Freddie Short has a new shortcut to find the area of any polygon on the geoboard that has no pegs on the interior. His formula is like a rule for an In-Out in which the In is the number of pegs on the boundary and out is the area of the figure.

Sally Shorter has a shortcut for any geoboard polygon with exactly four pegs on the boundary. All you have to tell her is how many pegs are in the interior and she can use her formula to find the are immediately.

Frashy Shortest says she has the best formula in which you make any polygon on the geoboard and tell her both the number of pegs in the interior and the number of pegs on the boundary and her formula will give you the area immediately.

Your goal in this POW is to find Frashy’s super formula but tou might want to begin with her friends formulas.

1 Begin with Freddy’s formula

a. Find a formula for the area of polygons with no pegs in the interior. The number of boundaries is the In and the Out is the area in the In-Out table.

b. Find a different formula that works for polygons with one peg in the interior.

c. Pick a number bigger than one and find the area with that number of pegs in the interior.

d. Do more cases like question c

2.Find Sally’s formula and others like it, as described in 2a through 2c.

a. Find a formula for the area of polygons with exactly four pegs on the boundary.

b. Pick a number either than four and find the area of polygons with that number of pegs on the boundary.

c. Do more cases like of 2b

When you have finished work on Questions 1 and 2, look for a super formula that works for all figures. Your formula should have two inputs and the output should be the area.
Question #1 a-d

a. I first started creating polygons on my geoboard paper with no interior pegs and found the number of exterior pegs and the area. After creating 6 shapes on my geoboard paper I created an in-out table.

...Jordan Hunt P.3
POW Write Up; JustCount the Pegs
Problem Statement:
For the POW: JustCount the Pegs, I had to try and find the best formula possible for finding the area of any polygon on a geoboard. There are 3 different formulas you have to find. The first two are formulas that will combine together and help you find the best or “superformula”. In order to find the first two, you will make in and out tables. You will find the pattern and then come up with a formula for it. For the first part, you have to find a formula that works for polygons with one peg in the interior. For the second one you have to find the formula for the area of polygons with exactly four pegs on the boundary. Using both of these, you then find a formula that will work for any polygon.
Process:
I started off by figuring out Freddie and Sally’s formulas. I had to find these two first in order to find the “superformula.”
In | Out |
3 | .5 |
4 | 1 |
5 | 1.5 |
I completed Freddie’s first. Freddie’s was the easiest to find because it was a technique I had used, without really knowing it. I started out by drawing a simple in and out table. In or x was the number of pegs on the boundary of the polygon. The out or y was the area of the figure. Then I made multiple polygons on geoboard paper. I...

...Problem Statement
My task was to find 3 equations, that would give me an answer, if I had certain information. The first was to find one that if you knew that there were four pegs on the boundary, and none on the interior, you could get the area. The second was if you knew that there were 4 pegs on the boundary, and you knew how many were on the interior, you could get the area. And last, if you had the number on the interior, and the number on the boundary, you could get the area.
Process
The first two equations, were a preparation for the final, building up towards the complete idea. This helped, because I could complete the first two pretty quickly.
For Freddie I drew a 3 column T-Table, with a drawing of the figure, the number of Pegs (in), and the Area (out). I looked for a pattern between the in and the out, and quickly found one that made sense, and I worked it into a formula. I got X/2-1=Y. Where X is IN (number of pegs) and Y is OUT (Area). This works in all shapes with no interior pegs, like Freddie described. I attached this T-Table.
For Sally I followed my luck of the 3 column T-Table, and drew another with the same guidelines. The figure, the interior pegs (in), and the area (out). After I filled in a few figures, and their properties, I noticed a pattern, and not long after, a formula, which worked for them. It was X+1=Y. This T-Table is also attached.
Now...the...

...POW8
Problem Statement-
For this POW, our task was to find the best formula for finding the area of any polygon that is formed on a geoboard. In order to do this, there are two formulas given to help you. One tells how to get the area of a polygon based on the number of pegs on the boundary. This works as an In-Out table, where In is the amount of pegs on the boundary, and Out is the area. The other formula tells how to get the area by having a polygon with exactly four pegs on the boundary. All you do is tell her how many pegs are on the inside. Using her formula, she can give you the area immediately. Using these two formulas for reference, we have to find a formula that anyone can use to find the area of any polygon by knowing the number of pegs on the boundary and interior.
Process-
The first two equations by Freddie and Sally were a preparation for the final, building up the information in order to find the "superformula".
For Freddie's equation, I drew an In-Out table, with the number of pegs on the boundary for the In/x value, and the area of the polygon for the Out/y value. With this table set up, I made some different polygons on geo-paper (attached), and plugged them into the table. I found the area for all of them by looking at the figure. However, just looking at the figure was not very accurate, so...

...Toyota: Sudden Acceleration or Bad Drivers or Pesky Floor Mats?
Introduction and History of SUA
Audi barely survived its sudden-acceleration problem in the 1980s, When about 1,000 Audi 5000 owner said their cars were suddenly accelerating. Audi would issue five recalls on the cars before it and the National Highway Safety Traffic Administration (NHSTA) were able to conclude that it was driver error, the accidental placement of the foot on the accelerator instead of the brake. However, there were dissenters among the causation teams. The dissenters felt that there was indeed a problem with sudden unintended acceleration (SUA) that could be solved only with the installation of a shift-interlock system, something the NHTSA was not willing to mandate on the basis of the Audi or isolated SUA cases that followed. However, SUA would reemerge in 2007 as another auto maker, Toyota experience the mysterious phenomenon.
Toyota’s Issues Begin
The Audi SUA problem unfolded quickly and furiously and quite nearly destroyed a brand. The problems with Toyota’s cars and sudden acceleration progressed like a slow simmer of soup on a stove, One bubble would pop up, but then there was quite. For example, in 2007, Bulent and Anne Ezal drove their 2005 Toyota Camry to the Pelican Beach Restaurant in Pismo Beach, California. The restaurant is on a cliff that overlooks the Pacific Ocean. Mr. Ezal was applying the brakes as he drove the car down the steep grade to its parking lot...

...
One of the latest gay marriage rights support polls I found online recorded that 41% support gay marriage, 47% oppose to it, and 10% were unsure. Another way I think about it, there are about 584,391 openly gay couples and over 1.2 million single gays here in America. Gay marriage should be legal in all states because it is in no way detrimental to our government or our society. Its unethical and immoral to allow only some Americans that right, marriage is a constitutional right not a privilege. I support gay marriage except I just call it marriage. I took a nap today, not a gay nap. I went to school this morning, not to “gay” school, just school. "Regular" marriage and "Gay" marriage are like bikini tops and bras. The exact same thing, but only one is allowed in public.
There are many reasons why we have the Bill of Rights and one of them is to create equal protection amendments. Denying marriage to a homosexual couple is not anymore different than denying marriage between a Hispanic, Black or any other minority couple. Rejecting homosexual couples is a violation of religious freedom and minority discrimination. What right does the government have to say in who can’t get married? Would you like it if people vote for your marriage? I didn’t think so, its obviously unfair for strangers that have never met you in your life to chose your future. Its very likely and very much proven through evidence and research that homosexuality is...

...
Log on to the web site for the Centers for Disease Control Flu site.
http://www.cdc.gov/flu/
On the right side of the page of, there is a USA map. Click on the USA maps to answer the following questions.
List a few states that currently have only local activity?
District of Columbia and Alaska
What states if any have widespread activity?
Widespread influenza activity was reported by Guam and 46 states (Arizona, Arkansas, California, Colorado, Connecticut, Delaware, Florida, Idaho, Illinois, Indiana, Iowa, Kansas, Kentucky, Louisiana, Maine, Maryland, Massachusetts, Michigan, Minnesota, Mississippi, Missouri, Montana, Nebraska, Nevada, New Hampshire, New Jersey, New Mexico, New York, North Carolina, North Dakota, Ohio, Oklahoma, Oregon, Pennsylvania, Rhode Island, South Carolina, South Dakota, Tennessee, Texas, Utah, Vermont, Virginia, Washington, West Virginia, Wisconsin, and Wyoming).
What is Indiana’s status?
Widespread activity
Click on the world map.
What is the international situation right now?
In Europe influenza activity was still low, but the season seemed to have started.
In eastern Asia, influenza activity increased with influenza A(H3N2) virus predominated.
In northern and western Africa influenza activity increased with influenza B virus predominant.
In tropical countries of the Americas, influenza activity increased in some countries of the Caribbean, decreased in Central America and was low in the tropical countries of South America.
In...

...Persistence uery Language
2) Named query
3) uery object
4) Native query
Solution : 1
--------------------------------------------------------
7) What requirement does the GROUP BY clause impose on the SELECT clause?
1) Item that appears in the SELECT clause including the arguments to an aggregate function must also appear in the GROUP BY clause.
2) Item that appears in the SELECT clause other than as an argument to an aggregate function must also appear in the GROUP BY clause.
3) Item that appears in the GROUP BY clause must also appear in the SELECT clause.
4) Item that appears in the SELECT clause should not appear in the GROUP BY clause.
Solution : 2
--------------------------------------------------------
8) Which of the following methods will you use to control the start position of the result set in a query?
1) setFirstResult(int startPosition)
2) SetFirstResult(int startPosition)
3) startPosition()
4) setParameter(int startPosition)
Solution : 1
--------------------------------------------------------
9) Which of the following L statements operates on the underlying persistence store such as database?
1) SELECT
2) UPDATE
3) DELETE
4) WHERE
Solution : 1
--------------------------------------------------------
10) Which of the following callback annotations can be used to designate a callback method defined in an entity class?
1) PostConstruct
2) PreDestroy
3) PostActivate
4)...

...Abstract
Following the Paris Peace Accords, Operation Homecoming returned 591 American prisoners of war (POWs) to the US. At the time, over 1,300 prisoners were listed as missing in action (MIA). An additional 1,200 were killed in action (KIA) and body not recovered. In the ensuing 20 years, activist groups pushed the American government to look into the matter, and several investigations were launched. While no governmental investigation has determined that AmericanPOWs were left behind, there remains considerable evidence that the POW MIA issue contains validity.
The Agreement on Ending the War and Restoring Peace in Vietnam was signed on January 27, 1973. This document, finalized during the Paris Peace Accords, signaled the end of the United States’ involvement in the Vietnam War. The Democratic Republic of Vietnam (North Vietnam), the Republic of Vietnam (South Vietnam), and the Provisional Revolutionary Government (representing various South Vietnamese insurgents) joined the US in signing this historic treaty. The agreement called for the release of US prisoners of war, along with assistance in recovering and transporting home the remains of deceased soldiers. Due in large part to a lack of reliable intelligence in North Vietnam, the US government never knew truly how many prisoners of war were held.
In the years since the war ended, there has been substantial evidence to indicate that many prisoners were left...

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