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The upper right-hand corner of a piece of paper, 14 in. by 4 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?
The ratio of the side lengths of the flag is 9:9:11. The perimeter of the flag is 116 inches. Find the side lengths. Then classidy the triangle by its side lengths.
Two cars start moving from the same point. one travels south at 30 mi/h and the other travels west at 70 mi/h. At what rate is the distance between the cars increasing 2 hours later?
What is the probability that more than one machine is in the system? Probability that more than two are broken and waiting to be repaired or serviced? More than four?
Probability of Drawing Two Red and Two Blue Marbles, A bag contains 4 red, 3 white and 5 blue marbles, What is the probability that in a sample of 4 marbles that are drawn
A music store has 2 new pop CDs, 3 new rap CDs, and 2 new rock CDs in this week. If you purchase 1 of each type, how many combinations are there?
A tank contains 200 liters of fluid n which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4L/min; the well-mixed solution is pumped up at the same rate.
Train A leaves a station traveling at 64 kilometers per hour. Two hours later, train B leaves the same station traveling in the same direction at 84 kilometers per hour. How long does it take train B to catch up to train A?
Evaluate the iterated integral. Evaluate the double integral
Using the method of separation of variables, solve the partial differential equation u subscript(tt)+2(pi)u subscript(t)-u subscript(xx)=-3sin(3(pi)x) for 0 less than or equal to x less than or equal to 1 with boundary conditions
Evaluate {double integral over region R} [F(dot)n dA] where F= x(ihat)+y(jhat)+(1-x^2-y^2)(khat) and n = 2x(i)+2y(j)+k and R is the disk x^2+y^2
What is the probability that a California adult is an internet user, given that he or she is a college graduate? Round your answer to 2 decimal places.
A group of friends decided to rent a vacation home for a week. They each paid $70 towards the rent. If three more friends had joined them, the cost per person would have been reduced by $14. How many friends went on the trip?
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