Solve the inequality. Express your answer using interval notation. Graph the solution set.x + 2 < 5

A. (-?, 3]

B. (-?, 7)

C. (3, ?)

D. (-?, 3)


Answer: D

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The acceleration at t =  for r(t) = (5 sin 5t)i  - (4 cos 5t)j + (4 csc 5t)k

A. a = 125i + 100k
B. a = 100j + 100k
C. a = -125i - 100k
D. a = -125i + 100k

Mathematics

Find the perimeter.The local park district acquired lands to be used for a new dog park. How many yards of fencing are needed to enclose the dog park?

A. 391 yd B. 301 yd C. 371 yd D. 446 yd

Mathematics

Complete the table for the function and find the indicated limit.

A. 1.9988, 1.9995, 1.9999, 1.9999, 1.9995, 1.9988 limit = 2 B. 1.9988, 1.9995, 1.9999, 1.9999, 1.9995, 1.9988 limit = -2 C. 1.9988, 1.9995, 1.9999, 1.9999, 1.9995, 1.9988 limit = 0 D. 1.9988, 1.9995, 1.9999, 1.9999, 1.9995, 1.9988 limit = 1

Mathematics

Use a graphing utility to solve the system of equations. Express the solution rounded to two decimal places.

A. x = 1.99, y = 0.13; x = 1.04, y = 1.70; x = -0.91, y = 2.95 or (1.99, 0.13), (1.04, 1.70), (-0.91, 2.95) B. No real solution exists. C. x = 1.81, y = 0.28; x = 0.20, y = 2.45; x = -0.20, y = -2.45 or (1.81, 0.28), (0.20, 2.45), (-0.20, -2.45) D. x = 1.18, y = 1.03; x = 1.07, y = 1.52; x = -0.91, y = 2.88 or (1.18, 1.03), (1.07, 1.52), (-0.91,2.88)

Mathematics