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A motorboat travels 290 km in 5 hours going upstream. It travels 430 going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
In an 8 inch square cake pan and a 9 inch square cake pan, what is the difference in volume each pan will hold? Assume each pan is 2.5 inches high. Show step by step work. Include correct units with your solution.
Car A and Car B leave the origin at noon. Car A travels north at 264 mph and car B travels east at 448 mph.
a radio transmission tower is 200 feet tall. How long should a guy wire be if it is to be attached 14 feet from the top and is to make an angle of 23 degrees with the ground?
The county of Blue needs $800,000 from property tax to meet its budget requirements. The total value of assessed property in Blue is $140,000,000.
How can you compute the union and intersectio of two sets, using some of the methods that the set interfce provides? hint: your code should not be bigger than four lines
An airplane flying at an altitude of 30,000 feet passes directly over a fixed object on the ground. One minute later, the angle of depression of the object is 43°. Approximate the speed of the airplane to the nearest mile per hour.
a twin-engine aircraft can fly 768 miles from city a to city b in 3 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?
Explain what is meant by a universal set. Give a real world example of two universal sets. Be sure to first clearly define the two sets.
if an air flight arrives on time .60% of the time and 15 flights are observed, what is the means number of on time flights per 15 flights.
a mass of 35g stretches a spring 8.4cm. if the distance that a spring is stretched is directly proportionally to the attached mass, how many centimeters will the spring be stretched by a mass of 50g.
A train running at a uniform speed passes a bridge 275 m in 15 sec abd another bridge 425 m long in 21 sec find the length of the train.
Prove that if M is a maximal ideal of S and phi is surjective then phi^-1(M) is maximal ideal of R. Give an example to show that this need not be the case if phi is not surjective.
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