Decide where the first digit in the quotient would be located. Then without finishing the division, determine which of the three choices is the correct answer.
A. 27 R 413
B. 270 R 413
C. 2700
Answer: B
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Construct a truth table for the statement.(p ? ~q) ? r
A. 
| T | T | T | F | F | F |
T F T T T T
T F F T T F
F T T F F F
F T F F F F
F F T T F F
F F F T F F
B.
| T | T | T | F | T | T |
T F T T F F
T F F T F F
F T T F T T
F T F F T F
F F T T T T
F F F T T F
C.
| T | T | T | F | F | F |
T F T T F F
T F F T F F
F T T F F F
F T F F F T
F F T T T T
F F F T T T
D.
| T | T | T | F | F | T |
T F T T T T
T F F T T F
F T T F F F
F T F F F T
F F T T F T
F F F T F T
Solve the problem.
The number sequence that corresponds to the figures above is 1, 5, 12, 22, . . . .These are the pentagonal numbers P1, P2, P3, P4, . . . .Use inductive reasoning to find a formula for the nth pentagonal number, Pn.
A. Pn = n(3n - 1)/2 B. Pn = 2n(n - 1) C. Pn = n(3n + 1)/2 D. Pn = 3n(n - 1)/2
Solve the problem.Suppose that a weight on a spring has an initial position of 
inches and a period of 
Find a function 
that models the displacement of the weight.
A. s(t) = -5 cos (2?(0.4)t) B. s(t) = -10 cos (2?(2.5)t) C. s(t) = -10 cos (2?(0.4)t) D. s(t) = -5 cos (2?(2.5)t)
Refer to the double-bar graph below which shows the number of male and female athletes at a university over a four-year period. Solve the problem.
Find the increase in the number of female athletes from 2003 to 2004.
A. 175 B. 125 C. 150 D. 375