... the pKa is equal to the solution's pH value. The half-equivalency point can be found by first solving for the equivalency point. First, drawing two tangent lines to the flat portions of the pH curve can determine the equivalency point. Next, draw perpendicular lines to the two previous ... tangent lines. Find the midpoint on the perpendicular lines and then connect them by a line. The point where the line intersects the pH curve is the equivalence ... pH sensor logged the acidity of the solution, and the results were recorded. From the results, the equivalency and half equivalency points...

• Word Count: 1211
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• Grade Level: High School

... this limit is called the derivative of y with respect to x, evaluated at x = x0. The derivative of y with respect to x, at x = x0, may be interpreted as the slope of the tangent AT, and this slope is defined as the slope of the curve y = f (x) at x = x0. Further, the derivative of y with respect to x, at x = x0, may be interpreted ... similarly designated. Every application of differential calculus stems directly or indirectly from one or both of the two interpretations of the derivative as the slope of the tangent or curve and as the rate of change of the dependent variable with respec...

• Word Count: 2379
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• Grade Level: High School

... in telling about the disaster I thought to myself, while all of this was going on I was in class with my boy Lorenzo and Larry trying to figure out what the cosine of an angle was and then applying it to a right triangle to configure the hypotenuse, not even knowing that somewhere else beyond there, that there were also students in school ... ...

• Word Count: 572
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...  of Archimedes' spiral with inversion circle of radius 1 at center is the reciprocal spiral.   Archimedes' spirals as inverse to each other. The yellow curve is the inversion circle.   Nested Tangent Circles The tangent circles of Archimedes's spiral are all nested.   Because there is a linear relation between radius and the angle, the distance between the windings is constant. There are two classical mathematical ... ...

• Word Count: 1264
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• Grade Level: High School

... katedralene blir man slått av en storslagen følelse, og man kan godt skjønne at shopping fyller en funksjon som nrmer seg religionsdyrkelse. En av kjøpesentrene sine grunnleggende filosofier er at du skal finne alt du trenger innenfor fire vegger. Men dette er som alle vet bare tull. Handling i kjøpesenter er et sant inferno for fà ... ikke hadde unnet min vrste fiende, og da jeg hadde brukt like mye penger som Brutto nasjonalproduktet til en middels stat i Afrika, var Alexander ferdig. Han hadde oppnådd sine mål, og var klar til å dra hjem. Jeg var lykkelig da jeg satt...

• Word Count: 848
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• Grade Level: High School

... is l;ess dense. The next section is on Snell's Law. The law states that a ray of light bends in such a way that the ration of the sine of the angle of incidence to the sine of the angle of refraction is constant. This law came from the Dutch scientist Willebrord Snell, who discovered the relationship between the angle of incidence and the ... ...

• Word Count: 500
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• Grade Level: High School

... -wave duality led to another extremely strange for Newtonian physics concept "uncertainty principle. German physicist Werner Heisenburg proposed a theory that since a particle behaves like a wave of the wavelength , then a sine curve would not be able to describe the position of the particle because it extends from negative infinity to positive infinity. However, by adding many ... sine curves of different k, the result can become a "wave packet- that has almost no amplitude beyond a certain area . The more sines of different added, the less will be. There is a relationship ... ...

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• Grade Level: High School

... manus means to have the authority or control over another person, slave or wife, much like someone has the control over their property. There were two main forms of marriage - Sine manu, in this form, a woman would be able to stay under the control of her father. She would spend 3 days a year under the roof of her father's house. There was ... also Cum manu, this was when she would go under the complete control of her husband. Sine manu was the most popular form of marriage for middle class and wealthy women. In this form of marriage, the wife would be able to return to her father is .....

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• Grade Level: High School

... music scene cannot be denied, with a staggering 28 Billboard Hot Dance/Club Play No.1's, making her the most successful dance artist on the US Billboard charts. Let's have a brief review of the other records she holds: according to Guinness World Records, Madonna is the Most Successful Female Solo Artist. Selling ... The girls who emulated her style and adopted her attitudes during that period were known as "the wannabes". Madonna has not only conquered the pop charts and all those magazine covers, but also the left an indelible impact on music history, paving the way for artists like Spi...

• Word Count: 4622
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• Grade Level: High School

... agree that the Acidplanet rating system is highly inaccurate and inconsistent. Poorly produced songs make the top 10 list while excellent songs are never heard of. Why is this? The charts come from user reviews; we all know this and participate in this. What happens when inconsistencies enter into the user reviews? The inconsistencies leak into the ... to achieve this goal. Much of what was stated involved reviewing more honestly. This brings me back to my point from earlier, inconsistencies in our reviews cause inconsistencies in the charts. The idea of Acidplanet is to give young musi...

• Word Count: 1027
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• Grade Level: High School

... Invasion In 1964, the world's greatest rock and roll band invaded the United States. They are known as The Beatles. The Beatles stormed the U.S. charts and proceeded to make music history and become famous worldwide.(Eder 1) The Beatles are the most famous musicians in the world, and 1964 was their invasion ... Shortly after its release to the public on December 26, 1963, it was a number one request for many young teenagers on the radio, according to the Billboard Music Charts. It would only be two months after this that the Beatles would be appearing before a nation wide audience on The ...

• Word Count: 635
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... hood2. The airflow goes over the hood but then rises when it nears the windshield. Two Car Draft (#6 in lead) The velocity and pressure charts help to illustrate the principles of drafting. The approaching car interrupts the airflow on the back of the lead car. The approaching car raises the pressure ... on the lead car's spoiler. The velocity and pressure charts help to illustrate the flow of the air over the car. The decrease in velocity over the spoiler of the lead car will decrease the drag ... Side by Side: Two cars traveling side by side are slower because air is blocked from flo...

• Word Count: 3179
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• Grade Level: High School

... OK Computer (released in 1997) managed to reach number 21 on the Billboard Top 100. It was the highest the band had ever gotten on the US charts. They established a wide fan base as well, in the US and in their native soil, the UK. So, in 2000, when they announced they ... a Billboard flop didn't happen at all. Instead, on the first week after its release, Kid A sold 207,000 copies and hit number one on the Billboard charts. Its competition was two rappers, Mystikal and Nelly, and the punk rock band Green Day. It wasn't Radiohead territory at all, and they knew it. "I ... what about yea...

• Word Count: 2535
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... simpler because a blues song consist of only three chords. On the other hand Jazz is much more confusing. Fist of all, you must know how to read fake charts or chord changes. Fake charts Jazz book composed in musician's slang and symbols. The player must be able to interpret the symbols a play them correctly. For example a fake chart gives you the written ... the play the melody in the right hand and play the chord symbol with your left hand. In order the play fake charts your knowledge about should be well rounded. Improvising to jazz is difficult as well. Just like fake charts you hav...

• Word Count: 919
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... Hay developed hierarchical ranking of job levels of KH and assigned a value to each level through the use of his Weber based measurement scale. Hay guide charts: In addition to the KH, PS and AC guide charts, Hay provides additional compensable elements (ACE) chart for an organization wishing to recognize working or other environmental conditions relating to a job context. Hay recommends that ... job content measurement be treated separately from ACEs measurement and pay. The ACEs values should not be included in the total KH, PS and AC point scores. The Hay guide charts have both stand...

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• Grade Level: High School

... manslaughter on November 7, 2011, later receiving a four-year prison sentence. At the age of 13, Jackson launched a solo career in addition to his work with the Jackson 5. He made the charts in 1971 with "Got to Be There" from the album of the same name. His 1972 album, Ben, featured the eponymous ballad about a rat. The song became Jackson's first solo ... out on his own more. Teaming up with rock legend Paul McCartney, Jackson sang on their 1982 duet, "The Girl Is Mine," which nearly reached the top of the pop charts.The song also appeared on his next solo album, Thriller (1982), whic...

• Word Count: 1265
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• Grade Level: High School

Pop Rock has been around for decades with different cultural bands across the world. Back in the 1960's a British Pop Rock group from Liverpool hit top charts and number one hit singles with their albums. This band was named The Beatles. They visited many countries and cities on tour all over the world. They put a big impact ... lot of number one hits like "Love Me Do," "From Me To You," and "She Loves You." All of these hit singles went straight to number one on single hit charts. Also their album "Please Please me" went to number one on the top selling album chart. These hit singles and al...

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... future crime, as it acts as a deterrent for other criminals and prevents criminal (who are going to be released) from becoming repeat offenders.(charts can be found athttp://www.ojp.usdoj.gov/bjs/cp.htm) As the above charts show, whenever there are more executions and more prisoners on death row, violent crime is lowered. For example, look at the violent crime ... rate for 1993-1998. As you can notice, it is a steady decrease, and if you look at the charts for executions and prisoners on death row, there are obvious peaks. Therefore, whenever more criminals are executed, or are sentence...

• Word Count: 269
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... this date. The actual album itself "Thriller" won Jackson seven Grammies. Taking advantage of the tremendous success Michael did a duet with Paul McCartney titled " Say Say Say" which topped US charts for six weeks. In 1983 Pepsi-Cola offered Jackson the largest individual sponsorship deal in history. During 1984 the Jackson's went on a "Victory Tour" that made the greatest demand for ... the world tour to promote the album, he released a lacking autobiography accompanied by an overpriced feature film. Toward the end of 1991 "Dangerous" hit stores. This record once again topped-charts i...

• Word Count: 1150
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... They are expected growth rate, expected dividend payment, market interest rates, and the degree of risk held by the stock. Chapters 5 & 6 A. Technical analysis involves creating and analyzing stock charts. People that do this for a living are called chartists. According to Malkiel, chartists are worthless miserable people. They are worthless because their profession is pointless, and miserable because deep down ... inside, although they won't admit it, they understand that they are nothing more than erroneous expensive middlemen. Charts/chartists do nothing but try to predict the future...

• Word Count: 1077
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... tour outside the UK helped develop new fan bases in other parts of Europe and in the United States, where strong club shows helped propel Boy briefly onto the U.S. album charts. (Jackson 44) U2's second album still wouldn't place them anywhere noteworthy in the public's eyes. Their album, "October- was released in 1981 and was thought of as scattered. It is ... reassurance of peace. This song however wouldn't become a hit single, instead yet another highly political song, " New Year's Day- would become number 10 on the UK charts and cracking the top 50 of the US charts. They would still...

• Word Count: 4529
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... "Rapper's Delight," by Sugarhill Gang. A series of verses recited by the three members of Sugarhill Gang, "Rapper's Delight" became a national hit, reaching number 36 on the Billboard magazine popular music charts. The spoken content, mostly braggadocio spiced with fantasy, was derived largely from a pool of material used by most of the earlier rappers. The backing track for "Rapper's Delight" was supplied ... -hop culture to the mainstream of the American music industry as white musicians began to embrace the new style. In 1986 rap reached the top ten on the Billboard pop charts with "(...

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• Grade Level: High School

... not, the messages conveyed via the music videos. Today, I am going to critically analysis a clip that was a worldwide hit. Topped charts in the UK, US, and our Aria Charts. It also took out top spot in the End of year Aria charts in 1999. Since it's release, the tune of this song has also be adopted by an ex-popular children's icon, Bob ... ...

• Word Count: 910
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• Grade Level: High School

... December 16, 1966. The song was Hey Joe: Not an original but Jimi had turned it into something far beyond its original version. Hey Joe reached number six on the charts in two months. On March 1, 1967, their second single Purple Haze was released. Finally on May 12, 1967, Are You Experienced was released on Track Records in the U.K. The album ... never made number one on the U.K. charts: Due to the resent release of the Beatles album Sgt Pepper's Lonely Hearts Club Band. Three months later the U.S. version was released. It would reach number five on the ... charts. This book wasn't qui...

• Word Count: 958
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... never accepted as a female singer in the mid-60's. In 1970, Wagoner suggested she record a cover of Jimmie Rodger's "Mule Skinner Blues". The single shot to number three on the charts and started Dolly's solo career. She left her duet partner and struck out as a soloist and in 1974; she recorded her first number one single "Jolene". - From 1974-1980, Dolly ... recorded a duet with Tammy Wynette - "Two Story House" - Also in 1980, George recorded a number one single "He Stopped Loving Her Today" which pushed him back to the top of the charts and helped him begin a series of Top 10 hits a...

• Word Count: 1281
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• Grade Level: High School