Which property or identity justifies the statement? +  is a rational number.

A. Commutative Property
B. Closure Property
C. Addition Property
D. Additive Identity


Answer: B

Mathematics

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Find both the parametric and the vector equation of the line.The line through (4, -1, 3) that is perpendicular to both u = (2, 0, -1) and the y-axis.

A. x = 4 - t, y = -1, z = 3 + 2t; r = (4, -1, 3) + t(-1, 0, 2) B. x = 2 - 4t, y = -t, z = -1 + 3t; r = (2, 0, -1) + t(-4, -1, 3) C. x = 4 - t, y = -t, z = 3 + 2t; r = (4, -1, 3) + t(-1, 0, 2) D. x = 4 - 2t, y = -1, z = 3 - t; r = (4, -1, 3) + t(-2, 0, -1)

Mathematics

Find the first four terms of the binomial series for the given function.(1 + 6x)1/3

A. 1 + 2x - 4x2 + x3
B. 1 + 2x + 4x2 + 8x3
C. 1 + 2x - 4x2 + 8x3
D. 1 - 2x + 12x2 - x3

Mathematics

Use the formula for the sum of the first n terms of a geometric sequence to solve.Find the sum of the first 9 terms of the geometric sequence: 3, 9, 27, 81, 243, . . . .

A. 29,560 B. 29,503 C. 29,525 D. 29,523

Mathematics

Solve the problem.A certain noise measures 75 decibels. If the intensity is multiplied by 1000, how many decibels will the new noise measure? Use the formula , where 

A. 78 decibels B. 105 decibels C. 75,000 decibels D. 225 decibels

Mathematics