Chris Hogan 12/10/12 p. 3 Chapter 4 paper In this chapter one of the first things we learned was that you can make complex equations look simpler by making substitutions. Take the equation: 2tan2-3tan-2=0 To make this look simpler you can substitute u for tan to get: 2u2-3u-2=0 From there you can us the quadratic formula to get: u= -0.5‚ 2 With this you can now say tan=2 and tan=-0.5 which makes solving for much easier. In this case substitutions made solving much easier and less
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LESSON PLAN IN MATHEMATICS FOR GRADE-FOUR By: Clairy Faith C. Sinohon BEED-SPED 3x4 I. OBJECTIVES At the end of a 45-minute period‚ the grade four pupils will be able to: 1. Add and subtract fractions with the same denominators‚ 2. Add and subtract fractions with dissimilar denominators. II. SUBJECT MATTER ADDING AND SUBTRACTING OF FRACTIONS A. References Elementary Mathematics 4‚ page 53-56. B. Materials
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A Golden Age is a period when peace and prosperity flourish throughout a civilization. Many civilizations and cultures throughout history have experienced a Golden Age; advances were made in many different fields such as philosophy‚ architecture‚ and education. Fifth century Athens and the Gupta Dynasty not only advanced in those fields during their Golden age but also in medicine‚ government‚ and mathematics (which is still influencing the modern world). Fifth century Athens made a big influence
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Laboratory Report Rough Draft Format (This will be the written rough draft for the final type written laboratory report. This format must be followed for the final typed draft!!! Each section of the report must be labeled and numbered as shown below. What is written in parentheses are prompts and are not to be typed in the final draft!! There is a template on the class website (www.schoolrack.com/owtsscience/) to be used throughout the year to write future laboratory reports. It is also
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Maths Notes Maths Notes for Shear and Stretch Stretch • The transformation consists of:o o • The invariant line Scale factor For stretch‚ the transformation takes place perpendicular to the invariant line. • Scale factor(K) = 4 3 2 1 -2 -1 0 -1 -2 -3 1 2 3 = Y 4 X Invariant line In the above example‚ the x-axis is the invariant line and the object lies on (1‚1). Thus‚ =1 The scale factor is given to us as K = 3 1 Maths Notes Thus‚ acc. to the formula given
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PROVING IDENTITIES Proving Identities Proving an identity is simply verifying that one member of the equation is identically equal to the other member. It is important to know that there is no general rule in proving an identity. The proper choice of the fundamental identities and algebraic operations will certainly make the verification process easier. Mathematical competence and familiarity with the fundamental identities are the basic tools that will greatly facilitate the transformations
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ECON 305 Part one #1. US This figure is a scatterplot of the change in the unemployment rate on the horizontal axis and the percentage change in real GDP on the vertical axis. Each point present one year. The figure shows the increase in unemployment trend to assoiated with lower-than-normal growth in real GDP. The correlation between these two variable is -0.085. I also found that when unemployment increases‚ real GDP decreases. This obeys Okun’s law. Comepare 1970-2013 period to 1949-2013
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[pic] |JUBAIL INDUSTRIAL COLLEGE | | DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING TECHNOLOGY | |SEMESTER: 281 | |EEE331 : DIGITAL SYSTEM DESIGN
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Foosball Tips You have bought a foosball table for your gaming room. Now after playing some matches with it‚ you will realize about different ways to be better than your opponents. If you have idea about the basic rules only‚ you will never be a professional on the field of foosball table. You should know some of the foosball tips. These tips are the ones that help you to win matches on a regular basis. If you think that the foosball game is all about spinning the rods‚ you are not correct. The
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There are many things required to join the marines. First‚ the ASVAB. The ASVAB stands for Armed Services Vocational Aptitude Battery. The ASVAB determines whether or not you have what it takes to join the military in four sections. One of four sections is arithmetic reasoning‚ this is the ability of solving word problems. Second of four is word knowledge‚ is a vocabulary test. Third of four is paragraph comprehension‚ Questions about a short informative script of writing. Last one is mathematics
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