9/12/10 IMP POW Linear Nim In this POW‚ we had to play a game called Linear Nim. In this game‚ we drew 10 lines on a paper‚ and we had to take turns crossing out 1‚ 2‚ or 3 of the marks. The person that crossed out the last mark was the winner. The first task of this POW was to find a winning strategy for this game. After we found this out‚ we were supposed to make variations to the game‚ for instance starting with more or less marks‚ or allowing a player to cross out more or less marks. We were
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“A Sticky Gum Problem” POW 4 Problem statement: The next scenario is very similar. In this one‚ Ms. Hernandez passed a different gumball machine the next day with three different colors Once again her twins each want a gumball of the same color‚ and each gumball is still one cent. What is the most amount of money that Ms. Hernandez would have to spend in order to get each of her daughters the same color gumball? In the last scenario‚ Mr. Hodges and his triplets pass the same gumball machine
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POW:6 The Haybaler Problem Problem Statement: You bought 5 bales of hay but they weighed them in pairs not individually like they used to. The bales of hay could be matched up in any combination like‚ 1 and 2‚ 1 and 3‚ 1 and 4‚ and so on. The salesperson did not keep track of the weight of each bale of hay. Your job is to find out the weight of each bale of hay using combinations‚ 80‚ 82‚ 83‚ 84‚ 85‚ 86‚ 87‚ 88‚ 90‚ and 91. Remember there are 5 punkins and you can only make combinations of 2.
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Touchdowns = 3 pts. I did the same as above. 3‚6‚9‚12‚15‚18‚21‚24‚27 I looked at the patterns and knew that if the team only scored field goals they would go up by 5 pts. each score. If the team only scored touchdowns they would go up by 3 pts. each score. I decided that I was going to keep looking for patterns in the numbers for different combanations ex. one field goal the rest touchdowns. To keep track of the patterns i was going to make a chart 1-100 of all the patterns and numbers. 1 2 3 4 5 6
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IMP POW 1: The Broken Eggs Problem Statement: A farmer’s cart hits a pothole‚ causing all her eggs to fall out and break. Luckily‚ she is unhurt. To cover the cost of the eggs‚ her insurance agent needs to know how many she had. She can’t remember the number‚ but can remember some problems she had when packing the eggs. When she put the eggs in groups of two to six eggs‚ there was always one left over. However‚ in groups of seven‚ there were none left over. From what she knows‚ how can she figure
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number of ways to determine which item has a greater or lesser value. Process From the previous POW it was concluded that it would take 5 weighings as described by the equation for an unknown item value: However‚ this is an overestimate as there is a way to determine the lighter of nine items with only two weighings. This was overlooked in the last POW (Eight Bags of Gold). Nine items can be weighed by dividing into three sets of size three. Comparing two sets together would
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POW Problem Statement A. A farmer is going to sell her eggs at the market when along the way she hits a pot hole causing all of her eggs to spill and break. She meets an insurance agent to talk about the incident‚ and during the conversation he asks‚ how many eggs did you have? The farmer did not know any exact number‚ but proceeded to explain to the insurance agent that when she was packing the eggs‚ she remembered that when she put the eggs in groups of 2-6 she had even groups with 1 left over
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Vapor deposition modeling for an entrenched wafer geometry L. J. Willett‚ S. K. Loyalka‚ and R. V. Tompson Citation: J. Vac. Sci. Technol. A 17‚ 212 (1999); doi: 10.1116/1.581575 View online: http://dx.doi.org/10.1116/1.581575 View Table of Contents: http://avspublications.org/resource/1/JVTAD6/v17/i1 Published by the AVS: Science & Technology of Materials‚ Interfaces‚ and Processing Related Articles Investigation of arsenic and antimony capping layers‚ and half cycle reactions during atomic layer
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POW 16: Spiralaterals Problem Statement: Spiralaterals-a spiralateral is a sequence of numbers that forms a pattern or a spiral like shape. Spiralaterals can form a complete spiral-like shape or it could form an open spiral that never recrosses itself or return to it ’s original starting point. To make a spiralateral: Each spiralateral is based on a sequence of numbers.To draw the spiralateral‚ you need to choose a starting point. The starting point is always "up" on
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month at noon. At the same time a ship leaves New York for san Francisco. Every ship arrives exactly 6 months after it leaves. If you were going to San Francisco from New York How many ships from San Francisco would you meet? I assumed that entering and exiting the harbor does not count as meeting a ship. I also assumed that there was already (only) one ship at see and that it had traveled 3 months when the main ship leaves. Process: My first thought were ‘‘ok lets draw a picture” they were
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