The map in figure shows driving distances and times between California and Nevada cities. Use Kruskal's algorithm to find the minimum spanning tree for the following cities: Santa Rosa, San Francisco, Oakland, Manteca, Yosemite Village, Merced, Fresno, and San Jose.

A. 426 mi
B. 211 mi
C. 370 mi
D. 786 mi
E. 375 mi


Answer: E

Mathematics

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Solve the problem.Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 1.3 feet per second. Find a function, d(t), which gives the distance Ken is from the streetlight in terms of time. Find a function, , which gives the length of Ken's shadow in terms of d. Then find .

A. (S ? d)(t) = 0.72t B. (S ? d)(t) = 2.2t C. (S ? d)(t) = 1.24t D. (S ? d)(t) = 0.98t

Mathematics

Simplify the expression. Assume that all variables are positive when they appear.(8 + 5)2

A. 295 + 80
B. 325 + 80
C. 345 + 80
D. 345 - 80

Mathematics

Solve the problem.In the weighted voting system , the smallest possible value that the quota q can take is

A. 13. B. 12. C. 23. D. 11. E. none of these

Mathematics

Solve.The textbook for a history class costs $50. There are 31 students in the class. What is the total cost of the history books for the class?

A. $1519 B. $81 C. $1550 D. $1500

Mathematics