Determine whether the geometric series converges or diverges. If it converges, find its sum.

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Mathematics

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Let x represent one number and let y represent the other number. Use the given conditions to write a system of equations. Solve the system and find the numbers.One number is four more than a second number. Two times the first number is 6 more than four times the second number.

A. 4 and 0 B. 6 and 2 C. 5 and 1 D. - 7 and - 11

Mathematics

Solve the problem. If the answer is an amount of money, round to the nearest dollar.During the first half of a basketball game, the Bristol Panthers made 56% of their 50 field goal attempts. During the second half, they made 65% of their 40 field goal attempts. What was their field goal shooting percentage for the game?

A. 0.60% B. 62.57% C. 6.00% D. 60.00%

Mathematics

Solve the problem.Two machines are turned on at 8:00 A.M. If one can produce 65 items each hour and the other can produce 36 items each hour, at what time will they produce a total of 707 items?

A. 4:30 P.M. B. 2:00 P.M. C. 4:00 P.M. D. 3:00 P.M.

Mathematics

Find the vertex, focus, and directrix of the parabola x² = 7y.

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Mathematics