Part A Q2-Maths Assignment 2012, Mrs Pillai Lvl 1
Irrational numbers are numbers that are neither whole numbers nor ratios of whole numbers. Irrational numbers are real numbers in the sense that they appear in measurements of geometric objects--for example, the number pi (II). However, irrational numbers cannot be represented as decimals, unlike rational numbers, which can be expressed either as finite decimals or as infinite decimals that eventually follow a repeating pattern. By contrast, irrational numbers have infinitely long decimal expansions that never form a repeating pattern. Thus, the number pi can never be written down exactly in decimal form, it can only be approximated, by decimals such as 3.14159. The golden ratio is another famous irrational number approximately equal to 1.618. It appears many times in geometry, art, architecture and other areas Hippasus

Hippasus is credited with the discovery of irrational numbers. The Pythagoreans were a strict society and all discoveries that happened had to be directly credited to them, not the individual responsible for the discovery. The Pythagoreans were very secretive and did not want their discoveries to get out. They all took oaths to ensure that their discoveries remained with the Pythagorean society. They considered whole numbers to be their rulers and that all quantities could be explained by whole numbers and their ratios. Along came Hippasus who discovered irrational numbers which consequently meant he was drowned. Hippasus was the disciple of Pythagoras; he was of course famous for his discovery of irrational numbers and more specifically his discovery of √2. There are many methods out there that prove the irrationality of √2. However this is the one that Hippasus used:

The proof of the irrationality of √2 is as follows:

1.Take a right triangle whose short sides are 1 unit in length 2.By the Pythagorean theorem, the diagonal is √2
3.Suppose that √2 is the ratio of two natural numbers,...

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Short answers
5. What two things must you normally specify in a variable declaration?
You must specify the variable type and an identifier.
int n; // type - int, identifier - n
6. What value is stored in uninitialized variables?
is a variable that is declared but is not set to a definite known value before it is used.
Algorithm workbench
3. Write assignment statements that perform the following operations with the variables a, b, and c.
a. Adds 2 to a and stores the result in b
b. Multiplies b times 4 and stores the result in a
c. Divides a by 3.14 and stores the result in b
d. Subtracts 8 from b and stores the result in a
Assignment statements that perform operations with the variables a, b, and c* (*Actually none of these operations involves the variable c at all... is this an error, or a 'trick answer'?):
b = a + 2
a = b * 4
b = a / 3.14
a = b – 8
4. Assume the variables result, w, x, y, and z are all integers, and that w = 5, x = 4, y = 8, and z = 2. What value will be stored in result in each of the following statements?
a. Set result = x + y
b. Set result = z * 2
c. Set result = y / x
d. Set result = y – z
result = x++ - y;
Answer -4
result = 4 – 8 = -4
result = ++w + y;
Answer
w = w + 1 = 5 + 1 = 6
result = 6 + 8 = 14
5. Write a pseudocode statement that declares the variable cost so it can hold real numbers.
Declare Real price= 0.00
Display "the original price."
Input item original price
Display...

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ASSIGNMENT SUBMISSION AND ASSESSMENT
_________________________________________________________________________
OUMM3203
PROFESSIONAL ETHICS
(PLEASE EDIT WHERE NECESSARY-THIS IS ONLY SUGGESTIONS FOR THE ASSIGNMENT’S GENERAL INSTRUCTIONS)
_________________________________________________________________________
INSTRUCTIONS TO STUDENTS
1. This assignment contains only ONE (1) question that is set in the language of the printed module for the course.
2. Answer in _______ or English.
3. Download the language version of the assignment template concerned from the MyVLE for preparation and submission of your assignment. Your assignment should be typed using 12 point Times New Roman font and 1.5 line spacing.
4. Your assignment should be between 2500 to 3000 words excluding references. The number of words should be shown at the end of your assignment. Do not copy the assignment question and instructions to your answer.
5. You must submit your assignment ON-LINE via the MyVLE. Refer to the portal for instructions on the procedures to submit your assignment on-line. You are advised to keep a copy of your submitted assignment for personal reference.
6. You can submit your assignment ONCE only in a SINGLE file.
7. Your assignment must be submitted between...

...PT1420 - Unit 5 Homework and Lab Assignment
Unit 5 Assignment 1: Homework
1.) Design an if-then statement that assigns 20 to the variable y and assigns 40 to the variable z if the variable x is greater than 100. (Simple if statement)
If x > 100 then
Y=20
Z=40
End if
2.) Design an if-then statement that assigns 0 to the variable b and assigns 1 to the variable c if variable a is less than 10. (Simple if statement)
3.) Design an if-then-else statement that assigns 0 to variable b if variable a is less than 10, otherwise it should assign 99 to variable b. (Alternative if statement)
If a < 10 then
B = 0
Else
B = 99
End f
4.) The symbols >, <, and == are all Relational operators.
5.) The if-then statement is an example of a conditioal structure.
6.) The Selection structure is based on boolean logic.
7.) The if-else statement is know as a dual alternative decision structure.
8.) A nested if statement is used to ask multiple questions before deciding what processing path to take.
True False
*****************************************************************
Unit 5 Labs
1.) Lab 5.1: Evaluating Conditions with Relational Operators.
Critical Review
A relational operator determines whether a specific relationship exists between two values.
Relational operators
Operator
Meaning
Boolean Expression
>
Greater than
X > Y
<
Less than
X < Y
>=
Greater than or equal to
X >= Y
<=
Less than...

...Alma Guadalupe Luna
Math IA (SL TYPE1)
Circles
Circles
Introduction
The objective of this task is to explore the relationship between the positions of points within circles that intersect.
The first figure illustrates circle C1 with radius r, centre O, and any point P. r is the distance between the centre O and any point (such as A) of circle C1.
Figure 1
The second diagram shows circle C2 with radius OP and centre P, as well as circle C3 with radius r and centre A. An intersection between C1 and C2 is marked by point A. The intersection of C3 with OP is marked by point P’.
Figure 2
Through this investigation I will examine how the r values correlate with the values of OP in determining the length of OP’ when r is held as a constant variable and the value of OP is the variable that is subject to change. I will then venture on to study the inverse, the relationship when the r values becomes the variable that is changed and the OP value is held constant.
r as a Constant
If we let the value of r be equal to 1, we can use that information to find the length of OP’ when OP=2, 3, and 4. The first thing one can deduce is that by using the points A, O, P’, and P two isosceles triangles can be formed; ∆AOP and ∆AOP’. To rationalize this assertion through an analytic approach it should first be understood that all line segments that...

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Chartered Management Institute Approved Centre
Level 5 Extended Diploma in Management and Leadership
Written Assessment – 5
Unit 5001V1
Instruction Sheet
Assignment: Unit 5001V1 – Personal development as a manager and leader
Level: 5
Lecturer: Ian Laing
Date of Issue: 13th May 2015
Date Due In: 26th June 2015
Format: Word Document submitted to:
ianlaing@ihlassociates.karoo.co.uk
Assessment Outline
Candidates are to write an essay of between 2500 and 3000 words excluding appendices about how to improve their own management and leadership skills and competencies to help meet your performance objectives. You should also write about how you develop effective working relationships to help you deal with a variety of situations in the workplace which will require you to support and promote staff welfare.
Your essay should be based on research, investigation and analysis which you have carried out yourself making sure that you acknowledge sources and include appropriate references, bibliography and appendices in support of your investigation and argument.
The essay should answer the following questions demonstrating your knowledge and understanding of the topics covered by this unit.
1. Identify the importance of continual self-development in achieving organisation objectives. Also assess your current skills and competencies against...

...Homework Assignment 1
1. For each of the following equations determine whether it is linear in its variables
or not. Explain your decision.
a) b) c)
2. Solve each of the following systems and comment on geometric interpretation of its solutions.
a) b) c)
3. Solve the following linear systems by Gauss-Jordan method:
4. Each of the following matrices is an augmented matrix of some linear system.
In each case, determine :
the ranks of the augmented and the coefficient matrices
if the system is consistent (explain your decision),
and what is the number of solutions if it is consistent.
a) b) c)
5. Find the values of the parameters a and b such that the following linear system
a) will be inconsistent; b) will have infinitely many solutions; c) will have exactly one solution.
6. Find all the values of a, for which the following homogeneous system has a non-trivial solution. Find the general solution in this case.
7. Propose an example of a REF of the augmented matrix of a system of 4 equations in 4 variables that
(a) has a unique solution
(b) has infinitely many solutions
(c) is inconsistent.
8. For each of the following statements determine whether it is true (T) or false (F). Substantiate your decision.
(a) A linear system is inconsistent if the number of its equations exceeds the number of the variables.
(b) If...

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Week 2 Assignment
Yasir Shakoor
Intermediate Algebra MAT222
Professor Perez
09/01/2014
For our Week 2 assignment, in Intermediate Algebra, we were asked to solve the problem number 68 on page 539 of Elementary and Intermediate Algebra. aside from completing the problem, we were also asked to write a two to three page paper while including the five given vocabulary words for the week. Please see the problem below:
Shipping restrictions. The accompanying graph shows all of the possibilities for the number of refrigerators and the number of TVs that will fit into an 18-wheeler.
a)
Write an inequality to describe this region.
b)
Will the truck hold 71 refrigerators and 118 TVs?
c)
Will the truck hold 51 refrigerators and 176 TVs?
Kindly consider the five given vocabulary words:
Solid line
Dashed line
Parallel
Linear inequality
Test point
In order to solve the problem, we need to be aware that the formula to solve any linear equation is y=mx+b. with the said, we can say that we have our y- intercept which is 330. (The ordered pair 0,330 demonstrates that the y coordinate is 330). Since we have our y- intercept, we will now discover what our slope is. The formula to determine any slope of a line is
m=y1- y2
x1-x2
M= 330-0
0-100
After performing division and simplifying, we have found that the slope of our line is -3.
a) Write an inequality to describe this region.
The inequality to...

...Proportions
Tara Lint
MAT 222 Week 1 Assignment
Instructor: James Segala
August 18, 2013
Solving Proportions
Proportions exist in the real world. For example, in finding out the price of a unit, or the population of a specific species. The first problem that we are working with states that “. Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears.What is the conservationist’s estimate of the size of the
bear population?(Dugolpolski, 2012)
In reading over the “Bear Population” #56 on page 437 (Dugolpolski, 2012), the concept of proportions allow the assumption that the ratio of originally tagged bears to the whole population is equal to the ratio of recaptured tagged bears to the size of the sample. The estimated solution, variables will be defined and rules for solving proportions are used.
The ratio of originally tagged bears to the whole population is 50/x.
The ratio of recaptured tagged bears to the sample size is 2/100.
50=2 This is the proportion set up and ready to solve. This is the step where we will cross multiply.
x 100 at this point. The extremes are 100 and 50. The means are x and 2
100(50)=2x
50002=2x2 Divide both sides by 2
X=2500 The bear population of Keweenaw Peninsula is estimated to be around 2500.
For the second problem of this...