Directed Line Segment: VECTORS • A line segment with direction is called a directed line segment. • If ‘A’ and ‘B’ are two distinct points in the space‚ then the ordered pair (A‚ B) is called as a directed line segment and is denoted by """""# . ! • In """""# ‚ ‘A’ is called initial point and ‘B’ is called terminal ! point of """""# . ! • The distance from ‘A’ to ‘B’ is called the length or magnitude of """""# . The length or magnitude of """""# ! ! is denoted by ’"""""# ’. Thus
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Positive and negative effects of winning the lottery Winning the lottery is something everyone wants. Rarely do people realize that there are also bad effects to having such a large sum of money. A good amount of people that win the lottery are foolish with their money‚ quit their jobs‚ or just don’t know what to do with it. The others that win make smart decisions in either investing their fortune‚ donating it to a good cause‚ or just helping their family be finically stable. Majority of people
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I. Objectives * Be able to prepare cyclohexene from the dehydration of cyclohexanol * Understand the mechanisms of the dehydration reaction (acid-catalyzed dehydration). * Know how to use the necessary equipment for this reaction‚ such as the fractioning column. * Obtain positive results in unsaturation tests for the presence of carbon-carbon double bond (cyclohexene). II. Background Cyclohexanol‚ the reagent of this experiment‚ is used in the production of nylon
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Bromination of Trans-Cinnamic Acid Christopher B. Martin CHEM 3411 1 Mechanism of Bromine Addition to Alkenes Understanding the chemical mechanism (order of bonds broken and made as well as intermediates formed) has a great value in chemical synthesis. The chemical mechanism of a reaction will influence the rate of the reaction‚ the stereochemistry of the product(s)‚ and the extent of possible undesired side reactions. Organic reaction mechanisms investigate the path towards a desired product
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Cryptarithmetic‚ also known as alphametics‚ ‚ crypt-arithmetic‚ Verbal arithmetic ‚ cryptarithm or word addition‚ is a type of mathematical puzzle in which most or all of the digits in a mathematical expression‚ such as a sum‚ are substituted by letters or other symbols. In a typical puzzle‚ there is a one-to-one correspondence between the numbers and the letters or symbols replacing them. That is‚ the same digit is always represented by the same letter or symbol. The objective of the puzzle is
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Addition of Force Vectors Abstract The purpose‚ of this experiment‚ was to prove that there is a relation between the magnitude of the resulting vector‚ and the angle between the vectors that are being added. The test was performed by creating a balance between three weights tied to strings on a pulley that transferred the string on top of a graduated disc‚ which made easy the measurement of the angles between them. After performing the experiment‚ my group concluded that there is a relation
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Addition and Subtraction of Integers Addition of Positive Integers Consider the addition of 2 + 3. The plus sign‚ +‚ tells us to face the positive direction. So‚ to evaluate 2 + 3‚ start at 2‚ face the positive direction and move 3 units forwards. This suggests that: Positive integers can be added like natural numbers. Addition of Negative Integers Consider the addition of (–2) + (–3). The plus sign‚ +‚ tells us to face the positive direction. So‚ to evaluate
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The Michael addition is a reaction named after Arthur Michael. Discovered in 1887‚ this is a carbon-carbon bond making reaction. The result of the Michael addition is a 1‚4 addition of a nucleophile to an alpha‚ beta-unsaturated carbonyl carbon compound. A 1‚4 addition is also commonly referred to as a conjugated addition. Another result of this reaction is a 1‚2 addition of a nucleophile. Some of the common attacking nucleophiles used in this reaction are enolates. Enolates‚ a negatively charged
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Chris Holet 7 – 20-12 Steriochemistry of Bromine Addition to trans-Cinnamic Acid Purpose: To carry out the addition of bromine to trans-cinnamic acid and to identify the product from its melting point. Molecular Structures and Chemical Reaction(s): Results and Calculations: Table of reagents Name Density (g/ml) Amount used Amount # moles Bromine (excess) Trans-cinnamic Acid 1.246 g/cm3 0.148g – do conversion Dichloromethane 1‚3266 g/cm3 -
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Paper 1 Abstract: • statistically significant shifts toward the extremes of the scales • (a) that group judgments are less extreme than individual judgments‚ and • (b) that the "risky shift" phenomenon is a content-bound exception to the averaging tendency of the group. • suggests that a normative commitment may be the underlying variable responsible for polarization effects. Paper 1 Introduction: • individuals in a social situation avoid expressing extreme opinions or judgments‚ •
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