Sum of Squares

Sum of Squares There are two types of sum of squares formulas, where one of them is the sum of squares of two numbers and the other is the sum of squares of n given values. The formula for sum of squares of two numbers a and b is given as a2 + b2 = (a + b)2 2ab. The formula for the sum of squares of n values such as (12 + 22 + 32 + 42 + + n2) = [n (n+1) (2n + 1)]/ 6. According to the given situation, either of the formulas is used for solving. Example 1: Find the value of the sum of the squares of 1 and 4 written as, 12 + 42. According to the sum of the squares formula, a2 + b2 = (a + b)2 2ab. Given 12 + 42, which implies a = 1 and b = 4. Therefore according to the sum of the squares formula, we get: 12 + 42 = (1 + 4)2 2*1*4 This gives: 12 + 42 = (5)2 8 == 12 + 42 = 25 8 = 17. Hence the value of 12 + 42 = 17. Example 2: Find the value of the sum of squares from 1 to 5. Sum of the squares from 1 to 5 can be written as: 12+ 22+ 32+ 42+ 52. Sum of squares of numbers from 1 to n written as: (12+ 22+32+ + n2) = [n (n+1) (2n + 1)]/ 6 Here n= 5. So, 12+ 22+ 32+ 42+ 52 = [5 (5 + 1) (10 + 1)]/ 6. This gives: (5* 6* 11)/ 6= 330/6 = 55. Therefore the sum of squares from 1 to 5 is 55.

The 5 Best Apps to Learn Spanish on iPhones and iPads

The 5 Best Apps to Learn Spanish on iPhones and iPads Suzy S. The best app to learn Spanish is often a debated topic, but in this article well share a few of the most popular choices and why thousands of language learners use them. If you want to learn Spanish, you must commit to practicing it continuously over a long period of time. This strengthens your “language muscle” so that speaking Spanish becomes a habit that requires little effort. Fortunately, mobile app technology is on your side. Smartphone and tablet apps making practicing a language convenient and affordable. Spanish apps are a great way to supplement Spanish classes or private lessons. So whats the best app to learn Spanish on? While there are more than 100 apps that claim to teach to Spanish quickly, here are the top five. Whats the Best App to Learn Spanish? Here are 5 Options 1. TakeLessons TakeLessons Live offers live classes led by expert instructors in a group setting. After signing up for the free membership option, you have access to a variety of classes to choose from. Whether you want to improve your basic vocabulary or conversational skills, you can join a class right from your phone. With instant feedback and guidance from an expert, you’ll start to see significant progress in your skills in no time. You’ll also get to meet and interact with other students at your level, from around the world. 2. SpanishDict SpanishDict has great multiple-choice games to make learning fun, although it’s most useful once you already have a solid foundation of Spanish skills and can carry on a basic conversation. Its dictionary tends to be more accurate than “Google-Translate. This app contains the most comprehensive dictionary we have yet to find and it incorporates common phrases where the searched words can be properly used. It’s also frequently checked and added to by native Spanish speakers from all over the 24 Spanish-speaking countries. 3. MindSnacks Learn Spanish by MindSnacks is a fun application, most appropriate for younger learners.  One of the games users particularly like is one that   pronounces a word aloud so you can correctly identify it on the screen, while a clock is ticking away. The app also keeps score with fun badges and other cartoon-like images. Full access to the first 50 lessons is $5. The images are most appropriate for younger children but can be fun for any age! 4. Rosetta Stone Rosetta Stone is arguably the most well-known language-learning tool, and also the most intensive. One distinguishing factor is that it attempts to immerse its users in Spanish immediately without explaining and translating everything in English, as if you were learning Spanish as a child, instead of as an adult. While this can be frustrating for those who want their activities explicitly translated so they understand every word and phrase, it can actually accelerate learning. This option is best for those who are especially motivated, have a special knack for language-learning, and don’t get flustered easily. 5. Memrise Memrise is possibly the most creative app, designed to teach you specific words through modules such as “Basic Argentine Spanish,” “Intermediate Spanish,” and “100 most commonly spoken Spanish words.” Each contains several lessons reviewing 10-20 words. It’s creative because instead of learning through mechanical repetition, it incorporates clever plays on words to boost learning and make it fun. For example, “bañarse” is a reflexive Spanish verb that means “to shower or bathe oneself,” and is remembered by “However shy you are of nakedness as you shower, you’ll never be able to ban your ‘arse’ from the bath!” Once your brain makes this “click” it’s unlikely that you will forget this word! Bonus App to Learn Spanish Mosalingua  takes a unique approach to learning a new language by using the spaced repetition method, meaning it reviews what youve learned before youre likely to forget it. It also uses dialogues and helps test your comprehension with different accents. You get rewarded for your success with bonus materials. Mosalingua is fun and easy to use! Enjoy your Spanish learning journey and don’t forget it’s supposed to be fun! The best app to learn Spanish is the one that works best with your unique learning style. If you need some extra help along the way, don’t hesitate to reach out to a Spanish tutor for guidance. These Spanish apps are best used to help you practice in between language-learning sessions with a private tutor! Browse Spanish tutors near you today to really accelerate the path to fluency. Jason N. tutors in English and Spanish in Fairfax, CA.  He majored in Spanish at UC Davis, lived in Mexico for 3 years where he completed a Masters degree in Counseling, and studied Spanish Literature and Psychology at the University of Costa Rica. Learn more about Jason here!   Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher Photo by  Tom Raftery

Accounting Courses in Birmingham

Accounting Courses in Birmingham Where in Birmingham Can You Take Courses in Accounting? ChaptersAccounting Courses for the Public AccountantA Career Change to AccountingAccounting Courses for the UndergraduateA-Levels Prep and Other Independent Study OpportunitiesPrivate Studies Toward the CPA ExaminationAre you a student, having recently sat or preparing to sit your A Levels?Are you what’s called a dislocated worker, one who has been let go and needs some new career path to embark on?Are you in love with numbers and bored with your current, dead-end job, wishing for something with a future to it?Are you a CPA looking for continuing education?If you are in Birmingham, your Superprof is excited to tell you that opportunities for learning about accounting specialities and further education in accounting information systems abound!No matter what your situation, if you are looking into accounting as a vocation, you could not be better situated.Let’s go find the perfect course for you!Find accounting courses in Cardiff and accounting lessons in Belfast too!type of accoun ting â€" managerial or financial accounting, for example.If so, you may find the knowledge you seek at the University of Birmingham.There, you can learn about international finance and accounting, corporate financial management, private sector investment and, of course, learn all about foreign exchange markets.The entire course consists of six modules, and there are compulsory sets, such as financial accounting theory and the theory of financial management.Naturally, if you’ve been working in the accounting field for any amount of time, you already know all about those facets of accounting, so perhaps you would be better suited to a masterclass in accounting.This course lasts three days and covers the basics of accounting, such as how to use financial statements to make business decisions and uncovering the depths of managerial accounting.Again, this may be too basic for the average certified public accountant... but, if you are a mid-level manager in a business, you might need to take this class!How about a specialist course in financial instruments, then?You will learn how to use derivative financial instruments to hedge risks like interest rates and foreign exchange.This course covers:Examples of hedgescategories of hedge and hedged itemshedge effectivenessthe mechanics of hedge accountingdiscontinuing hedge accountingNow, this is advanced accounting at its finest! This course is offered through BPP Professional Education, located at 32-34 Colmore Circus, Queensway, Birmingham B4 6BN.There are similar accounting courses in Manchester and accounting classes in Edinburgh too; why not check them out?A Career Change to AccountingFor those of you who need a change of scenery, from the drab office job you currently hold to the fascinating world of bookkeeping and accounting, Birmingham has something for you, too!No, we’re not being facetious in saying that accounting can be fascinating; some accounting positions are very engaging!Picture the forensic accounta nt, who conducts fraud examination on suspicious businesses’ financial report!Or management accounting: full of risk and speculation, these number crunchers work to cut out financial excess and improve a business’ bottom line.Should you want either one of those to be your area of specialisation, you will first need to acquire accounting skills and learn accounting principles, after which you may branch out into any intermediate accounting course you’d like.You may start your accounting education at Hemsley Frasier’s 1-day offering, meant to introduce principles of accounting to the complete novice.This will essentially be a seminar that demonstrates the accounting process and fundamental bookkeeping skills.From there, you may consider a Level-2 apprenticeship at Birmingham Metropolitan College. Through them, you will gain finance and accounting skills that would prepare you for accounting in any industry, anywhere in the world.Find out also where you can take forensic accoun ting courses in London...From maintaining the general ledger to producing financial reports, you can rest assured that this programme has plenty to offer you.With its 5 campuses scattered across the city, surely you will find that your accounting aspirations are closer than you thought!And, speaking of campuses...As an undergraduate studying accounting in Birmingham, you have your choice of programmes at several Universities! Source: Pixabay Credit: Tero VesalainenMaybe Birmingham City Business School has your ticket...Their 3-year, BA (Hons) programme will take you from basic accounting through taxation, all the way to business law and management information.As this course is only open to home students and the job placement rate is high, this course may be just what you need to get started in public accounting or business accounting!Besides, as an accounting major, this school gives you the option of working full-time during your third year or taking a part-time placement: the choi ce is yours.If you already have a bit of knowledge in cost accounting and financial statement analysis, you may consider the advanced course in accounting and finance offered by Alperton College. While it is true that this is not an established institute of higher learning with a long history or pedigree, nevertheless, their facilities are ever-expanding and improving. Furthermore, they operate on an Open Entry basis; their only requirement is high scores on your GCSEs. And the ability to pay for your classes, of course.Did you know that there are accounting courses held all over the country for people just like you?If you have no time, or your personal situation is not such that your life can stop while you study accounting, you may benefit from Midlands College Certified Accounting Technician programme.This accounting program gives you an overview of accounting practices, combining the theoretical and practical aspects of the discipline to prepare you for an entry-level position a s an accountant.If time is pressing and you need your new job now, they offer the added bonus of designating yourself as a Certified Accounting Technician as soon as you complete their certification programme â€" that could be before, during and after you sit their final exams.They are located at 327 Moseley Road, Birmingham B12 0DXNo need to fret over your CPA exam; Superprof tutors are here to help you! Source: Pixabay Credit: JeshootsA-Levels Prep and Other Independent Study OpportunitiesIf you are a student preparing for your A-Levels, you are surely under the guidance of a teacher or tutor knowledgeable on the subject of accounting.Still, during your second study year, nothing is stopping you from seeking other sources of knowledge, which you might find at the Open College.Their As/A2 level accounting curriculum covers everything you need to know for a successful A-Levels ordeal, from accounting standards to a full understanding of the generally accepted accounting principles, or GAAP.This study programme even goes deep into financial and managerial accounting for your best understanding of those accounting concepts, which would lead to your best chance at a lucrative career!Tuition for this all-inclusive course is £295, and they emphasise their guarantee that, if you are not satisfied with the course â€" maybe enrollment does not suit your schedule at that particular time, they will refund your money, no questions asked.They also guarantee that, upon completing their course, you will be ready to ace your A-Levels!Why not check out Leeds' accounting courses?Birmingham Metropolitan College offers A-Level students a similar study programme.However, it differs from the aforementioned general accounting principles course at Open College in that it focuses more on private accounting. All aspects of accounting are nevertheless covered: every principle of accountancy and auditing, as well as accounting systems and the steps that comprise the accounting cycle.If you are aiming for an accounting degree or hope to switch to a career in accounting, the knowledge and skills you would gain through either of these programmes would certainly boost your efforts!Private Studies Toward the CPA ExaminationFor those of you who have a family to support, you most likely are not in a position to simply quit your job and take on two years of education with the goal of a attaining more rewarding career.That is why night courses are full of people learning new skills in the hope of a better life for themselves and their families.Your Superprof commends you and supports your efforts!For instance, you might need someone to help you revise prior to your CPA exam or to earn your accounting certificate.Superprof has no fewer than 14  tutors for accounting in Birmingham, and they all teach at various levels. Find your finance tutor here.Some also teach either in person or by webcam! Find accounting tuition online here.On every profile page, you will see that tuto r’s area of speciality, whether s/he will meet you in person or online, and how much s/he charges per hour of instruction.Most importantly, you will be able to read what other accounting business students had to say about them!For example, Andrew, who is currently working in accountancy and marketing, has glowing testimonials from seven different students; yet he only charges £10 per hour of instruction!Working toward your degree in accounting under his tutelage would make very good fiscal sense, wouldn’t it?Why not head to Superprof’s tutor page now, to see who else might be good for you to work with?Now discover accounting classes in Glasgow!

Is Knowledge about Culture Really Necessary When Learning a Foreign Language - Introvert Whisperer

Introvert Whisperer / Is Knowledge about Culture Really Necessary When Learning a Foreign Language - Introvert Whisperer Is Knowledge about Culture Really Necessary When Learning a Foreign Language? PERSONAL BRANDING Personal Branding starts with how well you speak about YOU.  I want to help you accelerate your career by connecting you with your Free Instant Access to my eBook â€" The Definitive Guide to Creating and Using an Elevator Speech.  In this guide, I give you simple to follow instructions for creating a “wardrobe” of ways to talk about you â€" to leave a lasting impression. Get your copy now! Brought to you by Dorothy Tannahill-Moran â€" dedicated to unleashing your professional potential. Introvert Whisperer

Critical Reasoning Question 8-Violent Crime - Private Tutoring

Critical Reasoning Question 8-Violent Crime BobbiM Feb 11, 2014 The rate of violent crime in this state is up 30% from last year.  The fault lies entirely in our court system: Recently our judges sentences have been so lenient that criminals can now do almost anything without fear of a long prison term. The argument above would be weakened if it were true that A.  85% of the other states in the nation have lower crime rates than does this state B.  White-collar crime in this state has also increased by over 25% in the last year C.  35% of the police in this state have been laid off in the last year due to budget cuts D.  Polls show that 65% of the population in this state oppose capital punishment E.  The state has hired 25 new judges in the last year to compensate for deaths and retirements Think you know the answer? The correct answer is C. If we can show that something besides the court system may explain the increase in crime (if we can show a different cause for the same effect) we would weaken the argument.  The author, after all, assumes that there is no other cause ( a common GMAT assumption).  Tackle the choices, looking for another cause besides the allegedly lenient court sentences. (A) is a classic faulty comparison.  The argument does not compare one state to another.  The arguments scope is the crime rate increase in this state only.  In (B), the fact that white-collar crime is also on the rise is more of a strengthener than a weakener-maybe it is the leniency in the courtroom that is responsible for an overall crime surge.  (C) presents an alternative explanation for the increase in crime.  Maybe it is not the judges at all but the fact that there are fewer cops on the street.  As for (D), what if 65% of people in the state oppose capital punishment?  what if 100% of people in this state oppose capital punishment?  This provides little insight into why crime has gone up since last year.  (E) tells us that numerous judges have been replaced in the last year.  It is possible that the new judges are more lenient, but this would only strengthen the authors conclusion.

The Benefits and Challenges of Studying History

The Benefits and Challenges of Studying History Studying history can work wonders in helping students develop critical thinking skills. It does not matter what subject in history one is studying, or what level; they all help students learn to look at a variety of issues from different points of view. Because at some level we know the outcome of historical events, and we often have multiple viewpoints of those events, students can begin to understand how humans in the past have approached a variety of issues that in turn provide insight into how to approach the issues of today. Students can start seeing in history that there is never just one correct way to approach an issue, and while that variety can be overwhelming, it can help them start to learn how to make decisions about their own issues even when it is very difficult and overwhelming to do so. Studying history can also help students develop understanding about humans in general by seeing how people of the past were all trying to do the best they could, with varying degrees of success and different metrics for measuring that success. The study of history can also help learners gain empathy, grow as people, and better understand the nuances and complications inherent to human civilization.Click here to learn more about how we can help your student with history.History is a subject that most parents and students often assume will go smoothly, even at an AP level, as they often do not realize that history in high school is no longer about just memorizing dates, places, people, things, and events. Students typically come to AJ Tutoring a few weeks into first semester or even second semester with a low grade, frustration, and confusion. Our history tutors are here to help them out! Often, the main reason students struggle is that they have never encountered history like this before, so it is not surprising that they may be a bit lost. Individualized history tutoring is a great guide for this complicated subject, and, as time progresses, we can work with stu dents to develop critical thinking skills that will help them now and later in life.Despite the stereotype of history being a dull subject or a not useful subject that is not relevant to the world today, it is in fact a vital part of a student’s education and should not be dismissed. It is a subject that can help them grow and develop as people, which will help them go far in the world regardless of what goals they pursue as adults.Even if students are committed to studying history, they can often struggle with keeping track of all the information covered in history classes, especially AP history classes. Teachers often expect students to absorb a myriad of seemingly specific facts which will be reviewed on quizzes and tests. It can be intimidating and frustrating for students when they try to study thoroughly and correctly, only to realize that they missed that one tiny section about an apparently random person or event that then pops up on an examination. With these difficulties in mind, here are a few strategies that our history experts recommend for students engaging with a challenging history subject.A key solution to support intimidated and frustrated students is to help them develop critical thinking skills that will allow them to use the information they do remember to answer questions on details that they don’t remember. These skills can manifest in a number of forms. For instance: helping the students build their own timeline of key events that are less difficult to remember, then making educated guesses about things like cause and effect or continuity and change over time using that bedrock of information. If a teacher provides a study guide before tests or quizzes, we recommend that students aim to absorb all the information from those guides. Then, they should pick one or more events that they think are the most important, engaging, and memorable. From there, students can start building their own timelines from these well-understood subjects t hat they can continue to build on throughout the school year until any kind of cumulative exams they might have, including AP exams.Also, it is important to remind students that history is a story, so there is always a (rough) beginning, middle and resolution to every event that then causes new stories to branch off with their own narratives. Putting historical events together like a multi-book novel series that is constantly being written and rewritten can be a fun way to interact with and remember historical events. Certain characters continue to pop up in different or similar places (Henry Clay the great compromiser is directly involved in many of the political wheelings and dealings of the early to mid 1800s, for example), while old problems that everyone thought were solved come back and challenge new (or even the same) groups of people (the issue of slavery in the US and its potential expansion into the territories is a great example). Helping students see that history is less about memorizing thousands of facts and more about exploring and understanding a story is vital in helping them effectively approach the subject and begin to think critically.  Students can be resistant to this new way of engaging with history, especially if their history classes in the past have focused entirely on memorizing a list of information. They think they already know how to approach history, but then at a high school level when they are expected to use the historical information to write and analyze events, they find they are not able to do so successfully. Students can often write down the information that is relevant to the prompt, but they are unable to explain why it is relevant to the prompt, thus earning a lower grade. Or they think that there is only one possible piece of information that is going to answer a very broad historical writing prompt and spend all of their time trying to figure out which of several potential events they are supposed to write about. In fact, there may be a variety of inroads or possible responses to the prompt.This new sets of challenges can be difficult to tackle, and each student learns differently, so trial and error with a variety of strategies is usually the most effective pedagogical approach. One of the strategies that we find helps many students is to have them practice answering writing prompts by breaking them down into more specific questions, thereby narrowing the focus of their ideas. From there, students can connect their thoughts and explanations into a unified answer. Also, if they are caught up and stalled by trying to find the ‘correct’ answer, it is often helpful to give them a very short time period to brainstorm and then write freely based on what they could brainstorm, even if they think it may not answer the question completely.The best resource for writing about history at an AP level is the collection of past AP history exam free response questions that can be found on the College Boa rd website. For example, you can find some highly useful AP US History resources here. For timeline-building, a crucial test-taking technique that is a very student-specific process, there is not just one best resource. The timeline can be something students start building on a piece of notebook paper, a Google doc, a photo of one drawn on the whiteboard during tutoring the list is endless!If your student is looking to build confidence and achieve success in a history course, please reach out to us today!

The Interns Blog italki Team Building

The Interns Blog italki Team Building Our new summer intern Reid from the United States started work at italki on August 4th.  We wanted him to write a quick blog about his first experiences working with the team here in Shanghai.  The below post is written by him. My First Week at italki I (on the far left) attempt to hit a bullseye while playing darts with the other italki staff. When I walked into the italki offices for my first day on the job, I certainly had that first day at work anxious feeling. But as I met the italki team and figured out my way around the office, my nervousness quickly drifted away. I felt more relaxed as I came to realize that italki is not an overly serious, unorganized startup. It is, rather, a very efficient yet fun work environment. So yes, my first-day outfit of a suit and tie certainly stood out… As part of my first week the entire italki team visited a Shanghai gun range for a company bonding event. This being my first week in Shanghai, I have to say I was pretty surprised that I would be shooting guns in China of all places. italki is a very international company and as such it is hard for many of the English-speaking staff to really connect with the Chinese-speaking staff. That said, the power of sport once again flexed its ability to transcend cultural differences and bring people together: while the entire italki team was shooting bow and arrows, we were all aligned in a common cause of cheering on our colleagues to do well. And, when we later took to the gun range I didn’t need to use Chinese to joke with one of my Chinese colleagues about my very poor final score… The entire experience consisted of shooting bow and arrows, guns, throwing darts, playing fuzball, and most all 12-year old birthday party activities (minus the guns, of course). Our team bonding event wa s, to say the least, an enjoyable, enlightening experience that allowed  for all of us to connect with each other on a deeper level regardless of where we were from or what language we spoke. One of my colleagues, Karthik, shoots a bow and arrow for the first time. The employees here at italki are genuinely passionate about what they do and it shows in the quality of their work. The entire premise behind this company is to give people the power of a new language and thus a new culture; It is genuinely so amazing to watch as users from around the world go from having zero knowledge about a language to using it consistently in their daily lives. All in all, I remain excited to work at italki and gain further perspective on the world through my relationships with my international colleagues and italki users. Until next time, Reid The Interns Blog italki Team Building Our new summer intern Reid from the United States started work at italki on August 4th.  We wanted him to write a quick blog about his first experiences working with the team here in Shanghai.  The below post is written by him. My First Week at italki I (on the far left) attempt to hit a bullseye while playing darts with the other italki staff. When I walked into the italki offices for my first day on the job, I certainly had that first day at work anxious feeling. But as I met the italki team and figured out my way around the office, my nervousness quickly drifted away. I felt more relaxed as I came to realize that italki is not an overly serious, unorganized startup. It is, rather, a very efficient yet fun work environment. So yes, my first-day outfit of a suit and tie certainly stood out… As part of my first week the entire italki team visited a Shanghai gun range for a company bonding event. This being my first week in Shanghai, I have to say I was pretty surprised that I would be shooting guns in China of all places. italki is a very international company and as such it is hard for many of the English-speaking staff to really connect with the Chinese-speaking staff. That said, the power of sport once again flexed its ability to transcend cultural differences and bring people together: while the entire italki team was shooting bow and arrows, we were all aligned in a common cause of cheering on our colleagues to do well. And, when we later took to the gun range I didn’t need to use Chinese to joke with one of my Chinese colleagues about my very poor final score… The entire experience consisted of shooting bow and arrows, guns, throwing darts, playing fuzball, and most all 12-year old birthday party activities (minus the guns, of course). Our team bonding event wa s, to say the least, an enjoyable, enlightening experience that allowed  for all of us to connect with each other on a deeper level regardless of where we were from or what language we spoke. One of my colleagues, Karthik, shoots a bow and arrow for the first time. The employees here at italki are genuinely passionate about what they do and it shows in the quality of their work. The entire premise behind this company is to give people the power of a new language and thus a new culture; It is genuinely so amazing to watch as users from around the world go from having zero knowledge about a language to using it consistently in their daily lives. All in all, I remain excited to work at italki and gain further perspective on the world through my relationships with my international colleagues and italki users. Until next time, Reid