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A commercial freight carrier is flying at a constant speed of 400 mi/h and is traveling 4 miles east for every 3 miles north. A private plane is observed to be 210 miles east of the commercial carrier, traveling 12 miles north for every 5 miles west.
a. If it is known that the two planes are on a collision course, how fast is the private plane flying?
b. When will the collision take place if it is not averted?
out of 300 computers, 22 are defective. how many defective computers would you expect in a group of 30,000.
A farmer goes to the market and buys 100 animals at a total cost of $1000. If cows cost $50 each, sheep cost $10 each, and rabbits cost 50 cents each, how many of each kind does he buy?
Suppose that a pair of 20-sided dice are rolled (the sides are numbered 1-20). What is the probability that the sum of the dice is 13?
after 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount salt in the tank at the end of an additional 10 min.
Let A be the area under the graph of an increasing continuous function f from a to b, and let Ln and Rn be the approximations to A with n subintervals using left and right endpoints, respectively.
Which of the following is NOT a potential source of survey error?
The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the cos..
Calculate the breakeven point
Suppose that each member of a set of people has a list of k books which he or she wishes to borrow from a library. SUppose also that each book appears on exactly k lists. Show that it is possible for everyone to borrow one of the books on his or h..
a rancher is fencing off a rectangular area with a fixed perimeter of 76. What dimensions would yield the maximum area?
Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set:
Utilizing malthus method, Suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days
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