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Question: If graphs are allowed to have an infinite number of vertices and edges, then Lemma is false. Give a counter example that shows this. In other words, give an example of an "infinite tree" (a connected, circuit-free graph with an infinite number of vertices and edges) that has no vertex of degree 1.
Lemma: Any tree that has more than one vertex has at least one vertex of degree 1.
you buy a new stereo for $1300 and are able to sell it 4 years later for #275. Assume that the resale value for the stereo decays exponentially with time. Write an equation giving the stereo's resale value V (in dollars) as a function of the time ..
The kinetic Energy (K) of a moving object varies jointly with its mass (m) and the square of its velocity (v). If an object has a mass of 22.5 kilograms and moving with a velocity of 20 meters per second has a kinetic energy of 4500 Joules
the production of a certain type of polymer fiber follows a normal distribution with a mean diameter of 20mm and a
simulate n 103 outcomes from the modely -2 x epsilonwhere x u0 1 and epsilon n0 0.12 independently. from your
Find how many years it will take for $15,500 to increase to $30,000 in a savings account with a 6.75 % interest rate with 4 compounding yearly.
Similarly, one additional unit will be occupied for each 10 dollar decrease in rent. What rent should the manager charge to maximize revenue?
The half-life of radioactive radium is 1620 years. Suppose that a sample of this substance has 300 mg. Determine the time T it will take for the sample to decay to a mass of 200 mg.
Develop the training objective for this program based on an analysis of the business.
Compare the number of comparisons needed to sort lists of n elements for n = 100, 1000, and 10,000 from the set of positive integers less than 1,000,000, where the elements are randomly selected positive integers, using the selection sort, the ins..
Create a 2 to 3-page research paper that discusses how one company (of your choice) illustrates social responsibility in its environment. Discuss what leadership does to promote social responsibility and how this ties to ethics and the organizati..
TRUST FUNDS Carl is the beneficiary of a $20,000 trust fund set up for him by his grandparents. Under the terms of the trust, he is to receive the money.
1. using the telephone numbers listed in your local directory as your population randomly obtain 20 samples of size 3.
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