Solve the problem.A 30-m-long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and that the chain has a density of 10 kg/m. How much work is required to wind the chain onto the cylinder if a 50-kg block is attached to the end of the chain?

A. 6000g J
B. 10,500g J
C. 9050g J
D. 4550g J


Answer: A

Mathematics

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Classify the following as the equation of a parabola, a circle, an ellipse, or a hyperbola.4y2 - 16x2 - 64 = 0

A. Parabola B. Hyperbola C. Ellipse D. Circle

Mathematics

Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree: 4; zeros: -1, 2, and 1 - 2i.

A. f(x) = x4 - x3 + x2 + 9x - 10 B. f(x) = x4 - x3 + 3x2 - 5x - 10 C. f(x) = x4 - 3x3 + 5x2 - x - 10 D. f(x) = x4 - 3x3 - 3x2 + 7x + 6

Mathematics

Find the amount of taxable income and the tax owed. The letter following the name indicates the marital status, and all married people are filing jointly. Use $3700 for each personal exemption; a standard deduction of $5800 for single people, $11,600 for married people filing jointly, $5800 for married people filing separately, and $8500 for head of a household; and the following tax rate schedule. 

A. $9208; $956.20 B. $3408; $340.80 C. $6835; $683.50 D. $3135; $313.50

Mathematics

Plot the complex number in the complex plane.-5i 

A.

B.

C.

D.

Mathematics