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The upper right-hand corner of a piece of paper, 11 in. by 6 in., as in the figure, is folded over to the bottom edge. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?
Find the length of one of the congruent sides to the nearest hundredth of a cm.
Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters.
At what speed is the boat approaching the dock when it is 20 feet from the dock? 10 feet from the dock?
Let f be a function given by-Is there a function g: R ---> R such that g'=f? Be careful applying definition of the derivative
Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p. Draw the operating characteristic curve.
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
a postcard is 6in by 4in.a printing shop will enlarge it so that the longer side is any length up to 3 ft. find the dimensions of the biggest enlargement.
Explain why G cannot contain a subdivision of K5, but must contain a subdivision of K3 and draw two such a graphs, one in which K3,3 is a subgraph, and One in which there is a proper subdivision of K3,3 as a subgraph
A market research is available for $10,000. Using a decison tree analysis, it is found that the expecyed monetary value with no survey is $75,000. If the expected value of sample information is 62,000, what is the expected monetary value with the ..
A city sells plots in its cemetery for $1000 plus an amount calculated to provide for the costs of maintaining the grounds in perpetuity.
A plane heads on a bearing of 210* at 500 mph; the winds at the cruising altitude are 75 mph from the southwest to the north east.
A rancher plans to set aside a rectangular region of 1 square km for horses. A wooden fence encloses the area, and the side along a highway will cost 3 times as much per sq meter as the other sides to fence. Find the dimensions to minimize cost.
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