Factor out the greatest common factor.4m9 + 16m6 - 8m3
A. -4m3(5m6 - 4m3 + 2)
B. 4m3(m6 + 4m3 - 2)
C. 4(m9 + 4m6 + m3)
D. m3(20m6 + 16m3 - 8)
Answer: B
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Solve the problem.A right triangular plate of base 6.0 m and height 3.0 m is submerged vertically, as shown below. Find the force on one side of the plate if the top vertex is 1 m below the surface. 6.0 m
A. 210,000 N B. 180,000 N C. 150,000 N D. 410,000 N
Solve the problem.The number sequence that corresponds to the figures above is 1, 6, 15, 28, . . . .These are the hexagonal numbers H1, H2, H3, H4, . . . .Use inductive reasoning to find a formula for the nth hexagonal number, Hn.
A. Hn = (n + 1)(2n - 1) B. Hn = n(2n - 1) C. Hn = 2n(n - 1) D. Hn = 5n - 4
Solve.The population P, in thousands, of Marysburg is given byP(t) = ,
where t is the time, in months.Find the population at t = 0, 2, 4, and 9 months.
A. 0; 30,000; 24,000; 12,706 B. 0; 37,500; 27,000; 14,294 C. 0; 18,750; 15,000; 7941 D. 0; 37,500; 30,000; 15,882
Evaluate or simplify the expression without using a calculator.2 log 103.9
A. 0.78 B. 7.8 C. 78 D. 2.7220