four. iii) Factorise x2 – 49 iv) Factorise 16x2 - 9 v) Factorise x2 – 7x + 12 vi) Solve x2 -7x + 12 = 0 vii) The first term of an arithmetic sequence is 8 and the common difference is 7. The nth term is 393. Find the value of n. viii) A geometric sequence has first term 2 and third term 32. Find the common Ratio. ix) Find the sum of the first 12 terms for the same sequence. x) There are 25 students in a class. 17 study French‚ 12 study Malay and 10 study both languages. Show this information
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1. A line passes through the points (–3‚ –3) and (–1‚ 3). What is the slope of the line that passes through the two points? Hint X -3 -1/3 3 1/3 2. A line passes through the points (3‚ –4) and (7‚ 12). What is the y-intercept of the line? Hint X (0‚ 4) (4‚ 0) (0‚ –16) (–16‚ 0) 3. Consider the following system of equations. y = 8x - 8 y - 8x = 7 What can you conclude about the system of equations? Hint X The system of equations is inconsistent. The system
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1 “Arithmetic vs. Geometric Means: Empirical Evidence and Theoretical Issues” by Jay B. Abrams‚ ASA‚ CPA‚ MBA Copyright 1996 There has been a flurry of articles about the relative merits of using the arithmetic mean (AM) versus the geometric mean (GM). The Ibbotson SBBI Yearbook took the first position that the arithmetic mean is the correct mean to use in valuation. Allyn Joyce’s June 1995 BVR article initiated arguments for the GM as the correct mean. The previous articles have centered
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Johnson‚ D.G. “Population‚ Food‚ and Knowledge.” American Economic Review 90 (2000): 1-14. When judging the current state of the world‚ one can examine many different aspects. Some such aspects include people‚ agriculture‚ and advancement of knowledge. These areas can help one better understand where the world has been‚ where it is currently at‚ and where it will be in the future. This kind of study is necessary so as to ensure that the future of the world will be positive‚ and not deteriorate
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An Economist ’s Perspective He was sent to Oxford by the age of twelve‚ to study law as his father did. In 1748 Jeremy Bentham was born to a London attorney and his wife. However‚ Bentham ’s attention turned to law reform while at college and was opposed to practicing law (The Concise Encyclopedia of Economics‚ 2008). His interests became devoted to studying and writing‚ many times spending several hours a day writing. Even though Bentham wrote a great deal in his lifespan‚ several of his works
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Erie‚ PA 16563 ABSTRACT - In industrial practice‚ position is the most widely used geometric tolerancing characteristic. A thorough understanding of the concepts associated with position tolerancing is‚ therefore‚ an essential skill that graduating engineering and engineering technology students should possess. In the Mechanical Engineering Technology program at Penn State Erie‚ The Behrend College‚ geometric dimensioning and tolerancing (GD&T) skills are introduced to students during an advanced
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Lesson Plan Name: Geometric Solids Content Area: Math Grade Level: Kindergarten Time Frame: 45 min Prior to this lesson the students had a lesson on attributes. The children defined and identified attributes in different two-dimensional shapes. MA Framework Standard: Geometry K.G Identify and describe shapes (squares‚ circles‚ triangles‚ rectangles‚ hexagons‚ cubes‚ cones‚ cylinders‚ and spheres). 2. Correctly name shapes regardless of their orientations or overall size. Identify
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“Malthusian views of the relationship between population and food remain relevant today.” Discuss this statement. According to Malthusian theory of population‚ population increases in a geometrical ratio‚ whereas food supply increases in an arithmetic ratio. This imbalance would lead to widespread poverty and starvation‚ which would only be checked by natural occurrences such as disease‚ high infant mortality‚ famine‚ war or moral restraint. However‚ this theory is wrong in circumstances now
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Is Overpopulation a Serious Problem? This question seems to be question that is asked quite frequently lately. In the last two centuries‚ population has skyrocketed. In 1800 the world population was only at 1 billion‚ and today it’s estimated that the world population exceeds six billion people. With overpopulation‚ many problems have arisen. Some believe that overpopulation is the reason for world hunger‚ global population will reach crisis proportions by 2050‚ and some believe that overpopulation
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Geometric Dimensioning and Tolerancing for Mechanical Design Answer Guide (Answers to the questions and problems at the end of each chapter) Geometric Dimensioning and Tolerancing for Mechanical Design Answer Guide 2 Chapter 1 Introduction to Geometric Dimensioning and Tolerancing Chapter Review Page 7 1. Geometric Dimensioning and Tolerancing is a symbolic language used to specify size ‚ shape ‚ form ‚ orientation‚ the and location of features on a part. 2. Features toleranced with GD&T reflect
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