Evaluate the given binomial coefficient.

A.
B. 4,019,520
C. 669,920
D. 157


Answer: C

Mathematics

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Express the rational number as a terminating or repeating decimal number.

A. 0.857142
B. 0.
C. 0.857
D. 0.

Mathematics

Write the fraction in simplest form.

A.
B.
C.
D.

Mathematics

Solve the problem.The owners of a large factory complex plan to install a new network of water lines to supply water to five factory buildings. The building numbers of the buildings involved are: #12, #14, #15, #17, and #18. The distances in meters between these buildings are given in the following table.a) Represent this information with a weighted, complete graph.b) Use Kruskal's algorithm to find a minimum-cost spanning tree that would link each building to give the least-expensive pipe network.c) If the water line cost is $700 per meter, determine the cost of the network in part (b).

What will be an ideal response?

Mathematics

Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree of the function as small as possible.Crosses the x-axis at -1, 0, and 4; lies below the x-axis between -1 and 0; lies above the x-axis between 0 and 4.

A. f(x) = x3 + 3x2 - 4x B. f(x) = - x3 - 3x2 + 4x C. f(x) = -x3 + 3x2 + 4x D. f(x) = x3 - 3x2 - 4x

Mathematics