5 Number Problems

5 Number Problems 5 Number Problems 5 Number Problems By Mark Nichol 1. Number Collisions In the sentence â€Å"The day the slain woman was to turn 28, 3,000 gathered at a church to recall her life,† the proximity of her age (assuming it is styled numerically rather than spelled out) and the number of mourners confuses the eye. Readers may assume, before they comprehend the sense of the sentence, that the comma after her age and the following letter space are erroneous and that the digits belong in one figure. If the numerical style for the age is correct, revise the sentence to read, â€Å"The day the slain woman was to turn 28, several thousand people gathered at a church to recall her life.† (This distraction can also occur when a year, a room or building number, or any other numerical designation precedes a figure.) 2. Number Ranges Do not use the word from preceding a number range in which a dash (or, in this case, as employed often in newspapers and online, a hyphen) appears: â€Å"The Korean War lasted from 1950-1953† should read â€Å"The Korean War lasted from 1950 to 1953† or â€Å"The Korean War lasted 1950-1953.† â€Å"The class will be held from 7-10 p.m.† is correctly expressed â€Å"The class will be held from 7 p.m. to 10 p.m.† (the first p.m. may be elided) or â€Å"The class will be held 7-10 p.m.† 3. Number Names When you employ specialized terms that include combinations of numbers or numbers and letters, be sure you’re typing them correctly. The term in â€Å"It’s safe to open your 401K statement again† is correctly rendered 401(k). The designation for a certain nonprofit corporation sometimes incorrectly styled 501c3 or 501(c)3 should appear as 501(c)(3). 4. Numbers with Hyphenation I’ve written about hyperhyphenation and hypohyphenation before (search this site for â€Å"hyphens† for more posts on the topic), but these twin troubles persist, so I will, too: Pay attention when using hyphens in phrases involving numbers. No hyphens are necessary in â€Å"The electrified fence is 10-feet-high,† because â€Å"10 feet high† is a simple description, not an adjectival phrase describing a noun that follows immediately (â€Å"10-foot-high electrified fence† is correct). One of those extra hyphens can be donated to the phrase â€Å"21-year old world record,† which refers not to an old world record consisting of 21 years (is that â€Å"old world,† as in â€Å"old-world charm†?), but to a world record that is 21 years old. 5. Numbers and Currency Take care when making references to money: Redundant references such as â€Å"The fine was set at $5 million dollars† or â€Å"I found $100 bucks in an old shoe box† are common. Be consistent in one article or book about whether you use currency symbols or spell the terms out; the determination should be based on the level of formality (currency terms are usually spelled out in more formal writing) weighed against the frequency of occurrence (numerous and/or technical references to money are best presented with symbols). Keep in mind, too, that use of the dollar sign is ubiquitous, but the cent sign is rare, so if reference is made separately to dollars and cents, it’s best to spell out both terms: â€Å"In 1960, the candy bar cost 5 cents; by the beginning of the twenty-first century, it sold for a dollar.† Also, avoid using numerals for orders of magnitude. The figure in â€Å"The binary star is more than 57,000,000,000,000 miles from Earth† is difficult to read, as is the total in â€Å"The budget was 5,666,943,643 dollars.† In the first example, use the term of magnitude: â€Å"The binary star is more than 57 trillion miles from Earth.† Use the same approach for the monetary figure, which is unnecessarily precise; multidigit references to currency are often rounded off at two decimals past the degree of magnitude. â€Å"The budget was 5.66 billion dollars.† Want to improve your English in five minutes a day? Get a subscription and start receiving our writing tips and exercises daily! Keep learning! Browse the Style category, check our popular posts, or choose a related post below:30 Synonyms for â€Å"Meeting†50 Idioms About Fruits and Vegetables20 Ways to Cry

MDCM CASE Essay Example | Topics and Well Written Essays - 1750 words

MDCM CASE - Essay Example The services that are provided by the company must also be of standard quality. The company has been suffering loss in the market in spite of all its steps and strategy designed for the customers and company’s benefit. The company shares its benefits and losses with the customers in order to form close relations with the customers. With the passage of time, the company has identified the importance of its global status. It has expanded by opening many offices, branches and acquisitions in different parts of the world. However, the company identifies its lacking procedures and slowed information collection and update due to which, it goes through transformations under the heading of Horizon 2000. The company requires a well established IT strategy in order to meet the competition in the market. This paper analyzes the issue in detail. Strategic Goals of MDCM MDCM does the business of medical devices contract manufacturing and is well reputed because of its expansion with the pa ssage of time. The company has well defined strategic goals and due to some problem with meeting the goals, the company has faced continuous losses. The strategic goals of the company are as follows (Jeffery & Norton 1-7): To facilitate the customers with their required devices within due time. To develop an online ordering and account management system that the customers will be able to use themselves. To provide an end-to-end package of medical device contract manufacturing services. To design and fabricate specialized equipment used in the assembly of manufacturing services. To form close partnership arrangements with its customers. To share rewards and risks of the business with its customers. To work with customers as close as it is possible. To reduce manufacturing costs to their lowest level. To maximize customer satisfaction by delivering quality parts and assemblies on time. To expand its business by opening new offices and manufacturing facilities close to its largest cust omers. To maintain that the acquisitions that the company makes, allow the company to spread its operational excellence while keeping the foreign companies autonomous enough to be able to better serve their local customers. Competitive Environment The firm MDCM faces a strict competition in the market because of more firms in the same business. With increasing concept of globalization, more people are active in market and provide globalized facilities to their customers due to which, all the firms face challenges to work towards success and expansion of their business on global basis. MDCM has designed a strategy to form good and close relation with its customers by involving them in their business as the company used to share its rewards and risks with its customers. However, with new businesses introduced in the market, this practice was copied and conducted by other businesses as well due to which, a competitive environment was created in the market (Jeffery & Norton 3). As a com petitive strategy, the company MDCM opened many offices at locations, which were near to their largest customers. Along with offices, the company also made a number of acquisitions. According to Jeffery & Norton (2006), â€Å"the acquisition targets were all non-US-based companies that had competencies in contract manufact

The Role America's Federal Reserve Played in Contributing to the Essay

The Role America's Federal Reserve Played in Contributing to the Actions Leading to the 2008 Financial Crises - Essay Example While the Federal Reserve is a cornerstone institution of the United States, critics have argued that in the long-term the Fed is actually bad for the economy. This research evaluates the extent that the Federal Reserve contributed to the actions leading to the 2008 financial crises. Analysis One of the most prominent critics of the Federal Reserve has been former Republican Presidential candidate Ron Paul. Paul’s perspective follows a line of logic that is directly related to the way the Fed functions. Paul indicates that when the American economy is lagging the Federal Reserve infuses new currency into the system. This new currency results in lowered interest rates. The lowered interest rates correspondingly result in capitalist expansion, as business and individuals increasingly engage in borrowing practices. The problem, as Paul indicates, is that such practices are artificial and don’t reflect the economies’ true and proper functioning. Paul has seminally no ted, â€Å"When central banks like the Fed manage money they are engaging in price fixing, which leads not to prosperity but to disaster† (Paul 2011). ... Kibbe (2011) argues that many Austrian economists predicted the 2008 financial crisis. Kibbe contrasts the Keynesian school of economics, which attempts to implement mathematical models in predicting future economic movements, with the Austrian school that argues later economic shifts can only be understood by examining human behavior. Similar to Ron Paul, Kibbe makes a number of sensational statements regarding the impact the Federal Reserve had on the financial crisis. In both perspectives their criticism is less about specific policy measures the Fed took, but rather with the entire existence of the Fed; as such, they believe that any actions this institution makes is ultimately bad for the economy. Just like Paul, Kibbe (2011) notes, â€Å"we would not experience such dramatic economic swings were it not for monetary policies that distort real prices and encourage improper investment decisions. Boom and bust cycles are inevitable when government interventions confuse market part icipants.† When one couples Kibbe’s perspective regarding boom and busts with statements made by the United States government leading up to the financial meltdown startling consideration emerges. For instance, he notes that Treasury Secretary Paulson said in 2007 that the global economy was at the strongest he had seen it in his career. Additionally, he states â€Å"Between 2001 and 2004, the Federal Reserve injected new credit into the economy, pushing interest rates to their lowest level since the late 1970s. As a result, the economy was booming just a few short years ago† (Kibbe 2011). Still, one recognizes that Kibbe provides little empirical evidence for the predictions of the Austrian economists against the failure of the Keynesian predictive models.

Solubility and K Dependence on Temperature

Solubility and K Dependence on Temperature An exothermic reaction is one which has a negative ΔH value while an endothermic reaction is one which has a positive ΔH value. Based on the results, the dissolution of potassium hydrogen tartrate has a ΔHÂ ° value of 3.89 *104. Therefore as 3.89 *104 > 0, the dissolution of potassium hydrogen tartrate is endothermic, i.e. heat must be added to dissolve the salt in water. This is further supported by the negatively sloped graph above. It can be inferred from the graph that the higher the temperature, the greater the solubility of potassium hydrogen tartrate. The spontaneity of a reaction depends on the change in enthalpy (ΔH) and entropy (ΔS), as well as on the absolute temperature. The change in the Gibbs free energy (ΔG) can be used to determine if a reaction is spontaneous or not. Represented by the equation ΔGÂ ° = ΔHÂ ° TΔSÂ °, when ΔG is negative, a process proceeds spontaneously in the forward direction. When ΔG is positive, the process proceeds spontaneously in reverse. When ΔG is zero, the process is in equilibrium, with no net change taking place over time. Therefore as the ΔGÂ ° calculated at both 10.0Â °C and 50.0Â °C are positive, it can be deduced that the dissolution of potassium hydrogen tartrate is non-spontaneous in the forward direction at the temperatures tested (10.0Â °C to 50.0Â °C). The process however proceeds spontaneously in reverse at the mentioned temperatures. In fact, based on the results, the dissolution will only be spontaneous at 513.6K (ΔHÂ ° / ΔSÂ °) and above. Although both entropy and enthalpy are functions of temperature, this experiment assumes that ΔHÂ ° and ΔSÂ ° do not change significantly over the range of temperatures used. This assumption is valid over relatively small ranges. In this experiment, the various measurements occur within a small range of 40K. Therefore it is safe to assume that the values of ΔHÂ ° and ΔSÂ ° are relatively invariant over the small changes in temperature. Many reasons could cause the experimental value to disagree with the literature value. Probably the most significant source of error would be the inability to maintain the respective temperatures during the slow step of filtering the salt solution after heating/cooling. Gravity filtration was adopted in this experiment, and although the filter papers were fluted to encourage rapid filtration, the process still spanned several minutes. During this time, the temperature of the salt solution could have easily deviated from the desired temperatures towards room temperature. This could cause undesirable recrystallization/dissolution of the salt, thereby, affecting the molarity of the filtrate. This limitation could be overcome by using vacuum filtration to minimize such errors. Besides the possible undesirable recrystallization/dissolution before filtering was over, recrystallization could also occur in the filtrate before the 25mL aliquots were obtained. This would only apply to the samples that were experimented at temperatures above room temperature. As the filtrate cools, the salt would recrystalise, causing a change in homogeneity and molarity of the filtrate. Although the protocol was to immediately aliquot 25mL after filtration, the time for the filtrate to reach at least 25mL was sufficient enough for significant cooling of the solution, with the large surface area of the solution filtering dropwise and the contact with the cool conical flask. A possible solution to this problem is to heat the filtrate again after filtration before aliquoting to ensure all the salts that may have recrystalised dissolve. However, the heating should be gentle to prevent significant lost of solvent and prevent change in molarity. Another source of error would be the assumption that the molarity of the given NaOH solution is accurate. Alkaline solutions such as NaOH absorb carbon dioxide from the atmosphere according to the reaction: CO2 + 2OH- ↔ + CO32- + H2O. Since hydroxide ion is consumed by this reaction, the concentration of the sodium hydroxide solution will be changed. Therefore the precise concentration of the NaOH solution may not be the value that what was stated on the bottle, especially if the solution was prepared long before the experiment was conducted. Standardization of the NaOH solution should be done just before the experiment is conducted. Although in this experiment, the molarity of the provided NaOH solution was assumed to be accurate and no further standardization was done, precautions were taken to protect the solution from the carbon dioxide that is always present in the atmosphere. As during titration, the NaOH solution in the buret will be exposed to air, the buret used was prepared for use only when it was needed, and fresh sodium hydroxide should be added if it. The initial steps of the procedure was to obtain approximately 200ml of NaOH solution from the stock bottle. To obtain higher accuracy though, the NaOH taken from the stock bottle should not be more than what is needed for one titration. More NaOH solution should be taken from the stock bottle when needed. Other precautions were also taken during the experiment to reduce contamination. Apparatus were scrupulously cleaned and rinsed with solutions that they were to contain before use. The experiment was also cautiously done to prevent loss of material through spillage, splashing or splattering. Conclusion This experiment successfully demonstrated the relationships between state functions, including entropy and enthalpy, free energy, spontaneity, and equilibrium constants. Since ΔHÂ ° and ΔSÂ ° were both positive, the dissolution of potassium hydrogen tartrate was spontaneous at high temperatures. This means that the potassium hydrogen tartrate needed energy from the surroundings to dissolve. The reverse process however, is spontaneous. A significant percentage error was obtained by comparing of the obtained solubility product constant with the literature value. Although precautions were taken to ensure accuracy, such an error proves that solubility product constants are extremely difficult to obtain experimentally because of limitations of the experiment and the necessity to identify all chemical species and processes present in the chemical system used to obtain the values.

Exploring Teaching Methods that Help Engage Students Essay -- Educatio

Considering a stereotypical class room, the bell rings, students are almost in their seats, and the teacher is demanding their attention. It is hard for the teacher to gain the attention let alone the willingness to learn from their students. No matter what subject is being taught, this has the recipe for boredom from the get go. Any curiosity or imagination for the students has been choked. In order for the teacher to gain the eagerness to learn from his students, he would have to resort to all the mental keenness he could muster. No matter how gifted the teacher, students tend to lose interest in learning in an everyday run of the mill style of class room environment. What creative power or what unusual and highly innovated resource can be implemented into a classroom that has been limited by tradition, a lack of creativity, and monotony? The answer is not a teacher who has an ingenious nature or who is a skilled innovator. The answer relies on the teacher’s methods. There are many different methods that have proved to be effective. Activities such as group lead discussion, group discovery, and teacher lead critical thinking discussions have proved effective in integrating different learning styles (Chick). Another method that will stimulate the imagination, and arouse the analytical side of learners is implementation of audio visuals and visual aids for the introduction, during the lectures, prompts for discussions, and even for the closure of class (Atkinson 2). This is a tool – a resource that needs to be tapped. Lastly, setting up the classroom into groups of desks and even changing the classroom on a day to day basis that will emulate what kind of methods are being used for that day by the teacher keeps lear... ...ary Module. ProQuest. Grafton Library, Fredericksburg, Va. 17 Nov. 2008 Olson, Allan. . "Technology that MOVES Assessment and Student Achievement FORWARD. " MultiMedia & Internet@Schools 1 Nov. 2004: 26-28. Education Module. ProQuest. Grafton Library, Fredericksburg, VA. 13 Feb. 2009 Strassman, Barbara K., and Trisha O'Connell. "Authoring with video." The Reading Teacher 61.4 (Dec 2007): 330(4). General OneFile. Gale. LIRN. 3 Oct. 2008 . Teachable Moments. Morningside Center for Teaching Social Resposibilities. 13 Feb 2009 . Wong, Harry, and Rosemary Wong. How To Be An Effective Teacher: The First days of School Mountain View, CA: Harry K. Wong Publications, Inc, 2004.

My personal brand Essay

My personal brand is that I am super energetic in my job. When I was working as a sale assistance in a large retail store, I would always keep my mind that I need to be cheerful and energetic in doing my job, so the customers could feel my passion and caring. This can be help me to avoid those negative emotion and things, makes me to be more productive in work. I would think that is one of the most important strengths of my personal brand. Another strength is that I am willing to learn and communicate with others. Although I am not a fast learner, I will put more effort in order to achieve the result. Also, a good relationship with colleague would make all the things much easier. Therefore, I am energetic in communicating with others and having a connection with them. My weakness is that I am not a fast learner, but I am willing to learn. In order to strengthen my personal brand, there are several actions I could do. First of all, in order to have a good communication with others, language is the most important thing. Improving my English level could help me to have a better connection with others. Also, understand the history of Australia can help me to overcome the barriers of culture difference. Secondly, attending the networking events could help me to build a relationship with different employers. Thirdly, build a personal brand in ‘linked in’ website can help me to connect with others. Also, it can let others to understand who I am.

Principles of the Constitution Essay - 1057 Words

April 21, 2013 Principles of the Constitution POS 301 Part I: Principles of the Constitution | | DEFINITION | | Self-Government | A government in which the people who live in a place make laws for themselves. | In Massachusetts Bay, men who owned property could go to a town meeting and vote. | Separation of Powers | Power of the Constitution is divided among the three branches. | James Madison and the other authors of the Constitution created three branches to make sure that the government’s powers were limited. | Checks and Balances | A system that lets each branch limit the power of the other two. | No single branch or person had the power to run the United States alone. | The U.S. Constitution is the†¦show more content†¦Part II: The Three Branches of the Government | Legislative Branch Headed by Congress (Senate and House of Representatives) * Pass Laws * Originate Bills * Impeach officials * Approve treaties Executive Branch Headed by the president * Direct the government * Command the Armed Forces * Deal with international powers * Act as chief law enforcement officer * Veto laws Judicial Branch Headed by the Supreme Court * Interpret the Constitution * Review laws * Decide cases involving states’ rights Balance of Power Interaction/The ways each branch of the national government can check the power of the other two branches: The Supreme Court can declare a law passed by Congress unconstitutional The Supreme Court can declare the President’s actions unconstitutional The President chooses the judges for the national government’s courts The President approves or vetoes laws passed by Congress Congress must approve the judges the President chooses for the national court If two-thirds of the Senate and House agree, Congress can pass a law even if the president has vetoed it How a bill becomes a law: All of the laws in the United States begin as a bill, which must be approved by the Senate, House of Representatives, and the President. The bill stars as an idea from a representative or a citizen who has an idea and tells their representative about the idea. The representative then decides if the idea isShow MoreRelatedThe Principles Of The American Constitution1720 Words   |  7 PagesThe principles of the American constitution base it’s ideals on Judeo-Christian beliefs and morals. Laws against murder, adultery, theft and practices deemed â€Å"unholy† were instituted with belief these guidelines and restrictions would create a stable but more importantly, prosperous nation economically and socially. 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