Time is quantified in comparative terms or in numerical terms using units Time has been a major subject of religion, philosophy, and science, but defining it in a non-controversial manner applicable to all fields of study has consistently eluded the greatest scholars.
Time is represented through change, such as the circular motion of the moon around the earth. The passing of time is indeed closely connected to the concept of space.Student know tutor time locations to schedule their time for studies.
Time is very precious especially for students. "The key is to have a balanced life. Set aside a fraction of your time to carry out your dreams and ambitions."
Time is limited, Time is scarce, You need time to get what you want out of life, You can accomplish more with less effort, Too many choices
Because a student's time is so valuable, it is important to use it wisely. This can be done by taking advantage of idle time that could be spent studying. This could happen during lunch, on the bus ride to and from school or before a class starts. By taking advantage of these extra minutes, you will more efficiently use your time, reducing time spent studying at home, which will leave time for other activities.
Another useful tip is to find out when you do your best work. Some students are night owls and perform well late into the evening. Others perform better in the morning. Find out which time works for you and concentrate studying and assignment efforts during that period. This uses your time more effectively.
An equation is in the form of y= ax2 + bx + c, where a, b, c are variables with a not equal to zero is called as quadratic equations. When we graph the quadratic equation, we will get a curve called as parabola.
Parabolas are the curvature that be able to open upward or downward depending the sign of a and it may vary in its "girth", but all the parabolas have the same basic "U" shape.
I hope the above explanation was useful, now let me explain Quadratic Equation Problems
-->Quadrant is the word helps us describes the parts. If you draw straight and perpendicular lines, divide the page into four parts, each called a quadrant graph.
Graph contains four quadrants.
Large amount used one is the 1st quadrants graph which is on the top right.
The left of it is declaring the second quadrants.
The third is the one below the second quadrants.
One on the graph that is below the first quadrant is specified the fourth quadrants graphs.
Let us study about Odd function, Here we are going to learn even and odd functions. Even and odd functions are very useful in graphing and symmetry. Whether a function is even or odd can be said using some algebraic calculations. Every plot may not have symmetry so there is no need that every function should be even or odd. That is a function can be even or odd or might not be both. Now we will separately learn even and odd functions. I hope the explanation was useful, now let me explain decimal place value chart.
Asymptote is a tangent which touches any curve at infinity , so that we cannot meet the curve and the line in real. We study 3 types of Asymptotes viz. Vertical, Horizontal and Slant/oblique Asymptote. Also in standard terms, Horizontal asymptotes are horizontal lines that the graph of the function approaches to 0 on x axisas x tends to +∞ or −∞. Similarly Vertical asymptotes are vertical lines and the graph of the function approaches to 0 on y axis as y tends to +∞ or −∞. Vertical asymptotes are straight lines near which the function grows without bound.When curve doesn't have Vertical or Horizontal then it contains Slant Asymptote.
Y=0 is and example of Horizontal asymptotes and similarly X=0 is an example of vertical asymptotes
Horizontal asymptotes are horizontal lines the graph approaches.
* If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).
* If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.
* If the degrees of the numerator and denominator are the same, the horizontal asymptote equals the leading coefficient (the coefficient of the largest exponent) of the numerator divided by the leading coefficient of the denominator
One way to remember this is the following pnemonic device: BOBO BOTN EATS DC
* BOBO - Bigger on bottom, y=0
* BOTN - Bigger on top, none
* EATS DC - Exponents are the same, divide coefficients
Let us study about the Parts of a circle, A line to create a circle contains no start otherwise finish; it is a easy closed curve. * Either point lying on the circumference of a circle is the equal distance as of the middle of the circle. * A line section as of a point lying on the circumference of a circle to its middle is known as the radius. * Bothline segmentto start and ends on the circle’s circumference is known as a chord. * A chord to exceeds during the middle of a circle is known as the diameter. The diameter of either circle is double as long as circle within the radius. Each circle contain an infinite number of radii also diameters. For a known circle, every diameters are congruent also every radii are congruent. A chord is a line part that connecting two points on a curve. Within geometry, a chord is frequently utilized to illustrate a line part connecting two endpoints that lie on a circle. I hope the above explanation helped you.
I guess you practiced about Venn Diagram which we discussed in our previous blog.
Conversion of heights is specified in either centimeter, meters , feet and inches. The height can be converted from cm to feet, meter into feet and etc. in conversion the unit should be mentioned such as cm or feet.
1 centimeter = 0.033 feet
1 feet = 30.48 centimeter, same like Height converter Cm to feet
2 centimeter = 0.065 616 797 9 feet
3 centimeter = 0.098 425 196 85 feet Feet to cm
2 feet = 60.96 centimeter
3 feet = 91.44 centimeter
In our next blog we shall learn about "inch centimeter conversion"
An interval can be shown using set notation. For instance, the interval that includes all the numbers between 0 and 1, including both endpoints, is written 0 ≤ x ≤ 1, and read "the set of all x such that 0 is less than or equal to x and x is less than or equal to 1."
The same interval with the endpoints excluded is written 0 <>
Replacing only one or the other of the less than or equal to signs designates a half-open interval, such as 0 ≤ x <>intervals. In this notation, a square bracket is used to denote an included endpoint and a parenthesis is used to denote an excluded endpoint. For example, the closed interval 0 ≤ x ≤ 1 is written [0,1], while the open interval 0 <: x <> I hope the above explanation was useful, now let me explain Factorisation.
A circle is a simple shape of Euclidean geometry consisting of those points in planes which are equidistant from a given point called the center. The common distance of the points of a circle from its center is called its radius. Circles are simple closed curves which divide the plane into two regions, an interior and an exterior.
Example
The diameter of a circle is 8 centimeters. What is the area?
According to the question, diameter = 8 centimeters so, radius = diameter/2
radius = 8/2 centimeters
radius = 4 centimeters
A = ╥x r2
Now put the value of radius = 4 centimeters and ╥= 3.14
Area = 3.14 x (4 cm) x (4 cm)
Therefore, area = 50.24 cm2
By cutting a circle into slices and rearranging those slices to form a rectangle, we can find the area of the circle by finding the area of the rectangle.
Example 1 divides the circle into 8 slices. Move the slices to fit them to the rectangle. They will snap into place. But 8 slices does not give us a very good rectangle. Try example 2, which divides the circle into 12 slices.
The more slices we have, the better the rectangle will be. Try using 24 slices in example 3. Compare the area of the rectangle to the area of the circle. The radius of the circle is equal to the height of the rectangle. The width of the rectangle is equal to 1/2 of the circumference or πr.
The term perimeter refers either to the curve constituting the boundary of a lamina, or else to the length of this boundary.
The perimeter of a circle is called the circumference.
The perimeters of some common laminas are summarized in the table below. In the table, e is the eccentricity of an ellipse, a is its semimajor axis, and E(k) is a complete elliptic integral of the second kind. I hope the above explanation was useful.
Let us study about area of circle,
The distance around a circle is called its circumference. The distance across a circle through its center is called its diameter. We use the Greek letter π (pronounced Pi) to represent the ratio of the circumference of a circle to the diameter. In the last lesson, we learned that the formula for circumference of a circle is: C = πd. For simplicity, we use π = 3.14. We know from the last lesson that the diameter of a circle is twice as long as the radius. This relationship is expressed in the following formula: d = 2r
The area of a circle is the number of square units inside that circle. If each square in the circle to the left has an area of 1 cm2, you could count the total number of squares to get the area of this circle. Thus, if there were a total of 28.26 squares, the area of this circle would be 28.26 cm2 However, it is easier to use one of the following formulas:
if the radius of this circle is r, the area, A of the circle will be:
A = πr2
a circle with the radius r
where π is a constant that is approximately equals to 3.14.
Let us study about Frequency polygon, Relative frequencies of class intervals can also be shown in a frequency polygon. In this chart, the frequency of each class is indicated by points or dots drawn at the midpoints of each class interval. Those points are then connected by straight lines.
The frequency polygon shown in Figure 1 uses points, rather than the bars you would find in a frequency histogram.Figure 1
Frequency polygon display of items sold at a garage sale.
Whether to use bar charts or histograms depends on the data. For example, you may have qualitative data—numerical information about categories that vary significantly in kind. For instance, gender (male or female), types of automobile owned (sedan, sports car, pickup truck, van, and so forth), and religious affiliations (Christian, Jewish, Moslem, and so forth) are all qualitative data. On the other hand, quantitative data can be measured in amounts: age in years, annual salaries, inches of rainfall. Typically, qualitative data are better displayed in bar charts, quantitative data in histograms. As you will see, histograms play an extremely important role in statistics. Hope the above explanation was useful.
Let us study about Statistical Probability, One of the most familiar uses of statistics is to determine the chance of some occurrence. For instance, what are the chances that it will rain tomorrow or that the Boston Red Sox will win a World Series? These kinds of probabilities, although interesting, are not the variety under discussion here. Rather, we are examining the probability in statistics that deals with classic theory and frequency theory—events that can be repeated over and over again, independently, and under the same conditions.
Coin tossing and card drawing are two such examples. A fair coin (one that is not weighted or fixed) has an equal chance of landing heads as landing tails. A typical deck of cards has 52 different cards—13 of each suit (hearts, clubs, diamonds, and spades)—and each card or suit has an equal chance of being drawn. This kind of event forms the basis of your understanding of probability and enables you to find solutions to everyday problems that seem far removed from coin tossing or card drawing. Hope the above explanation was useful.
Let us study the law of Cosines, If α, β, and γ are the angles of any (right, acute, or obtuse) triangle, and a, b, and c are the lengths of the three sides opposite α, β, and γ, respectively, then
These three formulas are called the Law of Cosines. Each follows from the distance formula and is illustrated in Figure 1 .
Figure 1
Reference triangle for Law of Cosines.
From the figure,
Thus the coordinates of A are
Remember, all three forms of the Law of Cosines are true even if γ is acute. Using the distance formula,
A Fraction means a part of a group or a region or a whole.
Fraction is defined as an element of quotient field. Fraction can be represented as " x / y " here fraction variable 'x' denotes the value called as numerator and fraction variable 'y' denotes the value called as denominator and the denominator 'y' is not equal to zero.
Thus the fraction is classified as follows,
Simple fraction / common fraction
Proper fraction
Improper fraction
Complex fraction
Mixed number
The word fraction has been derived from the Latin word fractus, means broken.
Fraction is a type of number which is used to represent the whole by the part .
Example :
1 is a whole nuber but it could be represented as follows
1 = 1/2 + 1/2 , where 1/2 is a fraction .
1 = 1/4 + 3/4 , where 1/4 and 3/4 is a fraction
The above two examples signifies what is the fraction .
Common Fraction and Proper Fraction
Common Fractions :
common Fraction is a fraction which consists of the numerator and the denominator , in which both are natural numbers. But the denominator should neither be equal to zero nor 1 .
Example :
3/4 ,
where 3 is the numerator , 4 is the denominator and both are natural numbers .
8/5
where 8 is the numerator , 5 is the denominator and both are natural numbers .
Proper fractions:
Proper fraction is a fraction whose value is less than 1. It is a type of fraction in which the denominator is greater than numerator .
Example
4/6
here 4 < 6 ie numerator is less than denominator and the value of it is 0.67
5/7
here 5 < 7 ie numerator is less than denominator and the value is 0.71
Improper Fraction and the Mixed Fraction
Improper Fraction :
Improper fraction is a fraction whose value is greater than or equal to 1 . It is a type of fraction in which numerator is greater than denominator .
Example
5/4
here the numerator is greater than denominator . And the value of the factor is 1.25
7/3
here the numerator is greater than numerator . And the value of the factor is 2.34
Mixed Fraction :
Mixed fraction is a type of fraction which consists of two tpes of numbers in it namely whole number and the proper fraction in it . Its value is greater than 1 .
Example
51/4 .
here 5 is a whole number and 1/4 is the fractional part . its value is 21/4 = 5.25
32/5
here 3 is a whole number and 2/5 is the fractional part . Its value is 17/5 = 3.4
Introduction of Fraction Minus Fraction:
Fractions are defined as the part of an object that means one and half, three by fourth like that at earliest days. Nowadays the fractions consist of numerator and denominator. For example the fraction 4/5 Here 4 is the numerator and 5 is the denominator. We can add, subtract, multiple and divide the fractions with certain procedure. Here we see how u minus the fraction from fraction.
Steps for Fraction Minus Fraction:
Step 1: Get the denominator of the fractions are the same.
Step 2: Minus the numerator of the fraction when the denominators of the fractions are same.
Step 3: after minus the numerator of the fraction, if possible the fraction can simplify. These are the procedure to minus fraction from fraction.
The fractions with regrouping are nothing but the fractions which has the formation of the understanding and easy recalling of the particular fractions can be done through the fractions. The regrouping fractions are made along the process that had done in the way which has the computation of the process. The computations of the fractions are done through the regrouping of the fractions.
In Rational:
Simple fraction:
Simple fraction is a fraction, which is composed of both numerator and denominator as whole number.
Examples:
1/5, 2/7, 8/9
Proper fraction:
It is a fraction, which is composed of a numerator less than its denominator, and the value of that fraction is less than one.
Examples:
3/5, 1/8, 24/25
Improper fraction:
Improper fraction is a fraction, where the top number of fraction that the numerator is greater than or equal to its own denominator (bottom number) and the value of that fraction is greater than or equal to one.
Examples:
7/2, 8 /8, 45/23, 123/120
Introduction to proper fraction:
What is a fraction is fraction are a way to represent parts of a whole number . The fraction contain two parts numerator and denominator . The fraction two types proper fraction and improper fraction and also mixed fraction. There are few steps we have to do to make sure we get the correct answer anyone can read and write fractions
·Adding fractions is easy if they have common denominators
·Subtracting fractions with common denominators is a snap.
·doing with improper fractions and mixed numbers doesn’t have to be scary.
·
Ex : 3/4
Proper Fraction Explanation:
If the numerator in a fraction is lesser than the denominator, assuming both are positive (we will deal with harmful signs later in this sheet, the fraction is said to be a Proper Fraction. Proper fraction represents number between 0 and 1.
The base number has always been larger than the top number. The top number, which tells you how many part you have, is called the numerator. The base number, which tells you how many equal part the strip is divided into, is called the denominator. If the top number is lesser than the bottom number we always have what is called a proper fraction. Proper fraction are always less than one value.
Mixed Numbers or Mixed fractions:
Mixed numbers is a fraction which is composed of one whole number part with a fraction part. It can be represented as x y/z.
Examples:
2 3/4, 1 5/7
Complex Fractions:
If a fraction is composed of numerator and denominator as a fraction, it is called complex fractions.
The complex fractions are also called as a rational expression because it has a numerator and denominator with fraction. Otherwise, the overall fraction includes at least one fraction.