Find the following quotient, and write the quotient in rectangular form, using exact values.

A.  + i
B. -1 + i
C. 1 + i
D. -  + i


Answer: D

Mathematics

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Solve the problem.A simple electrical circuit consists of a resistor connected between the terminals of a battery. The voltage V (in volts) is dropping as the battery wears out. At the same time, the resistance R (in ohms) is increasing as the resistor heats up. The power P (in watts) dissipated by the circuit is given by P =  . Use the equation =   + 

src="https://sciemce.com/media/4/ppg__10612191704__f1q94g5.jpg" style="vertical-align: -17.0px;" /> to find how much the power is changing at the instant when R = 4 ohms, V = 4 volts,  and dV/dt = -0.08 volts/sec.

A. 3.84 watts
B. 4.16 watts
C. -4.16 watts
D. -3.84 watts

Mathematics

Use the graph of a known basic function and a combination of horizontal and vertical shifts to sketch the function.k(x) =  + 2

A.

B.

C.

D.

Mathematics

Give the equation of the vertical asymptote(s) of the rational function.f(x) = 

A. y = 3
B. x = 
C. x = 
D. x = 8

Mathematics

Solve the problem.The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters). Use the equation of the least squares line to predict the growth of a plant if the temperature is 79. 

A. 31.27 mm B. 32.53 mm C. 29.61 mm D. 31.90 mm

Mathematics