Research Paper Topics For the Coming Academic Year

Research Paper Topics For the Coming Academic YearAcademic writing has always been one of the most challenging and rewarding parts of any PhD degree but with academic writing being the main basis for your research paper it's not surprising that you may have some trouble coming up with interesting research paper topics for the upcoming year. However, there are actually a great number of ideas that you can take into account and incorporate into your writing for the course, which makes this task much easier than you may have expected. Although your research paper will be your biggest academic achievement of the year, the paper that you write should at least leave an impact on your prospective reader.There is no reason why you should feel unable to write about just about any major academic subject in the world. As long as you are able to find some subjects that people are interested in and which you can speak to them in a way that is comprehensible and interesting, then you should be abl e to put forward a paper that will prove to be read by your prospective reader. The other thing that you need to bear in mind is that the topics that you choose should be well researched, so you do not need to be completely original when writing your research paper.One of the first things that you need to do if you want to come up with great research paper topics for the coming academic year is to use some research that you have already done. If you are able to find some research that has already been conducted about a particular subject that you want to cover in your paper, then you should be able to use that information and come up with a paper that is more interesting and useful than those papers that haven't had much in the way of research behind them. The reason why you should be looking for some information to use for your research is that it will give you a great head start when it comes to coming up with topics for your paper. It also means that you will be able to make sure that you have covered all aspects of the subject and included all of the topics that are important.Another thing that you can do if you want to come up with research paper topics for the coming academic year is to write a variety of different topics that are related to the one that you are dealing with. For example, if you are going to be talking about geography then you might want to look for some geographic topics that people are interested in and write a separate paper that is related to each of those topics. This way you can come up with a selection of topics that relate to your own topic without having to worry about coming up with an entirely new subject every time you have a crack at it.You should also look at various types of issues that people have raised in the past and come up with papers that deal with these. If you want to come up with something that is less ambitious than your research paper, then you could think about using topics that have recently come up in a disp ute or case in court. This way you will have a great degree of independence in coming up with your paper and you will have something to back up your claims.One of the most popular research paper topics that students have come up with recently are the creative use of video footage. In recent years, many professionals and students have begun to use video to create videos that are interesting and educational. If you were to do a piece on this type of research paper topics for the academic year, then you would have the chance to make a big impact with your video.You should also look at specific events that have taken place in the past year. You should be able to use this type of research in order to write about events that took place around the world over the course of the year, so that you will be able to connect your presentation to the events that took place in the past year. This is an excellent way to make sure that you are engaging with the rest of the audience on a global scale.F inally, you should be looking for something that relates to your own personal experiences and interests. This is one of the most popular and successful research paper topics, because many students and professionals alike are drawn to the personal aspects of their topic.

The Curious Researcher: A Guide to Writing Research Papers 9th Edition, Kin, The Office Manager Review, and Travelocity

The Curious Researcher: A Guide to Writing Research Papers 9th Edition, Kin, The Office Manager Review, and TravelocityThe Curious Researcher: A Guide to Writing Research Papers 9th Edition, Kin, The Office Manager Review, and Travelocity. College students and academics everywhere have access to this valuable resource. It's important for college students to understand what makes a great research paper. This 9th edition of the well-known book has not been lost in time and is being used by students who never thought they would need it.This guide covers everything students should know about writing research papers at Georgia Tech and includes: Organizing Your Paper - Tips on working your schedule and your paper around other obligations. Resolving Conflict - How to resolve conflicts between your students and you while writing the paper. Discovering Your Niche - How to identify your research topic and choose a topic for your paper that best fits the type of person who will be reading it.W hat makes this guide so good? The authors of the Curious Researcher: A Guide to Writing Research Papers 9th Edition, Kin, The Office Manager Review, and Travelocity are authors, teachers, college professors, and other professionals who've devoted their lives to helping students become successful scholars. That's why they have gathered together this wealth of information that can be found within this book. Because these authors have gone through the writing process, they have much experience with college students, writing good research papers, and they have the knowledge and expertise needed to make this guide easy to read and easy to apply.The guide covers every step of the writing process from start to finish with easy to follow instructions that are concise and detailed. Students can easily navigate their way through this guide and find the information they need without spending a lot of time learning how to do so. The guide begins with a chapter on how to organize their work so t hey can achieve their goals and guides students through the following steps:The authors of the Curious Researcher: A Guide to Writing Research Papers 9th Edition, Kin, The Office Manager Review, and Travelocity have all come through the process of writing this guide. And they've been through a lot of classes so they know what students need to succeed.In fact, they also go to school and they know how students learn and how they're learning. They feel comfortable sharing their experiences with students, because they have all been through the writing process and know what students are looking for when they enter a writing class. They know that writing is an art and they know that one of the keys to writing well is creating a topic that fits the person who will be reading the paper.Students will appreciate having this guide in their back pocket when they take a college writing class. Students will have the confidence and experience they need to succeed with this guide in their back pock et at all times.Kin, The Office Manager Review, and Travelocity have done a wonderful job of crafting a well-rounded guide that focuses on teaching students how to write papers that are accurate, original, and relevant. They have taken the best from research, which is a very crucial aspect of the paper, and written this guide to help students succeed with writing papers. They have included everything students need in order to excel in their writing classes.The most interesting aspect of this guide is the advice it provides to students who already have their own writing projects. This guide will help students write better research papers. They will also know how to take their own writing projects to the next level. So if students already have papers due soon, this guide will give them tips and techniques they can use in order to get their papers published.

7 Most Common Mistakes on ACT Math How to Avoid Them

7 Most Common Mistakes on ACT Math How to Avoid Them SAT / ACT Prep Online Guides and Tips I've tutored many students on the ACT Math section, and they often found it frustrating. Some struggled because they considered themselves better English students and felt overwhelmed by the content and pacing of ACT Math. Others found that even though they considered themselves strong math students, they had a hard time getting the score they wanted in the ACT Math section. But allthese students typically madethe same types of mistakes. In this article, I’ll go over the seven most common mistakes students make on the ACT Math section and how to avoid them. Mistake #1: Skipping Steps ACT Math questions can be very sneaky.Problems can appear at first glance deceptively easy because they only require you to know basic math topics. However, the ACT questions ask for you to apply this basic knowledge in unique ways and often require you to run through several steps to get to the correct answer.If you don’t write out these steps, you can easilyend up with the wrong answer. For example, check out this ACT Math question: I’m going to admit that the first time I attempted this I got it wrong because I did not write down my steps!Hopefully, you’ll learn from my mistake.Together, we will write out the steps and get to the correct answer. There are 4 questions with 3 possible answers, and only 1 of the 3 answer choices will be correct. Therefore, for each question, Elliott has a ${1}/{3}$ chance of answering correctly.Since there are 4 questions, Elliot’s chances of answering all 4 correctly at random are$({1}/{3})({1}/{3})({1}/{3})({1}/{3})$which equals ${1}/{81}$, so the correct answer is E. Initially, I tried to do this problem in my head without writing any steps down. Because I didn't write anythingdown, Imistakenly thought there were four possible answer choices for each question instead of three. Therefore, I got the wrong answer, ${1}/{256}$. Thankfully, my answer wasn't one of the answer choices, so I caught my mistake, but I would have missed the questionotherwise. Don’t miss problems because you didn’t write out all of the steps.This is arguably the easiest mistake to fix.All you need to do is write out all your steps, and you’ll never accidentally miss a problem because you skipped a step!Learn from my silly mistake! Mistake #2: Forgetting Formulas The ACT doesn’t give you any formulas.However, you’ll need to use a lot of formulas to answer questions in the ACT Math section.You need to know these math formulas to answer the questions correctly.We’ve compiled a complete list of all the formulas you need to know for ACT Math. You need to memorize these formulas.Create flashcards to help you memorize.I cannot stress enough how important memorizing formulas is.You’ll see at least 10 questions (out of 60) on the ACT Math section that you will not be able to answer without knowing formulas. Check out this ACT Math question that you couldn’t answer without knowing the formula: If you didn't have yourtrigonometry formulas memorized (SOHCAHTOA), you would have no idea how to answer this question. It's impossible to answer this question without knowing the formula for the tangent of an angle since that is the value you're trying to find. If you remember your trigonometry formulas, you know that the tangent of an angle is the opposite/adjacent.For this question, you need to find the tangent of angle B.The adjacent side for angle B is 2, which means it is our denominator.This means we can eliminate answer choices H, J, and K. However, you cannot find the final answer without also knowing the formula for thePythagorean Theorem.You need to know the Pythagorean Theorem in order to find the measureof the missing side of the triangle, the opposite side to angle B. Using the Pythagorean Theorem, you can find this missing side measure. $$a^2+b^2=c^2$$ $$a^2+2^2=5^2$$ $$a^2+4=25$$ $$a^2=21$$ $$a=√{21}$$ The opposite side will be $√{21}$, and we know that our adjacent side is 2. The final answer is F, ${√{21}}/{2}$. Mistake #3: Not UnderstandingFunctions Functions tend to be one of the hardest concepts, if not the hardest concept, for most students. Students are usually less familiar with algebraic and/or trigonometric functions than they are with other math concepts such as fractions and percentages. Some students have completely forgotten functions or never learned them in the first place. To master the ACT math section, you need to be a whiz at functions. See this ACT Math function question: To answer this question, you need to know the rules of trigonometric functions andtranslations. You will not be able to answer this question without knowing these rules. You first need to use your knowledge of trigonometric functions to read the graph, and then, you need to apply your knowledge of translations rules to find the final answer. First, you need to be able to identify which function is $sin(x)$ and which is$sin(x+a)+b$ on the graph since they're not identified for you.If you know your trigonometric functions, you know that the y-intercept of$sin(x)$ is 0, meaning the graph of$sin(x)$ crosses through the origin. Therefore, the other functionmust be$sin(x+a)+b$. Once you've correctly identified which function is which, you need to figure out how$y=sin(x)$ was changed to make$y=sin(x+a)+b$, which is where your translation knowledge comes in. Based on the given information in the question, you know the two have the same maximum values, meaning the amplitude was not changed.By looking at the graph you can tell$y=sin(x)$ was shiftedto the left or right to make$y=sin(x+a)+b$, but it was not moved up or down. Since there was no up or down movement, b must equal zero since any change in b would cause$y=sin(x)$ to move up or down. Therefore, the answer must be A, but let's check by figuring out what a should be. Because$y=sin(x)$ repeats itself infinitely, you can shift it either to the left or right to create the new function$y=sin(x+a)+0$.Therefore, $a$ could be positive or negative (for example, ${-3Ï€}/{2}$ or ${Ï€}/{2}$, but it could not equal zero, so A is the correct answer. If you've forgotten functions, then you need to review. You must review all math concepts that you’re rusty on in order to succeed on ACT Math.Lucky for you, we’ve written specific ACT Math content guides to help you study any individual ACT Math content area that you might be struggling with, fromtrigonometric functions totranslations,ratios to rotations, points to probabilities and much more. Mistake #4:Panicking at Unfamiliar Question Formats The ACT sometimes asks questions in strange ways, which can scare a lot of students. I had many students who, even though they'd reviewed all of the math content areas, wouldread the question and rather than trying to figure it out would just freak out and give up. The question below is one that presents an unfamiliar question format. You’ll likely recognize it as an algebra question, and if you were asked to find the solutions forx (had you been given numerical values of m and n), you’d likely know how to answer that question.However, instead, this question tells you the valueof x and asks you to figure out what m and n are. Let’s work through this problem together: If the only possible solution for x is -3, that means the given equation can also be represented as $(x-y)^2=0$.We need to figure out what y is in order to find out what m and n are. If $(x-y)^2=0$, then you can separate it into $(x-y)(x-y)=0$.For this to be true, x-y has to equal 0. $$x-y=0$$ The question told us that the only solution for x is -3, so we plug that in and solve: $$-3-y=0$$ $$-y=3$$ $$y=-3$$ Now that we know the value of y, we plug it back into $(x-y)^2=0$ and then multiply and simplify to figure out what m and n are: $$(x-(-3))^2=0$$ $$(x+3)^2=0$$ $$(x+3)(x+3)=0$$ $$x^2+3x+3x+9=0$$ $$x^2+6x+9=0$$ Therefore, $m=6$, so the answer is C. There is no easy solution to this type of mistake.The only way to learn from this mistake is with practice.ACT Math questions are unlike the math questions you usually see in math class. They are much trickier. I recommend taking as many practice ACT testsas you can in order to get used to the style of ACT math questions.You need to train yourself to be able to solve math questions in this new way. Mistake #5: Solving for the Wrong Value As I just said, ACT Math questions can be tricky.They are tricky not only because they ask you to apply basic skills in new ways but also because they sometimes phrase questions in weird, convoluted ways. Althoughthe ACT is often called the more straightforward test in comparison to the SAT (or at least in comparison to the old SAT),some ACT Math questions are far from straightforward.Take for example this question: The question is basically asking how the surface area will change if you double the length, width and height.However, if you misread the question, you could easilyjump to the incorrect conclusion that the surface area was doubled, and the answer is A. Given the formula for surface area, $A=2lw+2lh+2wh$, if we double $l$, $w$, $h$, the new surface area would be $$SA=2(2l)(2w)+2(2l)(2h)+2(2w)(2h)$$ $$SA=2(4lw)+2(4lh)+2(4h)$$ That can be written as $$SA=4(2lw+2lh+2wh)$$ When that is compared to the original $SA=2lw+2lh+2wh$, you can see it’s 4 times the original, so the answer is B. Take your time.I know you don’t have a lot of time on the ACT Math section, but you need to read each question completely and make sure that you know what you’re being asked.The ACT Math section will always throw you an answer choice that will seem correct if you misread the question.They are trying to tempt you to answer incorrectly.Don’t fall for it! Mistake #6: Incorrectly Using Your Calculator You need to be careful with your calculator.It’s a great tool, but to quote the Spiderman comics, â€Å"With great power comes great responsibility.†It’s very easy to feel rushed during the ACT Math questions, and, in your hurry to find the answer, you type the wrong number(s) into your calculator and, therefore, come to the wrong answer. Now, this is typically one of the better mistakes to make on this list because if you type in the wrong number(s) you’ll likely find no matching answer in the ACT answer choices, and you’ll realize you made a mistake. However, you don’t want to be making this mistake.Even if you catch your mistake because there is no matching answer choice, you’ve still cost yourself valuable time that you could have been using to answer another question.Take the time to check that you’ve copied the numbers into your calculator correctly. Type carefully! Mistake #7: Not Pacing Yourself With only 60 minutes to answer 60 questions, you need to learn to pace yourself. To determineyour pacing, you need to first figure out your target score. The questions progress from easy to hard, so no matter what score you're aiming for always attempt the questions chronologically. If you're aiming for a score higher than 30, then you're going to need to answer all or almost all of the 60 questions. That means you must spend under 1 minute per question on the first 30 questions to save time for the harder end questions. If you're aiming for a score below 30, then you can afford to skip some questions. Determine how many questions you need to answer to reach your score and then pace according to that amount of questions. For example, if you're aiming for 20, then you only need to get 32 math questions right. You can allow yourself a minute and a half per question, and you should attempt the first 40-45 questions and skip the hardest ones at the end. Simply choose a random letter and bubble that in for the ones you skip, since there is no penalty for guessing. I won’t go into detail because we have another great guide on how to stop running out of time on ACT Math and how to take advantage of the easy to hard question order. However, I will say to truly master the pacing you need to take many practice tests under realistic conditions.Don’t give yourself even one extra minute on your practice tests because this can artificially inflate your score. Stick to 60 minutes for the ACT Math section. What’s Next? Now that you know the most common mistakes on ACT Math, you might want to take a look at our specific ACT Math content guides to help you study any individual ACT Math content area that you might be struggling with, from ratios to rotations, points to probabilities. Stuck on an ACT Math problem? We'll show you how to figure out when you're really stuck and what to do about it. Want additional help with ACT Math? Don’t sweat it. We've compiled all ourbest free ACT Math guides into one ultimate ACT math study guide. Want to improve your ACT score by 4 points? Check out our best-in-class online ACT prep program. We guarantee your money back if you don't improve your ACT score by 4 points or more. Our program is entirely online, and it customizes what you study to your strengths and weaknesses. If you liked this Math lesson, you'll love our program.Along with more detailed lessons, you'll get thousands ofpractice problems organized by individual skills so you learn most effectively. We'll also give you a step-by-step program to follow so you'll never be confused about what to study next. Check out our 5-day free trial:

Writing Custom Functions For Weakauras

Writing Custom Functions For WeakaurasFor custom functions for weakauras, it is important to research the functions you want to have. As a result, you will discover many functions that have been suggested by other customers or providers.First, it is always essential to understand what kinds of custom functions are required. Each function must be tailored specifically to your needs. Whether you want it to provide users with information, respond to traffic or maintain a meeting schedule, this must be included in the design.Secondly, the purpose of the custom functions must be clearly defined by the business requirements. In order to ensure all possible options are available, you will need to communicate this to the developer. Finally, it is important to give the developers enough time to create a design to meet your requirements.The best way to get good custom functions for weakauras is through a search engine optimization (SEO) program. With such a program, you can easily find hundred s of websites that offer free services that will provide you with links to the many sites offering such custom functions. If you are not sure which website will be most appropriate for your requirements, this option would be the best choice.Another alternative is to consult with other businesses. These sites can suggest the best possible solution to your particular need.Furthermore, if you are well-versed in designing, then you will need to consult with an expert. A professional who knows the ins and outs of designing will be able to provide you with all the help you need. Therefore, you should always be wary when you hire someone to design the functions.These two methods are generally chosen for developing customized custom functions. However, if you are not very experienced with any of these two methods, then you can always opt for some third-party.There are many companies who provide custom functions for weakauras. Therefore, when deciding on which company to hire, consider all t he factors listed above. This will help you choose the right provider that can deliver a high quality custom functions for weakauras.

College Essay Words to Use

College Essay Words to UseOne of the easiest parts of writing an essay is using words to describe what you're going to say. If you are not an expert in this area then you may need a bit of help and with words to use you should be fine.One word to avoid is adjectives. This is something that many people overlook when they write essays but if you use them then you're going to lose your reader, and that's just not how you want to do things. You should instead use some proper nouns and make your own adjectives in order to leave your readers wondering what your subject is.One thing that is very important to remember about essay writing is that it is very easy to miss words that should be used. Many students struggle with this as they put everything together to form their essay. Your topic may be simple and yet if you take out the words that describe what you're talking about, then you will leave your readers wondering what you're saying. You should instead make your topic and your essay to be brief and concise.The most common mistake that is made with an essay is the use of words to describe what your topic is. Many people use adjectives to describe what their topic is because they know they will be left with no words to describe it.If you are reading an essay with a topic that is too long and you find that you cannot make heads or tails of it, then you may need to use some help from someone else to help you. However, if you use adjectives then you will never be able to really give your readers a good idea of what the topic is because they're going to have no other choice than to leave your essay completely blank.There are many places where you can get good examples for your essay. Many colleges and universities have their own library and will be able to give you examples and articles on many topics. You can also get some help on online sites and blogs that teach writing.It is a good idea to use a few words to describe your topic and the elements of your college essa y. Using adjectives will help with this. Remember to put down the topic in words and let your article flow and you will have a nice finished product.

Problem Solving and Data Analysis KeySAT MathConcepts

Problem Solving and Data Analysis KeySAT MathConcepts SAT / ACT Prep Online Guides and Tips SAT Math is divided intro three domains: Heart of Algebra Problem Solving and Data Analysis Passport to Advanced Math It's a good idea to get really familiar with what's going to be on the test, where it was derived, and what the SAT is really testing. This post will focus on one domain- Problem Solving and Data Analysis. This is an opportunity to get cozy with these concepts, and with the overall tapes of information that test-makers are looking for. Problem Solving and Data Analysis problems are all about applying your math knowledge to practical situations and looking at actual statistics instead of abstract, theoretical scenarios. Basic Information There are 17 questions in this domain (out of 58 total math questions). They aren't labeled or otherwise indicated on the test- you're never told which type of question you're working on. There are no Problem Solving and Data Analysis problems on the no-calculator section. You will always be permitted to use your approved calculator for questions from this domain- though you may not always need it. You will receive a subscore on a scale of 1-15 on this domain. There will be both multiple choice and grid-in questions. You'll be dealing with both single-step and multistep problems; sometimes, it's just a matter of reading the data and parroting it back, while other problems require a bit more manipulation of the numbers. General Concepts The test-makers want to know that you understand math thoroughly enough to use your skills in real-world settings. Quantitative reasoning is also crucial; you should be able to work with numbers and draw conclusions about what they imply. You’ll be working with a lot of numbers. Real-World Applications You should be able to build a representation of a problem. If a scenario is described to you, you should be able to model it mathematically by describing it with expressions and equations. You should know to consider the units involved. If there happens to be a shift of units (from feet to miles, or something like that), you should account for that as you calculate. You should keep track of the practical meaning of quantities. You're going to be representing real values with variables: don't forget what those variables represent. Also, be sure you understand how a change in one of these variables or quantities affects what's happening in the equation. For example, in a line ($y=mx+b$) with a positive slope (or value of $m$), increasing $x$ will also result in an increase in $y$. Data and Statistics There are a lot of graphs, charts, and tables that could be covered on the test. You should be capable of analyzing one-variable data in bar graphs, histograms, line graphs, and box-and-whisker plots- as well as two-variable data in scatterplots and two-way tables. In other words, you should be fluent in reading these various representations of data. You should be able to describe overall patterns. You'll have to identify positive and negative trends. You should be able to distinguish between linear and exponential growth. Specific Skills There are a number of skills that you'll want to be handy with on the day of the exam. In this section you'll find a discussion of these skills, including what they are and what they look like in action. In fact, let’s hope these skills aren’t all that new! Statistical Analysis The measures of center are arithmetic mean (average) and median. If they can't be calculated from what's given, you may still need to draw some conclusions about them. Even if you can't find the actual number, there may be a question about what possible values are, or how the values compare to another set of data. Outliers typically affect the mean, but not the median. The measure of spread to know is standard deviation. You've got to have the basic theory, but you won't need to calculate the exact value. You should be able to look at two sets of data and see which set is more spread out- that is, which has the greater standard deviation. Insofar as the precision of estimates is concerned, everything depends on the variability of the data and the sample size; smaller variability combined with a larger sample size makes for estimates that are more precise in terms of the actual population. Another tidbit of interest you should know is that randomization combats bias. You should, in context, be able to work with margins of error, which are affected by sample size and standard deviation. Confidence intervals should also be taken into account. The SAT always works with confidence intervals of 95%. This doesn’t mean that 95% of the population is necessarily described by the figure that’s been derived, just that we can be 95% certain that the descriptive figure that’s been reached is accurate. When analyzing the relationship between two variables, remember, correlation is not causation. If subjects for a sample are selected randomly, we can generalize to the entire population reasonably well. If subjects are randomly assigned to test groups, we can reasonably speculate about cause and effect. Otherwise, though, we’re out of luck. You should also be able to evaluate reports to make inferences, justify conclusions, and determine the appropriateness of data collection methods. Take a look at this problem: The correct answer here is (C). We know that removing one very high number from the set is not going to affect the median- the middle three values are all 12, so we know the median will still be 12, even if the middle of the data is shifted over one. The mean will shift somewhat if we don’t include the 24-inch measurement, but there are 20 other data points that anchor the mean at a relatively consistent value if any one value is removed. The range, however, will change from $24-8=16$ to $16-8=8$. The range gets cut in half if we remove the 24-inch measurement! That’s the measure that will change the most. Mathematical Models The domain of the SAT that we’re examining gives special attention to mathematical models. You must, therefore, be able to create and use a model. When two variables are presented in a graph, table, or other chart, you should be handy with analyzing and drawing conclusions with regards to the relationship between these variables. Relationships between variables can be modeled by functions, but remember the function is only a model! It may give scientifically accurate predictions, or it may just describe a general trend. You may be asked whether a model is good, acceptable, or entirely inappropriate. Let’s look at this problem: The geologist in the question provides a model regarding the country’s beach erosion. According to that model, beaches erode at a rate of 1.5 feet per year. 21 feet of erosion would therefore take 14 years, as $14(1.5)=21$. The functions you’re asked to work with may be linear, quadratic, and/or exponential. Linear and exponential are discussed in more detail below. Linear An important example of linear growth is simple interest, where you earn interest on your principal, each period, but not on any interest that has been added since that first deposit. This is modeled by the function: $A = P(1+rt)$. $P$ is the principal, $r$ is the interest rate, and $t$ is the amount of time interest has been accruing. Exponential An important example of exponential growth is compound interest, where you earn interest on the interest you’ve previously earned. This is modeled by the function: $A = P (1+r/n)^{nt}$, where $P$ is the principal, $r$ is the interest rate (typically annual), $n$ is the number of times the interest compounds per period (typically a year), and $t$ is the amount of time that has passed since the principal began accruing interest. Be careful! The stated rate of change may not be the same as the rate of change over time. This is typical of compound interest: You might take a loan at 9%, but if it compounds monthly, you’re really taking a loan at $(1+.09/12)^12 – 1 = 9.38%$ at the end of the year. On the other hand, you might make a deposit that accrues interest at a rate of 5%, but it compounds quarterly, so you’re really getting $(1+.05/4)^4 – 1 = 5.095%$ at the end of the year. Math and money are very closely linked. Ratios, Proportions, Units, and Percentages You’ll need to be familiar with direct proportionality/variation: $y = kx$, where $k$ is a unitless constant of proportion. This relationship may also be expressed as $x_1/y_1 = x_2/y_2$. You’ll need to know how percent increase and percent decrease work. Be careful about how you approach these problems; they can get a little tricky. Remember, for instance, that if you have a 20%-off coupon for an item that’s on a 20%-off sale, you won’t save 40%. You’ll save 36%, as you’ll pay 80% of 80% of the original price: $x(.8)(.8) = (.64)x = x - (.36)x$. Take a look at this pair of problems: This is the sort of situation where you’re asked to deal with quantities in very practical terms. These aren’t just numbers floating in and out of an abstract function; no, these numbers represent that annual budget, in thousands of dollars, for each of six different state programs in Kansas from 2007 to 2010. The first problem is asking for the approximate average rate of change in the annual budget for agriculture/natural resources in Kansas from 2008 to 2010. From 2008 to 2009, the budget grew by 127,099 thousands of dollars, or $127,099,000. From 2009 to 2010, the budget grew by 2,299 thousands of dollars, or $2,299,000. Thus, we add those two figures together, divide by two, and find that the average growth was $64,699,000, or, when rounding, (B). For the next problem, we are comparing the 2007-budget-to-2010-budget ratios across the various programs. We will first need to find those ratios: Agriculture/natural resources - $373,904/488,106=.766$ Education- $2,164,607/3,008,036=.7196$ Highways and transportation- $1,468,482/1,773,893=.8278$ Public safety- $263,463/464,233=.5675$ Out of these, the closest to human resources ($4,051,050/5,921,379=.6841$), is (B). Probability Two events are independent if one happening has nothing to do with another, like the sun shining and you eating a sandwich for lunch. The sun may shine, and you may eat a sandwich for lunch, but one does not cause or prevent the other. Two events are mutually exclusive if they cannot both occur, like me wearing a hat and me not wearing a hat. I can’t do both. For independent, non-mutually exclusive events: P(A and B) = P(A)*P(B), whereas P(A or B) = P(A) + P(B) - P(A and B). For mutually exclusive events: P(A or B) = P(A) + P(B). There are other formulas for more complicated scenarios, but these will get you pretty far - they’re all you should need on the SAT. Let’s take a look at this problem: Twenty-five people passed the bar exam; of these, seven did not take the review course. So, the probability that the interviewed person in question did not take the bar exam is 7/25, or (B). Math and gambling are closely linked, too. It’s all about that probability. Conclusion This domain of the test is calculation-heavy, although there are some theoretical questions. These questions compose almost a third of the test. They cover, roughly: Statistical analysis Proportions Probability Modeling Real-world data Your answers will be scored to yield one of three subscores for the Math section. What’s Next? That was a fair amount of information. Digest it a little; then, a great next stop would be perusing our overall guide to SAT Math, including directions to a number of other great posts. Now, because Problem Solving and Data Analysis problems are so information-heavy, you may wish to practice with some word problems, to get used to that much verbal data being thrown your way. As you’re trying these practice problems, you’ll want to know how to use them to your best advantage. Want to improve your SAT score by 160 points? Check out our best-in-class online SAT prep program. We guarantee your money back if you don't improve your SAT score by 160 points or more. Our program is entirely online, and it customizes what you study to your strengths and weaknesses. If you liked this Math strategy guide, you'll love our program.Along with more detailed lessons, you'll get thousands ofpractice problems organized by individual skills so you learn most effectively. We'll also give you a step-by-step program to follow so you'll never be confused about what to study next. Check out our 5-day free trial:

Summary of TWA Flight 800 Accident Essay Example | Topics and Well Written Essays - 500 words

Summary of TWA Flight 800 Accident - Essay Example The plane exploded approximately 10 minutes after takeoff , and all 230 were killed, with the plane considered to be ‘destroyed’, breaking up into pieces and crashing into the Atlantic Ocean. The ‘why’ of the accident is harder to determine, as many conspiracy theories have come to life in the almost 15 years since the accident. The official cause listed by the National Transportation Safety Board (NTSB) was one of â€Å"fuel tank failure†, stating that the center wing fuel tank exploded. Though no concrete cause was determined for the explosion, most speculate that it was a short circuit of the wiring outside the fuel tank, which then led to a chain reaction and breaking up of the airplane when the fuel ignited. After the TWA Flight 800 accident, measures were taken to prevent another accident from occurring like this one. The post-accident report of the NTSB focused on safety issues, stating that a contributing factor was the fact that there was a h eat source beneath the fuel tank with no way to cool that source, as well as no way to prevent the vapors that were given off by the fuel tank from igniting. In 1997, extensive tests were done to measure fuel output in conditions similar to Flight 800, as well as measure the temperature of the fuel and determine if it was flammable at those temperatures.