Solve the problem.Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 5 hours, while it takes Rachel 4 hours to finish the same job. If Mark and Rachel will work together on the job, and the cost of labor is $40 per hour, what should the labor estimate be? (Round to the nearest cent, if necessary.)

A. $88.89
B. $177.78
C. $180.00
D. $18.00


Answer: A

Mathematics

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Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = 

A. f(x) =  -  + 
B. f(x) =  +  + (5 sin x - sin 2x + . . .)
C. f(x) =  -   + (3 sin x - sin 2x + . . .)
D. f(x) =  -  + (5 sin x - sin 2x + . . .)

Mathematics

Solve the triangle.a = 8, c = 9, B = 105°

A. b = 16.4, A = 37°, C = 38° B. b = 13.5, A = 35°, C = 40° C. b = 19.3, A = 33°, C = 42° D. no triangle

Mathematics

Solve. Write the answer in simplest form.Marty jogged  of a mile from home and then rested. Then he continued jogging another  of a mile until he discovered his watch had fallen off. He walked back along the same path for  of a mile until he found his watch. Find how far he was from his starting point.

A.  mi
B.  mi
C.  mi
D.  mi

Mathematics

Solve the problem.Find the image of figure ABCD for the dilation with center P and scale factor 2.

A.

B.

C.

D.

Mathematics