POW 14 Christopher Manahan
Period 05
February 28, 2006
Problem Statement:
A very wealthy king has 8 bags of gold- all the gold in the kingdom, which he trusts to 8 of his most trustworthy caretakers; one bag to each caretaker. All the bags have equal weight and contain the same amount of gold, totaling all the gold in the kingdom. But one day, the king hears a story that a woman from another kingdom received a gold coin. The king knew it had to be his gold, because he owned all the gold in the kingdom. Someone was spending his gold! So he decided to find the lightest bag of the 8 using a pan scale to weigh the bags of gold.

The King expected that it would take 3 weightings to determine the lightest bag of gold, but the mathematician thinks the lightest can be determined in less. I need to find out the lowest number of times that the King will have to weigh his gold to determine the lightest bag.

Process:
I started by weighing 4 bags on each side of the scale to see which side was lighter. Then from those results, I thought to weigh the 4 bags that were on the lighter side by 2 and 2. After this you would find one side weighing less than another. Then you would take those results and weigh the 2 remaining bags and the lightest bag would be the bag that was taken from. However, the mathematician said it could be done in less than three steps. So throwing the answer I had just gotten to the side, I started new. This time I started with 3 bags on each side knowing that if two sides were equal than the bag with the missing gold would be one of the bags not weighed the first time. Then you would have to weigh the two remaining bags and whichever one was lighter than the other would be the bag with less gold. But if the 3 bags from the beginning weighed different then you would weigh 2 bags of the 3 and if they are equal in weight than the 3rd bag is the one with fewer coins. If they weigh differently, the lighter bag would be the one...

...gathered up all the gold in his land and put it into eight bags.He made sure that each bag weighed exactly the same amount. The king then chosed the eught people in his country whome he trusted the most,and gave a bad og gold to eahc of them to keep safe for him.On special occasions he asked them to bring the bags back so he could look at them.(He liked looking at his,even though he didnt like spending it.) One day the king heard from a foreign trader that someone...

...Pow14 imp 1.
conner Douglas
1. Problem statement.
A wealthy king has 8 bags of gold that gives to some of his most trusted friends. All the bags have the same weight and the same amount of coins in the bags is all of the gold in the kingdom. Although, the king herd that a local woman received a gold coin. The king knew that it had to be one of his coins so he wanted to find the lightest bag in 3 weightings. But...

...Mega POW
A very wealthy king has 8 bags of gold, which he trusts to some of his caretakers. All the bags have equal weight and contain the same amount of gold, all the gold in the kingdom. Although, the king heard a story that a woman received a gold coin. The king knew it had to be his gold so he wanted to find the lightest bag in the 3 weighing, but the mathematician thought it could be done in less, so I...

...The youth culture is influenced by many things each and every day. The society, parents, care givers; all of these help influence youth. But the most important factor to help give the a visual of what teenagers are today are in fact films. You are left wondering how films help influence the teenage race? The cinema of adolescence brings an image of youth, Juno (2007), The Breakfast Club (1985) all encounter specific stereotypes which encourage teenagers. The youth culture is influenced by...

...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...

...Ian deGrouchy
Mrs. Psitos
Math IMP 2H
18 December 2007
Growth of Rat Populations
This POW is about the growth of a rat population over a year. Two rats, one male and one female, are put on an island that has ideal conditions for rats. The female rat has a litter of six rats the first day, and will have a litter every forty days after that. There are three important things to remember, and they are that the number of rats in every litter is six, three females and...

...POW 15 Growth of rat populations Problem Statement This problem is composed of the growth of a rat population over the course of one year from 2 rats. Four assumptions for this problem were made: Each new liter is composed of 6 rats; 3 males, 3 females. The original pair give birth to 6 rats on the first day and then ever 40 days after. There is a 120 day "gestation" period before a newborn rat can reproduce. After this gestation period the rats will give birth every 40 days....

...Gp[;’666“I am very afraid [sir], that your greatest test is yet to come.” The King’s Speech (2010) presents a protagonist driven by a sense of duty. What kind of ‘victory’ does Hooper suggest trough the staging of his final speech?
A victory is a triumphant action of achieving a goal or defeating an enemy. Whether this enemy be another country or a personal fault, an achievement is significant in it’s own way. The King’s Speech (2010) is a story of an under...

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