Solve the problem.A summer camp consists of several lodges, dining rooms and bath houses, represented by the vertices on the graph below. These buildings are linked by gravel pathways whose lengths in yards are also indicated on the graph. The gravel paths become very muddy when it rains, so the camp owners wish to pave certain paths so that it is possible to walk between any two buildings without having to walk on a gravel path. Use Kruskal's algorithm to determine which paths should be covered in order to minimize the total length of paved paths. Also, determine the minimum total length of pathways that must be paved.

What will be an ideal response?




Mathematics

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Find a polar equation in the form r cos(? - ?0) = r0 for the given line.x - y = 10

A. r cos  = 10
B. r cos  = 5
C. r cos  = 10
D. r cos  = 5

Mathematics

Multiply.(3p5r2)(-5p2q2)(-q3r5)

A. -15p10q5r10 B. 15p7q5r7 C. 15p7q5r9 D. 15p10q5r10

Mathematics

Consider a soldier facing in a given direction (say north). Let us denote "left face" by l, "right face" by r, "about face" by a, and "stand fast" by f. (The element f means "don't move from your present position". It does not mean "return to your original position"). Then we define and an operation  meaning "followed by". Thus,

data-wiris-created="true" src="https://sciemce.com/media/3/ppg__cognero__5.1_Natural_Numbers__media__ca9d2d92-10f1-49f6-954f-2c539022d637.PNG" style="vertical-align: middle;" /> means "left face" followed by "left face" and is the same as the single command "about face". Complete the following table.  a f l r a________________________________________ f________________________________________ l____________________ a__________ r________________________________________ What will be an ideal response?

Mathematics

Find the LCD of the given fractions by prime factorization. and 

A. 224 B. 1344 C. 336 D. 672

Mathematics