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Question: 1. Find every simple graph G with five vertices and the property that if exactly one edge e is added, the resulting graph G ∪e has an Eulerian circuit.
2. Consider the proposition If n is even, then n2 +n is even.
(a) Prove it.
(b) State the converse.
(c) If the converse is true, prove it; if it is false, give a counter example.
What are the values of the roots you found using track points? Round to the nearest hundredths.
Calculate the energy required to produce 7.00 mol Cl2O7 on the basis of the following balanced equation.
question a data set was coded by subtracting 20 from each value and then multiply each difference by 5. the mean and
Carry out the test in (a) at the 5% level. What is your conclusion: is the new version of the test harder than the old one? Justify your answer.
How could you interpret infinity in the y values for costs, a negative x value for time, or a horizontal asymptote in y values for profits?
What is the order of the permutation (13)(486)(79) in S9? How many permutations have the same cycle type as it? Determine the disjoint cycle decomposition of the permutation
Explain why the statement in (a) is true.
How do you use IQR and standard deviation in a stem and leaf plot.
The car is repossessed, and it is sold for $3,000. How much money will Dane receive? How much money will Liv receive?
Use geometric techniques to estimate the percentage full. Find an upper and lower bound to the percentage full.
A steam plant burns two types of coal: anthracite (A) and bituminous (B). For each ton of A burned, the plant produces 27.6 million Btu of heat, 3100 grams.
In what way might an average be misused? Alternatively, how might an average be misinterpreted? For instance, how can a misinterpreted average pertain to stereotyping? How can we avoid misuse or misinterpretation of averages? Provide a specific e..
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