Change the Cartesian integral to an equivalent polar integral, and then evaluate.

A. ?(10 ln 10 + 9)
B. ?(9 ln 10 + 9)
C. ?(9 ln 10 - 9)
D. ?(10 ln 10 - 9)


Answer: D

Mathematics

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Solve the problem.An omelette costs $1.50 more than Mario's order of pancakes. After treating his family to breakfast, Mario is sure that 5 omelettes and 3 orders of pancakes cost more than $25 but not more than $40, including tax of 7% and a tip of $3.50. In what price range is an order of pancakes?

A. ($1.57, $3.33] B. ($1.55, $3.30] C. ($1.57, $3.33) D. [$1.55, $3.30]

Mathematics

Solve the problem.Two forces, F1 of magnitude 60 newtons (N) and F2 of magnitude 70 newtons, act on an object at angles of  and  (respectively) with the positive x-axis. Find the direction and magnitude of the resultant force; that is, find  Round the direction and magnitude to two decimal places.

What will be an ideal response?

Mathematics

Write the rate as a unit rate. Express the answer as a fraction with a denominator of 1. Then express the answer in words using the word "per."92 miles in 46 minutes

A.  = 92 miles per minute
B.  = 10 miles per minute
C.  = 1 mile per minute
D.  = 2 miles per minute

Mathematics

Write the fraction as a decimal. If necessary, use repeating decimal notation.

A. 0.682 B. 0.671 C. 0.672 D. 0.572

Mathematics