Rationalize the denominator. Assume that all variables represent positive real numbers.

A. 2 
B.
C. 27
D.


Answer: D

Mathematics

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Non-zero vectors v and w are given. Determine the vector decomposition of v into orthogonal components v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = 3i + 5j; w = 2i - j

A. v1 = i + jv2 = i + j
B. v1 = i + jv2 = i + j
C. v1 = i + jv2 = - i + j
D. v1 = i + jv2 = i + j

Mathematics

Solve the problem.The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If V = 88.0 in.3 when T = 110° and P = 15 lb/in.2, what is the volume when T = 230° and P = 15 lb/in.2?

A. 224.0 in.3 B. 184.0 in.3 C. 144.0 in.3 D. 174.0 in.3

Mathematics

Find percent notation for the fraction notation in the sentence. of the employees of one company say that they have job satisfaction.

A. 720% B. 72% C. 0.72% D. 7.2%

Mathematics

Graph the linear function. Give the domain and range.f(x) = x

A. Domain: (-?, ?)
Range: (-?, ?)

B. Domain: (-?, ?)
Range: (-?, ?)

Mathematics