Solve the problem.The numbers on the right in the equations below are the hexagonal numbers. Use the sequence of equations to find a formula for hn, the nth hexagonal number. 1 = 1 1 + 5 = 6 1 + 5 + 9 = 15 1 + 5 + 9 + 13 = 28 ..............
A. hn = (n - 1)(2n + 1)
B. hn = 2n(n - 1)
C. hn = n(2n - 1)
D. hn = n(2n + 1)
Answer: C
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Solve the problem.The groundhog population of Punxsutawny, Pennsylvania is closely monitored each year. Two years ago the population decreased by 12%. Last year the number of groundhogs increased by 6%. This year the population also increased by 9%. What was the percentage increase/decrease of groundhogs over these three years? Round your answer to the nearest tenth of a percentage point.
A. 29.4% increase B. 1.7% increase C. 4.3% decrease D. 9.2% increase E. 24.8% decrease
Solve the problem.A generator produces an alternating current according to the equation where t is time in seconds and I is the current in amperes. What is the smallest time t such that
A. sec
B. sec
C. sec
D. sec
Convert. When necessary, round the answer to two decimal places.600 minutes = hours
A. 240 B. 25 C. 10 D. 5
Solve the problem.Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = -7x2, but which has a maximum of 7 at x = 5.
A. f(x) = -7(x + 5)2 + 7 B. f(x) = 7(x - 5)2 + 7 C. f(x) = -7(x - 5)2 + 7 D. f(x) = -7(x - 5)2 - 7