Solve the problem.The height of a vase is 5 inches. The table shows the circumference of the vase (in inches) at half-inch intervals starting from the top down. Estimate the volume of the vase by using the Trapezoidal rule with n = 10. Round your answer to the nearest thousandth. [Hint: you will first need to find the areas of the cross-sections that correspond to the given circumferences.] Circumferences 

A. 105.479 in.3
B. 62.876 in.3
C. 61.856 in.3
D. 101.552 in.3


Answer: C

Mathematics

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Express the value of the inverse hyperbolic function in terms of natural logarithms.cosh-1 

A. ln  
B. ln 
C. ln 4
D. ln 5

Mathematics

Solve.Chris and his friends went to the movies. They purchased 3 adult tickets, 2 student tickets and 4 child tickets. How much did they spend on movie tickets?

A. 50 B. 36 C. 48 D. 56

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Factor completely. If the polynomial is prime, state so.8a3 - 27b3

A. (2a - 3b)(4a2 + 9b2) B. (8a - 3b)(a2 + 6ab + 9b2) C. (2a + 3b2)(4a2 - 6ab + 9b2) D. (2a - 3b)(4a2 + 6ab + 9b2)

Mathematics

Use the properties of equality to solve the equation.x -  = - 

A.
B.
C. - 
D. - 

Mathematics