Solve the problem.Michael's bank contains only nickels, dimes, and quarters. There are 45 coins in all, valued at $4.10. The number of nickels is 7 short of being three times the sum of the number of dimes and quarters together. How many dimes are in the bank?

A. 5
B. 32
C. 10
D. 8


Answer: A

Mathematics

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Find the derivative of the function.r = (sec ? + tan ?)-3

A. -3(sec ? tan ? + sec2?)-4
B. -3(sec ? + tan ?)-4
C. -3(sec ? + tan ?)-4(tan2 ? + sec ? tan ?)
D.

Mathematics

Using the addition/subtraction method, find the value of x and y to satisfy the following equations: 2x + 3y = 6; 2x + 4y = 1

a. x = 4.5 y = 11 b. x = 10.5 y = 7 c. x = 10.5 y = -5 d. x = 4.5 y = -5 e. x = 9.5 y = 5

Mathematics

Graph. -  = 1

A.

B.

C.

D.

Mathematics

Find the vertex, the focus, and the directrix of the parabola.(x + 4)2 = -32(y - 3)

A. V: (-4,4); F: (-4, -5); D: y = 11 B. V: (3,-4); F: (-4, -5); D: y = 11 C. V: (-4,3); F: (-4, -5); D: y = 11 D. V: (-4,3); F: (-12,-5); D: y = 11

Mathematics