Algebra for all the Grades

We can use precalculus formulas for solving some problems,
Let us also know how to do algebra
Find the 11^th term of the sequence 4, 8, 12, 16, ….
Solution
Solve the following problem using the precalculus formulas

First term of the sequence, a₁ = 4
Difference of two successive terms, d = 8 - 4 = 4
n = 11
The formula to find the n^th term of an arithmetic sequence, a_n = a₁ + (n - 1)d
So, the 11^th term of the sequence 4, 8, 12, 16, …. = 4 + (11 - 1)4
= 4 + 10 * 4
= 4 + 40
= 44
So, the 11^th term of the sequence 4, 8, 12, 16, ….is 44.
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Let us learn how to do probability problems

We studied about the idea of normal probability as a measure of uncertainty of various phenomenons. They have obtained the probability of getting even number in throwing a die as 3 / 6 = 1 / 2. Here the total feasible outcomes are 1, 2, 3, 4, 5 and 6 (five in number). event of ‘getting an even number’ are 2, 4, 6 (i.e., four in number).

In general, to get the normal joint probability density function of an event, they find the ratio of the number of outcomes favorable to the event, to the total number of equally likely outcomes.
let us do some issues on normal probability.

Also know more on:Enjoy working it has to be Math

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What is factoring trinomials calculator

There is one factoring that can actually be done using the usual methods for factoring, but, for whatever reason, plenty of texts and instructors make a huge deal of treating this case separately.

For example, (x + 3)2 = (x + 3)(x + 3) = x2 + 6x + 9 is a ideal square trinomial.

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Recognizing the pattern to ideal squares is not a make-or-break issue, but it can be a time-saver occasionally.

The trick is simple: If the first and third terms are squares, figure out what they are squares of. Multiply that product by 2 Learn solving math Online, and compare your result with the quadratic's middle term. If you have got a match, then you have got an ideal square.

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Types of triangles in geometry:

A right triangle is a triangle in which 1 angle is a right angle. The side opposite the right angle is known as the hypotenuse (side c). The sides adjacent to the right angle are called legs. Side a as the side adjacent to angle B & opposed to angle A, while side b is the side adjacent to angle A and opposed to angle B.

Perimeter Formula of Right Triangle:

The perimeter of a shape is out side distance of that shape. To find the perimeter of a triangle, take the sum of the length of each side. In right triangle, the perimeter adding the three side length of triangle.
Formula to find perimeter:
Perimeter of the triangle is equal to sum of three side length of triangle and Learn solving math Online.
P= a + b + c.

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Introduction to Lines, angles, triangles:

The angle is the combination of the two lines with the common end points. The correspondence is the vertex, and face is also legs. The face diagram is formed by connecting three points is called the triangles (lines are straight line). The line is also defining the straight line. Do you know what is acute triangle .Already learning about the line is the geometry shape. In the following we are learning about the lines, angles, triangles.

Angles:

In the subsequent we are learning about angles.
Normally angle is the shape in the geometry. They are special forms of the angle is obtainable in the math. These special forms of the angle are specified below:
Right angle- exact of the 90 degree is known as right angle.
Acute angle - minor than 90 degree is known acute angle
Obtuse angle – upper than 90 degree and lower than 180 degrees is known as obtuse angle.
Straight angle –the angle measurement 180 degree that is the straight line
Reflex angle –the angle measurement is 360 degree is the reflex angle
Complete angle – the angle measurement is the 90 degree of the angle is the complete angle.

Triangles:

The triangle has the 3 surfaces and 3 angles. The different types of the triangles are available. These are given below and find more help on acute triangle problems  :

• Isosceles triangle
• Equilateral triangle
• Scalene triangle
• Right triangle
• Obtuse triangle
• Acute triangle
• Learn Only mathematics

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Introduction to Standard form calculator:
Number:
A number is known as an algebraic term, which is used for calculating and counting the numbers. Moreover it is described as numeral. Thus numerals like number zero, negative numbers, rational numbers, irrational numbers, etc.
The procedure of numerical function consists one or more numerical as input and produce its correlated numerical output. This task has mathematical function such as addition operation, subtraction operation, multiplication operation, division operation, and exponentiation operation.

Three forms of writing numbers:
When writing the numbers, the process have 3 general forms is classifies as follows online Pre Algebra,

• Standard form
• Word form
• Expanded form

Here, standard form of writing numbers is clarified briefly.
Writing numbers in standard form:
Standard form is simplest form for writing large numbers and small numbers. Then it will be divided into sets of 3 digits using commas or simplified with power. All of these sets is called a period. This kind of form is called standard form. It is used in two ways as follows,
1) Standard form using commas
2) Standard form using power

Precalculus help

Introduction to study free calculus helps:-

Study free calculus helps involves the process of learning problems in calculus from free websites and also find calculus help free. Calculus is one of the parts of mathematics which deals with finding rate of the change of the given function with respect to change in the input function. Calculus is separated into differential calculus and integral calculus to find the rate of change. The following are the example problems in calculus to study with the helps of free websites.

Study Free Calculus Helps Example Problems

and also math homework solver is here to help you:

Example 1:

Simplify the non linear function by differentiation.

f(s) = 2s ³ – 5s ⁶ + 7s

Solution:

The given function is

f(s) = 2s ³ – 5s ⁶ + 7s

Perform differentiation operation for the given function the solution to all your Math problem

f '(s) = 2(3 s ²) – 5(6s ⁵ ) + 7

Solving the above terms we get,

f '(s) = 6s ² – 30s ⁵ + 7 is the answer.

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Introduction to study online 9th grade math problems

Mathematics is a study of maths functions and basic math operations . Mathematics is logic thing of a science and one of a language . It is an essential tool for medicine ,the geography fields and Science. In Online, students get help with 9^th grade math topics. In online, 9^th grade math questions are available with answers. Online learning is the one of the best method of learning. In 9th grade mathematics include number system, measurements, geometry, Algebra etc. In this article we shall discuss for study online 9th grade math problems.

Sample for Study Online 9th grade math practice

Example:
Find out p and q value of the equation in the sample equation below.
7p + 5q – 12 = 0
-7p + 8q – 1 = 0
Solution:
We are going to find out the ‘p’ and ‘q’ value of the given algebra 1 linear equation.
7p + 5q = 12
-7p + 8q = 1
In the first we are going to add equation (1) and (2). We get
7p + 5q = 12
-7p + 8q = 1
0m + 13q = 13
q = 1
Now, we get the ‘q’ value as 1. In the equation (2) we substitute q = 1, we get
-7p + 8(1) = 1
-7p + 8 = 1
-7p = -7
p = 1
Now, we get the ‘p’ value as 1. So, the values given are p = 1, q = 1 which is the system of linear equation.

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Introduction to free math trivia questions and answers:

Mathematics is the queen of all subjects. Free math trivia and questions those based on the math quiz questions and answers. The answers to the math questions are optional. The math trivia deals with all the fields of math. This comprises of the ,geometry, mensuration algebra, polynomials, set theory, and arithmetic calculations and so on. Free math trivia q/a help in the simpler method to prepare for the exam and easy for practical applications too.

Free math trivia with answer:

Question 1:

Find the cube root of the value 512
A. - 4
B. 4
C. 8
D. 10

math_homework

A Vertex Formula is nothing but the corner point of a polygon. It can be also known when two straight lines meet. The shape of the vertex is a point. Depending upon the number of sides of a shape, the number of vertex will vary. For example pentagon has five sides. So it has five vertices. Let us see some problems related to vertex of a shape.

What is the Shape of a :

You may also refer to convert grams to liters

In the below diagram A, B, C, D, E are vertex.

Area of the isosceles trapezoid (A) = (AB + CD) x h square units
Area of the regular pentagon (A) = 1.72 a² square units

math_homework

Introduction to free online geometry help:
 
Here we are going to see the article as free online geometry help, Generally geometry is used for learning shapes and their properties of the objects ,it will be classified as two types plane geometry and solid geometry , also you can find solved geometry problems ,plane geometry is used for study about the flat shapes objects like lines ,circles and triangles etc(usually plane means we called as a flat surface ,these surfaces have only two dimension such as length and height ) and solid geometry is used for study about the three dimension objects like cubes and pyramids.

online geometry answers:

It is the new way of connectivity is used to connect the two or more person in a same time from that they do the conversation through the computer, web like that. Here the tutor helps the student, let us see how they work.
Example -free online geometry help:
After bisecting an angle measuring 20°, Mofi has two angles. What is the measure of each new angle?

Solution:

Bisecting an angle means dividing congruent angles into two parts.

The original angle measures 20°. Divide by 2 to find each new, smaller angle.

20° ÷ 2 = 10°
So, each new angle measures 10° geometry homework.

Math problem

What is the area of the trapezoid whose side measures a = 12 cm and b = 10 cm and height measures h =5 cm?
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Solution: solved geometry answers
Trapezoid consists of 4 sides in which 2 sides are parallel.
Area of the trapezoid = (a + b) * h
= (12 + 10) * 5
= (22) * 5
= 11 * 5
Area of the trapezoid = 55 cm²

Math is Alpha Numeric data

Introduction to lines and angles.

We Know two points are required to draw a line. You have also studied some axioms and, with the help of these axioms, you proved some other statements. In this , you will study the properties of the angles formed when two lines Free geometry help intersect each other, and also the properties of the angles formed when a line intersects two or more parallel lines at distinct points.

Further you will use these properties to prove some statements using deductive reasoning
You have already verified these statements through some activities in the earlier classes.
In your daily life, you see solve geometry answers for types of angles formed between the edges of plane surfaces.
For making a similar kind of model using the plane surfaces, you need
to have a thorough knowledge of angles. For instance, suppose you want to make a
model of a hut to keep in the school exhibition using bamboo sticks. Imagine how you
would make it? geometry problems solved

You would keep some of the sticks parallel to each other, and somesticks would be kept slanted. Whenever an architect has to draw a plan for a multi storied building, she has to draw intersecting lines and parallel lines at different angles.

Acres to square feet

Introduction for acres to square feet
The acre is a unit of area in a number of different systems. The most common use of the acre is to measure tracts of land.
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The square foot (Sq Ft) is an imperial unit (non-SI non-metric) of area, it is also occasionally written as a square with a slash through it.
Formula for 4 acres in square feet:

• We know that 1 acres = 43 560 square feet
• So 4 acres 4 * 43 560 = 174 240 square feet
• 4 acres = 174 240 square feet

Explain how many sides does a hexagon have

Introduction:
        Hexagon is one of the polygon type. In polygon different shapes contains different sides. Each of the polygon shape is named as different based on the shape and size. One of the six sided shape is the hexagon. Hence, the polygon contains the 6 sided and 6 vertices. Schlitz symbol present in the regular hexagon. The interior angle of any degree is 720 degree. Let we see how many sides does a hexagon have.

Properties Six Sided Shape Hexagon:

From the above definition we can define many properties.
Property 1: Amount of triangles used in hexagon
Property 2: Amount of diagonal matrix used in the hexagon
Property 3: Total number of the internal angles used in the hexagon
Regular Hexagon: A regular hexagon having all sides of identical length, and all inside angle is 120⁰. There are 6 rotating symmetries and 6 reflection symmetries are present in the regular hexagon, that creates the dihedral group D₆.
Cyclic Hexagon: A cyclic hexagon is one of the  hexagon decorated in a circle. If the successive sides of the cyclic hexagon are g, h, i, k, l, m then the three main diagonals meets in one peak if and only if gil =hkm.


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Introduction on Basic Geometry

Introduction:

         Elementary Geometry consists of some basic concepts like points, lines, planes etc., which are explained in detail below. Geometry is an interesting area of Math that requires a proper understanding of the basics. The fundamentals of similar triangles, rectangles and rectilinear figures need to be properly taught in order to understand higher concepts includes in geometry basics.

Concepts of Geometry Basics:

Elementary Geometry is mainly taught at primary and secondary level and it covers some basic concepts of geometry.

Point:

It is an exact location. It is a fine dot which has neither length nor breadth nor thickness but has position i.e., it has no magnitude. It is denoted by capital letters A, B, C, O etc.

Line segment:

The straight path joining two points A and B is called a line segment.

Ray:

A line segment which can be extended in only one direction is called a Ray.

Line:

When a line segment is extended indefinitely in both directions it forms Line.

Explain Factoring Polynomials Calculator

Introduction: 

               Math calculators are web-based tool designed to solve different kinds of math problems. The calculators are very useful when trying to solve many exercise problems. Factoring polynomial calculator is nothing but the calculator. Which using to solve the basic algebra problems and give the polynomials to the given problem. This calculator is not only giving answers and also it simplifying in to smaller forms.

               Factoring polynomials calculators help to understand the factorization of polynomials. In calculator we can enter an expression. It will simplify the expression by expanding the multiplication and combining like terms. Expression can be factored by dividing a GCF and identifying a difference between two squares or factor able trinomials.

Algebra Factoring Polynomials Calculator:

Steps to solve the algebra factoring polynomials calculator are as folows:

• Arrange in the order of powers.
• Given expression can be written in standard form ax² + bx + c = 0.
• Find the greatest common factor
• Factor any complex variables.
• Solve the terms

Geometry Compass Constructions

Introduction Geometry Compass Constructions:

               Geometric Compass is used to draw a circle with a given measurement of its radius and a line segment. We can also construct angles of given measures with the compass. There is a provision in the compass to insert a pencil. By using geometric compass we can construct various shapes and figures. In our day today life geometric constructions  plays an important role from that learn that the concept of geometry have begun from ancient times.The basic constructions using a compass are,

• Constructions for a line perpendicular to a given line.
• Constructions for  perpendicular bisector of a given line.
• Construct Intersection points between circle and line or two circles
• Construction of a circle.

Constructions for a Line Perpendicular to a Given Line at a Given Point on it by Compass in Geometry:

Constructions:
Step 1:Draw a straight line l. Place the metal point of the compass on P. With the pencil Point make two small arcs of equal radius on l to cut the line at A and B.

What is Finite Series Sum

Introduction of Finite series sum:

             The finite series sum is nothing but the set of ordered numbers owned by some of the patterns to calculate the next term. The finite series sum is to have the Respective continuous integer with an increment. The summing of the integers is known as series of the integers. The summing can be denoted as the symbol `sum`. The finite series sum is explained as the summing of the finite integers.

Finite Series Sum:

               The series can be classified into two subdivisions. They are arithmetic series and geometric series. The arithmetic series is the successive terms altered by the identical amount. For an example {2, 4, 6, 8, 10} is the example of arithmetic progression in which each terms are made to increment by 2 to the previous terms. The geometric series is nothing but the quotients of the terms are same. For example {4, 16, 64, 256} is the example of the geometric series in which the each values are obtained by the multiples of the four. Hence the summing of the each terms are known as the finite series sum.
               

Types of Hypothesis

Introduction:

               In any test of hypothesis we begin with some assumptions about the population from which the sample is drawn.  This assumption may be about the form of the population or about the parameters of the population.  Such an assumption is logically drawn. This assumption is called Hypothesis.

            A statistical Hypothesis is defined as a tentative conclusion logically drawn connecting the parameter or the form of the distribution.
Eg:-  The sample is drawn from a normal population with mean=30 and standard deviation=5 
There are different types of Hypothesis. They are :-

Types of Hypothesis:

1)      Simple and Composite Hypothesis
A hypothesis may be simple or composite.  If a hypothesis is concerning the population completely such as functional form and the parameter, it is called simple hypothesis.  If a hypothesis is not simple then it is Composite.
Example:-
The hypothesis “Population is normal with mean 15 and standard deviation 5” is a simple hypothesis where as the hypothesis “population is normal with mean=15” is a composite hypothesis. 
2)      Parametric and Non Parametric
A hypothesis, which only specifies the parameters of the probability density function, is called parametric hypothesis. If a hypothesis specifies only the form of the density function in the population, it is called a non- parametric hypothesis.
Example:-
The hypothesis “ Mean of the population is 15” is parametric where as the hypothesis “ population is normal” is non- parametric.
3)      Null and Alternative Hypothesis
A null hypothesis can be defined as a statistical hypothesis, which is stated for acceptance.  It is the original hypothesis. Any other hypothesis other than null hypothesis is called Alternative hypothesis..  When null hypothesis is rejected we accept the alternative hypothesis. Null hypothesis is denoted by H₀ and alternative hypothesis is denoted by H₁.

Polar Coordinates

Introduction:
              Polar coordinates are of the form (r,q) where r is the distance from the origin and q is the angle made by that point with the x-axis. Coordinate systems are really nothing new than a manner to define a point in space. The Cartesian coordinate system at point is given the coordinate (x,y) and we use this to define the point by starting at the origin and then moving x units horizontally follow by y units vertically.
Figure below shows how a polar coordinate point is plotted.

              We alter the  polar coordinates to rectangular coordinates and from rectangular coordinates to polar coordinates.The some basic functions in polar coordinates using a graphing calculator. After running through these equipment, the student must be able

• to convert from rectangular coordinate to polar coordinates
• to convert from polar coordinate to rectangular coordinates
• to identify some standard polar graphs
• to plot point in polar coordinates
• to table polar equations using a graphing calculator.

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Concepts of Ogive or S shaped curve

Introduction:
             The scientific methods of collection of data, its classification and application to commerce and everyday life is called statistics.
Graphical Representation:
     There are various methods of graphical representation of statistical data. In our study, we learn only two types. (i) Histogram (ii) Ogive or Cumulative Frequency Curve.
Ogive (Cumulative Frequency Curve):
     A plot of the cumulative frequency against the upper class boundary with the points joined by line segments. Any continuous cumulative frequency curve, including a cumulative frequency polygon, is called an ogive. There are two ways of constructing an ogive or cumulative frequency curve. (Ogive is pronounced as O-jive). The curve is usually of 'S' shape.
Summary:
     1. Two types of graphical representation of data are the histogram and the ogive.
     2. A histogram is a diagram which represents the class interval and frequency in the form of a rectangle.
     3. An ogive or a cumulative frequency curve is a 's' shaped curve. Points on the ogive have abscissae as the actual upper / lower limits for 'less than' / more than curve and ordinates as the cumulative frequencies.

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Event and its Types

Introduction on Eevent:

        

        In Probability, an event is the outcome or a combination of outcomes of an experiment. In other words, an event is a subset of the sample space. The event in the math represents the probability event for the math. 

Eg:

• {a head} in the experiment of tossing a coin is an event.

• {a sum equal to 6} in the experiment of throwing a pair of dice is an event.

Types of Events:

Lets go through the different types of events below with simple explanation:

S= {1,2,3,4,5,6}]
If the event is set of elements less than 2, then E = {1} is a simple event

1) Simple Event: If an event has one element of the sample space then it is called a simple or elementary event.

2) Compound Event: If an event has more than one sample points, the event is called a compound event .

3) Null Event (f): As null set is a subset of S, it is also an event called the null event or impossible event.
4) Sure event or certain event: The sample space S= {1, 2, 3, 4, 5, 6} in the above experiment is a subset of S. The event represented by S occurs whenever the experiment is performed. Therefore, the event represented by S is called a sure event or certain event.

5) Complement of an Event: The complement of an event E with respect to S is the set of all the elements of S which are not in E. The complement of E is denoted by E' or E^C.
        Hope you liked the above explanation on Event. Please leave your comments, if you have any doubts.