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If two trains are 100 miles apart traveling directly toward each other, with one moving at 5 mph and the other moving at 10 mph, and a fly starts at the front of one train and goes directly toward the other train at 15 mph, then turns around when it reaches it and flies back, etc. until the trains collide, how far will the fly move?
What is the pattern among this set of ordered pairs? (0, 4), (1, 0), (2, -4), (3, -8)
A rectangular package with a square base to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume that can be sent.
Suppose you want to invest in a $100,000 project that you expect to provide cash inflows of $50,000 in the first year, $25,000 in the second and $20,000 per year thereafter, what is the payback period
Marcos drove twice as far as Candice. Together, they drove 66 miles. Which equation can be used to find the number of miles Candice drove?
Below is the graph of f(x). For each of the given points determine the value of f(a) and lim x→af(x) . If any of the quantities do not exist clearly explain why.
Explain in terms of energy conservation how, by knowing the vertical drop height, the energy at impact of a pendulum impactor can be calculated.
Use this result to prove that languages exist that are not recognizable by an oracle Turing machine with oracle for ATM.
a metal sculptor has a solid bronze sphere with a radius of 10 inches. She melts the sphere and casts a hollow sphere with an inner radius of 10 inches. What is the thickness of the shell of the hollow sphere?
A total of 330 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold?
a ball is projected vertically upwards with an initial speed of 10 m s-1 at a height of 2.5m above the ground. in part
trade discount of 30 and 10 are to be taken on an invoice that totals 2546.45 including prepaid shipping charges of
Suppose that I am standing above the point P (3, 2) and sit a ball down. Which direction best represents the direction that the ball will start to roll?
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