Solve the problem.If a group of 247 people is to be split into equal-sized subgroups of at least two people and no more than 30 people, what are the possible group sizes?

A. 19
B. 7, 13, and 19
C. 13 and 19
D. 9 and 13


Answer: C

Mathematics

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Provide an appropriate response. Another student investigated a four-sided figure that looked like a parallelogram, but one pair of opposite sides was not parallel. She tried a different construction than the triangle in an attempt to create a parallelogram. She found that by flipping a copy of the original figure she made a large parallelogram. Which conclusion will correctly determine the area of the original shape? 

A. The area of the original figure can be found by taking twice the sum of the top and bottom and multiplying the result by the height of the original figure. B. The area of the original figure can be found by taking the sum of the top and bottom and multiplying the result by the height of the original figure. C. The area of the original figure cannot be determined with this analysis. D. The area of the original figure can be found by taking half the sum of the top and bottom and multiplying the result by the height of the original figure.

Mathematics

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for the function.

Mathematics

Solve the problem.A formula for the up-and-down motion of a weight on a spring is given by S = 2 sin  t, where k is the spring constant, m is the mass, and t is the time. Solve the equation for t.

A. t =  sin (2/S)
B. t =  sin (S/2)
C. t =  arcsin (S/2)
D. t =  arcsin (S/2)

Mathematics

Solve and check. =  - 

A. No solution B. x = 0 C. x = 4 D. x = 2

Mathematics