Adding Exponent Rules

Introduction to Adding Exponents Rules:
Adding exponents rules states that when multiplying numbers in exponent notation which having same base, we can add the exponents

Adding Exponent Rules
Proof:
Multiplying of numbers with exponent = Adding exponent of the base
Example:
Multiplying of a2 * a3
a2 = a * a
a3 = a * a * a. This could also help us on reduce fractions
a2 * a3 = a * a * a * a * a = a5 = adding exponents of base of numbers “a”. Let us see example problem using the adding exponent rules.

Introduction to algebra

In this article let me help you on the basic topics on algebra. To begin with introductory algebra. Frist let me help you on what is algebra and it's usage.

What is Algebra?

Algebra is the branch of mathematics concerning on the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.

We Use Algebra Everyday?

Algebra is used everyday, all the time. It is used in problem solving situations
when you are trying to determine how long it will take you to get from your home to your friends house. This could also help us on inverse tangent

Algebra is much broader than elementary algebra and studies what happens when different rules of operations are used and when operations are devised for things other than numbers. Addition and multiplication can be generalized and their precise definitions lead to structures such as groups, rings and fields, studied in the area of mathematics called abstract algebra. sample algebra problem

Help with the fundamental theorem of calculus

In this section we are going to learn the fundamental theorem of calculus. Calculus is always seen as an important one in mathematics with out wich we will not be able to complete our math work.
Ladder for Learn Calculus Bc:-

• Differential online learn calculus BC is use to determine the rate of change where the function is known.

• Integral online learn calculus BC is use to determine function where we know the rate of change.

• The College Board are deliberately schedules the BC online learn Calculus BC exam at the same time as the AP Calculus BC exam in order to make it not possible for a student to take both tests and receive college credit for both in the same academic year.

• They do not, however the bar student from taking the two classes at the same time it is usually at the prudence of the individual school to label online learn Calculus BC as the pre-requisite class for online learn Calculus BC, although some schools do allow them as co-requisites for gifted students.This will also help us on how to subtract integers
• However, the popular of schools require pre calculus as a prerequisite to online Calculus BC.

• In fact, the majority of these students taking Calculus AB have not taken online learn Calculus BC

Introduction to Fractions Calculator

Introduction to Fractions Calculator:

In this section let me help you on adding fractions calculator. The Fraction calculator will add two fractions or more fractions here. This calculator will also help to simplify compound fractions to proper fractions or improper fractions. Calculator for adding fractions will solve the problems with step by step explanations. And also we can prepare for exam by understanding fractions calculator. In this calculator, We are going to discuss about how to add two fractions and solved problems.

The meaning of Fraction in two ways. Fraction is used to represent a part of whole and a part of collection or group of objects. algebraic calculator and Fraction has two different parts. The top number is called as numerators and bottom number is called as denominator. It will separate by a bar. Fraction represents as [5/8] This could also help us on quantum numbers.

Help with vector calculator

Introduction to graphing vector calculator:
Today let me help you on vector calculator. The calculator is an electronic device and it is used for mathematical operation results. The calculator is using the mathematical tables for calculation. The vector is a collection of ordered components and we are graphing the vectors based on components in graph. We have a calculator for graphing a vector. Now we are going to see about graphing vector calculator.

Explanation for Graphing Vector Calculator
The graphing vector calculator:
The vector calculator is defining the vector components and graphing the components based on x and y values.The x component is representing the horizontal component and the y component is representing the vertical component. The x-axis and y-axis are divided into equal parts and each part is representing the equal values.
The calculator graphing the single vector or two vectors. If two vectors are graphing means the addition and subtraction operation is performed. This could also help us on algebra websites. The graphing vector calculator is also determine the angle and length of vector.

Note on integral test

Introduction to calculus integral test:
In this section let me help you understand on integral test. The integral and differential calculus is widely used in mathematics, science, and engineering. Integration is one of most important studies of calculus in mathemetics.Calculus can be used to solve differentiations of any arbitrary equation and the corresponding output result.

This could also help us on how to calculate density. The derivative of a constants is zero, there is no exact value for the integral.The integral calculus is concerned with the inverse problems of the given derivative of a function to find the function.

linear equations and inequalities

Functions and Linear Equations and Inequalities
Today let me help you on linear equations and inequalities. A mathematical function is an equation which assigns a single answer to each possible question. A variable denotes as an unknown value in the functions and equation.

Example for functions:
The set of all element in functions and ordered pairs is known as domain; the set of all second elements are called range.This could also help us on how to make a circle graph

Example:
Functions f(x) = {(1 , 2), (3 , 4), (5 , 6), (7 , 8)}
Here Domain = { 1, 3, 5, 7 } and
Range = { 2, 4, 6, 8 }

algebra homework

In this section let me help you on help with algebra homework

Online help with algebra homework problems 1:

Solving the given algebra sample equation and find out ‘a’ and ‘b’ value of theequation.

9a + 15b – 39 = 0

-9a + 20b – 31 = 0

Solution:

To find out the ‘a’ and ‘b’ the given algebra 1 value linear equation.

9a + 15b = 39

-9a + 20b = 31

Step 1: we are going to add equation (1) and (2). We get

9a + 15b = 39

-9a + 20b = 31

0a + 35b = 70

b = 2. This could also help us on factors of 36

Step 2: Now, we get the ‘b’ value as 2. In the equation (2) we substitute b = 2, we get

-9a + 20(2) = 31

-9a + 40 = 31

-9a = -9

a = 1

Now, we get the ‘a’ value as 1. So, the given system of linear equation values are a = 1, b = 2

online tutoring services

Introduction to home tutoring services:

In this article let me help you on online tutoring services. Let me take an example of a company named tutorvista. Tutorvista is one of the world class online home tutoring services provider, tutorvista helps student at any time around the clock regardless of place where they are located.

This could also help us on solving math problems. Student can learn from their home with flexible time. Here tutor explains each concept step by step so that the students can grasp much easier. Tuorvista provides online based tutoring services in subjects like English, math, and science. In this article we shall discuss home tutoring services in math problems.

precalculus problems free

Introduction of precalculus problems:

In this section let me help you on precalculus problems free. Problems on precalculus is branch of the acclaimed Art of Problem Solving curriculum designed to challenge high-Performing middle and high school students.

Precalculus problems cover trigonometry, complex numbers, vectors, and matrices.
Calculus was developed in the latter half of the seventeenth century by two mathematicians, Namely Gottfried Leibniz and Isaac Newton.

Calculus can be divided into two branches:

Differential Calculus and Integral Calculus. Differential calculus is used to find the rate of change of a measures; integral calculus is used to find the measures where the rate of change is known. "Functions" are defined by a formula. This could also help us on online trigonometry answers

Note on algebra word problems solver

Today let me help you understand on algebra word problems solver. In this let me help you on what is algebra.. and how does it plays an important role in mathematics.

In math, word issues refer to exercises that provide the reader with background information or a narrative. Knowing how to solve word issues is a pleasant skill for students to have because issues of this type appear in math textbooks & on standardized tests. Definitely, word issues vary in complexity, but plenty of needless difficulties arise when students read the word issues quickly. This could also help us on math tutors online. Other challenges occur when students skip steps to solve the issue. The nice news is that most word issues follow similar steps. Continue reading to learn more about how to solve word issues.

Note on half life equation

Introduction of half-life:

Today let me help you understand on half life equation. The time required for the atoms to disintegrate is considered as infinite. The half-life is considered for the radioactive element. Half-life of a radioactive element is the time required to reduce its size to the half of its initial amount of the radioactive sample. This half-life of radioactive is used for comparing the different radioactive elements and their activities.

Equation of Half-life:

Equation of half-life:

One of the characteristics of the radioactive element is half-life. It is the time taken to reduce its value half of the radioactive element. The equation of half-life is T/2. The range of half-life is from micro changes to billions of years. It is depends on the radioactive element.This could also help us on grams to liters.

Representation of equation of half-life:

Consider a radioactive element has N nuclei at initial. After first half-life time the radioactive element has N/2 nucleus and after next half-life time again it is reduced into N/4 and so on.

Help on Meters to Inches

Today let me help you go thorough on meters to inches. Since we had studied more on what is all about meters to inches.. now let me help you go through more deeper with the following help of examples.

Meters to Inches – Examples:
Convert 5 Meters to inches?

Solution:
Step 1:
Formula for converting meters to inches:
1 meter = 39.3700787 inches
Step 2:
So to find 5 meter
Step 3:
Multiply 5 with 39.3700787 = 196.8503935. This could also help us on what is ph
Step 4:
Therefore, 5 meter = 196.8503935 inches

Conditional Probability

Conditional Probability
The conditional probability of an event B will be the probability that the event will occur given the knowledge that an event A has already occurred. This probability is written P(B|A), notation for the probability of B given A. In the case where events A and B are independent to the conditional probability of event B given event A is simply the probability of event B, that is P(B)..
Let us consider the events A and B are not independent, then the probability of the intersection of A and B (the probability that both events occur) is defined by
P(A and B) = P(A)P(B|A).
From this definition, the conditional probability P(B|A) is easily obtained by dividing by P(A):
P(B|A)= P(A and B)/ P(A)
This expression is only valid when P(A) is greater than 0. This could also help us on digestive system diagram

Introduction to grade 5 math

Introduction to grade 5 math:

In this section let me help you on grade 5 math. Probability is a way of expressing knowledge or belief that an event will occur or has occurred. In mathematics the concept has been given an exact meaning in probability theory that is used extensively in such areas of study as mathematics, statistics, finance, gambling, and science. In this article we shall discuss about grade 5 probability problems

Grade 5 Math Probability Example Problems

Here we are going to discuss grade 5 probability problems with detailed solutions.

Problem:

An unbiased die is rolled once at a time find the probability of shown the number 6 in dice.

Solution:

A dice is rolled once at a time, the possible chance of sample space is S= {1, 2, 3, 4, 5, 6} and, therefore, the sample space n(S)=6.. This could also help us on average deviation

Consider E1 = event of rolling a dice getting the number 6

E1= {6} and, therefore, n (E1) =1.

Therefore probability (getting number 6) = P (E1) = n (E1) / n(S) = [1 / 6]

Introduction to quantum number

Introduction to quantum number:

In this section let me help you on quantum numbers. Let us discuss the chemistry quantum number. In an atom, the relative distance of electron form the nucleus, type of orbital, direction of spin etc. the type of information is shown by the numbers. This is called the quantum numbers. The quantum numbers n, l and m evolve from Schrodinger sign equation but the fourth quantum number is called the spin quantum number.

Definition of Quantum Number

The chemistry quantum number is also essential for the complete description of an electron and undefined slope. This chemistry quantum number does not appear in solutions of wave functions obtained by solving schordinger equation but it is introduced on the basis of observations. Next we see the principal of quantum number chemistry.

Help on Probability Formula

Introduction to probability formulas help:
Probability formula is one of the most important parts in the mathematics. Consider the example; a card is drawn from the set of cards. Probability is the way for expressing the event.The formula includes the process of finding the probability for the normal event and the mutually exclusive event. The probability theory is used in the field of mathematics and the statistics.

Formula - Probability Formulas Help:

• The formula used to predict the probability for any event A is P (A) = number of favorable cases/ total number of cases.
• P (A’ ) + P (A) = 1
• P(S) =1, where S determines the sample space.
• P( A U B) = P(A) + P( B), A and B are called the mutually exclusive events.
• If A, B are any events then P( A U B) = P(A) + P( B) - P(A ∩ B)
• P (A ∩ B) = P (A) P (B), A and B are called as the independent to each other events that means the independent event. This could also help us on rate of change formula

Example Problems for Probability Formulas Help:
Example 1 for probability formulas help:
The events A and B are mutually exclusive event and P (A) = 0.35 and P (B) = 0.56. Calculate the value for P (A U B).
Solution:
Given that P (A) = 0.35 and P (B) = 0.56. We have to find the value for P (A U B).
The formula used to find P (A U B) if A and B are mutually exclusive event is
P (A U B) = P (A) + P (B)
P (A U B) = 0.35 + 0.56
P (A U B) = 0.91
The value for P (A U B) is 0.91.

Father of Geometry

In this session let me help you on who is father of geometry. Once you read this .. if you still have any doubts.. or anything you wish to share it along with me do leave your comments.

who is father of geometry?

Eulicid is considered the father of geometry. There are a number of other early contributors to this branch of mathematics, but it is Euclid who gave us the extraordinary mathematical text, Elements. Links can be found below for more information

This can also help us on modern periodic table. Although many of the results in Elements originated with earlier mathematicians, one of Euclid's accomplishments was to present them in a single, logically coherent framework, making it easy to use and easy to reference, including a system of rigorous mathematical proofs that remains the basis of mathematics 23 centuries later

Note on Cosine Rule

Introduction of learning cosine rule:-

In this section let me help you on cosine rule. Before i go more deeper on this let me help you on what is all about cosine?

What is a cosine?

Cosine , abbrevated as cos, is one of the trigonometric functions which are used to relate angles with sides in a right triangle .Cosine is a periodic function with period 180o .It has maximum value at multiples of 360o and minimum value at multiples of 90o angles.

Defnition of cosine :

Cosine of an angle [theta] in a right triangle is definrd as ratio of the length of side adjacent to angle [theta] to the

hypotenuse of triangle. This will also help you on cumulative frequency

cosine

In the above right triangle:

["cos ] is difined as ratio of length of adjacent side 'a' of angle theta to length of hypotenuse of

triangle 'b' . SO cos [theta] = a / b.

Introduction to prime number list

Introduction to prime number list:

List of prime numbers is a number only factors are itself 1.For example, 13 is a prime numbers, since it only factors are 1 and 13 this is the beginning list of the prime numbers as show below.

Prime number list

Here 2 is only the even prime number.The list of all the prime numbers goes on without stopping

Problem 1:

Identify each of the numbers below as either a prime numbers or a composite number. For other that are composite, give two divisor other than the number itself or 1

1. 43

2. 12

This will also help us on permutations and combinations

Solution:

a. Here 43 is a prime numbers because the only number that divide it without a remainder are 43 and 1.

b.12 is a composite number, because it can be written as 12 = 4*3 which means that 4 and 3 are divisor of 12