Solve.The daily profit in dollars of a specialty cake shop is described by the function  where x is the number of cakes prepared in one day. The maximum profit for the company occurs at the vertex of the parabola. What is the maximum profit?

A. $170.00
B. $204,504
C. $28,900
D. $142,296


Answer: D

Mathematics

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How would you find the area of a circle, given the area of the sector with radius 30 feet, and central angle 120??  ??

A.

120? is 1/4 of a circle's revolution; Therefore, the area of the circle is 4 times the area of the sector.


B.

?120? is 1/3 of a circle's revolution; Therefore, the area of the circle is 3 times the area of the sector.


C.

?120? is 1/4 of 180?; Therefore, the area of the circle is 4 times the area of the sector.


D.

?The area of the circle is: .


E.

?b and d are correct.


Mathematics

Evaluate the integral.

A. 9 ln  -  cos2 x + C
B. 9 ln  +  cos2 x + C
C. 9(ln  + sin x) + C
D. 9 ln  -  sin x + C

Mathematics

Solve the problem.Find the missing length in the similar triangles.

A. x = 20 B. x = 12 C. x = 25 D. x = 19

Mathematics

Round the decimal to the given place value.52.8166 (hundredths)

A. 52.92 B. 52.82 C. 52.72

Mathematics