Solve the problem.If the impedance of a resistor in a current is Z1 = (6 + 9i) ohms and the impedance of a second resistor is Z2 = (3 - 3i) ohms, find the total impedance of the two resistors when they are placed in a series (the sum of the two impedances).??Series Circuit

A. (-3 + 12i) ohms
B. (9 + 6i) ohms
C. (9 - 6i) ohms
D. (-9 - 6i) ohms


Answer: B

Mathematics

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If the total surface area of a right circular cone is square feet and a radius of the base is 9 feet long, find the slant height of the cone. ?

A.

feet


B.

feet


C.

feet


D.

feet


E.

none of these


Mathematics

Solve the problem.Ms. Patterson proposes to give her daughter Claire an allowance of $0.20 on the first day of her 12-day vacation, $0.40 on the second day, $0.80 on the third day, and so on. Find the allowance Claire would receive on the last day of her vacation.

A. $2.40 B. $2048.20 C. $819.20 D. $409.60

Mathematics

Write the inequality in interval notation.x < 4 or x < 7

A. (4,?) B. (-?,7) C. (4,7) D. (4,-?) ? (7,?)

Mathematics

Solve the problem.Marty's Tee Shirt & Jacket Company is to produce a new line of jackets with an embroidery of a Great Pyrenees dog on the front. There are fixed costs of $670 to set up for production, and variable costs of $44 per jacket. Write an equation that can be used to determine the total cost, C, encountered by Marty's Company in producing x jackets.

A. C = (670 + 44) x B. C = 670 + 44x C. C = 670x + 44 D. C = 670 - 44x

Mathematics