problem.If the price charged for a bolt is p cents, then x thousand bolts will be sold in a certain hardware store, where  How many bolts must be sold to maximize revenue?

A. 312 bolts B. 312 thousand bolts C. 156 bolts D. 156 thousand bolts