Solve the problem.Four boys and three girls are seated, in a row, at random, to watch a play. What is the probability thata) a girl is seated at each end of the row?b) one of the boys is seated in the middle seat?c) boys and girls are seated alternately?
A. a) 
b) 
c) 
B. a) 
b) 
c) 
C. a) 
b) 
c) 
D. a) 
b) 
c) 
Answer: B
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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 = src="https://sciemce.com/media/4/ppg__as0610191803__f1q87g5.jpg" style="vertical-align: -17.0px;" /> 
. Use the equation
= 
+ 
to find how much the power is changing at the instant when R = 4 ohms, V = 3 volts, 
and dV/dt = -0.04 volts/sec.
A. 1.06 watts
B. 1.19 watts
C. -1.19 watts
D. -1.06 watts
Provide an appropriate response.When asked to describe logarithms in one simple sentence, the teacher said, "Logarithms are exponents". What is meant by this sentence?
What will be an ideal response?
Factor the polynomial completely. If the polynomial cannot be factored, write "prime."xy2 + 6y2 - 9x - 54
A. (x - 6)(y + 3)(y - 3) B. (x + 6)(y + 3)(y - 3) C. (x + 6)(y - 3)2 D. (x + 6)(y2 - 9)
Use properties of rational exponents to simplify the expression. Assume that any variables represent positive numbers.
A. x167/105
B. 
C. x83/105
D. 