Evaluate the binomial coefficient.

A. 0
B. 4
C. 1
D. 6


Answer: D

Mathematics

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Solve the problem.Each piece of graphite for a mechanical pencil is 65 millimeters long. Find the total length in centimeters of the graphite in a package with 40 pieces.

A. 2.6 centimeters B. 2600 centimeters C. 260 centimeters D. 26 centimeters

Mathematics

Find the Jacobian of f (x, y)= and g( x, y) = sin

What will be an ideal response?

Mathematics

Solve the problem.The average number of vehicles waiting in line at a toll booth of a super highway is modeled by the function , where x is a quantity between 0 and 1 known as the traffic intensity. What happens to the average number of vehicles waiting as traffic intensity increases?

A. The average number of vehicles waiting remains constant. B. The average number of vehicles waiting decreases at first, but then increases. C. The average number of vehicles waiting increases. D. The average number of vehicles waiting decreases.

Mathematics

Solve the problem.Sunlight is absorbed by water and so, as one descends into the ocean, the intensity of light diminishes. Suppose that at each depth, going down one more meter causes a 15% decrease in the intensity of sunlight.(a) Write the difference equation for yn, the intensity of the light at a depth of n meters.(b) If the intensity of the light at the surface is 500 units, what is the intensity of the light at a depth of two meters?(c) Graph the difference equation. 

What will be an ideal response?

Mathematics