Solve the problem. Use 3.14 for ?. Round to the nearest tenth.A cylindrical drain pipe is 5 in. across the top and about 12 in. high. How many cubic inches of water could it hold?

A. 376.8 in3
B. 235.5 in3
C. 942.0 in3
D. 471.0 in3


Answer: B

Mathematics

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Evaluate the integral.

A. -  +  + x + C
B. -  +   + C
C. -  +  + x + C
D. -  + cot 2x + x + C

Mathematics

Solve the problem.A bakery plans to market a mixed assortment of its two most popular cookies, Chocolate Chip and Toffee Chunk. The marketing analyst proposes that the new assortment be constrained by the inequality  where C is the number of Chocolate Chip cookies and T is the number of Toffee Chunk cookies. The sales analyst suggests that the assortment should be constrained by the inequality  The number of each type of cookie cannot be negative, so 

/> and Graph the region satisfying all the requirements for the assortment using C as the horizontal axis and T as the vertical axis. Does the combination of 7 Chocolate Chip cookies and 2 Toffee Chunk cookies satisfy all of the requirements?

A. Yes

B. No

C. No

D. Yes

Mathematics

Determine an estimate of the exact answer. Use estimation by rounding.Johnston Community Hospital estimates that 31.5% of all operations in hospitals are hip replacements. If 7,840,662 operations were performed last year, estimate the number of hip replacement operations. (Round the percent to the nearest one and the number of operations to the nearest million)

A. 2,560,000 B. 2,469,808.53 C. 2,509,011.84 D. 246,980,853

Mathematics

Find all cube roots of the complex number. Leave answers in trigonometric form.4 - 4i

A.  cis 100°,  cis 220°,  cis 340°
B.  cis 60°,  cis 180°,  cis 300°
C.  cis 80°,  cis 200°,  cis 320°
D.  cis 100°,  cis 220°,  cis 340°

Mathematics