Solve.A collection of dimes is arranged in a triangular array with 13 coins in the base row, 12 in the next, 11 in the next, and so forth. Find the value of the collection.

A. $0.91
B. $4.55
C. $9.10
D. $18.20


Answer: C

Mathematics

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Solve the problem.If  is a convergent series of nonnegative terms, what can be said about , where k is a positive integer?

A. Always diverges B. May converge or diverge C. Always converges

Mathematics

Add or subtract. Write the answer in lowest terms. + 

A.
B.
C.
D.

Mathematics

Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three decimal places.a = 1, b = 7

A. c = 8
B. c = ; c ? 7.071
C. c = ; c ? 2.828
D. c = ; c ? 6.928

Mathematics

Answer the question or provide the appropriate response.Which of the following methods may be used to show that there cannot be two real numbers that have a difference of 5 and a product of -25? (More than one method may be correct.)(i) Graph the function y = x2 - 5x + 25 and observe that the graph has no x-intercepts.(ii) Determine that the discriminant of the equation x2 - 5x + 25 = 0 is negative.(iii) Graph the function y = x2 - 5x + 25 and observe that the vertex lies above the x-axis.(iv) Graph the functions y1 = x2 - 5x and y2 = 25 and observe that these graphshave no points of intersection.

A. (i) only B. (i), (ii), (iv) C. (i), (ii), (iii), (iv) D. (i), (iv)

Mathematics