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Given any positive integer n,
(a) find a connected graph with n edges such that removal of just one edge disconnects the graph;
(b) find a connected graph with n edges that cannot be disconnected by the removal of any single edge.
F ind the probability that the mean of the number of hours they watch television will be greater than 27.3 hours. Give your answer to 2 decimal places.
Solve the system of linear equations algebraically using either the substitution method or the elimination method to determine where the two cost options are equivalent, showing all work.
based on the nielsen ratings the local cbs affiliate claims its 11 p.m. newscast reaches 41 of the viewing audience in
semicircles are placed on the sides of an equilateral triangle with sides 10.1 feet. find the shaded area. with this problem the whole thing is shaded.
When the total area of the disturbed water is square feet, at what rate is the total area of the disturbed water changing?
What is the total dollar amount to be repaid on the loan, including principle and interest, for the entire year?
a biologist has two brine solutions one containing 3 salt and another containing 12 salt. how many millimiters of
If an open box has a square base and a volume of 96 in. and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
Let G be finite abelian group with this property: For each positive integer m such that m | |G|, there are exactly m elements in G with order dividing m. Prove that G is cyclic.
Formulate the initial-value problem describing the motion of the object under each of the following sets of conditions. Set x equal to the downward displacement from equilbrium.
Vanilla Box Company is going to make open-topped boxes out of 17 × 16-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?
The ELISA test was introduced in the mid-1980s to screen blood for the presence of AIDS antibodies
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