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Thought experiment #1 : you have infinitely many ping-pong balls, each labeled with a natural number and lined up in order 1,2,3.. in 30 seconds you put the first 10 ping pong balls in a barrel and then remove ball 1 in the next 15 seconds you put the next 2 balls in the barrel and then remove ball 2 in the next 7.5 seconds you put the next 10 balls in the barrel and then remove ball 3.. After this process completes ( 1 full minute passes) how many balls are left in the barrel?
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
Graph of the function - Get an accurate graph of the function.
Find the number of deer in the park
find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Explain the four-steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand? Please provide problems for the c..
You are given a list of n names (all of the names are distinct) with instructions to put them in alphabetical order. How many comparisons are necessary to accomplish your task?
Apply Stroke's theorem to evaluate the integral over C of (ydx + zdy + xdz), where C is the curve of intersection of the unit sphere x^2+y^2+z^2=1 and the plane x+y+z=0
Calculate the operating cost and probability values
Differentiate the function f(x) =
Evaluate the combination or binomial function in the completion 48 factorial over 37 factorial. The answer should equal to 22595200368.
Suppose I had a lemonade stand. When I charge $1, I sold 50 cups, when I raised the price to $2, I only sold 25 cups. Write an equation for the number of cups I sold as a function of the price i charged.
Find the probability of an alarm.
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