Solve the inequality. Express your answer using interval notation.-14 ? -2x - 4 < -12
A. [4, 5)
B. [-5, -4)
C. (-5, -4]
D. (4, 5]
Answer: D
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Solve the problem.A bead is formed from a sphere of radius 3 by drilling through a diameter of the sphere with a drill bit of radius 1. Find the volume of the bead.
A. ?
B. 18?
C. 36?
D. ?
Find the intersection.8x - 4y - 6z = 6, -6x - 4y + 3z = 7
A. x = -36t - , y = 12t -
, z = -56t
B. x = 2016t - 4, y = -672t - 92, z = 56t
C. x = 36t + 4, y = -12t + 92, z = 56t
D. x = -36t - 4, y = 12t + 92, z = 56t
Michelle receives 32K per year as an assistant fast food manager. Her benefits include health insurance, paid holidays, retirement contributions, and a 2-week paid vacation each year. Because she wears a uniform, Michelle calculates that she saves $2,500 on clothing costs per year. She constructed this table to show the value of each benefit. What is her annual salary, including benefits? Benefit Value Health Insurance$8,250 Paid Holidays$920 Retirement Contributions$4,500 Paid Vacation$1,230 Uniform Supplied$2,500
A. $32,000 B. $42,400 C. $4,690 D. $49,400
Translate the description to symbolic form.The volume of a cone is one-third of the product of ?, the square of the radius, and the height of the cone.
A. r2h
B. ?r2h
C. ?rh
D. + ? + r2 + h