Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real numbers.

A. 1 
B.
C. 1 - a2
D.


Answer: D

Mathematics

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Write a chain rule formula for the following derivative. for u = f(r, s, t); r = g(y), s = h(z), t = k(x, z)

A.  = 
B.  =  
C.  = 0
D.  = 

Mathematics

Solve the problem.The Blue Ridge Electric Cooperative in western North Carolina wishes to connect cities in the area with new, more efficient electrical power lines. The cities include Asheville, Blowing Rock, Boone, Little Switzerland, and West Jefferson. The distances in miles between the cities involved 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 city to create the least-expensive power line network.c) If the cost to establish electrical power lines is $2700 per mile, determine the cost of creating the electrical power lines found in part (b).

What will be an ideal response?

Mathematics

Factor by grouping.t(5 - m) + s(5 - m)

A. t(5 - m) + s B. No common factor (except 1) C. (t + s)(5 - m) D. (t - s)(5 - m)

Mathematics

Find the periodic withdrawal for an annuity of $100,000 at 3%, paid out quarterly for 25 years. (Assume end-of-period deposits and compounding at the same intervals as deposits.) Round your answer to the nearest cent. ? $__________

Fill in the blank(s) with the appropriate word(s).

Mathematics