Find fractional notation for the ratio. You need not simplify.At an advertising agency that employs 300 people, 137 employees receive 2 weeks of paid vacation each year. What is the ratio of those who receive 2 weeks of paid vacation to the total number of employees?

A.
B.
C.
D.


Answer: D

Mathematics

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Make the required change in the given equation.z = 3 to spherical coordinates

A. z = 3 B. ? cos ? = 3 C. ? = 0 D. x2 + y2 = 3

Mathematics

Express the number in decimal notation.4.14 × 10-4

A. 0.0000414 B. -414,000 C. 0.000414 D. 0.00414

Mathematics

Sketch the graph of the quadratic function. Identify the vertex and axis of symmetry.f(x) = (x + 1)2 - 9

A. vertex: (1, - 9)
axis of symmetry: x = 1


B. vertex: (1, - 9)
axis of symmetry: x = 1


C. vertex: (- 1, - 9)
axis of symmetry: x = - 1


D. vertex: (- 1, - 9)
axis of symmetry: x = - 1


Mathematics

Find the derivative of the function.f(x) = (6x - 2)(5x + 7)2

A. f'(x) = 6(5x + 7)+ 10(6x - 2)(5x + 7)2 B. f'(x) = 60(6x - 2)(5x + 7)2 C. f'(x) = 6(5x + 7)2 + 10(6x - 2)(5x + 7) D. f'(x) = 6(5x + 7)2 + 2(6x - 2)(5x + 7)

Mathematics