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Trains A and Bare traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 64 miles per hour. Train A passes a station at 6:15 p.m. If train B passes by the same station at 6:45 p.m. at what time will train B catch up to train A?
One-half serving of soy sauce contains 389 milligrams of sodium. How many grams of sodium from soy sauce are included in an egg-foo-young dish made from 4 serving of soy sauce? Round result to the nearest tenth of a gram.
A mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of letters is permitted.
show that A is an ideal of R and describe the cosets in R/A
If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d] hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*||
A rancher has 60,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
Billy likes to go cycling. His bike has wheels of a diameter 75. He has invented a counter for his bike, which counts the revolutions the wheel makes. One day the counter shows 370 revolutions. How far has billy cycled?
Events occur according to a Poisson process with rate lambda=2 per hour. Starting at noon, what is the expected time at which the fourth event occurs?
Let G be a simple graph with no isolated vertex and no induced subgraph with exactly two edges. Prove that G is a complete graph. (Please read carefully the definition of an induced subgraph before you attempt to solve it!).
If an investor purchased 50 shares of Pearson Education stock at $85 per share, 90 shares at $105 per share, 120 shares at $110 per share and another 75 shares at $130 per share. What is the mean cost per share?
the perimeter of a basketball court is 276'. the length is 40' longer than the width. find the dimensions of the court.
suppose a function f is conjugate to a function g by the homeomorphism h. show that g is conjugate to f by the homeomorphism h-inverse. Use the fact that h-inverse is a homeomorphism whenever h is.
students. of these 28 are juniors , 34 are physics majors, and 9 are neither. a student is selected at random, what is the probability the student is both a junior and a physics major?
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