Use an Euler diagram to determine whether the argument is valid or invalid.All painters use paint.All painters use brushes.Some people who use paint are teachers.Therefore, Some painters are teachers.

A. valid
B. invalid


Answer: B

Mathematics

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Solve the problem.Frank's Furniture employees earned $511.88, $185.62,  , and  last week. Find the average wage of the employees. Round your answer to the nearest cent.

A. $330.14 B. $396.17 C. $384.17 D. $495.21

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Find the ordered pair for the vertex.f(x) = (x - 18)2 - 19

A. (18, -18) B. (-19, 0) C. (0, -19) D. (18, -19)

Mathematics

Determine whether the partial fraction decomposition is correct by graphing the left side and the right side of the equation on the same coordinate system and observing whether the graphs coincide. (yes = coincide, no = does not coincide) =  +  

A. Yes B. No

Mathematics

Evaluate the following expression. (x ? ?n, where n is a whole number) ? ?

A. 3 (csc x - sin x) B.  (csc x + sin x) C. - 3 (csc x - sin x) D. 3 (csc x + sin x) E.  (csc x - sin x)

Mathematics