Solve the problem.A large city is planning to upgrade its existing downtown water distribution system. Water will be fed into the area at the point represented by the vertex labeled A in the graph below. Water must be piped to each of 5 main distribution points, represented by the vertices B through F in the graph. City engineers have estimated the cost of laying the pipes to carry the water between each pair of points in millions of dollars, as indicated on the graph. They must now select which pipes should be laid, so that there is exactly one route for the water to be pumped from A to any one of the five distribution points (possibly via another distribution point), and they want to achieve this at minimum cost. Use Kruskal's algorithm to determine which pipes they should lay. Find
the total cost of laying the pipes you select.
What will be an ideal response?
Mathematics
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Solve the problem.Without graphing, determine the amplitude and period of the function
A. amplitude = 5
period = ?
B. amplitude = 10
period = 2?
C. amplitude = 10
period =
D. amplitude = 5
period = 2?
Mathematics
Simplify.(-2x6y6)(5xy5)(4x6y)
A. 7x13y12 B. 7x36y30 C. -40x36y30 D. -40x13y12
Mathematics
Find the perimeter of the triangle.a scalene triangle whose sides are 21 mi, 11 mi, and 22 mi
A. 54 mi B. 43 mi C. 121 mi D. 53 mi
Mathematics
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = |-x|
A.
B.
C.
D.
Mathematics