Exploration of Lacsap’s Fractions The following will be an investigation of Lacsap’s Fractions‚ that is‚ a set of numbers that are presented in a symmetrical pattern. It is an interesting point that ‘Lacsap’ is ‘Pascal’ backwards‚ which hints that the triangle below will be similar to “Pascal’s Triangle”. 1 1 1 1 1 1 1 1 1 1 There are many patterns evident in this triangle‚ for instance I can see
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Annotated Instructor’s Edition Elementary and Intermediate Algebra Third Edition George Woodbury College of the Sequoias Addison-Wesley Boston Amsterdam Delhi Columbus Indianapolis London New York Madrid San Francisco Milan Munich Seoul Upper Saddle River Paris Montreal Taipei Toronto Tokyo Cape Town Mexico City Dubai Sao Paulo Sydney Hong Kong Singapore Editorial Director: Christine Hoag Editor in Chief: Maureen O’Connor Acquisitions Editor: Dawn Giovaniello Executive Project
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prepares students to take the International Baccalaureate Mathematics exam at the Standard level. | |Topics include operations and properties of number sets; trigonometric functions‚ equations‚ and graphs; algebra and coordinate geometry; | |simultaneous linear equations; polynomial and quadratic functions and equations; calculus‚ including bilinear‚ exponential and logarithmic | |functions; two dimensional vectors and matrices; and probability.
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PROPORTION METHOD The proportion method is used in both of these expressions. A proportion is an equation that says that two ratios are equivalent. The use of cross multiplying is in use in both expressions as well. I believe the first expression (#56) uses the extreme-means property; the product of the means is equal to the product of the extremes. #56. To estimate the size of the bear population on the Keweenaw Peninsula‚ conservationists captured‚ tagged‚ and released 50 bears
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given expressions. A) A^3 – B^3 (7^3) – (-2^3) 343-(-6859) =7‚202 This is the given expression with VARIABLES A and B and raised to the EXPONENTS of 3 on each of them. By substituting the integers in the variables and raising them to the 3rd power gives the answer of B) (a – b)(a2 + ab + b2) (7-(-19) (7^2+(7)(-19)+(-19^2) (26) (49-133) + 361 (26)(277) =7202 C) ( b-c )/ (2b- a) :-This expression uses all three variables: a‚ b‚ and c. C) (b-c) this equation takes
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Directions: Answer the questions below. Make sure to show your work when applicable. 1. Solve the absolute value equation. Check your solutions. | 5x + 13| = –7 5x + 13 = -7 5x = -20 X = -4 2. Simplify the expression below. 6n2 - 5n2 + 7n2 6 – 5 + 7 = 8 =8n2 3. The total cost for 8 bracelets‚ including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet. 8 x + 6 = 54 $8.00 each bracelets 4. The total cost for 8 bracelets
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is inversely proportional to x‚ then or where is a constant and . k is known as the constant of proportionality where (‚) and (‚) are two pairs of values of and 2. Expansion and Factorisation of Algebraic Expression Expansion Expansion of algebraic expressions requires the use of removal of brackets. (ie: Rainbow method) Ensure that you have written down the correct sign for the terms Factorisation Factorisation is the reverse process of expansion. *To check if your factorisation
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SL TYPE 1-LACSAP’S FRACTIONS * INTRODUCTION This investigation is going to do research patterns relates to the Lacsap’s Fractions. For its external structure‚ Lacsap’s Fraction is analogous to Pascal’s Triangle. Lacsap’s Fraction presents the way of generating and organizing the binomial coefficients. Within this investigation‚ the work is planning to be divided into two parts. In the first part‚ the content will relate to the pattern of numerators. In the second part‚ I am going to do the
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pp /p∗ p 1 CHEM 3411‚ Fall 2010 Solution Set 5 Additionally‚ we know the solution only contains 2-propanol and the unknown with moles fraction of χp and χu respectively‚ and therefore χp + χu = 1. Combining this with our expression for χp gives and expression for χu in terms of measured pressures. χu = 1 − pp /p∗ p Next‚ we’ll use the definition of mole fraction to relate χu to the moles of unknown by χu = nu nu + np
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Dates Relating to Algebra Algebra was developed to solve difficult logic/math problems. It all began in ancient Egypt and Babylon‚ where people learned to solve equations and expressions as well as intermediate equations. The Alexandrian mathematicians continued the traditions of Egypt and Babylon. This ancient data of equations found its way in the Islamic world‚ where it was known as the "science of rebuilding and balancing." (The Arabic word for rebuilding is Al-jabru‚ and is the origin of
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