Math: Page 17

First of all in the given question you have to write down the values of the total length of the line segment, PS=15. The length of the line segment, QR =3. Now you have to find the value of line segment RS. Because you know that the Q is the midpoint of the line segments PQ and QS must be equal. Therefore you can find out the length of the half of the segment using the midpoint. Subtract the value of QR from QS. Given that segment PS=15 and Q is the midpoint, you can conclude segment PQ=7.5...

You can do simple decimal calculation with out using a calculator once you understand the basic concept of decimals. In decimal equations when you have various operations between decimal numbers, you have to go by the order of operations in simplifying it. The order of operations states that you have to first divide, then multiply and at last add or subtract the remaining terms. You have to work the operations from left to right. Use a calculator only when you are required to multiply or divide...

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 easier than ever to follow in their footsteps (or just study for that next big test). With this free video math lesson, you'll learn how to graph a system of linear equations using a T-Chart.

Having trouble figuring out percentages? If so, you'd be well served to give this free math lesson 100% of your attention. After watching it, you'll be able to answer questions like, "What's 25% of 38?" or "What's 38% of 25?" For more information on calculating percentages with simple arithmetic, watch this free video guide.

This video teaches how to use calculus find the position, velocity and acceleration of an object. Imagine an object moving on a straight line. It's position at any time (t) is given as s(t) pronounced "s of t". It's velocity is v(t)= s'(t) which is the derivative of s(t). It's acceleration a(t) is the derivative of its velocity v'(t). If we look at it from a different perspective we are differentiating. The derivative of the position is its velocity, the derivative of its velocity is it...

When you have to find the average of two or five numbers then you have to add all the numbers and then divide then by two or five respectively. However in the case of the function you have infinite many values over any interval. But it is not possible to add all and then divide by infinity. Therefore you have to calculate in a different way. Imagine that you have to find the average of y=f(x). Then you have to average it from the interval from 'a' to 'b'. The inner area under the curve shall...

This video shows us how to use a formula to find the area of a parallelogram. The formula for finding the area of parallelogram is the same as finding the area of rectangle or a square which is equal to length time's breadth. But the parallelogram looks a bit different and the parallelogram is basically a rectangle but it is not at right angles. If you draw two altitudes then it is a rectangle with two triangles and if you cut one of the triangles and paste it next to another triangle then we...

In this video the math teacher explains the meaning of the indefinite integral formula in calculus by stating it in terms of antiderivatives. He then shows in general terms how this indefinite integral formula has a related derivative formula, i.e. if the derivative of F(x) is f(x) then the indefinite integral of f(x) is F(x) plus a constant term (C). With this general relationship the teacher takes us through three related examples where he converts a derivative formula to an integral formula....

This video demonstrates how to do anti-differentiate functions with radicals in calculus. To simply problems, try to substitute. For example, in the problem, the integral of x times the square root of x plus 2 dx. You can substitute w for everything underneath the radical: i.e. x + 2. When you simplify, it becomes: the integral of x times the square root of w dw. Now, you need to get rid of the x, which you can do with a substitution: w – 2 = x. Now, plug in the values and simplify it. The...

To find out the density of any given object there is a simple equation, mass divided by the volume equals the density. In this video a lady is showing how to get the volume of three objects using water. First the objects are measured on a scale to find out how much they weigh, the mass. Next each one of the objects is placed into a measured amount of water to find out the volume. Before you place the object into the water you will want to know just how much water in there. That way when the...

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 easier than ever to follow in their footsteps (or just study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to sketch the graph a square root function.

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 easier than ever to follow in their footsteps (or just study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to work with the quadratic formula on your graphing calculator.

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 easier than ever to follow in their footsteps (or just study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to rationalize a denominator.

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 easier than ever to follow in their footsteps (or just study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to solve problems with the Pythagorean theorem in geometry.

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 easier than ever to follow in their footsteps (or just study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free statistics tutorials, you'll learn how to use visualize data by graphing it in a box-and-whisker diagram.

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 easier than ever to follow in their footsteps (or just study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to use statistical range, variance and standard deviation to measure dispersion in a data set.

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 easier than ever to follow in their footsteps (or just finish your homework). With this three-part installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to sum rational expressions in algebra.

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 easier than ever to follow in their footsteps (or just study for that next big test). With this two-part installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to simplify rational expressions in algebra.

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 easier than ever to follow in their footsteps. With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to calculate the asymptote of a rational function in college-level algebra.

Proportions or ratios are fundamental concepts of mathematics. A proportions is an equation that states that two ratios are equal. Hence proportion can be written in two ways as a:b=c:d or a/b=c/d. In these equations a and d are called as extremes and b,c are called as means. So when working with proportions we can state that product of the means is equal to the product of the extremes i.e. a*d = b*c. This is obtained by cross multiplying the second form of proportions. In mathematics you are...

Quadrilaterals are four sided shapes that are closed. They are polygons. Quadrilaterals can be classified broadly in two ways. If the quadrilateral has a two pair of parallel sides then it falls in to the parallelogram category. Further now it can be broken down in to other shapes like square, rectangle, rhombus. If it has only one pair of parallel side then it falls into the trapezoid category. To compute the are of a trapezoid first you need to know the lengths of the parallel sides. Add the...

In this video he just explained about how to solve an algebra problem. The problem is -7+13x=58. He just solve the problem in simple steps. First you find out the x in this problem. To find out x you just add 7 to each side. Then it will be -7+7+13x=58+7. Then the equation will be 13x=65 because in the left side of the equation -7 canceled by +7 so then the equation is 13x=65. Next you just add the divide by 13 each side of the equation. Then the equation will be 13x/13=65/13. Then 13 divided...

In this video, Mr. Maisonet provides a quick and easy method for calculating the area of a trapezoid. In the first step, The lengths of the two bases (the two sides of a trapezoid that are parallel to one another) are averaged. The lengths of the bases are first added together, and the sum is divided by two, yielding the average. The average is then multiplied by the height. The resulting product is the area of the trapezoid. This method for finding the area of a trapezoid is mathematically...

The aim of the video is to show how to reduce a fraction by factoring out prime numbers that are common to both the numerator and the denominator. The example shown in the video is 27/21. The number 27 can be achieved by multiplying 3 by 9 and the number 21 is the result of 3 multiplied by 7. The common factor, therefore in both the numerator and the denominator is 3. 3 on the top divided by 3 on the bottom is 1 and so this can be removed without affecting the value of the fraction, leaving...

In this video, you will learn how to find the area of a rhombus. The formula is A = 1/2 d1 * d2. The d1 is the diagonal inside the rhombus, while d2 is the other diagonal inside the rhombus. You will need to find the length of these lines in order to complete the formula. For example, if one length is 5 and the other is 4, then you should plug in the numbers into the formula. This will equal 20 divided by 2, or 10. 10 units squared is the answer to this particular problem. Viewing this video...

Parallelogram is a quadrilateral in which both pairs of the opposites are parallel. To find the area of a parallelogram first draw the diagram of a parallelogram. Parallelogram can be further divided into squares and rectangles. To calculate the area of both of these kinds of parallelograms multiply the length of the parallelogram with its height. In general the area of a parallelogram in obtained by multiplying the base of a parallelogram with its altitude. In square and rectangle cases, their...

Percent problems, also called as proportion problems, are simple problems where you deal with percentages. Given a percentage problem you may need to identify the percentage, the part or whole quantity from it. You can use the proportion or percent equation to do this. Proportion equations says that the ratio of part to the whole is equal to the ratio of percentage to one hundred. Percent equation says that the product of the percentage in the decimal form and the whole gives you the quantity...

This video shows you how to calculate the percentage yield in chemistry. To find the percentage yield, you will need to divide the actual yield by the theoretical yield. Then, multiply it by 100: i.e. % yield = actual yield/theoretical yield x 100. An actual yield is the amount of a substance produced in an actual laboratory experiment. It is based on an actual physical measurement of a quantity. The theoretical yield is the yield as is calculated on paper: i.e. through calculations. Therefore,...

This video explains the process of simplifying an algebraic expression with negative exponents. The video starts with an example of such an algebraic expression; the expression contains negative powers in both the numerator and denominator. The location of the negative exponents is first pointed out visually. Next, it is observed that there are like based or variables in both the numerator and denominator; however, it is explained that the numerator must first be expanded before the expression...

This tutorial describes the method to calculate the area of a triangle and a parallelogram To calculate the area of a triangle: 1. Draw a perpendicular line from the base to the top vertex of the triangle.2. Measure the length of this perpendicular line and call it as its height.3. Measure the length of the base of the triangle.4. Area of the triangle is equal to half the product of the height and the base. In other words, Multiply the height and base. Divide the resultant value by 2. This is...

First of all cut of the top and the bottom of the cylinder to get two circles. Now take a scissors and cut of the cylinder into two halves from the top to the bottom as shown. Now you get a rectangle shape. You can easily measure the length of the cylinder but to measure the base is a problem. So mark a point on the table with tape and also make a mark on the can or the object you want to measure. Now place the two points over each other. Now use a ruler as a guide and move the can so that the...

This video shows how to use optimization methods in calculus. Optimization means finding the maximum or minimum values of a quantity or finding when the maximum or minimum occurs.What quantities are optimized in economics?we want to minimize costs or maximize revenue.First steps in any optimization problem1.Identify the quantity to be optimized i.e., read the problem exactly what is exactly maximized or minimized.2.Identified the feasible domain. This is important because the math we can...

In this video they are showing how to use proportions to solve word problems. In the first example they used 2/3 is equal to x/6. To solve for x, you begin by cross multiplying setting up and equation 3x=12. Next, divide 12 by 3 which equals 4. So x equals 4. In the next example, she has given a situation where she is making a ranch dip using a ranch powder and sour cream. She want to use 80oz of sour cream and she wants to know how much powder ranch she will need. She know that for 16oz of...

The way to convert 0.300 Moles of water into Grams is to start by writing what you have. Then put grams on top and moles on the bottom, then put one by the mole, the omler mass goes by grams. Now you figure out the moler mass of water which has 2 H and 1 O, its 2 times 1 which is the atomic mass for hydrogen plus 16.0 for oxygen which gives a total of 18.0 g/mol. So then you insert the 18 up by the grams, now you can cancel out the moles and multiply 0.300 times 18.0g and it gives you 5.40 g,...

Learn how to easily convert percentage values into decimals in this quick video. When converting percentages it is important to remember that a percentage simply means to divide by 100. For example, take 5%. That means 5 divided by 100 or 0.05. These can easily be done on your calculator once you understand the meaning of percentage. Another example, let's take 23%. Divide 23 by 100 and you get .23. Finally, as a last example takes 99%. Take 99 divide it by 100 and the answer will come out to...

In this video the tutor explains a four strategies for standardize tests, complete with examples of each, explained fully. The first strategy to prepare for the math section of the PSAT, is simply reading the question, and understanding what the question is asking. The second strategy the tutor recommends is that, for some questions, you choose your own numbers. One more strategy suggested is to use the figures and diagrams. The final strategy shown in the video, is to "plug in answer choices."...

This video demonstrates how to solve algebraic equations of the first degree for the variable, "X"; in other words, the variables contained in these equations are not raised to any power other than one, which is implicit. The video starts out with an example of such an algebraic equation. Before beginning to solve the equation, the video explains the meaning of the equals sign, the definition of an equation, and what a variable is. Next the video explains what is meaning by "solving for X". The...

In this Education video tutorial you will learn how to solve a word problem that involves proportions. To solve such problems you got to express the scenario in proportions. For example, in the problem, 'Jacob ran 10 miles in 80 minutes'; this rate can be expressed as 10miles/ 80 minutes. The second part of the problem is to find out 'at that rate how far would he run in 2.5 hours'? 'How far' being a variable, write it as 'x' and this can be expressed as x/ 2.5 hours. So, the complete equation...

A good place to start when you want to learn how to find a midpoint of a line is a circle. Take the diameter of a circle, for instance if the coordinates of the starting point are (1,6) and the coordinates for the ending point are (11,6). The midpoint of a line is the exact central point where a line through these two points would meet. Now the value of y is a constant one as the line runs parallel to the x-axis, the value of x changes by 10, the half of which is 5, this is not the midpoint...

Brightstorm explains how to use definite integrals to find area. There are two basic area problems: one in which the area lies between the function and the x-axis, and one where the area lies between the two functions. In the first case, if the curve lies above the x-axis for x=a to x=b, the definite integral returns the area. If it lies below the x-axis for x=a to x=b, then the definite integral returns a negative area. In the second case, we assume that f(x) is the higher curve and g(x) is...