Use the fact that  to find the value of the logarithm.
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Fill in the blank(s) with the appropriate word(s).


-2.8451

Mathematics

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Thanks to smaller and more fuel-efficient models, American carmakers have doubled their average fuel economy over a 13-year period, from 1974 to 1987. The graph depicted in the figure gives the average fuel consumption in miles per gallon (mpg) of domestic-built cars over the period under consideration ( corresponds to the beginning of 1974). Use the trapezoidal rule to estimate the average fuel consumption of the domestic car built during this period. Round the result to the nearest hundredth.

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(Hint: Approximate the integral .)
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?
Please round your answer to two decimal places.
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__________ mpg

Fill in the blank(s) with the appropriate word(s).

Mathematics

Add or subtract as indicated. Simplify if necessary. + 

A.
B.
C.
D.

Mathematics

Multiply.(5 + 2i)(4 + 6i)

A. 12i2 + 38i + 20 B. 32 - 22i C. 8 + 38i D. 8 - 38i

Mathematics

Perform the indicated operations and simplify the result. Leave the answer in factored form.

A.
B.
C. 1
D.

Mathematics