Simplify the expression. Assume all variables represent positive real numbers.( + 3)( + 5)

A.  + 5 + 3 + 15
B.  + 8 + 15
C. 9 + 15
D.  + 15


Answer: A

Mathematics

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Calculate the arc length of the indicated portion of the curve r(t).r(t) = (3t sin t + 3 cos t)i  + (3 t cos t - 3 sin t)j ; -3 ? t ? 6

A. 67.5 B. 40.5 C. 135 D. 81

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The simple interest note was discounted at 15%. Find the discount period in days and the proceeds.Loan made: Jan 2Face value: $9,000Length of loan: 120 daysRate: 11%Date of discount: Mar 2

A. 61 days, $8,762.86 B. 61 days, $8,828.95 C. 60 days, $9,158.95 D. 61 days, $9,092.86

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Factor.u2 - 4uv - 45v2

A. (u + 5v)(u - 9v) B. (u - 5v)(u + v) C. (u - v)(u + 9v) D. (u - 5v)(u + 9v)

Mathematics

Write the equation of the line

(a) with slope of 2/3 and containing (6, 5). (b) that is vertical and passes through (-4, 6). (c) horizontal through (7,-2).

Mathematics