Evaluate each algebraic expression‚ given that x= -1‚ y=3‚ z=2‚ a =1/2‚ b= -2/3. a) b) c) 2) Determine the degree of each of the following polynomials. a) b) c) 3) Remove the symbols of grouping and simplify the resulting expressions by combining like terms. a) (x + 3y – z) – (2y – x +3z) + (4z – 3x +2y) b) c) 3 – {2x – [1 –(x +y)] + [x – 2y]} 4) Add the algebraic expressions in each of the following groups. a) b) 5) Subtract the algebraic expressions in each
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Algebra existed long before the Christian era. We find traces on tablets found at the site of NIPPUR (Babylon)‚ four thousand years old‚ and almost at the same time‚ Egypt. Then it was Greece‚ nursery learned philosophers and mathematicians‚ take the torch of algebra before sending the closest we civilized nations‚ those Indians ‚ those Arabs who ’introduced in Europe Average age (around 950). In 825‚ a sage of Baghdad‚ al-Khwarizmi wrote a famous treatise on
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if the year-to-year GDP is up 3%‚ this is thought to mean that the economy has grown by 3% over the last year. Measuring GDP is complicated (which is why we leave it to the economists)‚ but at its most basic‚ the calculation can be done in one of two ways: either by adding up what everyone earned in a year (income approach)‚ or by adding up what everyone spent (expenditure method). Logically‚ both measures should arrive at roughly the same total. The income approach‚ which is sometimes referred
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Collectivisation What? Communal farms‚ Kolkhoz‚ were set up all over the countryside‚ for a variety of different reasons. Stalin planned to merge all the small farms onto larger ’collective’ farms. These new larger farms (Kolkhoz’s) would pool labour and resources‚ and therefore would operate more effectively and efficiency. In addition‚ state provided tractors and fertilisers would modernise production‚ again making the operations more efficient. Why? Stalin had a variety of different
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Cami Petrides Mrs. Babich Algebra Period 4 April 1‚ 2014 Extra Credit Project 12. When you flip a light switch‚ the light seems to come on almost immediately‚ giving the impression that the electrons in the wiring move very rapidly. Part A: In reality‚ the individual electrons in a wire move very slowly through wires. A typical speed for an electron in a battery circuit is 5.0x10 to the -4th meters per second. How long does it take an electron moving at that speed to travel a wire 1.0
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Algebra is one of the broad parts of mathematics‚ together with number theory‚ geometry and analysis. For historical reasons‚ the word "algebra" has several related meanings in mathematics‚ as a single word or with qualifiers. • As a single word without article‚ "algebra" names a broad part of mathematics (see below). • As a single word with article or in plural‚ "algebra" denotes a specific mathematical structure. See algebra (ring theory) and algebra over a field. • With a qualifier‚ there
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eating the animals he hunted and plants grown there. He actually managed to survive for more than 100 days in Alaska with this way until a series of unfortunate accidents that caused him to die slowly (and painfully) of starvation on an abandoned bus. His decomposed body was found more than two weeks later. He was only 24 at the time of demise. All this while‚ his family didn’t know his whereabouts and was searching for him‚ until they received this piece of unfortunate news. In this book‚ Jon
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2.2.3 Purposes of Real Property Valuation There are five elements of property value: Production: productivity is the way of enhancing or hindering capacity for valuation Utility: Utility is the ability to arouse desire for its possession or use. Scarcity: The object must be relatively scarce to satisfy the demand. Demand: There must be a need and ability to purchase. Transferability: It must be possible to transfer good title with ease (Donald A. Corb‚ JD and Richard A. Giovangelo‚ 2013-14)
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the most useful and important scientific inventions known to ’man’. The microscope was invented by Anton van Leeuwenhoek during the seventeenth century. Leeuwenhoek was not a scientist by profession. Initally he made a living selling clothes and buttons‚ but spent his spare time grinding lenses and constructing microscopes of remarkable quality‚ such as the light microscope. The light microscope could magnify cells‚ for instance in plants so you could see a clearer and bigger picture of what they are
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Basic Engineering Boolean Algebra and Logic Gates F Hamer‚ M Lavelle & D McMullan The aim of this document is to provide a short‚ self assessment programme for students who wish to understand the basic techniques of logic gates. c 2005 Email: chamer‚ mlavelle‚ dmcmullan@plymouth.ac.uk Last Revision Date: August 31‚ 2006 Version 1.0 Table of Contents 1. 2. 3. 4. 5. Logic Gates (Introduction) Truth Tables Basic Rules of Boolean Algebra Boolean Algebra Final Quiz Solutions to Exercises Solutions
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