Solve the problem.Alex must wrap two boxes. Both boxes are right rectangular prisms. The smaller box has a length of 12 inches. The larger box is similar to the first and has a length of 48 inches. Find the ratio of the amount of paper needed to wrap the large box to the amount of paper needed to wrap the small box.
A. 8 : 1
B. 64 : 1
C. 4 : 1
D. 16 : 1
Answer: D
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Solve the problem.Let D be the smaller cap cut from a solid ball of radius 3 units by a plane 2 units from the center of the sphere. Set up the triple integral for the volume of D in cylindrical coordinates.
A. 
B. 
C. 
D. 
Factor the trinomial completely. If the polynomial cannot be factored, write "prime."2x3y5 + 2x2y5 - 24xy5
A. y5(2x2 + 6x)(x - 4) B. 2xy5(x + 3)(x - 4) C. 2xy5(x - 3)(x + 4) D. prime
Use the midpoint formula to make the requested estimation.The life expectancy for a person living in a certain country born in 1990 was 78.9 years and the life expectancy of a person born in 2012 was 84.3 years. Estimate the life expectancy of a person living in this country born in 2001.
A. 81.6 yr B. 82.95 yr C. 83.6 yr D. 80.25 yr
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 = (2 + 3i) amperes and R = (9 + 5i) ohms.
A. (3 + 37i) volts B. (37 + 3i) volts C. (3 - 37i) volts D. (37 - 3i) volts