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.(log9 x + log9 y)

A. log9  + log9  
B. log9 
C. log9 
D.


Answer: C

Mathematics

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Evaluate the integral.

A.  [5 e6x sin 5x + 6 cos 5x] + C
B.  [5 sin 5x - 6 cos 5x] + C
C.  [5 sin 5x + 6 cos 5x] + C
D.  [ sin 5x + cos 5x] + C

Mathematics

Change the number to polar form and then perform the indicated operations. Express the result in rectangular form.(-  + j)6 

A. -64
B. -64 + 64j
C. 64 - 64j
D. 64j

Mathematics

Solve.A machinist who had been producing 50 parts per day increased output to 85 parts per day by using a faster machine. How many times faster is the new machine? Express your answer as a mixed number.

A. 1 times faster
B. 2 times faster
C. 2 times faster
D. 1 times faster

Mathematics

Use the indicated model of multiplication to illustrate the statement.(2 ? 3) ? 4 = 2 ? (3 ? 4); array model

A. (2 ? 3) ? 4 has four sets of blocks with 2 rows and 3 columns in each set.
 4 sets of these

2 ? (3 ? 4) has two sets of blocks with 3 rows and 4 columns in each set.
 2 sets of these
B. (2 ? 3) ? 4 has six sets of blocks with 1 column and 4 rows in each set.
 6 sets of these

2 ? (3 ? 4) has 12 sets of blocks with 1 column and 2 rows in each set.
 12 sets of these

Mathematics