Find the least common multiple (LCM) of the pair of numbers.14 and 16

A. 2
B. 448
C. 224
D. 112

Answer: D

Mathematics

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Solve the given differential equation. (The form of yp is given.)D2y - 2Dy + y = 2x + x2 + sin 5x(Let yp = A + Bx + Cx2 + E sin 5x + F cos 5x.)

A. y = c₁e^x + c₂xe^x + 10 + 6x + x² +  sin 5x +  cos 5x
B. y = c₁e^x + 10 + 6x + x² -  sin 5x +  cos 5x
C. y = c₁e^x + c₂xe^x + 10 + 6x + x² -  sin 5x +  cos 5x
D. y = c₁e^x + c₂xe^x + 10 + 6x + x² -  cos 5x +  sin 5x

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Mathematics

Use the quotient rule to simplify.

A. 8 B. 64 C. 40 D. 5

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Mathematics

Find the specified quartile.The test scores of 19 students are listed below. Find the upper quartile, QU.

A. 81.5 B. 88 C. 81 D. 82

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Mathematics

A person purchased a used car for $6,000. The car was exploited for 3 years and was driven 9,300 miles. If it depreciates by 14% per year, what is the cost, in dollars per 100 miles, of depreciation?

a. $0.47 b. $15.57 c. $46.72 d. $434,482.76

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Mathematics