Chem 101 - Chemistry Dilution Equation

Chem 101 - Chemistry Dilution EquationYour first foray into the world of chemistry should be a chemistry dilution equation. Before you begin to learn how to formulate a compound, be sure that you have come to terms with the concept of a dilution factor and can then multiply the formula for a compound by the appropriate factor.The introduction of the equation on how to properly measure and formulate a compound is of great importance to all chemists. The solution of how to dilute a compound involves finding the solution with the smallest number of parts per million by volume. Any solution containing more than one part per million by volume will be considered poor quality but how to dilute a compound can also depend on the constituents of the compound and the reaction conditions under which it was formulated.For example, let's take the dilution equation for nitric acid as a starting point for your learning. We are going to try to calculate how many molecules of nitric acid we would need to dilute before we reached equilibrium. Our first step in calculating the quantity of nitric acid required is to find out the equivalent volume of hydrochloric acid.Next, we will calculate the equivalent volume of hydrochloric acid using the formula: V = H-COCl and replace the hydrogen ionic units with the appropriate units for H-Cl. We know that the molecular weight of the hydrochloric acid is one H-OH, so our formula would be V = (1-H-Cl) O. The formula for hydrochloric acid will be:This is pretty simple and will yield the same result as the formula for hydrogen ionic equivalents, so it won't change once we convert the formula to molecular equivalents. Of course, we must add our molecular weight of nitric acid to the formula above to get our equivalent volume of hydrochloric acid. Finally, we multiply our molecular equivalent volume by the appropriate dilution factor to get the final concentration of our new compound.Conversion and calculation from formula to molecular equivalen ts are done for every compound in your chemistry book. If you are unable to determine the concentration of your compound using your formula, then you must convert the formula to molecular equivalents and multiply the result by the appropriate dilution factor to find the concentration of your compound. After converting your formula to molecular equivalents, you can then determine the exact concentration of your compound by multiplying the resulting concentration by the dilution factor of your chosen dilution formula.Conversion is an important process in any chemistry class. Conversion requires the use of formulas for most compounds. It also requires converting molecular formula to molecular equivalents, and thus multiplying by the appropriate dilution factor to determine the concentration of your compound.Conversion is a complex process that requires an understanding of physics and chemistry. It is an integral part of learning chemistry, and a fundamental tool in every chemistry stud ent's arsenal. Your first chemistry experiment may be your most important experiment because you'll be able to understand how to design a chemical experiment that will yield the most reliable and valuable information.

ISAC Teach in China Program

ISAC Teach in China Program ISAC Teach in China Program International School Alliance of China or ISAC is a government certified recruitment firm (Licensed by the Ministry of Human Resources). We work with public universities, public high and primary schools in China to bring qualified educators into Chinese classrooms. We are based in Hangzhou, a city with both western influrence and Chinese traditional culture. ISACs mission is to bring responsible and qualified teachers into Chinese classrooms and assist them with a safe, smooth and trustworthy transition at their host schools. Teach in China Program ISAC Teach in China Program is a sum of teaching programs ISAC run to recruit teachers at the participating schools. ISAC work consistently anddedicatedly to improve the program standards to bring more teachers into Chinese public universities and schools. University Teaching Program: we work with public universities in China including Shanghai Normal University, Zhejiang Financial College in Hangzhou, Jiangxi University of Finance and Economics in Nanchang etc. Hangzhou Program: we work with Hangzhou Education Bureau to host foreign teachers at public primary secondary schools in Hangzhou, one of the most beautiful and foreigner friendly cities in China. National Teaching Program: we work with public primary secondary schools in areas out of Hangzhou. We wish to become the Chinese version of South Koreas EPIK and Japans JET program. We hope that teachers who come to China can have the most fulfilled Chinese experience. You can explore different parts of China at our participating institutions in Yunnan (famous for its diverse ethnics), Jiangxi (famous for the greenery), Fujian (for coastal scene and seafood) and many more provinces. Keep an open mind and live your fullest expat life in China. Come join us for the 2019/20 school year! View our Brochure

The italki World Cup Language Challenge is over!

The italki World Cup Language Challenge is over! Check out this handy infographic for the World Cup Challenge Wrap-up: Click me to read the World Cup Language Challenge insights! The second learning challenge of 2014 has finally finished, and we daresay has brought us some interesting insights about learning a language, as well as a bit about the italki community. This has been the biggest challenge by far, with hundreds of students participating. The overall challenge completion rate was 53%. Over half of you have passed the goal of 25 hoursof language-learning in two months. What is even  more remarkable, 23%  of the participants have done more than 30 hours of classes during the challenge. One notable thing that we learned through this challenge: telling your friends, neighbors, anonymous YouTubers and the italki community about your commitment greatly increases the likelihood of you achieving your goals: Of our pledge video participants a whopping 62.5%  have completed the challenge 26.2%  have completed over 30 hours A few of the participants went astronomically above and beyond the challenge, with top-3 students having completed: 87.5 hours (from U.K. studying French and Italian) 87.8 hours (from Spain studying English) 92 hours (originally from Mexico, now living in the U.S. studying Mandarin Chinese and Cantonese) The italki World Cup Language Challenge is over! Check out this handy infographic for the World Cup Challenge Wrap-up: Click me to read the World Cup Language Challenge insights! The second learning challenge of 2014 has finally finished, and we daresay has brought us some interesting insights about learning a language, as well as a bit about the italki community. This has been the biggest challenge by far, with hundreds of students participating. The overall challenge completion rate was 53%. Over half of you have passed the goal of 25 hoursof language-learning in two months. What is even  more remarkable, 23%  of the participants have done more than 30 hours of classes during the challenge. One notable thing that we learned through this challenge: telling your friends, neighbors, anonymous YouTubers and the italki community about your commitment greatly increases the likelihood of you achieving your goals: Of our pledge video participants a whopping 62.5%  have completed the challenge 26.2%  have completed over 30 hours A few of the participants went astronomically above and beyond the challenge, with top-3 students having completed: 87.5 hours (from U.K. studying French and Italian) 87.8 hours (from Spain studying English) 92 hours (originally from Mexico, now living in the U.S. studying Mandarin Chinese and Cantonese) The italki World Cup Language Challenge is over! Check out this handy infographic for the World Cup Challenge Wrap-up: Click me to read the World Cup Language Challenge insights! The second learning challenge of 2014 has finally finished, and we daresay has brought us some interesting insights about learning a language, as well as a bit about the italki community. This has been the biggest challenge by far, with hundreds of students participating. The overall challenge completion rate was 53%. Over half of you have passed the goal of 25 hoursof language-learning in two months. What is even  more remarkable, 23%  of the participants have done more than 30 hours of classes during the challenge. One notable thing that we learned through this challenge: telling your friends, neighbors, anonymous YouTubers and the italki community about your commitment greatly increases the likelihood of you achieving your goals: Of our pledge video participants a whopping 62.5%  have completed the challenge 26.2%  have completed over 30 hours A few of the participants went astronomically above and beyond the challenge, with top-3 students having completed: 87.5 hours (from U.K. studying French and Italian) 87.8 hours (from Spain studying English) 92 hours (originally from Mexico, now living in the U.S. studying Mandarin Chinese and Cantonese)

How to Find a Math Tutor

How to Find a Math TutorIf you have some experience in mathematics, you have probably wondered what it is that you need to do in order to find and get a math tutor. The first thing that you need to know is that there are many different options out there, as well as a lot of them that you will want to avoid.There are going to be people who are going to be looking for tutors that you should avoid, and there are some that you should go with. This is something that is going to be very important, because if you miss out on a good one, then the chances are that you are going to end up doing it all wrong. In order to make sure that you get the most out of the tutoring that you do get, you are going to need to know what you need to do in order to find a tutor. In this article, we are going to take a look at what you need to do in order to find and get a math tutor.One of the main things that you are going to need to do in order to get the most out of your tutor is to pay attention to how muc h time that they are willing to spend with you. You should only be working with the tutor for a certain amount of time, and you should not have to do anything other than what they say they will do. Make sure that you do not miss any of their appointments, because if you do, then you are going to wind up doing all of the work for yourself, which is not going to be very efficient.Another thing that you should do in order to find a tutor is to find out what type of experience the tutor has. You are going to want to find out where the tutor worked before, so that you can use this information to your advantage. You are also going to want to look at some of the reviews that you can find online, and read as many of them as you can. This is something that you can do so that you are able to narrow down your list of possibilities and find the tutor that is going to be best for you.Another thing that you are going to want to do in order to find the right math tutor is to look at their credenti als. You are going to want to do a bit of research into the types of jobs that the tutor has done in the past, and you are also going to want to check with some different government agencies, such as the ETS or the FEIS. Doing this will allow you to find out what sort of experiences the tutor has had, and this is going to allow you to narrow down your list of possibilities.Finally, you are going to want to look at what the prices are that the tutor is asking for their services. You are going to want to be able to make a good decision about whether or not you are going to be paying for the service. Make sure that you are paying for a quality service, so that you do not end up wasting your money on a bad tutor.These are just a few things that you will want to do in order to find and get a math tutor. Make sure that you do all of the work that you need to do in order to find the perfect tutor for you.

How to Know More About Chemistry With a Chemistry Knowledge Test

How to Know More About Chemistry With a Chemistry Knowledge TestIf you are interested in taking an advanced course in chemistry, then one of the best things that you can do is to take a chemical knowledge test. A chemistry knowledge test gives you the opportunity to know more about chemistry at a very basic level, so that you can make better informed decisions about your career path. In addition, taking a chemistry knowledge test will help you know the information you need in order to succeed.One of the main reasons that chemistry becomes so popular is because it is a science that people are willing to learn about. People want to know that there is a very clear line between science and pseudoscience, and that there is solid information that comes from the academic world. This means that people are eager to find out more about chemistry, as well as making the effort to know more about other topics. Chemical knowledge tests provide this avenue for people to learn more about chemistry.T here are many courses offered in chemical materials science, but most of them include a large amount of theory. Theoretical chemistry is sometimes seen as being too dry and confusing, and this could lead to people not wanting to take it, since they think it is too difficult. However, the whole point of learning how to do research in this field is to learn how to sort through a lot of theory and work with common sense.When it comes to learning, students won't be able to separate theory from practical application in most cases. So, the first thing that you want to do is to go through a mix of theoretical and practical courses, so that you know what the material is like at a very basic level.Some of the most popular topics that people are interested in learning about are life science, biochemistry, and environmental biology. By taking a chemistry knowledge test you will also learn about the compounds that are used in the testing of drugs, as well as how many compounds are being tested in the medical field.The best way to ensure that you do a good job in taking a CV, is to practice. This is the only way that you will be able to realize what you are actually looking for in a test, and also in what you need to do to get a good score.Another benefit to taking a CV is that if you are having difficulty understanding something or you are not sure how to use the material, you can always check the results out on your favorite chemistry website. Sometimes you will see the answer to a question that is wrong and you can then find it on the website and verify it. You can also post your doubts and questions on forums that deal with the subject matter of chemistry, which will help to build your confidence.

Management Accounting v. Financial Accounting

Management Accounting v. Financial Accounting What is the Difference Between Management and Financial Accounting? ChaptersWhat is Management Accounting?What is Financial Accounting?The Bottom Line: Differences Between Cost Accounting and Financial AccountingA substantial portion of the population finds accounting a very dry, boring subject; one with the capacity to draw figurative blinders over one’s eyes, rendering them unable to absorb anything related to facts and figures.On the other hand, there is a select segment of the population who revel in their understanding of such concepts and mentally play numbers games on their commute, just for fun.Is that you? If so, you might know what differences there are in management versus financial accounting.Your Superprof is in the know too, and in this article, lays out particularities specific to each discipline before contrasting the two.a management accountant fulfils are:making financial forecasts based on dataanalysing risk and finding opportunities for financial growthidentifying trends and opportunities for improvementarrange funding and finan cing of a discrete operationcreate/maintain a company’s financial systemenforce budget compliance within various departments.Now that we are clear on the roles and functions of this corporate financial officer, let us look at the particulars of financial accounting.Stock market tickers are largely a result of companies' financial accounting reports Source: Pixabay Credit: 3844328What is Financial Accounting?Financial accounting is a blanket term given to the processes of recording, summarising and reporting a company’s financial data.While financial accountants keep track of every single company expenditure, be they internal or external to the company, their analyses are not only reported to company management.Such reporting goes further, to entities outside of the corporation, such as shareholders, investors and tax authorities.They also report, or at least make their books available to business/government regulators.Whereas the principles of accounting remain the same regardle ss of whether management accounting or financial accounting is involved, because of its internal scrutiny, financial accounting is done according to a certain standard.The generally accepted accounting principles (practice) UK represents the standards of accounting published by the UK’s Financial Reporting Council.Most countries have similar standards, and they must further conform to the International Financial Reporting Standards should they trade on the global stage.In fact, in the US, which has its own nationally recognised accounting standards that report to the Securities and Exchange Commission, companies are moving away from their national programme to embrace the international standards.Company financial accounting is what laypersons know as financial statements. They embody and present the five main classifications of company financial data.Those are:Assets: those things that bring/indicate a company’s valueliabilities: those things that may cost a companyexpenditures: said expenses could be assets or liabilitiesequity: ownership interest; it could also mean as-yet undisbursed shareholder profitsrevenues â€" what is often called the bottom line: how much profit a company has made after everything has been calculated.As a shareholder, one may not be interested in the smallest detail of every financial transaction the company undertakes but executives and governing bodies would avidly scrutinise such balance sheets for any instance of fraud or waste.The American president’s recent rollback of such oversight regulations has some investors worried: by only reporting every six months, companies have a much greater license to misrepresent accounting information and financial performance!Naturally, a global conglomerate's balance sheet would look substantially different! Source; Pixabay Credit: Steve PBThe Bottom Line: Differences Between Cost Accounting and Financial AccountingThe fundamental difference between the two accounting concepts is that the former is accounting used internally for business planning and strategy and the latter is used in external reporting.Those external reports may include copies to tax agencies, oversight committees and to shareholders.Whereas managerial account reports are not required by law, companies are legally required to furnish periodic reports on the company’s financial health and solvency to investors and to government regulators.Managerial accounting happens on an as-needed basis â€" see the examples of retooling an assembly line or expanding into international markets.By contrast, financial information reports are required in specified instalments: annually, semi-annually, quarterly, monthly and, for some businesses, even weekly!There is no specific format required present managerial accounting data. However, financial accounting must be presented in a specific format, to make for easy comparison with other companies.In management accounting, segment reporting pertains to individual sec tions of the business in addition to the business as a whole.Financial accounting pertains to the business as a whole and may include the performance of individual sections if such data is relevant to changes from past reporting.The focus of managerial accounting is on the future; it takes today’s data and forecasts future financial events: budget shortfalls and/or excesses, for example.A further focus on this type of accounting is on planning and strategising: based on potential future revenue, a business leader can plan for expansion or business diversification.Conversely, financial accounting’s focus is on the past in comparison with today’s performance.The term SPLY, meaning same period last year, features prominently in assessing business growth and earnings.Did the business generate as much or more revenue this time last year?If last year’s bottom line is indeed flatter than this year’s, the company can claim growth. However, if this year’s balance sheet revenues a re lower than this time last year, the company may report a loss to their shareholders.Finally: whereas there are no rules pertaining to how, when and in what format a managerial accounting report should be rendered, there are very specific regulations governing financial accounting reporting.Those standards are set forth by either the aforementioned Generally Accepted Accounting Principles or by international accounting standards, also known as IFRS.For further differences between the two types of business accounting, you may refer to this insightful article.If you are chasing an accounting degree and wondering what area of accounting and finance you might specialise in, these two specialities might pique your interest.If you are already employed in business accounting or accounting management, perhaps our outlining the differences between these two types of accounting can help further your career.How so?You may be interested to know that, generally, those involved with management accounting processes tend to be assigned more projects, which means more chance to present the financial conditions of various aspects of the business.You may also stand a better chance at promotion as a managerial accountant!However, financial accountants are pretty much confined to the same type of financial analysis and reporting, cycle after cycle.Here, the excitement comes from spotting anomalies and investigating them.Whichever type of accounting you prefer, you can be sure that you won’t soon be replaced by an algorithm; your skills are far too vital to trust them to a computer!So are those of accounting tutors... are you looking for one?

The Neighbourhoods of Rome

The Neighbourhoods of Rome The Different Areas of the Eternal City ChaptersAncient RomeThe North of the City CentreThe Vatican CityTrastevereTestaccio-OstienseThe Historic CentreNomentanoEsposizione Universale di Roma (EUR)Rome’s Modern CentreThe Italian capital city is one of the biggest in Europe and has been for centuries. With 7 million tourists per year, it’s the 7th most popular European capital in terms of tourism with the Vatican City in 15th place. This is due to just how many things there are to visit in Rome.Rome is a city whose history spans millennia. Visiting Rome and its different neighbourhoods is a way to time travel. Each neighbourhood has a different reason to visit it, from Roman ruins to an amazing nightlife.In this article, we’re looking at the different parts of Rome so that you know where to go and what there is to visit when you do. Discover the best places to go, where to stay, and what to do. DanielaItalian Teacher 5.00 (9) £50/h1st lesson free!Discover all our tutors LuciaItalian Teacher 5.00 (4) £17/h1st lesson free!Discover all our tutors MarilùItalian Teacher 5.00 (8) £22/h1st lesson free!Discover all our tutors MarcoItalian Teacher £15/h1st lesson free!Discover all our tutors AntonellaItalian Teacher 5.00 (2) £14/h1st lesson free!Discover all our tutors GiusyItalian Teacher 5.00 (3) £25/h1st lesson free!Discover all our tutors EnricoItalian Teacher 5.00 (2) £20/h1st lesson free!Discover all our tutors FedericaItalian Teacher 5.00 (2) £30/h1st lesson free!Discover all our tutorsAncient RomeWith the Colosseum and the Roman Forum, the ruins of Ancient Rome are fairly well conserved and every tourist in Rome should visit the area. You can get the metro there and experience millennia of history from the Palantine Hill and Capitoline Hill. The colosseum is one of the best-conserved monuments in all of Rome. (Source: lizzieb33)With temples, statues, and other tourist attractions, this area is never quiet and tourists from all over Europe and around the world regularly visit it. The Roman Forum is the perfect place for any history lover and a timeless experience.Similarly, you can visit the Colosseum and find yourself in the middle of this monumental architecture. These are both essential attractions in Rome so don’t miss them!“The beating heart of Rome is not the marble of the Senate, it's the sand of the Colosseum.”The North of the City CentreThe northern parts of Rome are home to baroque architecture. This area is also home to many luxury boutiques and stores. It’s not uncommon to find Italians looking like they’ve come straight from Fashion Week here.Here are some of the best things to visit towards the northern parts of the city centre.The Spanish StepsTrinità dei MontiVilla BorgheseThe Borghese Gallery a nd MuseumVilla GiuliaThe Museum of Modern ArtPiazza del PopoloPincian HillMAXXI MuseumIf you’re interested in culture, this is the neighbourhood you have to visit. This is also where you’ll find the Rome Termini train station next to the Santa Maria Maggiore Basilica.The Vatican CityThe world’s smallest sovereign nation is also home to the Pope and the Holy See of the Catholic Church. It’s a must-see in Rome as there are several impressive monuments including St Peter's Basilica which offers an amazing view of Rome from the dome. While technically its own country, the Vatican is the world's smallest country with 800 residents and its own football club! (Source: vassilis738)The Vatican Museum is also one of the most popular sites and is home to plenty of works of art that have been collected by the church over the years including archaeological wonders, statues, and breathtaking paintings.You can also enjoy the Castel Sant’Angelo and the gardens (Giardini Vaticani) as part of a guided tour.TrastevereTrastevere didn’t use to be a popular neighbourhood for tourists but it’s now starting to draw in more and more people. This is to the west of the historic centre and can be easily accessed by Via Garibaldi.The area includes the Piazza Santa Maria de Trastevere, the Santa Maria Basilica, which has been around for nearly 1,800 years, and trendy stores and bars. You can also visit the Villa Farnesina which is home to works by the famous painter Raphael. There’s also an impressive botanical garden on the Janic ulum Hill.Find out more about how long you should spend visiting Rome.Fortunately, Emperor Claudius had a good idea of including it in Rome. There are plenty of things to discover:The Aventine Rose GardenThe Orange GardenThe Basilica of Saint SabinaThe Basilica dei Santi Bonifacio ed AlessioThe Pyramid of Caius CestiusThe Protestant CemeteryLots of street art.This is one of the greenest and nicest areas of Rome so don’t hesitate to walk around.The Historic CentreIt’s hard to know exactly which period you’re in when you walk around Rome’s historic centre. Renaissance, Medieval, and Baroque architectural styles are all present in this timeless place. There are also remnants of Imperial Rome such as the Pantheon and the Palazzo Altemps, both of which are essential visits. Rome is a hugely charming city. (Source: valtercirillo)You can also discover the Corso Vittorio Emanuele II, the main artery running through the neighbourhood, and visit the Piazza Navona with its fountain, the Piazza Farnese or the Campo de’Fiori, where there’s a large flower market.You can then head to the Palazzo Doria Pamphilj, the Portico of Octavia, the Marcello Theatre, and the Largo di Torre Argentina, which is full of cats!NomentanoNomentano includes many interesting neighbourhoods such as San Lorenzo, the student area and home to young Romans and a relaxed and festive atmosphere. You can visit the Papal Basilica of Saint Paul Outside the Walls, which has been well conserved despite the events of the Second World War.Just a few steps from the Aurelian Walls, you can enjoy a drink on a terrace or enjoy a night out. Unsurprisingly, this neighbourhood is also home to the Sapienza University of Rome, museums, and plenty of bars and restaurants.Find out more about the cost of visiting Rome.Esposizione Universale di Roma (EUR)The EUR area is the result of the fascist dictator Mussolini. It was built for the World’s Fair in 1942 but World War II meant that it never happened. Anyway, let’s look at the positives.Now, it’s home to ministers, administrative buildings, and museums. There are several great things you can visit here:The Colosseo Quadrato (Square Colosseum) or Museo della Civiltà Romana (Roman Culture Museum)The Church of Saints Peter and PaulINA and INPS palaceOffice palacePalazzo dei Ricevimenti e dei CongressiMuseo Nazionale dell'Alto Medioevo (National Museum of the Middle Age)Museo Nazionale Preistorico Etnografico Luigi Pigorin (Prehistoric Ethnographic Museum)Don’t hesitate to visit this out-of-the-ordinary area.Rome’s Modern CentreRome’s Modern Centre is around the Termini station. It’s quite touristy due to the Trevi Fountain and you’ll find tourists throwing in plenty of coins hoping that it’ll bring them good fortune . If you go, don’t get ripped off by street sellers who are looking to flog you overpriced tat. The Trevi Fountain is one of Rome's most popular tourist attractions. (Source: PublicDomainPictures)Aside from that, you can also find museums such as the Museum of Contemporary Art of Rome, the Palazzo Massimo, the Palazzo Barberini, the National Museum, and the Quirinal Palace. You can also enjoy the Baths of Diocletian, which date back to the 3rd century.This area is easy to get to using Rome’s metro.Now you know a bit more about the different areas in Rome and will be able to enjoy the dolce vita when you go for your next holidays. If you want to learn more about Rome, don’t hesitate to check out our other articles on it. You could also get private Italian lessons from a private tutor on Superprof!There are three main types of tutorial available on the platform: face-to-face tutorials, online tutorials, and group tutorials. Each type has advantages and disadvantages and what might be right for one student may not be right another.Face-to-face tutorials are between the tutor a nd the student and are the most cost-effective type of tutorials available. This is because your tutor spends every minute of the lesson focusing on you and the lessons and course are tailored to you.Online tutorials are similar to face-to-face tutorials but take place remotely thanks to the internet. If you have a webcam, mic, and a decent internet connection, you can learn Italian online. Since the tutor doesn't have to travel and can schedule more tutorials per week, they can charge less per hour.Finally, group tutorials are useful if you're on a budget. Since multiple students are paying for the tutor's time and expertise, each student tends to pay less per hour. If you and some friends are wanting to learn Italian on a budget, group tutorials might be a perfect choice. Of course, you'll get less individual attention from your tutor.

10 Funny Italian Phrases That Will Have You Laughing Out Loud

10 Funny Italian Phrases That Will Have You Laughing Out Loud Sign up successful 2. Braccia rubate allagricoltura Translation: Arms  stolen  from  agricultural  work This funny Italian phrase refers to someone whos studying or doing some type of intellectual work, but doesnt quite know what theyre doing. In other words, this person is better suited for farm work. Ouch! 3. Non avere peli sulla lingua Translation: Without hair on his tongue Do you want your friends honest opinion? Then ask him or her to say it without hair on his tongue. Just be ready for the brutally honest truth! 4. Saltare di palo in frasca Translation:  To jump from a post to a pile of branches This strange-sounding Italian phrase is similar to the English expression going on a tangent. Use this phrase when your friend is rambling on and on about something totally unrelated, and you just want them to shut up! 5. Avere la botte piena e la moglie ubriaca Translation: To have the wine cask full and the wife drunk Similar to the English expression, to have your cake and eat it to, use this snarky remark when you want to give a friend a hard time! 6. Avere le braccine corte Translation: To have short arms Meaning to have short arms, this funny Italian phrase is used to describe someone as cheap. In other words, the persons arms are too short to even reach for his or her wallet. This phrase comes in handy when your friend mysteriously forgets his or her wallet and leaves you to pick up the check. 7. In bocca al lupo Translation: Into the wolfs mouth Another strange sounding phrase, this Italian expression means good luck or the  English equivalent of “break a leg.” 8. Essere al verde Translation: To be on the green Are you broke as a joke? Use this useful Italian phrase when you have to reluctantly call mom or dad and ask for some money. At least they will be happy youre learning Italian! 9. Fare le corna a qualcuno Translation: To have the horns put on you A popular saying in Italy, this expression means that your girlfriend is cheating on you. Sorry guys! 10. Tirare il pacco Translation: To throw the package The English equivalent of the expression to stand someone up, this funny Italian phrase means that your friend or date never showed up to meet you. If you want to sound like a native Italian, practice these common Italian expressions with your English-speaking friends. If nothing else, youre sure to have a laugh! 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  Asim Bharwani

Solving Polynomial Equations

Solving Polynomial Equations Polynomial in math means an equation containing two or more than two term. The word poly means many. Each term can consists of one or more than one unknown variables with different coefficients and constant numbers. Each variable can have different exponent values. The highest exponent is called as the degree of the polynomial. There are various mathematical operations which are used to simplify and solve the given polynomial. Example 1: Simplify the polynomial expression, 5 x4 2 x3 + x2 3 x + 2 when given x = 1. Solution: The above algebraic expression contains variable x with different exponents. Degree of the polynomial is equal to 4. So substituting x = 1 in the place of x in the above polynomial expression, we get 5 (1)4 2 (1)3 + (1)2 3 (1) + 2 5 (1) 2 (1) + (1) 3 (1) + 2; 5 - 2+ 1 - 3 + 2 = 3 The value of the above polynomial expression is 3. Example 2: Simplify the polynomial expression, x5 5 x3 + x2 + 5 x + 1 when given x = -1. Solution: The above algebraic expression contains variable x with different exponents. Degree of the polynomial is equal to 5. So substituting x = -1 in the place of x in the above polynomial expression, we get (-1)5 5 (-1)3 + (-1)2 + 5 (-1) + 1 (-1) + 5 (1) + (1) - (5) + 1; -1 + 5 + 1 - 5 + 1 = 1 The value of the above polynomial expression is 1.