Simplification The process of cancelling (reducing) e.g. ‚ **e.g.1 remember that exponents are subtracted Clearing one of the most common errors‚ an important “cancellation” rule: only factors may be cancelled Factors multiply‚ terms add and subtract First count terms … > 1 term means that there is only 1 factor‚ the whole expression. **e.g.2 1. 1 term‚ 3 factors 2. 2 terms‚ 1 factor 3. 2 terms‚ 1 factor‚ BUT … 1 term‚ 2 factors 4. 1 term‚
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The Concept of Prime Numbers and Zero MTH/110 March 14‚ 2011 The Concept of Prime Numbers and Zero Have you ever wondered about the origins of prime numbers or the numeral zero? The ancient philosophers and mathematicians from such early civilizations in Egypt‚ Greece‚ Babylon‚ and India did. Their efforts have provided the basic fundamentals for mathematics that are used today. Prime Numbers A prime number is “any integer other than a 0 or + 1 that is not divisible without a remainder
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Antons Trifonovs HW 1‚3‚4‚5‚7 9/29/2014 1. Variable Costs CD package and disc (direct material and labor per CD)---- $1.25/CD songwriters royalties $0.35/CD recording artist royalties $1.00/CD Total Variable Costs per Units = $2.60 Fixed Costs advertising and promotion $275‚000 studio recording overhead $250‚000 Total Fixed Costs = $525‚000 a)contribution per CD unit $9 - $2.60 = $6.40 b)break-even volume in CD units and dollars 525‚000 / 6.40 = 82‚031.25 units
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Printable Cheat Sheet Mana Potential: The maximum amount of mana your deck can produce in ideal circumstances. Mana Percentage: number of lands + number of land search spells/effects + number of creatures‚ artifacts‚ enchantments‚ instants and sorceries that produce mana = Mana Percentage. Mana Density: Mana Percentage - lands found by mana search cards - lands with a non mana primary job - cost of those abilities IF they are recurring - cost of activated abilities = Mana Density. Turn
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3 Most Important Aspects Positive Leadership C-4 Positive Communication • There is a positive correlation between high performing organizations and the use of positive communication within that organization o Justification From the study presented in the article‚ the single most important factor in predicting organizational performance was the ratio of positive statements to negative statements. In the predictive studies of successful marriages by Gottman‚ the best predictor of the sustainability
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Propositions The fundamental objects we work with in arithmetic are numbers. In a similar way‚ the fundamental objects in logic are propositions. Definition: A proposition is a statement that is either true or false. Whichever of these (true or false) is the case is called the truth value of the proposition. Here are some examples of English sentences that are propositions: ‘Canberra is the capital of Australia.’ ‘There are 8 days in a week.’ ‘Isaac Newton was born in 1642.’ ‘5 is greater
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Write your name here Surname Other names Edexcel Certificate Edexcel International GCSE Centre Number Candidate Number Mathematics A Paper 1F Foundation Tier Friday 11 May 2012 – Afternoon Time: 2 hours Paper Reference 4MA0/1F KMA0/1F You must have: Total Marks Ruler graduated in centimetres and millimetres‚ protractor‚ compasses‚ pen‚ HB pencil‚ eraser‚ calculator. Tracing paper may be used. Instructions Use black ink or ball-point pen. Fill in the boxes
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NATIONAL SENIOR CERTIFICATE GRADE 11 MATHEMATICS P2 EXEMPLAR 2013 MARKS: 150 TIME: 3 hours This question paper consists of 12 pages and 3 diagram sheets. Copyright reserved Please turn over Mathematics/P2 2 NSC – Grade 11 Exemplar DBE/2013 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of 11 questions. 2. Answer ALL the questions. 3. Clearly show ALL calculations
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22. Conditional- if it is a line then it contains at least two points Inverse- if it is not a line then it does not contain at least two points Converse- If it contains at least two points then it is a line Contrapositive- if it does not contain at least two points‚ then it is not a line 23. Conditional- If there are 3 noncollinear points‚ then there is exactly one plane Inverse- if there are not exactly 3 collinear points‚ then there is not exactly one plane Converse- if there is exactly one
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Mathematical Database MATHEMATICAL INDUCTION 1. Introduction Mathematics distinguishes itself from the other sciences in that it is built upon a set of axioms and definitions‚ on which all subsequent theorems rely. All theorems can be derived‚ or proved‚ using the axioms and definitions‚ or using previously established theorems. By contrast‚ the theories in most other sciences‚ such as the Newtonian laws of motion in physics‚ are often built upon experimental evidence and can never be
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