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Let G be a noncomplete graph of order n and connectivity k such that deg v ≥ (n+2k-2)/3 for every vertex v of G. Show that if S is a minimum vertex-cut of G, then G-S has exactly two components
explain the mathematical relationship between fracturing and earth
A window is 34 inches wide, and its perimeter is 188 inches. What is the length of the window?
A printer has a contract to print 100,000 invitations for a political candidate. He can run the invitations by using any number of metal printing plates from 1 to 20 on his press.
A 17 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t=0 and slides away from the wall at a rate of 1 textrm{ft/sec}.
in a study of exercise a large group of male runners walk on a treadmill for 8 minutes. after this exercise their heart
each function graphed is of the form ya sin bx or ya cos bx where b greater than 0. determine the equation of the
If an intercept involves a radical, give that answer as well as a calculator approximation rounded to three decimal places. Be sure to check that your results are consistent with the initial graphical estimates: y = x^4 - 25
A spherical tank of radius 3m is half full of oil that has a density of 900kg/m3. Find the work W required to pump the oil out of a spout which extends 1.5m past the top of the sphere. (Use 9.8 for g and 3.14 for . Round your answer to three signi..
This is the question in my assignment. Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to note what your value you are calculating for the variable x.
Let m=1517 and let e =17. Encode messages x by computing xe mod m. If x=2, what is the encoded message? If the encoded message is 2, what is the message x?
Kelly Fisher has a total of $30,000 invested in two municipal bonds that have yields of 8% and 10% interest per year, respectively. If the interest Kelly receives from the bonds in a year is $2640, how much does she have invested in each bond?
find the number of items sold in a day thst will maximise the total revenue and eveluate the total revenue
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