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How To: Solve word problems involving exponential growth/decay

The first problem that is show is exponential decay. First you will need to create a table with hours and substance left. The next step is to find the trend by noting that we are left with a certain percentage of the substance. One you have the trend you will use this to calculate the amount of substance left in said hours, in this case 6 hours. The following example shows you how to solve exponential growth. It is essentially the same except for the fact that you will be increasing, so inste...

How To: Find the equation of a line in point-slope form

When you are given a point through which a line passes and the slope of that line, you can calculate the equation of that line. The general equation to solve this kind of equations is called as point-slope form. The point slope of a line passing through (a, b) with slope of m is (y - b) = m * (x - a). Now substituting the values in the above equation you can obtain the equation of the line in terms of x and y. In case you are given with two points first find the slope of the line which is the...

How To: Work with decimal numbers in prealgebra

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 divi...

How To: Use the AVERAGE IF function in Microsoft Excel

New to Microsoft Excel? Looking for a tip? How about a tip so mind-blowingly useful as to qualify as a magic trick? You're in luck. In this MS Excel tutorial from ExcelIsFun, the 145.75th installment in their series of digital spreadsheet magic tricks, you'll learn how to use the AVERAGEIF (AVERAGE IF) function to create a formula that will calculate the average when you have more than 1 criterion.

How To: Find density using the water displacement method

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 o...

How To: Use neutral density or ND filters

Photography is a fast growing hobby with the relative drop in prices of high grade equipment. The use of different filters in photography is a very common thing, and different filters have very different uses. The neutral density (ND) filter reduces the amount of light reaching the film or sensor. This allows the photographer to create different effects with the available light, allowing slower shutter speeds and larger apertures. The video helps explain the differences in shutter speeds and ...

How To: Quickly find the area of a trapezoid

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 s...

How To: Find the area of quadrilaterals

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, the...

How To: Calculate the weighted average of specific values

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,...

How To: Use Excel databases for home improvement calculations

New to Excel? Looking for a tip? How about a tip so mind-blowingly useful as to qualify as a magic trick? You're in luck. In this Excel tutorial from ExcelIsFun, the 236th installment in their series of digital spreadsheet magic tricks, you'll learn how to create a database for keeping carpentry measurements as well as how to use a COUNTIF function formula for calculating how many lumber pieces you'll need to cut for your home improvement project.

How To: Make a basic pant

In this three-part sewing tutorial, learn how to make a pair of pants that fit like a glove! In the first video, you will learn to take measurements and calculate measurements to plan out your pattern. In the second video, learn how to draw the pant pattern based on your measurement calculations, make a test pant and finalize your pattern design. Lastly, in the third installment of this series, learn how to sew on the zipper and button and stitch the legs of your pants.

How To: Identify the parts of a compass

The parts of the compass are a base plate with different measurements for calculating mileage and distance. The magnifying glass is used to magnify things on your map. The arrow at the top of the compass is called the direction of travel arrow. To find the degrees on your compass, use the rotating bezel ring, with North being "0", East being "90", South being "180", and west being "270". The magnetic needle inside has a red magnetic north end, which is used to locate "North", and the black en...

How To: Find the area between curves

This video shows how to find areas between curves. The basic idea is that we find the space trapped between two curves on a graph. The formula for finding this is top curve, subtract bottom curve and then integrate. The presenter shows a parabola that goes through the origin. Then he draws a line that runs through the origin. We try to find the area trapped between the two. You take your smallest x co-ordinate to the largest x co-ordinate, you take the curve on top (2x) and subtract the curve...

How To: Find the percent change using proportions

In this video, the instructor shows how to identify the percentage change using proportions. When a given quantity increases or decreases by certain amount then we can calculate the percentage change in the quantity, which can be either increase or decrease based on the new value of the quantity. To solve these kind of situations you should know that the ratio of amount of increase (or decrease) of an amount to its original amount is equal to the ratio of percentage increase (or decrease) to ...

How To: Find the greatest common factor, GCF

In this tutorial the instructor shows how to calculate the greatest common factor, or GCF. While computing greatest common factor, you are pulling out the smallest exponents of any common factors along with the factor. Finding the greatest common factor is similar to finding the least common multiple. When given any numbers to find the greatest common factor, the first step in the general procedure to be followed is to break each number down into its factors. You need to break down the number...

How To: Solve problems about linear equation

In this video the instructor shows how to write a linear equation. If you need to find the equation of a line that passes through the two given points then you need to find the linear equation of that line. The first step is to find the slope of the line that passes through these points. The slope can be calculated by finding the ratio of the difference of y coordinates to the difference of the x coordinates i.e. the change in y up on the change in x. Now substitute the value of slope and any...

How To: Find the parallel line to a given equation

This videos explains how one can easily find the parallel line to a given mathematical equation. He starts by explaining what it means for two lines to be parallel mathematically speaking. Defining two lines, then comparing the slope of both lines you can mathematically determine that they are in fact parallel. He then moves to common math problems found on tests where you are given a point and a linear equation. He then forms a T-table with one column being line one and line two and illustra...

How To: Slim down a baggy shirt

If you have a shirt you no longer wear because it is too baggy, make sure to watch this video to learn how to readjust it so that you can start wearing it again. Place the top on a level surface so that its back is facing you, as you will start working on the back part of the top. Calculate the width of the top and pinch a third from each side. Join these points that you marked towards the middle part of the shirt. The next step will then involve sewing these two points together at the back o...

How To: Convert temperature measured in Celsius to Fahrenheit

This video teaches how to convert a value in Celsius to Fahrenheit in simple steps. First take a paper and marker and keep in mind a Celsius value (e.g-32) to convert into Fahrenheit. Now use the formula to convert Celsius to Fahrenheit which is F=1.8(32)+32. Use a calculator to calculate the formula and you will get the result as 89.6 Fahrenheit. Now round it off the and your final result will be 90 degree Fahrenheit.

How To: Figure out circumference with given radius

Here Mr Misonet tries to teach to compute circumference of a circle when radius is given. First he convince you the formula. The circumference of a circle is proportionately equals to "pie" times of its diameter,where the value of "pie" is equal to 3.14 and diameter is equal to two times radius. Then he puts the value of the diameter of the given circle and calculate the value of the circumference and also make you understand how to multiply the numbers with decimals. And lastly he makes your...

How To: Work out the circumference of a circle

Simonc1973 teaches you how to work out the circumference of a circle. You start with a circle and draw a line across the circle. That's called the diameter. You multiply the diameter with Pi, which is 3.141. The video is even more amazing being taught by Harry Chapple, a 4 year old MENSA member, who is a maths child genius. He simply takes the ruler, measures the diameter and then calculates the result of multiplying it by Pi's value. The common value for Pi is 3.14. For very accurate results...

How To: Find the slope of a line given 2 points with fractions

In this video tutorial the instructor shows how to find the slope of a line given two points with fractional values. To do this first name your two points as point 1 with coordinates as x1, y1 and point 2 with coordinates x2, y2. Then substitute the values in the equation of the slope which is slope m = (y2 - y1) / (x2 - x1). Now all you have to do is simply the fraction after substituting the point values. Be careful about the signs while substituting in the formula. Now finally after solvin...

How To: Solve logarithmic equations

In this video the instructor shows how to solve logarithmic equations. To solve a logarithmic equation, the first thing you have to do is try to get one logarithmic term if possible. To subtract two logarithmic terms use the formula Log (a) – Log (b) = Log (a/b). Now to get rid of logs, perform exponentiation of the base. Exponentiation of the base is raising a number to the power of the logarithmic term where the number is the base of the logarithmic term. Here the value turns out to be the ...

How To: Find the area of irregular shapes

This video explains how to find the area of irregular shapes. Draw the shape on a grid or graph paper. This will help you divide your shape into pieces. Draw dotted lines to divide the shape into squares, rectangles or triangles. For instance, if you have an "L" shape, you can divide the shape into two rectangles. Be sure your shapes do not overlap. Calculate the area of each individual shape. The graph paper will help you determine the length and width of each shape. Add the resulting areas ...

How To: Find the area of a ring w/ the areas of 2 circles

Doina Popovici's video explains how to calculate the area of a ring. She takes us really slow, down to all the steps of this process. It's very important that she explains every math formula and operation so you cannot get lost into this solving. The video uses nice pictures and colors in order to make learning easier and nicer for those who are interested. At the end of the video you'll surely be able to solve by yourself a problem like that and your appetite for geometry will grow significa...

How To: Calculate percentages by example

In this tutorial the author explains of how to find percentages using examples. He explains that x percent of some number y is x multiplied by y and divided by 100. He goes on and explains this concept with numerous examples. He suggests a short cut to movie the decimal point of a number two digits to the left to divide that number by 100. The author demonstrates many more similar tricks and short cuts using which one can easily solve percentage problems. So if you are looking for a good tuto...

How To: Find the surface area of a cone shape

In this tutorial the instructor shows how to compute the Surface Area of a Cone. He explains that you need to find the individual surfaces areas first. Hence the bottom part of the cone which is circular can be calculated as Pi*r*r, where r is the radius of the base circle. Now for the sides surface of the cone, it looks like a sector and he derives its area thorough some deduction. Now he adds both the base surface area of the cone, and the lateral surface of the cone which finally gives the...

How To: Find the area of rectangles, triangles & rectangles

In this tutorial the author shows how to find the area of Rectangles, Triangles and Parallelograms. He says that an area of a figure is nothing but the amount of space taken up by that figure. He now explains that the area of rectangle is length times the breadth. He demonstrates it with an example. Now he says that an area of a parallelogram is base times height. He also demonstrates how to find the area of a parallelogram. Finally he shows the area of a triangle is half times the product of...

How To: Figure out elapsed time with Mr Binkley

This video is an entertaining way of learning how to quantify how much time has elapsed from one point to another. It opens with a mischievous person using an unauthorized computer, claiming he had only been on for a shorter time than what was calculated by the owner. The video then instructs how to figure out such a calculation by creating a T-chart. One the left side of the T-chart, the previous time is shown, along with new times as each hour or minute is added. On the right, the desired t...

How To: Derive the annual compound interest formula

In this video tutorial the instructor shows how to derive the formula to compute interest compounded annually. He starts with explaining the basic concepts like principle which is the amount you borrow and the rate of interest or annual percentage rate (APR), which is the rate at which you pay the interest up on the borrowed principle. He shows that the amount after the end of one year is amount A = P(1+APR),and he goes on and generalizes how to compute it for n years. This video shows how to...

How To: Calculate the percentage of a number

This video presented by Cris Ippolite makes a comparison between flat files and relational databases made with FileMaker Pro 10. It starts by showing flat files, which programs like Microsoft Excel use. Flat files have a big disadvantage: they cannot communicate with other files, even those with related data. If you wish to make your job easier, you should use relational databases. With databases, the tables communicate between one another. Once you store an entry in a table, you can use it i...

How To: Calculate your GPA step by step

Ever wanted to know what your GPA score is? Your GPA is your grade point average, which is a measure of a students achievement in college. This means all your grades are averaged and your are given a cumulative "GPA". Most colleges and universities will figure up your scores for you but you can learn to do it on your own so that you can keep checking up on your scores and stay at the top of your game. This can be beneficial to students looking to better their grades.

How To: Build a rear road bike wheel

Building your own bike can be an exhilarating and fun experience for anyone, even the most novice of craftsmen. With this tutorial you can learn to start building the rear wheel of a bicycle. He shows you websites to help you calculate exactly how long your spokes need to be for the wheel, where to find measurements on the skeleton of the wheel itself, and clarifies any confusing terminology that you might not be familiar with. After you have all your measurements for both sides of the wheel ...

How To: Find the surface area of a sphere

In this tutorial the instructor shows how to find the surface area of a sphere. He explains the equation to calculate the surface area of a sphere as 4 * Pi * r * r , where r its the radius of the sphere. Now if you have the radius of the sphere, by substituting its value in this equation and substituting the value of Pi, you can obtain the surface area of a sphere. If you want to compute the surface area of a sphere watch this video where it is clearly explained how to compute it along with ...

How To: Use YEARFRAC, INT, and DATEDIF in Excel

In this Excel magic trick video the tutor shows how to use the years worked formula using Yearfrac, Int and Datedif functions. He says that using this trick you can find out how many years some one has worked if we know his starting date and ending date i.e. he shows how to extract the difference in years directly by using formula to calculate it. He shows how to use Yearfrac function which gives the number of years in decimal form. He also shows how to extract integer from the decimal using ...

How To: Use the Cosine Law

In this video tutorial the author shows how to use the Cosine Law. He shows how to find an angle of a triangle where he know all the sides of a triangle, using the cosine Law. He uses a lower case letter to designate a side and a capital letter to designate an angel apposite to that side. He gives the formula for the cosine law using a triangle as an example. Now he goes on and demonstrates how to use a scientific calculate. He shows how to use the degree mode in the calculator to solve these...