points 1) Solve the system of simultaneous linear equations . 2)Find the equation of the line that is perpendicular to the line with equation and that passes through the point with coordinates (2‚ 1). What is the perpendicular distance from the origin to the line with equation ? 3) Solve the inequality 2 4)Consider the vectors a = i − j + k‚ b = i + 2 j + 4k and c = 2i − 5 j − k. (a)Given that c = ma + nb where m‚ n ‚ find the value of m and of n. (5) (b)Find a unit vector‚ u‚ normal
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Expressions and Equations (7.1) Sec. 7.1 Simplifying Rational Expressions To reduce an algebraic fraction: factor first‚ then cancel _____________________________. 1. 4w3 28w 2 2. 27 a 3 33 3. y 2 7 y 18 y2 6y 8 19 Math 070 Chapter 7 Rational Expressions and Equations (7.2) Sec. 7.2 Multiplying and Dividing Rational Expressions To multiply algebraic fractions: factor first‚ next cancel __________________________ and then multiply across. 4. y2 9y 8 y4 2
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ADVERTISING TO GENERATION Y: Members of Generation Y : the demographic loosely defined as those born between 1980 on the early end and 2000 on the high end are truly the product of the turbulent times in which they were reared‚ and present a challenge for marketers who dare target this shrewd and‚ yes‚ narcissistic generation. You’ve heard that they don’t watch TV‚ and you’ve probably been told that they don’t read that much. Your research tells you that you can’t target them through MTV anymore
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Efficacy of Melgaco Equation in Predicting Permanent Mandibular Canine and Premolars width INTRODUCTION Mixed dentition is the period that includes both the primary and permanent dentition‚ begins at the age of 6 years with eruption of lower 1st permanent molar or lower permanent central incisor and ends with the eruption of 2nd permanent molar. It is necessary to perform mixed dentition analysis because it is used to calculate difference between the space available and space required by the tooth
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Structural Equation Modeling * A Conceptual Overview * The Basic Idea Behind Structural Modeling * Structural Equation Modeling and the Path Diagram A Conceptual Overview Structural Equation Modeling is a very general‚ very powerful multivariate analysis technique that includes specialized versions of a number of other analysis methods as special cases. We will assume that you are familiar with the basic logic of statistical reasoning as described in Elementary Concepts. Moreover‚ we will
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Continuity Equations Continuity equation is a equation that explain the transport of a conserved quantity. Since‚ mass‚ energy‚ momentum are conserved under respective condition‚ a variety of physical phenomena may be describe using continuity equations. By using first law of thermodynamics‚ energy cannot be created or destroyed. It can only transfer by continuous flow. Total continuity equation (TCE)‚ component continuity equation(CCE) and energy equation(EE) is applied to do mathematical model
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Rational Equations Rational equations can be used to get a general idea about the rate at which a job can be completed. This can be really useful for business owners and other areas of daily life. Here is an example: Scenario: Sue can paint the garage in 4 hours and Joe has carpal tunnel so he is slower and can paint the same garage in 6 hours. How long (number of hours) will it take Sue and Joe to paint the garage if they work together? Solution: Sue can paint of the garage in 1 hour. Joe
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Ascertaining Mathematics With Equations Jesse J. Oliver Jr. Mathematics 126: Survey of Mathematical Methods Professor Matthew Fife Thursday‚ January 24‚ 2013 Ascertaining Mathematics With Equations The abstract science of a number‚ quantity and space that can be studied in its very own right or as it may be applied to other disciplines and subject matters in several aspects‚ one considers to be that of mathematics. The problem of testing a given number for “primality” has been known to
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Section 1. The Archie Equation -water saturation as a decimal fraction. -Resistivity of the 100% water saturated rock. -Resistivity of the rock-fluid system. Equation 1.1 was empirically derived by G. E. Archie while working for Shell. This work was reported in in his famous 1942 paper. He plotted SW versus the ratio Rt/Ro (the Resistivity Index) on log-log paper‚ see Figure 1.1. This same technique is still used today to derive a value for n from core measurements
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of chemical notation that was invented in 181 by John Jakob Berzelius. The system is based on the law of definite proportions”‚ states that all samples of a given chemical compound have the same elemental composition. It is also a way of expressing information about the proportions of atoms that constitute a particular chemical compound‚ using a single line of chemical element symbols‚ numbers‚ and sometimes also other symbols‚ such as parentheses‚ dashes‚ brackets‚ and plus (+) and minus (−) signs
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