Use the rules of exponents to simplify. Write the answer with positive exponents. Assume that all variables represent positive values.
A.
B. 25v2
C. 25v5
D. 5v2
Answer: B
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Solve the problem.You build an architectural model of a new office complex using a scale factor of 71. Suppose you wanted to fill both the scale model office complex and the actual office complex with marbles. How many times the number of marbles required for the model would be required for the actual building?
A. 5041 times as many B. 357,911 times as many C. 71 times as many D. 213 times as many
Solve the problem.Use the Huntington-Hill method to apportion eleven seats among State X, State Y, and State Z. The populations of the states are state X, 4.0 million; State Y, 6.5 million; and State Z, 5.2 million. The current assignment of ten seats is State X has two seats, State Y has four seats, and State Z has four seats. Assign the eleventh and twelfth seat.
A. Eleventh seat: State X; Twelfth seat: State Y B. Eleventh seat: State X; Twelfth seat: State Z C. Eleventh seat: State Y; Twelfth seat: State Y D. Eleventh seat: State Y; Twelfth seat: State Z
Solve.A copper base for a lamp consists of a large circle of radius 3y inches with a cut-out area in the center of radius x inches. Write an expression for the area of the top of this copper base. Write your answer in factored form.
A. A = 9?(y + x)(y - x) in.2 B. A = 9?(y + x)2 in.2 C. A = (3y + x)(3y - x) in.2 D. A = ?(3y + x)(3y - x) in.2
Factor.12x2 - 42x - 24
A. 6(2x + 1)(x - 4) B. (12x - 6)(x + 4) C. 6(2x - 1)(x + 4) D. 12x2 - 42x - 24