Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula  Solve the problem using this formula.Find E, the voltage of a circuit, if I = (8 + 3i) amperes and R = (5 + 3i) ohms.

A. (31 - 39i) volts
B. (39 + 31i) volts
C. (39 - 31i) volts
D. (31 + 39i) volts

Answer: D

Mathematics

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Solve the problem.After t seconds the height s of an object propelled upward with an initial velocity of 3200 feet per second is given by s = 3200t - 16t2. What is the height the ball reaches after 114 seconds?

A. 156,864 feet B. 366,624 feet C. 362,976 feet D. 572,736 feet

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Mathematics

Graph the region indicated by graphing the system of inequalities. Label all points of intersection.

A. O(0, 0), A(0, -8)

B. O(0, 0), A(0, -8)

C. O(0, 0), A(0, -8)

D. O(0, 0), A(0, -8)

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Mathematics

Add or subtract. Assume that variables represent nonnegative values.3z2 - 5z2

A. cannot combine because the radicals are not like
B. -2z3
C. -2z2
D. 2z2

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Mathematics

Use the Gauss-Jordan method to solve the system of equations.9w + 7x - 5y - 2z = -218w + 5x - 8y - 2z = -299w + 7x + 6y + 3z = 18-5w - 2x + 7y + 9z = 15

A. (2, -3, 4, -1) B. (2, 3, -4, -2) C. (-1, 4, -5, 2) D. No solution

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Mathematics