...Algebra 1: Simplifying Algebraic Expressions Lesson Plan for week 2 Age/Grade level: 9th grade Algebra 1 # of students: 26 Subject: Algebra Major content: Algebraic Expressions Lesson Length: 2 periods of 45 min. each Unit Title: Simplifying Algebraic Expressions using addition, subtraction, multiplication, and division of terms. Lesson #: Algebra1, Week 2 Context This lesson is an introduction to Algebra and its basic concepts. It introduces the familiar arithmetic operators of addition, subtraction, multiplication, and division in the formal context of Algebra. This lesson includes the simplification of monomial and polynomial expressions using the arithmetic operators. Because the computational methods of variable quantities follows from the computational methods of numeric quantities, then it should follow from an understanding of basic mathematical terminology including the arithmetic operators, fractions, radicals, exponents, absolute value, etc., which will be practiced extensively prior to this lesson. Objectives • Students will be able to identify basic algebraic concepts including: terms, expressions, monomial, polynomial, variable, evaluate, factor, product, quotient, etc. • Students will be able to simplify algebraic expressions using the four arithmetic operators. • Students will be able to construct and simplify algebraic expressions from given parameters. • Students will be able to evaluate algebraic expressions. • Students...
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...Constructing Formulas for Mathematical Operations in Excel (Basic Tips and Techniques) Michelle A. Applequist Computer Information Systems (CIS105) Professor Hari Dhungana Strayer University September 1, 2009 Constructing Formulas for Mathematical Operations in Excel Microsoft Excel uses formulas to construct mathematical operations in a worksheet. After data have been entered into the worksheet, you can perform calculations, analyze data, and create charts. An Excel formula (calculations you create) and functions (formulas pre-existing in Excel) calculates the data entered in the worksheet. Formulas calculate numbers in a particular order. “Excel has one of the most comprehensive set of formulas, not only to perform calculations but also to manage data and records. It also has the ability to instantaneously re-calculate the results as the raw data changes” (Khoo, 2006-9, para. 2). To construct a formula after you have entered data, you must click in the cell that you want the results to appear in, and then type the formula. You can construct formulas by using the sum function, and editing numbers in a cell. It is stated that: Sum is an Excel function—a prewritten formula. Sum indicates the type of calculation that will take place (addition). When the sum function is activated, Excel looks above the active cell for a range of cells to sum. If there is no range above the cell, Excel will look to the left for a range of cells to...
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...Mathematical Operations of Numbers and Simplifying Algebraic Expressions Section A.: Mathematical Operations of Numbers 1.) 8+((12+5) x 4)/2= 8+(17x4)/2= 8+68/2= 8+34= 42 2.) ((3+4)²+4)-2= (7²+4)-2= (49+4)-2= 53-2= 51 3.) ((12+7)+(8/4)²) (19)+(2)² 19+4 23 4.) ½ + ¼ - ⅓= 6/12+3/12-4/12= 9/12-4/12= 5/12 5.) 2/3 x 3/5 = Multiply straight across 2/3 x 3/5 = 6/15 Find common denominator Reduce to lowest term 6/15 ÷ 3/3 = 2/5 6.) ⅓ ÷ ½ = Multiply by reciprocal ⅓ x 2/1= 2/3 7.) 3/2 ÷ ( 1/5 + 6/10) = 3/2 ÷ (2/10 + 6/10) = 3/2 ÷ 8/10 = Multiply by reciprocal 3/2 x 10/8 = 30/16 = 15/8 = 1 7/8 Section B.: Simplifying Algebraic Expressions 1.) 2x + 3x - 5x + x = 5x - 5x + x = 0 + x = x 2.) 2(6x + 5) = 2(6x) + (2x5) = 12x + 10 = 3.) (14x - 7) /7 = 14x - 7 ÷ 7 = 14x ÷ 7 = 2x -7 ÷ 7 = -1 2x - 1 4.) -(-15x) - 3x = 15x - 3x = 12x 5.) 5(3x+4) - 4 = 15x + 20 - 4 = 15x + 16 = 6.) 5(3x-2)+12x = 15x -10+12x = 27x - 10 = 7.) 4(2y-6)+3(5y+10) = 8y-24+15y+30 = 23y-24+30 = 23y+6= 8.) (x+1) (x-2) = Multiply the first 2, outside 2, inside 2, last 2 xx - 2x + 1x - 2 = xx - 2x + x - 2...
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...This week’s material is pretty easy to learn. My learning strategy stayed the same from last week; read the reading material, look at the optional video lectures, answer the discussion question, program the programming assignment, take the self-quiz, etc. … I appreciate learning about the for … each loop. I’m plenty familiar with the for loop, which iterates for a set number of loops, uses initialization, a continue condition, and updating at the top of its block; but, the for … each control structure is a alternative to for. The for .. each loop control structure does not have as complicated continue conditions, and iterates the length of the data structure. I want to master the for .. each loop because it processes a data structure better then the for loop. I interacted with people in the discussion forum. This week’s question asked students to detail the for , and for … each control structure, and include the enum data structure in the explanation. I posted a discussion post, complete with programming examples of each data structure, but there are not enough other student responses to assess. I’ll keep looking for other students to post their discussion assignment, as I need to assess three student discussion posts. This week, I feel it will be helpful to master the for .. each, while, and do … while control structures. Often, I use the for loop, and select case / switch, but the other loops escape my programming toolbox. This week, I learned how to program with while...
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...Aaron Sura June 2, 2014 Wiley plus exercise Question 1. (a). $181,500 (b). $41,200 (c). 38,000 (d). 19,200 (e). 9,500 (f). 63,400 Question 3. In its first month of operation, Maze Company purchased 100 units of inventory for $6, then 200 units for $7, and finally 150 units for $8. At the end of the month, 180 units remained. Compute the amount of phantom profit that would result if the company used FIFO rather than LIFO. The company uses the periodic method. FIFO: $1,410 150 units multiplied by $8 equals $1,200 30 units multiplied by $7 equals $210 $1,200 plus $210 equals $1,410 LIFO: $1,160 100 units multiplied by $6 equals $600 80 units multiplied by $7 equals $560 $600 plus $560 equals to $1,160 Therefore, the phantom profit would be $250 if the company were to use the FIFO rather than LIFO. Question 4. Compute the lower of cost or market valuation for O'Connor's inventory. 12,500(camera)+9,000(camcorders)+12,800(DVD’s)= $34,300 Question 5. Establishment of responsibilities: Only cashiers may operate registers. Segregation of duties: The duties of receiving cash, recording cash, and having custody of cash are assigned to different individuals. Independent and internal verifications: Daily cash counts are made by cashier department supervisors. Human resource control: All cashiers are bonded Physical controls: All over-the-counter receipts are registers. Question 6. Segregation of duties: 3 Establishment of responsibilities:...
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...yDylan Dissanayake Student ID : 15223568 Session 1 : Earth Buddy 10/01/12 Q1. How many Earth Buddies can Ben count on producing in one shift? How many if the factory works 2 shifts? Three shifts? How many if it operates three shifts a day, seven days a week? Which operation is the bottleneck? TASK | TIME | NUMBER OF OPERATORS | a.BUDDIES/HR | b.BUDDIES/SHIFT | c.BUDDIES/ "2" SHIFTS | d.BUDDIES/ "3" SHIFTS | e.BUDDIES/ "3" SHIFTS - 7 DAYS | FILLING | 1.5 | 6 | 240 | 1680 | 3360 | 5040 | 35280 | MOULDING | 1.6 | 3 | 225 | 1575 | 3150 | 4725 | 33075 | EYES | 1.2 | 2 | 300 | 2100 | 4200 | 6300 | 44100 | EYE GLASS | 1.2 | 1 | 300 | 2100 | 4200 | 6300 | 44100 | PAINTING | 1.5 | 1 | 240 | 1680 | 3360 | 5040 | 35280 | PACKING | 1.98 | 2 | 363 | 2541 | 5082 | 7623 | 53361 | a. Buddies/hr = 60minutes x Operators time/task b. Buddies/shift = 60minutes x Operators x Productive hrs time/task c. Buddies/ 2 shifts = 60minutes x Operators x Productive hrs x No. Of Shifts time/task d. Buddies/ 3 shifts = 60minutes x Operators x Productive hrs x No. Of Shifts time/task e. Buddies/ 3 shifts = 60minutes x Operators x Productive hrs x No. Of Shifts x Days 7 Days time/task Bottleneck = Lowest output (Moulding) Theoretical Capacity/hr = Operators x 60min ...
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...DRILLS TERMS AND DEFINITIONS A. Drills – consist of certain movements by which a unit or individual are moved in an orderly, uniform manner from one place to another or from one formation to another. B. Ceremonies C. Element – an individual squad, section, platoon, camp or a larger unit forming a part of a next higher unit D. Formation – arrangement of an individual or unit in the prescribed manner. Kinds of Formation: 1. Line formation – formation by which elements are side by side of abreast with each other 2. Column formation – formation by which the elements are placed one behind the other E. Interval – space between elements in a line or lateral space between elements. Kinds of Interval 1. normal interval – (whole arm) 2. close interval – (elbow) 3. double interval – (both arms) F. Distance – space between elements in a column. G. Rank – a single line of individual or vehicle placed side by side facing one direction H. File – a single column of an individual I. Alignment – arrangement of individual or group in a straight line formation J. Cover – aligning yourself directly behind the man to your immediate small vehicle maintaining correct distance K. Flank L. Front M. Depth N. Base O. Centre P. Guide – an individual ahead or at the right of the formation designed to center direction and rate of marching Q. Cadence – correct step on marching R. Step – normal steps in marching S. Pace T. Piece – firearm used by an individual ...
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...The Battle of Okinawa, codenamed Operation Iceberg,[3] was fought on the Ryukyu Islands of Okinawa and was the largest amphibious assault in the Pacific War of World War II.[4][5] The 82-day-long battle lasted from early April until mid-June 1945. After a long campaign of island hopping, the Allies were approaching Japan, and planned to use Okinawa, a large island only 340 mi (550 km) away from mainland Japan, as a base for air operations on the planned invasion of Japanese mainland (coded Operation Downfall). Four divisions of the U.S. 10th Army (the 7th, 27th, 77th, and 96th) and two Marine Divisions (the 1st and 6th) fought on the island while the 2nd Marine Division remained as an amphibious reserve and was never brought ashore. The invasion was supported by naval, amphibious, and tactical air forces. The battle has been referred to as the "typhoon of steel" in English, and tetsu no ame ("rain of steel") or tetsu no bōfū ("violent wind of steel") in Japanese.[6][7][8] The nicknames refer to the ferocity of the fighting, the intensity of kamikaze attacks from the Japanese defenders, and to the sheer numbers of Allied ships and armored vehicles that assaulted the island. The battle resulted in the highest number of casualties in the Pacific Theater during World War II. Japan lost over 100,000 soldiers, who were either killed, captured or committed suicide, and the Allies suffered more than 65,000 casualties of all kinds. Simultaneously, tens of thousands of local civilians...
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...CHAPTER – 7 INFORMATON OPERATION “There is a war out there, old friend- a World War. And it’s not about whose got the most bullets; it’s about who controls the information.” Cosmo, in the 1992 Film “Sneakers” 0701. Introduction The instruments of national power (diplomatic, informational, military, and economic) provide leaders with the means and ways of dealing with crises around the world. Employing these means in the information environment requires the ability to securely transmit, receive, store, and process information in the real time. The nation’s state and non-state adversaries are equally aware of the significance of new technology, and will use information-related capabilities (IRCs) to gain advantages in the information environment, just as they would use more traditional military technologies to gain advantages in other operational environments. As the strategic environment continues to change, so does Information Operations (IO). Based on these changes, the present world now characterizes IO as the integrated employment, during military operations, of IRCs in concert with other lines of operation to influence, disrupt, corrupt, or take over the decision making of adversaries and potential adversaries while protecting our own. 0702. Background Information Operations are an evolving construct with roots back to olden times, thus it is both an old and a new concept. The late 1970 world saw the materialization of Information Warfare (IW) and Command and...
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...BASIC BATTLE ANALYSIS: (Student Handout 1) Study Guide for Battle Analysis Overview: 1. General: The U.S. Army Command and General Staff College developed the battle analysis methodology to help its students structure their studies of battles and campaigns. The format can be easily applied by any military professional seeking insight from historical battles and campaigns to help deepen his/her understanding of warfare and the profession of arms a. The battle analysis methodology is a process for systematic study of a battle or campaign. b. This process takes the form of a checklist that ensures completeness in examining the critical aspects of the chosen subject. c. There are two forms of the Battle Analysis: Basic and Advanced. Both utilize the same four steps, but the Advanced is more complex and detailed. Also, the Advanced analyzes the strategic influences on the battle. 2. Format: The checklist is divided into four steps, each of which builds on the previous one(s) to provide a logical order for the study. a. The four steps are: (1) Define the Subject/Evaluate the sources. (2) Review the Setting (Set the Stage). (3) Describe the Action. (4) Assess the Significance of the Action. b. In the first step, you decide what battle you are going to study. In the next two, you gather the information necessary for a thorough and balanced study, and organize it in a logical manner to facilitate analysis. In the last...
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...Treaty of Non-Aggression? by J. Michael Kays The Soviet Union and Nazi Germany were fairly similar, not just in the types of governments the two nations had, but the two individual dictators as well. Though their ideals were completely different, Hitler and Stalin had their countries and its people in their iron fists. Tensions rose in the summer of 1939, Hitler wanted to reclaim Poland for Germany but knew the British and French would protect Polish independence and that the Stalin would feel uneasy about this aggressive German state next to Soviet borders. Though Stalin's forces were weak from his military purges of commanders, Hitler didn't want to fight this war on two fronts such as what happened in World War I. As tensions kept rising all the major powers were fishing for potential allies, Hitler was cautious in his actions and hinted to Stalin that the two of them could divide Poland which caught Stalin's attention (1. German-Soviet). Before the start of World War II in September of 1939 Hitler sent a foreign minister, Joachim von Ribbentrop, to Moscow on the 22nd of August (1. German-Soviet). In the Kremlin Ribbentrop spoke with Stalin and his foreign minister Vyacheslav Molotov, where they discussed the proposal of a non-aggression pact. Hitler at first stated the pact would last 100 years though Stalin thought ten would suffice, the agreement also stated that "neither country would aid any third party that attacked either signatory" (1. German-Soviet)...
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...Keywords - integer programming, location-inventory, multiple products, supply chain optimization I. INTRODUCTION Supply Chain Management spans all movement and storage of raw materials, work-in-process inventory, and finished goods from point of origin to point of consumption [1]. It involves decisions on facility location, technology selection, inventory management, and distribution. These decisions can be categorized into three different levels: strategic, tactical, and operational. Particularly in today’s competitive business environment, the importance of integrating these decisions so as to minimize costs and maximize customer satisfaction cannot be underestimated. Much of the research literature treats the different decision levels separately; few papers deal with optimizing jointly over both the tactical and operational levels, and even fewer involve multiple products. In this paper, we study a multi-product capacitated inventory-location model with risk Pooling (MPILMRP), which considers the impact of tactical and...
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...Chapter 1: Introduction to Operation Management 1. Define operations management. Operations management is the business function that is responsible for managing and coordinating the resources needed to produce a company’s products and services. Without operations management there would be no products or services to sell. 2. Explain the role of operations management in business. The role of operations management is to transform organizational inputs—human resources, facilities, materials, technology, and information—into a company’s finished goods or services. 3. Describe decisions that operations managers make. Operations management is responsible for a wide range of decisions, ranging from strategic decisions, such as designing the unique features of a product and process, to tactical decisions, such as planning worker schedules. 4. Describe the differences between service and manufacturing operations. Organizations can be divided into manufacturing and service operations, which differ in the tangibility of the product and the degree of customer contact. Manufacturing and service operations have very different operational requirements. 5. Identify major historical developments in operations management. A number of historical milestones have shaped operations management into what it is today. Some of the more significant of these are the Industrial Revolution, scientific management, the human relations movement, management...
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...The Axis powers did certainly encounter supply problems with their campaign in North Africa. Especially towards the end of the campaign, they were experiencing serious difficulties in this sphere. Fuel, troops and ammunition were running out at such a rate that it was becoming increasingly difficult to replace it and Rommel’s pleas to Germany were being ignored. However there were certainly two more important factors that contributed to the Axis power’s defeat. These were Hitler’s, and to a lesser extent Rommel’s, poor grasp of strategical and logistical warfare in the North African area as well as the superiority of Allied naval and air power with the welcome introduction of American forces after 1941. After an unsuccessful Italian campaign in Egypt, Mussolini requested help from their German ally, and the Italian Commando Supremo sent motorized and armoured forces to protect their colonies in North Africa. The Germans hastily put together a motorized force, whose lead elements arrived in Tripoli in February 1941. Thus the rush to support the ailing Italian forces also played a part in the defeat of the Axis powers in North Africa as Germany certainly viewed North Africa as a peripheral area. The force, termed the Afrika Korps by Hitler, was placed under the command of Erwin Rommel. In April of the same year Rommel launched a series of attacks on Tobruk, the heavily garrisoned port fortress manned by an Australian infantry division. However when he failed in his attempts...
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... MARKETING, AND ENTREPRENEURSHIP SYLLABUS MANAGEMENT 6 PRODUCTION AND OPERATIONS MANAGEMENT I. TITLE OF THE COURSE: Management 6 II. COURSE DESCRIPTIVE TITLE: Production and Operations Management III. COURSE CREDIT: Three (3) units IV. PRE-REQUISITE: Mgmt 1 and Math 4C V. COURSE DESCRIPTION: As a primary business function, along with marketing and finance, the production operations function plays a vital role in achieving the organization’s basic purpose for existence – to satisfy customer needs – by transforming resources into goods and services. Production operations management is important for two reasons: (1) it is the operations function that is primarily concerned with the production of goods and the provision of services, and (2) the operations function typically involves the greatest portion of the organization’s human resources and is responsible for a large portion of the firm’s capital assets. This course introduces the strategic and tactical decisions involved in production operations management. It focuses on the concepts and tools that are used in making decisions as well as trends and global best practices related to the planning and design, operation, and control of production operations systems. VI. COURSE OBJECTIVES: 1. To enable the students to develop a comprehensive understanding of the production/operations function and to appreciate its role as well as its interdependence with the other...
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