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Draw a game tree for nim if the starting position consists of two piles with two and three stones, respectively. When drawing the tree represent by the same vertex symmetric positions that result from the same move. Find the value of each vertex of the game tree. Who wins the game if both players follow an optimal strategy?
What is the correct classification of the system of equations below?
You want to spend $400 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose?
What then is the chance that there will be a need for exactly 2 ambulances during that time slot on any given Wednesday morning?
create a variable ftemp to restore a temperature in degrees Fahrenheit (F).
If the mean for the exam was 58% and the standard deviation was 7%, what was Nicole's percentage mark?
With a yearly rate of 3 percent, prices are described as P = P0 (1.03)t, where P0 is the price in dollars when t = 0 and t is time in years. If P0 is 1.2, how fast are prices rising when t = 15?
Let G be a group and H be a non-empty subset of G. We define H^2 as the set of elements of G which can be written in the form h_1 h_2, with h_1 ,h_2∈H.
The five members of a band are gettin gnew outfits. Shirts cost $12 each, pants cost $29 each, and boots cost $49 a pair. What is the total cost of the new outfits for all of the members?
A rectangle has perimeter 78 feet, and its area is 360 sq-feet. Find the dimensions of this rectangle. (For purposes of this problem only, the width is shorter than the length.)
find two vectors in H whose sum is not in H, or find a vector in H with a scalar multiple that is not in H. Draw a picture.)
A code consists of 3 letters and then 3 digits. Any of the letters and numbers can be repeated. How many different codes are there?
A can of soda costs $0.10 in 1972 and $1.25 in 2012. Construct a linear model that can be used to predict the cost of a soda in a given year. b. Use your linear model to predict the cost of a soda in 2014
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