Solve.Howard builds patio chairs and dog houses that he sells at the local flea market. It takes him 4 hours to build a dog house and 5 hours to build a patio chair. Howard can work no more than 40 hours per week and he must produce more dog houses than chairs. Further, he wants to build at least 7 items each week. Write a system of inequalities to describe this situation and solve the system by graphing. Use D for the number of dog houses and P for the number of patio chairs produced each week.

A.

B.

C.

D.


Answer: B

Mathematics

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Find all the complex roots. Leave your answers in polar form with the argument in degrees.The complex fifth roots of -2i

A. (cos 54° + i sin 54°), (cos 126° + i sin 126°), (cos 198° + i sin 198°), (cos 270° + i sin 270°), 
B. 32(cos 54° + i sin 54°), 32(cos 126° + i sin 126°), 32(cos 198° + i sin 198°), 32(cos 270° + i sin 270°), 
C. (cos 54° + i sin 54°), (cos 126° + i sin 126°), (cos 198° + i sin 198°), (cos 270° + i sin 270°), 
D. (cos 45° + i sin 45°), (cos 117° + i sin 117°), (cos 189° + i sin 189°), (cos 261° + i sin 261°), 

Mathematics

Provide an appropriate response.Suppose Lena deposits $500 at the end of every month into a bank account that pays 5.4% compounded monthly. After five years, how much will she have?

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

Mathematics

Solve the problem.Steve drove 6 km and cycled 655 m. How many meters did he travel in total?

A. 6655 m B. 65,506 m C. 655.006 m D. 6556 m

Mathematics

Graph the function.f(x) = 2x 

A.

B.

C.

D.

Mathematics