Education: Page 33

This video shows the method to write a logarithm as a sum or difference of logarithms. The square root of the term given is taken out as half according to the rule. Then the numerator and denominator is divided into product of factors. This is broken into the difference of numerator and denominator according to the rule. Finally, the product of factors is expressed as the sum of factors. Now we see the domain of the term. As the term is a square root of the term it should be greater than zero....

A line is defined by two connecting points on a graph, and intercepts are the points on both the x- and y-axis, where the line intersects. This video tutorial demonstrates how to graph lines using x and y intercepts in a given area. This instructional video also graphs various examples of equations and explains the associated methodology.

To figure out a tip without a calculator, first remove the pennies amount in the bill. For example, if your bill is $23.76 becomes $23.70. To figure out a 10% tip, move the decimal point one place to the left. So, 23.70 becomes 2.370 or $2.37. Bump up that number to $2.30 or $2.40 or $2.50 cents, depending on your preference. Since 20% equals two times 10%, double the figure you computed for 10%. So, $2.30 becomes $4.60, or $2.40 becomes $4.80 or $2.50 becomes $5.00. Using this method, you...

Learn how to balance chemical equations with MyTutorBuddy. Learn about this in this video tutorial. There are four easy steps to do this. Step #1 – place 1 by the most complex compound. Step #2 – balance anything that is not an element. Step #3 – balance the elements. Step #4 – multiply by the lowest common multiple. The 4th step doesn't always come in to play. The video demonstrates with an equation: C3H8 + O2 -> H2O + CO2. But, this equation is not balanced. Using the 1st three steps, the...

This video demonstrates the easiest and fastest smoke bomb that a person can make. Supplies include aluminum foil, standard ping pong ball, a pen or pencil, and a flame lighter. Wrap the ping pong ball with foil, being extra careful not to tear the aluminum foil. Use the pen to create a funnel shape with the foil. Remove the pen. Now, light the bottom while holding the top. The smoke is toxic, so don't inhale. Make sure the smoke bomb is on a non-flammable surface as it gets very hot. ...

You can solve 3 equations having 3 variables. Here are the 3 equation examples: x+2y+z=10. 2x-y+3z=-5. 2x-3y-5z=27. The goal is to reduce to 2 equations having 2 variables. Multiply bottom equation by (-1). Rewrite 2nd and 3rd equation. 2x-y+3z=-5. Add -2x+3y+5z+-27. Equals 2y+8z=-32. Go back to original equations and multiply by (-2). Then you have -2x -4-2z=-20. plus 2x -y +3z. When you add these 2 equations, the answer is -5y +z = -25. You have now reduced the equations from 3...

This is a very interesting educational video on how to find the factor trinomials using the swing method. Let us take an example and find the factor trinomials for 2xsquare-13x-45. Let us use the swing method. So now we will get 2xsquare -13x-45. You have to find the suitable factors of 90. It is 18 and 5. If you multiply 18 by 5 you will get 90. You will get (x-18over2)(x+5over2). The final answer is (x-9)(2x+5). Now we have found out the factor trinomials of 2xsquare-13x-45. This swing method...

On yourteachermathhelp teaches you how to use math rotations in pre-algebra. In this example, the shaded object represents the original one, while the empty object is the new, rotated one. Here, the original object has suffered a quarter of a turn, or a 90 degree turn. You can see that the top of the shaded figure or object has been turned to the left. This is in the opposite direction in which the hands of a clock move. This translates to a 90 degree turn in the counter-clockwise direction....

[http://www.youtube.com/watch?v=AkGzRsvPDt8] A method for solving a linear system with no solution is described. The method is described in 4 steps. The first step in the method is designed to solve a linear system that is described consist of "solving by graphing". Details for "solving by graphing" first consist of finding points to graph using two different equations. The second step in the method consist of placing the points from both equations on the same graph in order to find out if...

This video revolves around solving rational equations in Algebra 2. When you are given a rational equation, you have to find the greatest common factor and multiply all fractions to get that common factor. If a fraction already has that common factor, then no further step is necessary for that one. Next, you have to multiply all fractions by the greatest common factor to get rid of all denominators. Finally, the remaining equation is simple math and you only need to solve the equation for the...

The man was requested to solve a short, basic chemistry exercise. He starts by explaining the meaning of the terms involved in the problem: molecular mass, empirical formula and molecular formula. He also explains the way the are connected, for a better understanding of the way the exercise is solved.Using a sheet with all the operations used in finding the solution, he explains the exercise step-by-step, showing the viewer only the current operation.The steps he uses for finding the final...

In this video tutorial, viewers learn how to simplify expressions involving algebraic ratios. In some ways, simplifying algebraic radicals is easier than numeric radicals. When we are working with square roots, we need to find the highest even power of a variable to act as out perfect square. When working with cube roots, we look for the highest multiple of 3 as an exponent for our perfect square. This video is very descriptive and clearly explains all the functions of the formula. This video...

This video is a simple math video showing how to add and subtract fractions using different denominators. It begins with a man explaining briefly and sitting in front of a piece of paper. He writes out a group of fractions each one with different denominators, ending in three and five. To add appropriately, on must find a common denominator, which is fifteen. So he multiplies each by five and three, raising the denominators to fifteen. This will raise the fractions to six-fifteenths and...

First you need to make hydrogen gas which require a few material. Such as a glass bottle, a Full table spoon of aluminum (beer or soda can will work), a half a cup of cold water, a table spoon or two of caustic soda, a funnel, a medium size container of water, a way of cutting the aluminum, one or two balloon's, and some safety glasses just incase something goes wrong.Begin by cutting the aluminum into small snips until you have about a tablespoon, then put it into the glass bottle. Put in your...

The video describes an easy at home process for making smoke bombs.

In this video tutorial, viewers learn how to calculate the standard deviation of a data set. The standard deviation of a statistical population, a data set, or a probability distribution is the square root of its variance. To calculate the standard deviation, users will need to follow these steps. 1) Find the mean of the data. 2) Subtract the mean from each data point. 3) Square each of the values you got in step 2. 4) Then find the mean of the values you get from step 3. 5) Finally, square...

The author teaches us how to graph the linear equations with tables. Given a set of linear equations in terms of "x and y", first we have to draw a table having a column each for x and y. We have to enter an arbitrary value of x in that table and substitute that value in the given equation to get the corresponding y value. Once you obtain both x and y values, the next step is to plot them in a graph. Consider an example: in the linear equation x=2y,on substituting an arbitrary value of x=2,we...

Olivia and Andrea created a song to the tune of "I'll stand by you" by the Pretenders to teach you how to balance chemical equations. A chemical equation requires coefficients in order to be balanced. You can balance a chemical equation by making use of the Periodic table. The example reaction in the song is that of aluminum and oxygen to produce aluminum oxide (Al + 02 -> Al203). You can systematically add coefficients to the reactants and products to balance the equation. A chemical equation...

In this video the instructor shows how to find a formula describing direct variation between two variables. Variation between two variables can be either direct variation or indirect variation. If a variable y is in direct variation with a variable x we can write the general equation between them as y = k * x. That is as x varies, y varies directly in relation to x, as a multiple of x. Now if you have the values of y and x, you can substitute them in this general equation which gives you the...

This video tells us about annotated bibliography, what it is and its elements. Annotated bibliography is basically an evaluation or an assessment of the article you have read. To make an annotated bibliography there are four steps. The first one is to provide the source, the author, where it comes from and the title. The second step is to summarize your reading. The third step is to show that you know what type of article it is, and that means that you have to assess your resource. The fourth...

Omar, Hayley, Gary, and Autumn teach us how to use a protractor. They give a bit of information from About.com on the history of protractors. They are used to measure angles. The first protractor was used to help with navigation and invented in 1801. To measure an angle, line up the base of the protractor with 1 line of the angle. The center circle should be on the vertex of the angle. Use the "swivel thing" to find what degree the other end of the angle lines up with. If there isn't one, you...

In this video tutorial the instructor shows how to solve exponential and logarithmic equations. Solving exponential equations can become very difficult if it involves large numbers. To solve these kinds of complex equations you need to get all the numbers to the same base number. The base number raised to some number should give you your original number. Now if you write the numbers as exponents of your base number you can directly equate the exponent part and solve for the missing variable. So...

In this video tutorial, viewers learn how to make "hot ice". Begin by adding water into a pan and heat it until it's simmering, but not boiling. Add the sodium acetate to the water. Keep adding the sodium acetate until the water cannot dissolve it anymore. Stir constantly. Now pour the solution into a glass or container. Do not pour in any undissolved crystals. Place the solution into the refrigerator for 45 minutes. Now pour the solution into a container. The liquid will instantly turn into...

In this video, the instructor shows how to factor trinomials. An equation is a trinomial if it has three terms. If you factor a trinomial, you are left with two binomials which are the factors of the original trinomial. Multiplying them would result in the original trinomial. Now factor the last numerical term such that the sum or difference of those factors gives you the numerical coefficient of the middle term. Now split the middle term according to the factors obtained in the previous term....

This video explains the properties of parallel lines and transversals in geometry. The instructor, Robert Ahdoot, uses an analogy in which he compares lines and transversals to the streets of Manhattan, New York. Continuing with this comparison, he goes over corresponding angles of two parallel lines cut by the same transversal, also explaining when they're equal. He then shows where interior and exterior angles may be found, and then goes over whether two angels are same-side or alternate,...

In this video tutorial, viewers learn how to graph a linear equation in 3 different ways. The first way is to use the table of values. It is the slowest method but it always work. It is the most useful. The second way is to use the slope-intercept. It is more faster than the table of values and is very versatile. The third way is to use the intercept-intercept. It is the fastest and easiest method to do. This video will benefit those viewers who are learning about graphing in mathematics and...

A basis of algebra, slope intercept form can easily bring your equation to a graph with ease. This video will show you exactly how to graph equations using the slope intercept form.

In this video the instructor teaches how to add and subtract integers. When adding or subtracting two numbers there can be four kind of situations depending on the signs between the numbers. When you are adding two numbers which are both positive then you move forward on the number line adding the two numbers together to give the result. Similarly when adding two negative numbers together then you move left side of the number line. Go to the left by the value of first number and go further left...

In this video the instructor shows how to multiply and divide integers. When multiplying or dividing two numbers if the signs of the two numbers are same then the sign of the result is a positive number. When multiplying or dividing two numbers if the signs of the two numbers are not same then the sign of the result is a negative number. So a positive number multiplied by a positive number gives a positive number. Similarly a negative number multiplied by a negative number gives a positive...

In this video the instructor shows how to compute percentage problems. Percentage was first used in ancient Rome when the emperor Augusts levied a 1/100 of a tax on goods sold. To solve percentage problems you need to know how to convert between percentages and decimals. When you have a value in decimal, to convert it into percentage, shift the point two decimals to the right. To convert from percentages to decimals, shift the decimal two places to the left. For example to convert .50 to...

This video deals with solving quadratic functions. It does not involve the use of the quadratic equation; rather, only factored equations are used. The speaker starts out with a factored quadratic equation. The speaker goes on to do the mathematical steps necessary to find both the x and y intercepts of the quadratic function at hand. The author then continues on with the example to find the function's minimum. Next all of the points that have been solved for are plotted and the function is...

User DayTeacher helps you understand integers and the number line. When numbers were conceived, man had the basic concept of small numbers. The first things you learn in a language are numbers. The weather might have had an impact on numbers, as temperatures dropped below 0. When talking about years Before Christ (BC), you could say 1000 B.C. is actually -1000. Being in debt means negative money. Two days ago is -2 days from the time we are talking about. Integers are positive whole numbers,...

DVice posts six of the world's most powerful telescopes and, man, they are HUGE. Check it out.

This video from Yay Math! is a geometry lesson on how to complete a proof involving segments. He draws a line segment with four points labeled A, B, C and D. The problem is as follows: Given: AC is equivalent to BD. Prove that AB is equivalent to CD. The first statement of proof is the given. Next, you need to define the congruent segments and state that they're equal in measurement. Next, break down the segments: AC=AB+BC, and BD=BC+CD. This is called segment addition postulate. The end of...

In this video the instructor shows how to simplify a complex fraction. A complex fraction is a fraction that has fractions in both the numerator and the denominator of the original fraction. Complex fractions can look intimidating but are generally simple to solve, as shown in this video. A fraction is nothing but a division of its numerator and its denominator. So in a complex fraction basically you are dividing two fractions. Now you can turn this division into multiplication by multiplying...

In this video the instructor shows how to solve a 3 x 3 linear system using the Cramer's rule. In this kind of problem you are given three equations in three variables x, y, z and you need to solve for the values of these equations. You can solve this using the Cramer rule which says that the value of x is Dx/D, where Dx and D are two different determinate. Now you have to figure out the determinate to get the value of variable x. The determinate D is called the foundation determinate and is...

In this video the instructor shows how to factor a polynomial. A polynomial having three terms is called as trinomial. Now if you factor it you will obtain two binomials whose product will be the original polynomial. Before factoring a polynomial you need to find out if the polynomial has a GCF. Look out for the common variables in all the three terms and pull them out which is the GCF of the polynomial. This simplifies the original equation to a polynomial which is of lower degree. Now...

This is a great educational video on how to solve quadratic equations by factoring. Let us take an example and try to learn the method. Here is a quadratic equation: (r+7) (r-9) = 0. Consider zero-factor property. For real a and b, if a.b = 0, then a = 0 or b = 0 or both are equal to zero. So r+7 = 0 or r-9 = 0 > r = -7 or r = 9. Hence, r = -7, 9. Similarly to solve a quadratic equation (13r+7) (6r-18) = 0, we will get 13r = -7 or r = -7 over 13. Also 6r = 18 or r = 3. So r= -7over 13, 3. This...

Professor ElvisZap teaches you how to stretch shift and reflect the graph of a square root. A square root function is the opposite of a squared function. You start with y=square root of (x-1) it becomes 0<=x-1. then 1 <=x. You use the graph and solve it as you would for any function using small values first, then you have y=square root of x - 1, the domain 0<=x. This shifted the graph down 1 unit. 0=square root of x - 1, 1=square root of x, 1=x. Then the range is [-1 + infinity). Continue in...

Before you can find the area of any geometrical figure, recall what you are finding when you solve for the area. The area is the surface of a 2-dimensional shape. When trying to find the area of a right triangle, the easiest way is to first double the triangle so that it resembles a square. This is particularly important if you don't know the length of the hypotenuse. Using the knowledge that the area of a square is the length multiplied by the height, calculate the area of the square you...