...2 and an exponent of 3 Index: The power of a base number showing how many times this number is multiplied by itself e.g. 2 3 = 2 # 2 # 2. The index is 3 Indices: More than one index (plural) Recurring decimal: A repeating decimal that does not terminate e.g. 0.777777 … is a recurring decimal that can be written as a fraction. More than one digit can recur e.g. 0.14141414 ... Scientific notation: Sometimes called standard notation. A standard form to write very large or very small numbers as a product of a number between 1 and 10 and a power of 10 e.g. 765 000 000 is 7.65 # 10 8 in scientific notation Chapter 1 Basic Arithmetic 3 INTRODUCTION THIS CHAPTER GIVES A review of basic arithmetic skills, including knowing the correct order of operations, rounding off, and working with fractions, decimals and percentages. Work on significant figures, scientific notation and indices is also included, as are the concepts of absolute values. Basic calculator skills are also covered in this chapter. Real Numbers Types of numbers Unreal or imaginary numbers Real numbers Rational numbers Irrational numbers Integers Integers are whole numbers that may be positive, negative or zero. e.g. - 4, 7, 0, -11 a Rational numbers can be written in the form of a fraction b • 3 where a and b are integers, b ! 0. e.g. 1 , 3.7, 0. 5, - 5 4 a Irrational numbers cannot be written in the form of a fraction (that b is, they are not rational) e.g. 2 , r EXAMPLE Which of these numbers...
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...Introduction to Computing Explorations in Language, Logic, and Machines David Evans University of Virginia For the latest version of this book and supplementary materials, visit: http://computingbook.org Version: August 19, 2011 Attribution-Noncommercial-Share Alike 3.0 United States License Contents 1 Computing 1.1 Processes, Procedures, and Computers . . 1.2 Measuring Computing Power . . . . . . . 1.2.1 Information . . . . . . . . . . . . . 1.2.2 Representing Data . . . . . . . . . 1.2.3 Growth of Computing Power . . . 1.3 Science, Engineering, and the Liberal Arts 1.4 Summary and Roadmap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 3 3 8 12 13 16 Part I: Defining Procedures 2 Language 2.1 Surface Forms and Meanings 2.2 Language Construction . . . . 2.3 Recursive Transition Networks 2.4 Replacement Grammars . . . 2.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 19 ...
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...Chem I Chapter 8 Matching Match each item with the correct statement below. a. | coordinate covalent bond | d. | single covalent bond | b. | double covalent bond | e. | polar bond | c. | structural formula | f. | hydrogen bond | ____ 1. a depiction of the arrangement of atoms in molecules and polyatomic ions ____ 2. a covalent bond in which only one pair of electrons is shared ____ 3. a covalent bond in which two pairs of electrons are shared ____ 4. a covalent bond in which the shared electron pair comes from only one of the atoms ____ 5. a covalent bond between two atoms of significantly different electronegativities ____ 6. a type of bond that is very important in determining the properties of water and of important biological molecules such as proteins and DNA Match each item with the correct statement below. a. | network solid | e. | tetrahedral angle | b. | bonding orbital | f. | VSEPR theory | c. | dipole interaction | g. | sigma bond | d. | bond dissociation energy | ____ 7. energy needed to break a single bond between two covalently bonded atoms ____ 8. symmetrical bond along the axis between the two nuclei ____ 9. molecular orbital that can be occupied by two electrons of a covalent bond ____ 10. 109.5 ____ 11. shapes adjust so valence-electron pairs are as far apart as possible ____ 12. attraction between polar molecules ____ 13. crystal in which all the atoms are covalently bonded...
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...you vote on each director individually and without a majority of the shares, you cannot ensure that your representative will win any of the elections (you could lose 80% to 20% in each of the 10 individual elections). 3. To make this easier, assume there are 100 shares of class A and 100 shares of class B. You then own 10 class A shares (10%) and 20 class B shares (20%). Because class B shares have 10 times the voting rights of class A, there are a total of 100 + 100(10) = 1100 votes. You have 10 + 20(10) = 210 of those votes, or 210/1100 = 0.191 (19.1%). 4. Plan: We can use Eq. 7.1 to solve for the price of the stock in one year given the current price of $50.00, the $2 dividend, and the 15% cost of capital. Execute: 50 = 2+ X 1.15 X = 55.50 Evaluate: At a current price of $50, we can expect Evco stock to sell for $55.50 immediately after the firm pays the dividend in 1 year. 5. Plan: We can rearrange Eq. 7.1 to find the cost of capital given the current stock price of $20, the $1 expected dividend, and the expected stock price right after paying the dividend of $22. We can use Eq. 7.2 to calculate the dividend yield and the capital gain. Execute: rE = Div1 + P1 −1 P0 P − P0 Div1 + 1 = P0 P0 Capital Gain Rate Dividend Yield rE = 1 22 − 20 + 20 20 = 0.15 = 15% © 2012 Pearson Education, Inc. Publishing as Prentice Hall 82 Berk/DeMarzo/Harford • Fundamentals of Corporate Finance, Second Edition Dividend Yield: 5% (1/20)...
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...Statements True / False Questions 1. (p. 425) Only large businesses use the financial information compiled by accountants. FALSE AACSB: Reflective Thinking Bloom's Taxonomy: Knowledge Difficulty: Easy Learning Objective: 1 2. (p. 425) Accounting is the recording, measurement, and interpretation of financial information. TRUE AACSB: Reflective Thinking Bloom's Taxonomy: Knowledge Difficulty: Easy Learning Objective: 1 3. (p. 425) Only business organizations use accounting information to demonstrate how their funds are being used. FALSE AACSB: Reflective Thinking Bloom's Taxonomy: Knowledge Difficulty: Easy Learning Objective: 1 4. (p. 427) The terms accounting and bookkeeping are interchangeable because they mean almost the same thing. FALSE AACSB: Reflective Thinking Bloom's Taxonomy: Knowledge Difficulty: Medium Learning Objective: 1 5. (p. 427) Bookkeeping is only one aspect of accounting and involves the recording of routine, day-to-day business transactions. TRUE AACSB: Reflective Thinking Bloom's Taxonomy: Knowledge Difficulty: Easy Learning Objective: 1 6. (p. 429) Governments are immune from accounting scandals FALSE AACSB: Reflective Thinking Bloom's Taxonomy: Knowledge Difficulty: Easy Learning Objective: 1 Multiple Choice Questions 7. (p. 425) Accountants compile financial information to A. give to competitors. B. make sure the organization's financial resources...
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...|Assignment front sheet | |Learner’s Name |Registered ID No. |Assessor’s Name | | | | | |Date issued |Completion date |Submitted on | | | | | |Qualification |Unit number and title | |HIGHER NATIONAL DIPLOMA IN BUSINESS |5 / ASPECTS OF CONTRACT AND NEGLIGENCE FOR BUSINESS | | | | |Assignment title |Aspects of Contract and Negligence for Business | |In this assessment you will have...
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...text. Live company. To facilitate learning, you need to download the balance sheet and income statement for a public corporation. Any will do. As you study this and some future topic, you will perform the analysis on your live company and describe its condition. Why analyze Financial Statements? - Evaluate the company’s performance. - Evaluate the company’s management. - Evaluate the company’s cash management. The way we evaluate a company is by comparing its performance with its peers. That is companies in the same industry or with its own historical performance. Procedures: First we calculate a number of financial ratios and then compare them with the industry ratios. To be acceptable, these ratios need to be better or equal to industry average. Half the industry is below average. So average is acceptable. How do we calculate the ratios? Page 88 in the text (numerical example to follow). Consider the ratios: Group 1: - Liquidity - the higher the better. - Current ratio - the higher the better. - Current assets, such as Cash, A/R, Inventory - mature in less than a year. - Current liabilities, such as A/P, Accruals, Notes payable - mature in less than a year. For this ratio, we need to be greater than 1, otherwise the probability of default on current obligations increases. Group 2: - A measure of efficiency. Due to the importance of sales. - Inventory turnover, the higher...
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...following is not one of the six questions that comprise the task of evaluating a company's resources and competitive position? A. What are the company's most profitable geographic market segments? B. How well is the company's present strategy working? C. Are the company's prices and costs competitive? D. Is the company competitively stronger or weaker than key rivals? E. What strategic issues and problems merit front-burner managerial attention? Which of the following is not a component of evaluating a company's resources and competitive position? A. Evaluating how well the present strategy is working B. Scanning the environment to determine a company's best and most profitable customers C. Assessing whether the company's costs and prices are competitive D. Evaluating whether the company is competitively stronger or weaker than key rivals E. Pinpointing what strategic issues and problems merit front-burner managerial attention The spotlight in analyzing a company's resources, internal circumstances, and competitiveness includes such questions/concerns as Awhether the company's present strategy is better than the strategies of its closest rivals based on such . performance measures as earnings per share, ROE, dividend payout ratio, and average annual increase in the common stock price. B. whether the company's key success factors are more dominant than the key success factors of close rivals. C. whether the company has the industry's most efficient and effective value chain. D. what...
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...facing Major League Baseball was: a. b. c. d. poor coordination between local and national sales channels. poorly managed sales channels. outdated information systems. decreasing ticket sales. Answer: d 2. improved flexibility. improved decision making. improved business practices. improved efficiency. Answer: b Difficulty: Easy Reference: p. 6 Dell Computer’s use of information systems to improve efficiency and implement “mass customization” techniques to maintain consistent profitability and an industry lead illustrates which business objective? a. b. c. d. Improved flexibility Improved business practices Competitive advantage Survival Answer: c 4. Reference: p. 3 The six important business objectives of information technology are new products, services, and business models; customer and supplier intimacy; survival; competitive advantage, operational excellence, and: a. b. c. d. 3. Difficulty: Medium Difficulty: Hard Reference: p. 8 The use of information systems because of necessity is: a. b. c. d. survival improved business practices competitive advantage improved flexibility Answer: a Difficulty: Medium Reference: p. 9 5. (Analysis) Which of the following choices may lead to competitive advantage (1) new products, services, and business models; (2) charging less for superior products; (3) responding to customers in real-time? a. b. c. d. 1 only 1 and 2 2 and 3 ...
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...critical challenges facing Major League Baseball was: a. b. c. d. poor coordination between local and national sales channels. poorly managed sales channels. outdated information systems. decreasing ticket sales. Difficulty: Medium Reference: p. 3 Answer: d 2. The six important business objectives of information technology are new products, services, and business models; customer and supplier intimacy; survival; competitive advantage, operational excellence, and: a. b. c. d. improved flexibility. improved decision making. improved business practices. improved efficiency. Difficulty: Easy Reference: p. 6 Answer: b 3. Dell Computer's use of information systems to improve efficiency and implement "mass customization" techniques to maintain consistent profitability and an industry lead illustrates which business objective? a. b. c. d. Improved flexibility Improved business practices Competitive advantage Survival Difficulty: Hard Reference: p. 8 Answer: c 4. The use of information systems because of necessity is: a. b. c. d. survival improved business practices competitive advantage improved flexibility Difficulty: Medium Reference: p. 9 Answer: a 5. (Analysis) Which of the following choices may lead to competitive advantage (1) new products, services, and business models; (2) charging less for superior products; (3) responding to customers in real-time? a. b. c. d. 1 only 1 and 2 2 and 3 1, 2, and 3 Difficulty: Hard Reference: p. 8 Answer: d Analysis in terms of compare 6. Verizon's...
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...The Nursing Process The nursing process is a very important tool that nurses have in to make sure that they give adequate care to all their patients. It helps them not only evaluate each patients’ needs individually but also allows the nurse to prioritize which patient’s needs are more important to attend to first. Just like doctors have a way of diagnosing patients, nurses also use this process to give their own form of diagnosis. The significance of having the nursing process is to have a set way in which each nurse gets a care plan for the patient. Every nurse is taught the way the nursing process go is to assess, diagnose, plan both outcomes and interventions, implement, and evaluate. By doing these steps a nurse can not only find out what is wrong with the patient over all by assessing but after the diagnosis has been found she can plan different nursing interventions to help with the problem. After the nurse has come up with nursing interventions then she would start implementing them and then evaluate to see how the patient is responding. The purpose of this is to make sure that the patient is taken care of at all times, because doctors cannot always be there overseeing the progress of a patient the nurse has to implement what interventions she can to help the patient get better. Also while taking care of multiple patients at a time this nursing process helps a nurse pinpoint who in a higher priority and needs to be seen first. The nursing process is a profession no...
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...PLAN 2012/2013 | | Global Supply Chain Management MO0255 | S01 | Week | Lectures | Lecture Topic | Seminar | Recommended Reading | Directed study | 1 | Lecture 1 | Module Introduction | Making the groups of 4-5 studentsCase Study ReviewIntroduction to operation management (Operation Objectives in the Penang Mutiara Hotel) | Slack, N. (2010), sixth Edition, Chapter 2 | -Reading the TLP carefully-Reading stipulated chapters 1, 2 and 3 of the Slack, N. (2010). | | Lecture 2 | Introduction to Global Supply chain and management | | Slack, N. (2010), sixth Edition, Chapter 13 | -Evaluate the supply chain performance in “Siemens”-Evaluate the global sourcing policy within “Levi Strauss” | 2 | Lecture 1 | SC Performance measurement | Case Study ReviewGlobal Supply Chain managementSupplying Fast Fashion (C13, Slack) | Slack, N. (2010), sixth Edition, Chapters 13 & 17. | -Evaluate the SCOR model and its application in BP, Shell, Siemens AG. | | Lecture 2 | Supplier Development | |...
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...Difficulty: Hard Reference: p. 6 A business model describes how a company produces, delivers, and sells a product or service to create wealth. Answer: True Difficulty: Easy Reference: p. 11 3. Information technology (IT) consists of all the hardware that a firm needs to use in order to achieve its business objectives, whereas information systems consist of all the software and business processes needed. Answer: False Difficulty: Medium Reference: pp. 13–14 4. Computers are only part of an information system. Answer: True Difficulty: Easy Reference: p. 16 5. Information systems literacy describes the behavioral approach to information systems, whereas computer literacy describes the technical approach. Answer: False Difficulty: Easy Reference: p. 16 6. The dimensions of information systems are management, organizations, and information technology. Answer: True Difficulty: Easy Reference: p. 16 7. In order to understand how a specific business firm uses information systems, you need to know something about the hierarchy and culture of the company. Answer: True Difficulty: Easy Reference: pp. 17–18 8. Developing a new product, fulfilling an order, or hiring a new employee are examples of business processes. Answer: True Difficulty: Easy Reference: p. 7 1 9. Business processes are logically related tasks for accomplishing tasks that have been formally encoded by an organization. Answer: False Difficulty: Medium Reference: p. 18 10. A network...
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...Edges Christopher M. Dellin Siddhartha S. Srinivasa {cdellin,siddh}@cs.cmu.edu The Robotics Institute Carnegie Mellon University Abstract—We formulate and study the comprehensive multi-root (CMR) planning problem, in which feasible paths are desired between multiple regions. We propose two primary contributions which allow us to extend stateof-the-art sampling-based planners. First, we propose the notion of vertex coloring as a compact representation of the CMR objective on graphs. Second, we propose a method for deferring edge evaluations which do not advance our objective, by way of a simple criterion over these vertex colorings. The resulting approach can be applied to any CMR-agnostic graph-based planner which evaluates a sequence of edges. We prove that the theoretical performance of the colored algorithm is always strictly better than (or equal to) that of the corresponding uncolored version. We then apply the approach to the Probabalistic RoadMap (PRM) algorithm; the resulting Colored Probabalistic RoadMap (cPRM) is illustrated on 2D and 7D CMR problems. I. I NTRODUCTION Many real-world tasks require a robot to quickly accomplish multiple subtasks without a prescribed order. Consider a personal assistant robot clearing several objects from a tabletop, or a manufacturing robot performing several welds on a novel workpiece. Furthermore, each subtask often permits multiple suitable robot configurations such as grasps of an object or orientations...
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...We integrate f (x) with respect to x, set the result equal to 1 and solve for c. 1 1 = −1 c(1 − x2 )dx cx − c x3 3 1 −1 = = = = c = Thus, c = 3 4 c c − −c + c− 3 3 2c −2c − 3 3 4c 3 3 4 . (b) What is the cumulative distribution function of X? We want to find F (x). To do that, integrate f (x) from the lower bound of the domain on which f (x) = 0 to x so we will get an expression in terms of x. x F (x) = −1 c(1 − x2 )dx cx − cx3 3 x −1 = But recall that c = 3 . 4 3 1 3 1 = x− x + 4 4 2 = 3 4 x− x3 3 + 2 3 −1 < x < 1 elsewhere 0 1 4. The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by, 10 x2 f (x) = (a) Find P (X > 20). 0 x > 10 x ≤ 10 There are two ways to solve this problem, and other problems like it. We note that the area we are interested in is bounded below by 20 and unbounded above. Thus, ∞ P (X > c) = c f (x)dx Unlike in the discrete case, there is not really an advantage to using the complement, but you can of course do so. We could consider P (X > c) = 1 − P (X < c), c P (X > c) = 1 − P (X < c) = 1 − −∞ f (x)dx P (X > 20) = 10 dx x2 20 10 ∞ = − x 20 10 = lim − x→∞ x 1 2 ∞ − − 1 2 = (b) What is the cumulative distribution function of X? We want to find F (x). To do that, integrate f (x) from the lower bound of the domain on which f (x) = 0 to x so we will get an expression in terms of x. 10...
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