Pre Calculas Home Work

Introduction for pre calculus home work:

Pre calculus, (or Algebra 3 in some areas) advanced form of secondary school algebra, is a foundational mathematical discipline. It is also called Introduction to Analysis. In many schools, pre calculus is the actually two separate courses: Algebra and Trigonometry. (source:Wikipedia).

Homework, or homework assignment, refers to the tasks assigned to students by their teachers to be completed mostly outside of class, and derives its name from the fact that most students do the majority of such work at home. (Source:Wikipedia).

Examples on Pre Calculus home work -

Following is the example on Pre Calculus home work

Example :

If a triangle ABC, we have that sinA = 7/9, what are the values of cosA and tanA?

Solution:

We have the basic trigonometric identity:

sin² A + cos² A = 1

In our case, we know that sin A = 7 / 9, so we replace in the previous equation to get:

cos² A = 1-(7 / 9)²

We want to solve for cosA so we get

cos² A = 1 − (49/81) = 32 / 81

so we apply square root to get

cos A =sqrt (32 / 81) = 4 √2/9.

To find tan A we recall that the tan A = sin A / cos A, so using the information we already have we find that

Tan A = ( 7/9 ) / ( 4√2/9 ) = 7/ 4√2 = 7√2/8

Introduction to solving multi step equation:

If two expressions are in equal, then it is called as an equation. When we add, subtract, multiply or divide the similar number on both sides of the equation, the equation does not change. More than two steps are used to solve the equation is called as multi step equation. Now, we are going to see some of the problems on solving multi step equations.

Solving Multi Step Equations Problems:

Example problem 1:

Solve for the variable y: -20 = 3 (2 y + 8) + 4

Solution:

-20 = 3 (2y + 8) + 4

Eliminate the parentheses,

-20 = 3 (2 y) + 3 (8) + 4

-20 = 6 y + 24 + 4

-20 = 6y + 28

Subtract 28 on both sides of the equation

-20 - 28 = 6 y + 28 – 28

-48 = 6 y

Divide by 6 on both sides of the equation

-8 = y

So, the answer is y = -8.

Range in Math

Range in Math

Interval (also known as range)
The range is the distinction between the maximum and minimum value in the set of the data
Steps to find the Range:
Step1: First order the data from smallest to greatest (ascending order).
Step2: Subtract the smallest value from the largest value in the set.
Example 1:
The Jaeger family drove through 5 Midwestern states on their summer vacation. Gasoline prices varied from state to state. What is the range of gasoline prices?
35,79, $8
Solution:
Step 1: writing in ascending order: 3,5, 7,8, $9. This could also help us on figuring out percentages
Step 2: Range = 9−3= $6
Range is $6

Help with inverse of matrix

Introduction for inverse of matrix:
The inverse matrix method are formed on the basis like X=A-1B which is formed for finding the matrix X with the equation AX = B It is used in solving the linear system of equations. Here A-1 is the inverse matrix representation. If we have to find the inverse of the 3 x 3 matrix, which uses 2 x 2 matrix for finding the determinant value for the 3 x 3 matrix.

If we have to find the inverse of the 4 x 4 matrix, which uses 2 x 2 matrix and 3 x 3 matrix for finding the determinant value for the 4 x 4 matrix. This could also help us on harcourt math book.

Help with proportions and ratios

Proportions and Ratios
The ratio 50/15 may be simplified and written as 10/3.
50/15=10/3
An equation that state that the two ratios are equal is called a proportion. The preceding proportions may also be written in the form 50:15=10:3.
Percentage:
A percentage is a way of expressing number as a fraction of 100 (per cent meaning "per hundred"). This could also help us on inverse tangent calculator
Ratios:
The ration of two numbers p and q(q≠0) is the quotient of the numbers. The numbers p and q referred to as the terms of the ratio.

Help with Composite Number

Introduction to composite number:
In this section let me help you on what is composite number? A composite number is a positive integer which has a positive divisor other than one or itself. In other word, if n > 0 is an integer and there are integers 1 < n =" a" href="http://en.wikipedia.org/wiki/composite">composite number.

The numbers one is a unit – it is neither prime nor composite. For example, the integers 14 is a composite number because it can be factored as 2 × 7. Likewise, the integer 2 and 3 are not composite numbers because each of them can only be divided by one and itself. This could also help us on direct variation

Help with composite number

Introduction to composite number:
There are different type of numbers and here we need to fiind what are the composite numbers between 1-100, before seeing that let us learn what is composite numbers and the different
types of numbers.

The following are the types of numbers:

• Natural Numbers
• Whole Numbers Integers
• Rational Numbers
• Real Numbers
• Odd numbers
• Prime numbers
• composite numbers

Composite numbers are which can be divide by more than 1 number except 1 and the number itself. This could also help us on how to do long division. The numbers which has more than two factors( 1 and the number itself) is called composite number

Help with simple algebra

Today let me help you on simple algebra. :et me explain this to you with the help of following example

Find algebra word problems on solving equations.

Question: Which of the following equation have x=2, y=3 as solution ?
(a) 8x-y = 12 (b) 2x+3y = 10

Answer: (a) Substitute x=2, y=3 in 8x-y=12
8(2)-3=12
16-3=12

x=2, y=3 is not a solution of 8x-y=12
(b) Substitute x=2, y=3 in 2x+3y=10. This could also help us on horizontal line test
2(2)+3(3)=10
4+9=10

x=2, y=3 is not a solution of 2x+3y=10.

Composition of Functions

Introduction for composition and invertible function:

In this article let me help you on composition of functions. An invertible functions for ƒ is a function from B to A, with the property that a round trip (a composition) from A to B to A returns each element of the first set to itself. A functions ƒ that has an inverse is called invertible; the inverse function is then uniquely determined by ƒ and is denoted by ƒ⁻¹. Function composition is the applications of one function to the results of another. For instance, the functions f: X → Y and g: YZcomprised by computing the output of g when it has an argument of f(x) instead of x

Q. Composition of a function as : h(x)= x2+2x-3. determine dom of f, dom of gand dom of h. This could also help us on intermediate algebra help

Answer 1

Composition is the operation of taking the output from one function and using that as the input to a second function. this site!

How to find percentage of a number?

Today let me try to help you on how to find percentage of a number. Since we have studied all about percentage let me give you an example to help you on this better. Keep reading if you still have any doubts do leave your comments.

Here is an illustration to show how to find percentage of a number.

Example : Calculate 25% of 70

Solution :

Given Number has to be written as,

25  x 70
100

or it can be simplified as

 1  x 70
4

 70   This could also help us on transformations math
4

= 1.75

algebra calculator

Introduction of free online algebra calculators:

Algebra Calculator is the part of mathematics which always deals with the study of operations such as addition, subtraction, multiplication and division. Algebra includes variables, constants, polynomials, exponents, terms and expressions. Basic operation of algebra is to balance the expression on both sides. This article free online algebra calculator briefly tells you the operations of algebra with various examples.
Examples of Free Online Algebra Calculators:

For free online algebra calculators consider the following examples.

Ex 1: Simplify the expression:

10(a-5) + 7b-4(2a -3b+5) +15

Sol : = (10a-15) + 7b-4(2a -3b+5) +15.

= 10a-15 + 7b -8a+12b-20+15.

= 10a-8a+7b+12b-15-20+15. This could also help us on factors of 25

= 2a+19b-20.

fractional notation calculator

Fractions :

In This section let me help you on fractional notation calculator

A certain part of the whole is called as fractions. The fractions can be denoted as a/b , Where a, b are integers. We can multiply two or more fractions. There are three types of fractions in math,

1) Proper fractions

2) Improper fractions

3) Mixed fractions. This could help us on complex fractions calculator

Online math help

Introduction to Online Math Help Division:
In this article let me help you on online math help. Many online websites are available today. In those websites, the quotient can be obtained by dividing two numbers explained step by step briefly about the topic for lower grade students to understand clearly. Division is said to be dividing anything into parts. The operation that determines how many times a quantity contained in another called as inverse of multiplication. The result of division is called as quotient.

This could also help you on online algebra 1 help. In division a ÷ b is c. Here “a” is dividend and “b” is divisor and “c” is called as quotient. Let us see about online math help division in this article.

Calculus Problem Help

Introduction to calculus problem help:-

In this lesson lets study about calculus problems online. Before i teach you on calculus issue let me help you what is calculus and how does it importance to arithmetic.

What is calculus?
Calculus (Latin, calculus, a tiny stone used for counting) is a branch in arithmetic focused on limits, functions, derivatives, integrals, and boundless series. This subject constitutes a major part of modern arithmetic schooling.

Example issue on calculus:

Query: Differentiate the given equation with respect to t. y = - 2t3 + 8t2 + 46t.

Solution:
Given: y = - 2t3 + 8t2 + 46t.
Differentiate with respect to t,
dy = - (2 × 3)t(3 - 1) dt + (8 × 2)t(2 - 1) dt + 46t(1 - 1) dt.

= - 6t2 dt + 16t dt + 46 dt.

= (- 6t2 + 16t + 46) dt.

dy / dt = - 6t2 + 16t + 46. This could also help us on calculus problem solver

Answer:
d/dt(- 2t3 + 8t2 + 46t) = - 6t2 + 16t + 46.

Arithmetic progression

Introduction to Arithmetic progression:

In this article, we shall discuss about arithmetic progression. Progressions are of two types .They are arithmetic and geometric progression. An Arithmetic progression which consists of the sequence of numbers and the terms except the first can be obtained by adding one number to its preceding number. Arithmetic progression is denoted as the arrangement of two consecutive numbers, the progression which is constant.

Example Problems for Arithmetic Progression

Example 1:

The sequence terms of an A.P. 6, 1, –4...Find the 10th term.

Solution:

Consider the A.P in the form a, a + d, a + 2d, ...

Here, a = 6, d = 1 – 6 = –5, n = 12

tn = a + (n–1) d. This could also help us on grade 9 math

t10 = 6 + (10 – 1) (–5) = 6 + 9 x (–5) = 6 – 45 = – 39
:.The 12th term is –39.

corresponding angles

Introduction to corresponding angles
In this section let me help you on corresponding angles, an angle (in full, plane angle) is the figure formed by two rays sharing a common endpoint, called the vertex of the angle.[ The magnitude of the angle is the "amount of rotation" that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the other (see "Measuring angles", below). Where there is no possibility of confusion, the term "angle" is used interchangeably for both the geometric configuration itself and for its angular magnitude. Now let us see about the corresponding angles

Corresponding Angle Sum
Corresponding angle Example:What are the measures of the other angles in the diagram? Suppose that angle1 has a measure of 60º

Answer:
Angle 8 is also 60º since it is vertical to angle 1. This could also help us on Prime factorization Calculator.
Angle 2 has a measure of the 60º since it is a corresponding angle 3to angle 1.

Angle 5 has a measure of 60º since it is vertical with angle 2, and also since it is an alternate exciter angles to angle 1.

Another angle is all corresponding angles 1, 2, 5, and 8 have a measure angles are 120º.

Introduction to obtuse triangles

Introduction to obtuse triangles:

There are three types of triangles ( based on size of angles ), namely

* Acute angled triangles ( triangles with angles measuring less than 90 degrees)
* Right angled triangles ( triangles with one angle measuring exactly 90 degrees) and
* Obtuse angled triangles ( triangles with one angle measuring more than 90 degrees)

Obtuse triangle is also called obtuse angled triangle. Unlike acute triangles, where there can be three acute angles in a triangle, an obtuse triangle can have only one obtuse angle.

Obtuse Angle

Before going deeper, we need to know what an obtuse angle is. Obtuse angle is an angle that measures more than 90 degrees. This could also help us on mole fractionThis is an obtuse angle. Here angle ‘a’ is the obtuse angle.

Help on Expression Calculator

Introduction:

Today let me help you understand on expression calculator. Expressions are defined as finite combination of numbers and symbols that are well performed according to rules. Expressions are considered to be the major part of algebra. Algebra consists of numbers and variables. Algebraic expressions consist of finite combination of numbers and variables.In this article, we are going to see about solving expressions calculator.

Solving Expressions Calculator:

Solving expressions calculator is used to find the value for the given expression. Solving expressions calculator are very helpful for the students who lacks in arithmetic operations. Using these calculators, hard problems can be solved easily. When the given expression is entered in the calculator, it automatically delivers the output.The diagrammatic representation of the solving expressions calculator is shown below. This could also help us on cubic yard calculator.

Solving Expressions Calculator: -

Example:

Simplify 25x – 17x, by combining like terms.

Solution:

Here the like terms are x,

= 25x – 17x

Taking common terms outside,

= x (25-17)

= 8x

The answer is 8x.

Introduction to Alphabet of lines

Introduction to Alphabet of lines

In this leasson let me help you on alphabet of lines. In order to understand what the line is trying get across, you must be able to understand the symbols. The standard thickness of the line is 0.030 to 0.038 inches. The standard thin line weight varies from 0.015 to 0.022 inches.

Main Types of Lines

There are 09 types in lines. They are,

1) Visible Lines: The visible lines should be dark heavy and dark lines. It shows the outline and shape of the object. It defines you can see in particular view.

2) Hidden lines: The hidden lines should be light, narrow, short and dashed lines. It shows the outline of a feature that cannot see in particular view. It used to help Clarify feature.

3) Section lines: Thin line usually drawn at 45 degrees angle and it indicates the material that has been cut through in sectional view. This will also help us on net ionic equation calculator

4) Center Lines: The center lines are nothing but thin line consisting of long and short distances. It shows the center of holes, slots, paths of rotation and symmetrical objects.

5) Dimension lines: In alphabet of lines the dimension lines is nothing but lines dark and heavy lines. It shows the length , width , and height of the features of an object. It terminated with arrow heads

6) Extension lines: In alphabet of lines extension lines used to show the starting and stopping points of a dimension and it must have at least a 1/16 space between the object and the extension line.

7) Leader lines: In alphabet of lines leader lines should be thin lines and used to show the dimension or a note that is too large to be placed beside the feature .

8) Cutting plane lines: In alphabet of lines cutting plane lines is thick broken line that is terminated with short 90 degree arrow heads.

9) Break lines: In alphabet of lines break lines is used to break out sections for clarity or for shortening a part.

What does arithmetic mean?

In this section let me help you on what is arithmetic mean.

Definition for Arithmetic mean:

In mathematics and statistics, the arithmetic mean (or simply the mean) of a list of numbers is the sum of all of the list divided by the number of items in the list. If the list is a statistical population, then the mean of that population is called a population mean.

Steps to Find out the Mean:

1. Add all the numbers (on a scratch piece of paper if needed.)

2. After we have added the numbers correctly, count how many numbers there are

(for example: 2, 3, 5, 4, 1 there are 5 numbers, right.)

3. Now divide the integer of how many of the numbers you have by the sum

(For example: 20(sum) divided by 5,(how many of the numbers) the answer would by 4). This can also help us on homework now

Formulas for Arithmetic Mean

Grouped Data Arithmetic Mean Definition:

Data arising from organizing n observed values into a smaller number of disjoint groups of values, and counting the frequency of each group; often presented as a frequency table.

Formula:

Grouped Data Arithmetic Mean :

Arithmetic Mean = ΣfX / Σf

where

X = Individual score

f = Frequency