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Words 1309

Pages 6

6.) Explain why each graph is that of a function.

* Each graph is that of a function because at each point in a graph we get a value for y corresponding to a value for x. This is just the pictorial reflection of what we get in case of a function.

Solve each system by substitution

12.)

Solution * 2x + y = 5 * y = 5- 2x

Substituting in first equation

4x – 5y = -11

4x – 5(5-2x) = -11

4x – 25 + 10x = -11

14 x = -11 + 25

14x = 14 x = 1

Therefore, we get :

So, y = 5-2x = 5 -2*1 = 3 x = 1, y =3

Solve each system by elimination.

20.)

Solution

4x +y = -23 ………………………eq 1 x - 2y = -17…………………………….eq 2

Performing 2*eq 1 + eq 2 we get :

8x + 2y = -46 x – 2y = -17

This Gives us : 8x + x = -46 -17 9x = -63 x = -7

So, x – 2y = -17 -7 -2y = -17 2y = 17-7 =10 y = 5

So, X = -7, Y =5

28.) Solution

3x/2 + y/2 = -2 * 3x + y = -4 ……………………………….eq 1

x/2 + y/2 = 0 * x + y = 0 ………………………………………..eq2

Performing eq 1 – eq 2

3x + y = -4

(-)x + (-)y = (-)0

3x – x = -4 * 2x = -4 * X = -2

So,

X + y = 0 * -2 + y = 0 * Y = 2

So, x = - 2, y = 2

Solve each system. State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set and y arbitrary.

32)

Solution

3x + 2y = 5 ……………….eq 1

6x + 4y = 8 ……………….eq2 * 3x + 2y = 4 ……………………..eq 2

This system is inconsistent as the coefficients of one equation does not match the other equation’s coefficients

Solve each system.

50.)

Solution X -1 Y = 4 Z 2

Section 9.2: Exercises 4, 8, 10, 20, 32…...

...(How many times higher does the second ball go than the first ball?) A) 4:1 B) 2:1 C) 1.7:1 D) 1.4:1 11) Two objects are thrown from the top of a tall building. One is thrown up, and the other is thrown down, both with the same initial speed. What are their speeds when they hit the street? A) The one thrown up is traveling faster. B) The one thrown down is traveling faster. C) They are traveling at the same speed. D) It is impossible to tell because the height of the building is not given. 12) The slope of a position versus time graph gives A) position. B) velocity. C) acceleration. D) displacement. 13) The slope of a velocity versus time graph gives A) position. B) velocity. C) acceleration. D) displacement. 14) The area under a curve in an acceleration versus time graph gives A) acceleration. B) velocity. C) displacement. D) position. 15) The area under a curve in a velocity versus time graph gives A) acceleration. B) velocity. C) displacement. D) position. 16) An object moves 15.0 m north and then 11.0 m south. Find both the distance traveled and the magnitude of the displacement vector. A) 4.0 m, 26.0 m B) 26.0 m, 4.0 m C) 26.0 m, 26.0 m D) 4.0 m, 4.0 m 17) A boat can move at 30 km/h in still water. How long will it take to move 12 km upstream in a river flowing 6.0 km/h? A) 20 min B) 22 min C) 24 min D) 30 min 18) 55 mi/h is how many m/s? (1 mi = 1609 m.) A) 25 m/s B) 49 m/s C) 90 m/s D) 120......

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...Programming project 3 Task Title: Implementation of basic command-line interface to GraphApplication Task Description: Implement classes that will instantiate a graph editor. The system should accept various kinds of objects from user by given commands, and respond to these commands by creating node objects, creating arc objects, displaying them or deleting them. Implement the following classes: 1. GraphApplication class that will implement command line interface and interact with the user: This class needs to implement the following commands in its run() method: a. quit – exits the application b. nodes - lists the nodes in the graph c. arcs – lists the arcs in the graph these commands do not need index or parameters d. node - this command requires object for which the node will be created e. dir-arc – this command requires two objects that have nodes and relation name and makes a directed arc between them f. undir-arc – this command requires two objects that are added to nodes and relation name and makes non-directed (symmetric) arc between them these commands can take any object, but for now we will use strings g. printout, delete – these commands require an index or name for the object to be shown or deleted if delete takes two arguments it deletes the corresponding arc, of it gets only one, it deletes a node, if printout takes one argument it prints a node, if it takes two arguments it prints the fact......

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...joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka 3 GRAPH THEORY AND APPLICATIONS ISBN 0-558-83970-3 Discrete and Combinatorial Mathematics: An Applied Introduction, Fifth Edition, by Ralph P. Grimaldi. Published by Addison Wesley. Copyright © 2004 by Pearson Education, Inc. joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka joka......

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...Length: 3 Parts: See Assignment Details Points Possible: 75 Graphs and Trees Task Background: Graphs and trees provide you with ways to visualize data sets, and the opportunity to do analysis on the data (e.g., shortest path). Knowing the structure of a database enables you to choose a proper algorithm for searching for data within a database. Primary Task Response: Within the Discussion Board area, write up to 3 paragraphs that respond to the following questions with your thoughts, ideas, and comments. This will be the foundation for future discussions by your classmates. Be substantive and clear, and use examples to reinforce your ideas. Part I (25 points – distributed as follows) Trees are somewhat less complicated than graphs, which makes things like data searching easier, when a data has the structure of a tree. However, not all data can be represented by a tree. Give an example of a data set that cannot be represented by a tree, but that can be represented by a more general graph. 1) Create, show, and describe your data set. (5 points) V = {Bill, John, Kim, James, Chris, Destiny, Noah, Paul} E = {(Bill, John), (Kim, James), (Chris, Destiny), (Noah, Paul), (Bill, Kim), (John, Chris), (Destiny, Noah)} These are people that are employees at a store. Some work on the same shift together and associate with each other. 2) Then, show by building a graph, how your data is represented by a graph. (5......

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...Phase 3 DB Graphs and Trees Elie De Jesus MATH203-1302A-01 – Discrete Mathematics Professor Andrew Halverson April 24, 2013 Part I Graphs and trees are a little more complicated to understand than what I thought. Based on the information that I found they give you a way to visualize your sets and use the data that you have to find the shortest path. So because of this it shows that Trees cannot contain a cycle, so a set would be Y=COS(X); which can be a general graph but not a tree. The one example that I understood was the one about “the mileage on a bike”. Now I don’t quite understand the example but it shows that the graph would have a decrease in mileage where as it would increase in time. That is not how a tree is explained because there is no sequence to be shown for the data. This is the examples graph: So based on that example I understand that the tree encoding defines a root node or one path between two nodes that represent the output of a solution. A tree is still a graph but without multiple paths. So to be a tree it has to start from any node and be able to reach another, there can be no cycles, and you must have more nodes that edges. Part II To first answer this question one must know the meaning of a Breadth-first or a Depth-first. A Breadth-first search is a strategy for searching in a graph when search is limited to essentially two operations: (a) visit and inspect a node of a graph; (b) gain access to visit the nodes that neighbor the......

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...heading “Method of Collecting Data”. Mention whether the data was received from different sources, like government agencies or departments within the firm. Also explain each source’s method for reporting data. Explain about the method of accounting analysis for these distinct reporting methods. 5. Title the next section as “Significant Financial Events” and under this section, enlist the events which occurred during the studied time period and which altered results. 6. Proceed with a section titled “Detailed Results” which includes a comprehensive analysis about the investment returns, balance sheets, income statement, and productivity ratios. Also comment on each of these factors in addition to providing support for your statements with graphs and tables. 7. Evaluate results from various quarters in a section titled “Analysis of Variance”. 8. Prepare an appendix for “Financial Revenues” defining how that term was used for preparing the report. Tabulate the revenues over the analysis’ time period. 9. End the report with an appendix for “Observations” discussing any problems faced while performing analysis and thereafter explaining about how research method handled problems. Conclude the report with a statement projecting future performance on the basis of past years’ performance. BalanceSheet - Apollo Tyres Ltd. | | | | | | | Particulars | Mar'13 | Mar'12 | Mar'11 | Mar'10 | Mar'09 | Liabilities | 12 Months | 12 Months | 12 Months | 12 Months | 12 Months | Share......

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...Inductive Triple Graphs: A purely functional approach to represent RDF Jose Emilio Labra Gayo1 , Johan Jeuring2 , and Jose María Álvarez Rodríguez3 1 University of Oviedo Spain labra@uniovi.es Utrecht University, Open University of the Netherlands The Netherlands j.t.jeuring@uu.nl 3 South East European Research Center Greece jmalvarez@seerc.org 2 Abstract. RDF is one of the cornerstones of the Semantic Web. It can be considered as a knowledge representation common language based on a graph model. In the functional programming community, inductive graphs have been proposed as a purely functional representation of graphs, which makes reasoning and concurrent programming simpler. In this paper, we propose a simpliﬁed representation of inductive graphs, called Inductive Triple Graphs, which can be used to represent RDF in a purely functional way. We show how to encode blank nodes using existential variables, and we describe two implementations of our approach in Haskell and Scala. 1 Introduction RDF appears at the basis of the semantic web technologies stack as the common language for knowledge representation and exchange. It is based on a simple graph model where nodes are predominantly resources, identiﬁed by URIs, and edges are properties identiﬁed by URIs. Although this apparently simple model has some intricacies, such as the use of blank nodes, RDF has been employed in numerous domains and has been part of the successful linked open data movement. The main......

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...Koinsber bridge, in 1735. This problem lead to the concept of Eulerian Graph. Euler studied the problem of Koinsberg bridge and constructed a structure to solve the problem called Eulerian graph. In 1840, A.F Mobius gave the idea of complete graph and bipartite graph and Kuratowski proved that they are planar by means of recreational problems. The concept of tree, (a connected graph without cycles [1]) was implemented by Gustav Kirchhoff in 1845, and he employed graph theoretical ideas in the calculation of currents in electrical networks or circuits. In 1852, Thomas Gutherie found the famous four color problem. Then in 1856, Thomas. P. Kirkman and William R.Hamilton studied cycles on polyhydra and invented the concept called Hamiltonian graph by studying trips that visited certain sites exactly once. In 1913, H.Dudeney mentioned a puzzle problem. Eventhough the four color problem was invented it was solved only after a century by Kenneth Appel and Wolfgang Haken. This time is considered as the birth of Graph Theory. Graph theoretical concepts are widely used to study and model various applications, in different areas. They include, study of molecules, construction of bonds in chemistry and the study of atoms. Similarly, graph theory is used in sociology for example to measure actor prestige or to explore diffusion mechanisms. Graph theory is used in biology and conservation efforts where a vertex represents regions where certain species exist and the edges......

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...Introduction To Virtual Spatial Graph Theory 1. Introduction The mathematical theory of knots studies the many ways a single loop can be tangled up in space. Since many biological molecules, such as DNA, often form loops, knot theory has been applied to biological systems with good effect. However, many biological molecules form far more complicated shapes than simple loops; proteins, for example, often contain extensive crosslinking between cystine residues, and hence from the mathematical viewpoint are far more complicated structures–spatial graphs. The study of graphs embedded in space is known as spatial graph theory, and researchers such as Flapan have obtained good results by applying it to chemical problems. However, in biological systems, proteins are often associated with membranes, meaning that some portions of the molecule are prevented from interacting with others. In the case of a simple loop, the virtual knot theory of Kauffman provides a mathematical framework for studying such systems, as it allows some crossings of strands to be labeled “virtual,” i.e. non-interacting. We hope that a merging of these two theories, called virtual spatial graph theory, will prove equally useful in the biological sciences. Knot theory studies embeddings of circles up to isotopy. There are many ways to extend the ideas of knot theory; two natural choices are the study of spatial graphs and the theory of virtual knots. The theory of spatial graphs generalizes the objects......

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...Misleading Graphs Paper and Presentation Team A: Roderick Hayes II, Melissa Krol, Ann Leal, Wanda Otey, and Corinn Sanders QNT/273 May 9, 2011 Terry Dunning Misleading Graphs Paper and Presentation Graphs are used to give a visual image of data so readers can analyze and translate it quicker and easier than looking at a mass of numbers. However, incorrectly drawn or disproportionately drawn graphs can lead a reader to incorrect translation of data (Bluman, 2009). This document will describe the problems associated with the graph shown below, explain how they affect readers, and what needs to be done to correct the graph (University of Phoenix, 2010). [pic] (Misleading Graphs, 2011) Problems This bar chart represents sales from the year 1995 -1998, this is an assumption because there is no indication that the figures on the horizontal axis represent years. Charts can be quite useful in explaining many capacities of numbers. In looking at this chart, the boxes seem large because of the 3-D effect, which in this chart makes the 1995 bar seem taller than any of the other bars. The label “number of singles sold” on the vertical axis is unclear. The vertical axis also has no percentages or other numeric values indicating how much was sold and the horizontal axis is vague as it does not indicate what the numbers listed represent (Misleading Graphs, 2011). Effect on Users The chart is not properly set up for users to accurately read......

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...Business Graphs Unit 8 focus on business graphs, which is covered in your reading of Chapter 7: “Business Statistics.” Note: In this Assignment you will have both Assignment problems and an essay component. For this Assignment you will write an essay to address the requirements described below. Your essay must be carefully planned and written using well-constructed sentences and paragraphs. Make sure that your grammar and spelling are correct. Points will be awarded for content as well as composition. Your essay must be a minimum of 1 half of a full page in length, with standard 1 inch margins and is required to have at least one reference from a reliable source. This means that you cannot use sites like Wikipedia, Ask.com®, and Yahoo® answers and that only references from reliable sources will earn points. All resources should be cited both as an in-text citation as well as being listed on a reference page in APA format. Assignments must be submitted as a Microsoft® Word® document and uploaded to the Dropbox for Unit 8. Include your essay directly in this document following the instructions. All Assignments are due by Tuesday at 11:59 p.m. ET of the assigned unit. Essay Assignment (40 points) Question 1: (10 Points) a) Create a bar graph or line graph for the following data including labels: Presto Printing Company sales for one week, beginning February 2: $9,300 $7,900 $5,609 $5,876 $5,420 $3,769 $3,900 b) Create a circle graph......

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...previous page into the spreadsheet. t'JJ The first issue you have to deal with is the heading "Concentration (mol/L)" is too large to fit in • j cell AI. This must be fixed. You can either increase the column width or wrap text. l'j The second issue is that by default, data in the spreadsheet is not "centered" in the cells as shown in the figure. This must also be fixed. Follow the instructions of your instructor. o Notes: • 3. initial here: • 0 Your spreadsheet should look exactly like that in the example, including capitalization, etc. If it does, 2 " :rQ.e 0~ j Name • Using Spreadsheets and Graphing A Skill-Building Exercise in Excel Goal: To Successfully Create an XY Scatter Chart (Graph) using Microsoft Excel 2013 Introduction This lab exercise will walk you through 20 J 3 and using the available I. Background: In most spreadsheet the process of creating an XY Scatter Chart using Microsoft Excel features to format the Scatter Chart. Entering Data in a Spreadsheet programs, the columns and the rows are labeled with numbers. are labeled with letters 1 2 is called a cell. It is common At the intersection L_ of each row and column is a place where data may be entered and this space to place data in a spreadsheet so that 3 sets of related data values are placed in the same row. An example 4 of this would 5 6 temperature be to put a time......

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...PHY 100 LAB My graph depicts the change in the U.S minimum wage over time. This graph has data starting at the implementation of the minimum wage act in 1938, up to more current data in 2014. The gray bar data represents the nominal value for an unadjusted dollar. The yellow bar accounts for the inflation of the dollar, turning it into a 2014 dollar. This depicts what the minimum wage change would look like in constant data value. Looking at the unadjusted graph, there is a bigger discrepancy between the start and end minimum wage. The gray graph has a slow increase of to minimum wage over time. The adjusted wage data depicts many more fluctuations in the data. The yellow bar depicts a more significant increases in the beginning particularly between 1950 to 1970. There are large decreases to the minimum wage around 1975, the end of 1980 and 2008. These decreases do not populate on the nominal value chart. The yellow data shows that the minimum wage has not been a constant an increase like the nominal data. The adjusted dollar is a more realistic and reliable interpretation to the change in the minimum wage. It's interesting that minimum wage has been "higher" in the past then by 2014's minimum wage value. Graph on Page 2 Citation: Taylor, S. L. (2014, February 1). A Basic Fact About The Minimum Wage. Retrieved February 20, 2016, from http://www.outsidethebeltway.com/a-basic-fact-about-the-minimum-wage/ Velocity Graph Descriptions 1 This graph is at a......

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...The Statistical Bar Graph Statistical graphs, charts, and tables are in almost every type of newspaper or journals that are published today. The illustrations are used to make the data easier to understand and read. Although, at times, these graphs, tables, or charts can be confusing. Many types of graphs and charts are used, such as bar graphs, dot plots, pie charts, histograms, and line charts just to name a few. The simplest of these is the bar graph. The bar graph is commonly used for qualitative data and compare the amounts or frequency of occurrence of different characteristics. The display in a bar graph allows a person to compare groups of data and make generalizations about data quickly. Since bar graphs are used to graph frequencies, the height of the bar is important. The longer bar represents a higher frequency. Other areas of interest on the graph are the frequency axis and the axes scale. The frequency axis measures the frequency or amount of the different data, and the axes scale measures the range of values being presented along the frequency axis. In this paper, the bar graph will be addressed using a graph from a study that was found on the internet site theragblog.blogspot.com from an article Health Care Reform: ‘This Won’t Hurt a Bit’ (2010). The bar graph shows the main cause of death is the lack of health insurance, and the article states that health care reform could possibly have an effect on this since everyone would be required to have...

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...Sample Chart/Graph Paper (Marhar, 2011) The graph above is a bar graph. A bar graph is typically the easiest to visualize data quickly. A bar graph is characteristically used for qualitative information. The longer the bar is the higher the frequency of information for that bar. It is imperative to label clearly so that readers know what they are precisely looking at and do not have to make assumptions (Bennett, Briggs, & Triola, 2009). This graph depicts the strategies to prevent readmissions into the hospital. I do believe that this graph is an appropriate choice to depict the data used from the study. This is the best graph to use because it is easy to glance at the graph and retrieve the information. The spacing in the graph is portrayed evenly, the scale on the vertical axis is evenly spread out, and the graph is titled, which is extremely important. Another option to display this information could be a line graph. Although I believe this graph is the best type of graph to use, I do not believe that the graph was assembled as well as it could have been. The graph is confusing on that the axes are not labeled as well as they could be. For example, the vertical axis should be labeled “Percent of readmissions into the hospital” or “Percent of individuals who were not readmitted into the hospital”. I found that in the article the information was not very clear to depict what the graph was showing. There should be a caption underneath the graph to explain the......

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