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A. Show that the block graph of any connected graph is a tree.Hint: Deduce the connectedness of the block graph from that of the graph itself, and its acyclicity from the maximality of each block.B. Let e be an edge in a 2-connected graph G 6= K4. Show that either G - e or G/e is again 2-connected. Deduce a constructive characterization of the 2-connected graphs analogous to Theorem 3.2.3. and 3.2.5Hint: Induction along Proposition 3.1.3.
Supppose a baseball is thrown at 85 miles per hour.The ball will travel 320 ft when hit by a bat swung at 50 miles per hour and will travel 440 ft when hit by a bat swung at 80 miles per hour.
Bert borrowed $7500 from Delores on November 7, 1997. When Bert repaid the loan, Delores charged $190.02 interest. If the rate of simple interest on the loan was 6 3/4%, on what date did Bert repay the loan?
The monthly charge for a waste collection service is 1280 dollars for 100 kg of waste and 2240 dollars for 180 kg of waste. Find a linear model for the cost, , of waste collection as a function of the number of kilograms, w.
An orchard contains 50 peach trees with each tree yielding an average of 58 peaches. For each 4 additional trees planted, the average yield per tree decreases by 12 peaches. How many trees should be planted to maximize the total yield of the orcha..
Give the general steps for graphing a linear function. Give an example of a linear function and graph it.
Answer the following questions in the space provided below: Describe the experience in the project. What were the solutions used to address the problem? Was the case you described a special-cause or common-cause
a triangular pyramid begins with these coordinatesp-1 2 0y2 3 0r-3 4 0a-2 1 5the pyramid is then reflected over the
The probability of event B given event A is P(B|A)=P(AandB)/P(A) The probability of event A given event B is P(A|B)=P(Aand B)/P(B)
directions write an equation of the conic sectionparabola with vertex at 53 and directrix
If Janice gets a 70 on a physics test where the mean is 76 and the standard deviation is 4, where does she stand in relation to her classmates?
the perimeter of a triangle is 195mm.if the lengths of the sides are consecutive odd integers, find the length of each side.
If q is the number of quarts of lemonade , then (1/4) q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade.
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