Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.(log5 (r - 2) - log5 r)

A. log5 
B. log5 
C. log5 
D. log5 


Answer: C

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 3 for r(t) = (9t - 3t4)i  + (10 - t)j + (2t2 - 8t)k

A. a(3) = -81i + 4k B. a(3) = -324i + 4k C. a(3) = -324i - j + 4k D. a(3) = 324i + 4k

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Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.f(x) = 8 on [-3, 3] divided into 4 subintervals

A. 18
B.
C. 48
D. 12

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Write the fraction in simplest form.

A.
B.
C.
D. 10x2y2

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Find the perimeter of (distance around) the given figure by adding the lengths of the sides.

A. 13.12 feet B. 6.56 feet C. 5.2 feet D. 9.504 feet

Mathematics