In order to simplify complex variables, you must first consider the numerical values separate from the variable. In the case of 24x/48x, you would look at the numbers alone to see if they have any factors. These numbers have the number 6 in common. So, divide it by 6. This will give you 4/8. This still requires some simplification. Two is still a factor for both. So, divide it again by four. This will give you 1/2. Now, if the numerator was raised to the second power, in the original equation...
Single crochet stitches sound easy, but when many are knitted together into a pattern you get a very thick and heat-resistant surface. That's the idea behind this simple beginner-level crochet project for crafting a granny-style potholder out of a single crochet stitch.
Learn how to take a quadratic equation in standard form and change the trinomial into a binomial product. Using the zero product rule, the zeros of the graph can then be found. The grouping method is effective when the leading coefficient (the number factor of the squared term) is some number other than 1 (one). From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easi...
A factoring problem that has to be solved by grouping is easy to identify, because you can always identify if there are any similar terms in a polynomial. Now, if you find any variable common in any terms pull them out as the common leaving the rest of the terms. After pulling out the common terms you can group the rest of the polynomial. Be careful while pulling out signs. Pulling out a positive number does not effect the signs of terms in the polynomial, where as pulling out a negative numb...
Radicals are square roots which are not integers; the square roots of 2 or 3 are examples of radicals. The presenters show simple ways of how to add and subtract such radicals. They explain that by using the method of factoring, the addition or subtraction is made very easy. If the square root of 8, for instance, is in some addition sum, it can be factored into the square root of 4 times the square root 2. Since we know that the square root of 4 is 2 this can be simplified to be 2 times the s...
In this video the instructor shows how to simplify radicals. A radical is nothing but another name for a square root. To find the square root of a simple number the first thing that you need to do is factor it. If you need to compute the square root of a number, you first need to find a number which multiplied by itself gives the original number under the root. For example, to find the square root of 9, you need to find a number which multiplied by itself gives 9. Here the answer is 3. When 3...
This is a great instructional video on how to do inspect a boiler at home. A home inspection must include the boiler and heating system. What you need to look for are corrosion, pressure and blockages. When you buy or sell a house it is better to go in for a boiler inspection. The condition of a boiler depends on many factors. The age factor is also one of the reasons that cause the efficiency of the boiler decrease considerably. If there is some leakage in the pipes it might affect the press...
This video shows the method to add rational expressions with different denominators. The first step in this process involves finding the LCD. After this is done, the numerator and denominator are multiplied by a specific number so that the fractions are rewritten with common denominators. In the second step the numerators are added or subtracted according to the problem with LCD in the denominator. Simplify the numerator by adding or subtracting like terms. After this, we get a rational expre...
The video describes the basic process of multiplying two rational expressions. The problem illustrated in this video involved multiplying rational expressions of monomial terms with integer coefficients. As with the other example problems, we follow the steps of: factoring, canceling, and multiplying. Because these terms are monomials, no factoring is required (but we still state it as a step for similarity to solving other problems). We then find the greatest common divisor for both terms to...
One can learn, from watching this video, how to multiply and divide fractions. Prof. Alexander gives a discourse on multiplication and division of fractions in a simple, easy way. For multiplication, one should first look for highest common factor in the numerator of one fraction and the denominator of the other, and vice versa, and if found, carry out the reduction by that factor. Then the numerator of one fraction is multiplied by that of the other fraction, the same operation is carried ou...
This video will show you how to carry out multiplication of fractions using cancellation, which will make your fraction multiplication problems simpler to solve. You will need to look at the numerator of the first fraction and the denominator of the second fraction and see if you can find a common factor between the two numbers. If one does exist, you can simply divide both numbers by that common factor and simplify. Repeat this for the other numerator and denominator and if possible, your fr...
This video teaches you how to use APT (Arbitrage Pricing Theory) models and formulas. This video shows two specific parts of the APT models the first being the after the fact version and the before the fact version. The before the fact version is focused on as being the most important which is used to calculate expected returns to calculate risk. It is discussed how flexible this model is and how different factors can be moved in and out of the formula and how each different factor is used. T...
Don't get us wrong - we love Valentine's Day. After all, it's the one day of the year you can lay everything down on the line and tell someone "I love you" earnestly. But if you happen to be single on Valentine's Day, the occasion can seem more S.A.D. (Single's Awareness Day) than all hearts and roses.
We don't know about you, but we're wondering how the hell Katy Perry even has time to work out these days with the countless number of promotional appearances, hostess jobs, planning a wedding, and singing gigs she's doing on a daily basis. But, after looking at a few recent pictures of the singer's fit and curvy body, she must be doing something to keep all that in shape.
Granny squares are lovely on their own and make funny indie chic coasters, but sometimes it's nice to attach a bunch together and create a quilt or afghan. So after you've crocheted your pretty granny squares, take a look at this tutorial to learn how to attach granny squares together using a single crochet.
Learn how to do speed double and single line hops. Presented by Real Jock Gay Fitness Health & Life.
Much like Facebook, the five picture frames located at the top of each Google+ profile can be repurposed to display a panoramic picture or pano. This tutorial will show you how to break up a single image in Adobe Photoshop that combines at the top of your Google+ page to show a single image.
Being more physically gifted than your opponent is only part of successful tennis. You have to have a keen mind well versed in the tactics of the game as well. This video will teach you some basic tactics for singles tennis that will help you win matches you would have lost otherwise.
Blocking is the single most important part of offensive football. Before there was passing or catching, there was blocking, and it is the only thing that is a part of every single offensive play on the field. This video for youth football coaches demonstrates the fundamental of proper blocking and how to teach these fundamentals to young football players.
Kipkay from Make Magazine shows us how to create a photographic illusion, making things look smaller than they really are with tilt-shift photography. Materials needed include rubber plunger, an oversized lens, a plastic body cap, a single lens (or digital single lens) camera, a hot glue gun, a sanding file, and a disposable object for a plastic backing, such as a VHS tape case. With this great tutorial and a little work, create the illusion of a miniaturized world with this photographic tech...
This short crochet tutorial shows you a variation on the simple single stitch. If you want your project to have a relatively even surface, you can use the flat single stitch as taught in this video to join your granny squares together.
After you've mastered the basic double stitch, this tutorial shows you how to execute the single crochet stitch. Single stitches are smaller than double stitches, and used often for baby accessories and other small projects. It takes awhile, but adds a lovely touch to your project!
If you've been waiting for the college football season to arrive or need to get your hands on some football, then NCAA Football 11 may be what you need. This video game has made some changes since the last installment and is even being considered better than the Madden series. Whatever the argument may be, this game is perfect for any football fan.
In this video tutorial episode of "Techniques with Todd" we talk about single string technique. Single string electric guitar techniques are important for getting the heavy metal sound or just to impress others with your fast fingers.
In this video, we learn how to crochet a left handed dainty angel. Use a size H 5mm crochet hook. Add a slipknot to the crochet hook, then chain three, join, and chain one. After this, work 6 single crochet through the center of the chain three. Next, join two single crochet for each stitch around for a total of 12.Now do 12 more single crochets and work an additional round with the single crochet. Continue this process until you finish, then create the dress by doing the same type of crochet...
Calling all crochet-loving beginners! In this two part video tutorial, learn how to make the single crochet stitch and the first row of a sampler scarf, as well as the second row of a sampler scarf. Steps are gone over step-by-step for those of you who are beginners. Good luck with your start!
You already know the mechanics of DJing, but you want to be an international celebrity -- or at least drink for free while showing off your music collection. Here's how to spin your hobby into a career. Watch this video to learn how to become a professional club DJ.
Two-factor authentication (also known as 2FA) adds a necessary additional layer of security to your username and password in many important apps. On Instagram, 2FA requires you to confirm it's you attempting to log in, with a special code sent to you via text message. Enter the code and you're in ... but what happens when you need to log in and don't have access to your phone?
If you didn't get the memo, passwords aren't enough protection for your online accounts. Even a long and complex password offers only one line of defense which can falter. Two-factor authentication adds an additional layer, bolsters your defense, and decreases the risk of your account becoming compromised.
As great as the Internet is, it is not without its dangers. Hackers at any time may be breaking into your online accounts and compromising your sensitive information. Last year, hackers broke into Facebook, Gmail, and Twitter and made off with 2 million stolen passwords.
In this video, Sierra Snowboard gives us some tips on how to select the snowboard that's right for you. Each board comes in a number of different sizes, and most boards come with a size chart specific for that board. These charts can be vague, but are good starting points for selecting your size. One thing to consider is your bossy type. The weight of the rider is the primary factor in selecting the size of a snowboard. You'll notice that the height of a rider is not listed on a size chart. I...
In this tutorial, we learn how to crochet a round shell Catherine's Wheel left-handed. For the first round you will start by doing four single crochets after the slip stitch. After this, do seven double crochets, then a single crochet followed by seven more double crochets. Make two more chain stitches, then a single crochet and three double crochets. After this, start the next row which will be a chain stitch, then three double crochets. Next, you will do seven double crochets, followed by a...
Learn how to focus on a single mix when on the decks. While DJing might appear simple to the untrained eye, truly mastering the turntables requires as much time and dedication as mastering any other instrument. Fortunately, the internet is awash in free video DJing lessons like this one, which make the learning process easier than it's ever been. For more information, including detailed, step-by-step instructions, take a look.
In this tutorial, learn how to beat the media hype and go back to an old fashioned single blade razor. If you use a single blade razor, you will actually get a smoother, closer shave then the fancy multi-blade models, contrary to popular belief.
Donna teaches how to do a front-post, back-post crochet stitch. First of all you'll need yarn and a hook. Start with a single crochet. Donna uses white to create the single crochet and to create a heart, goes over the single line with pink to create a double crochet. To create the double line, go around and through. from front to back, through the single post. Always have the yarn going through the same side. The basic method using the pink, is to make the design in a "V" shape. Using this me...
The method demonstrated in this how-to video makes the Bowline knot quick and easy to tie. It is useful when you expect a blow and need to take a few turns around your winch to use as an additional hardpoint. In this case I am simulating a mast winch but the process can be used on a horizontally mounted winch as well. The secret is to form the bowline eye by capsizing an overhand knot. With the standing part in your left hand form a turn around the winch from top to bottom then cross the runn...
Want to learn how to crochet? Then watch this how to video to learn some of the basics of crocheting. Once you have mastered the basic single chain stitch you can try the single crochet stitch. The single crochet stitch is very simple to do, just follow along with the video.
Sewing is an expensive enough hobby without having to factor in repair costs, as well. You can save money (and have more cash to spend on fabric and notions!) by fixing your own machine at home. This video shows you how to clean and fix the bobbin case area, which can often get cluttered with lint and fuzz.
If you're like us, you always begged your parents to let you get a parrot (What? They make you look like a pirate when perched on your shoulder), but they never consented because of the noise factor.
Learn how to choose ladies underwear. There’s a lot more to picking a pair of panties than thinking they look cute in the store. This video outlines all the different factors in choosing the perfect panties.
