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In the two-player game of Two Stacks, a deck of cards (with the joker added, for a total of 53 cards) is randomly divided into two piles. The two players take turns removing cards from one pile or the other. On a player's turn, that player may remove any positive number of cards from a single pile. The object of the game is to remove the last card. Is there a strategy you could use that would ensure that you would win, no matter what the other player does?
The techniques for solving linear equations and linear inequalities are similar, yet different - Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference.
Problem on combination
a wheel whose radius is 1.5 was rolling without slipping along a horizontal surface. at a certain instant the angular
find a polynomial of degree 5 with real coefficients and i as a root of multiplicity 2 and the square root of 5 as a
a students grade in a course is the average of 4 test grades and a final exam that is worth twice as much as each test.
Make a graph for the quadratic function
Evaluate each function for the value specified. Write an inequality that shows the various number of hours you can work at each job.
Establish the values of k for which the binomial coe?cient p Ck is divisible by p when p is a prime number. Use your result and the method of induction to prove that np - n is divisible by p for all integers n and all prime numbers p. Deduce that ..
Using truth table for checking the equivalence.
Write 426 in expanded notation
Chicken pies cost $3 per pound, dried fruit $4 per pound and nuts $8 per pound . How many pounds of each should be used to produce 140 pounds of trail mix costing $6 per pound in which there are twice as many pretzels by weight as dried fruit?
To estimate gorilla populations, biologists count the total number of gorillas in a small section of their habitat. The total population of gorillas is directly proportional to the size of the habitat (in acres) polled.
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