A mathematical investigation is defined as a collection of worthwhile problem-solving tasks that has multi-dimensional content, is an open-minded, permitting several acceptable solutions and is often embedded in a focus question. In addition, a mathematical investigation involves a number of processes, which includes ---- researching outside sources to gather information, collecting data through such means as surveying, observing or measuring, collaborating with each team member taking specific jobs and using multiple strategies for researching solutions and conclusions.

Our investigation is to express the multiples of nine, in which it aims to show the possible values that could be divisible by nine. There are some topics on our investigation related to math. One of these topics is factoring.Factoring are any of the numbers or symbols in mathematics that when multiplied together form a product or a number or symbol that divides another number or symbol. It is also a quantity by which a given quantity is multiplied or divided in order to indicate a difference in measurement.

II. Statement of the Problem :

The observation of the multiples of nine.
More specifically, the observation attempted to provide answers to the following questions:

Consider the digits in the multiples of nine written in order. -How does each unit digits compare with one before it.

- What happens with the tens and the hundreds of digit.

Consider the sums of the digits in the multiples of nine.

-Try some large numbers (eg. 3168) as well as small goes.
-Look for a use for what you have observed.
-What happens if combinations of the digits are added?
(For 3168, consider as 3+16+8 or 31+68)

...different weight ranges, which limit their use. Because of variability of these tables, BMI has become the measurement of choice for many doctors and researchers. BMI is calculated using a mathematical formula that accounts for a person’s height and weight. BMI is equal to a person’s weight in kilograms (kg) divided by height in meters squared (BMI=).
Aim
The aim of this project work is to investigate the relationship between height, weight and BMI with students’ health condition. The purpose of this campaign is to create awareness among students about obesity or underweight related to health problems. We should select an appropriate balanced diet to avoid from being a victim to such illness. Nutritional guidelines play an important role in helping us to make informed choices about our nutrient intake. The foods that constitute a balanced diet should contain the major nutrients which include carbohydrates, proteins and lipids, as well as vitamins, minerals, water and dietary fibre. A balanced diet is essential for the healthy growth and development of the body.
The objectives of carrying out this project work are:
1 To collect data on the heights and weights of students.
2 To calculate BMI of each students.
3 To represent data using various methods.
4 To relate students’ knowledge with the data obtained.
5 To suggest ways to practice healthy lifestyle.
The methods of research are as follows:
1 To obtain the height, weight and BMI...

...
ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

...MATHPROJECT SELECTION LIST
1. Investigate the five "perfect" (or Platonic) solids and explain why there are only five. References: "The Mathematics Teacher", April '77, p. 335; I have directions for making the solids from strips of paper; NCTM Student Math Notes, May 1999.
2. Research an invention based on unusual geometric properties or configurations (e.g. Rolamite Bearing, Wankel Engine, Holograms, etc.). References: "Popular Science", Feb. '76, p. 106; "Popular Science", Aug. '76, p. 84; "Scientific American", Aug. '72, p. 15; Edmund Scientific Catalog; Student Math Notes, March 1989, Consortium Fall 1995(#55), The Mathematics Teacher Jan 1998; "The Mathematics Teacher," January 1998, p. 12.
3. Learn about the Escher variety of periodic drawings and learn how to analyze an Escher drawing to find the unit cell, etc. References: "The Mathematics Teacher", April '74,; "The Mathematics Teacher", Dec. '76, p. 647; I also have some materials for this.
4. Investigate tiling the plane with similar figures, (i.e. tessellation). References: "Scientific American", July '75, p. 112; "Scientific American", Aug. '75, p. 112; Sachs, ed. Student Merit Awards, (Mr. Funsch) p. 108 ff.
5. Analyze and describe the construction of an accurate sundial (gnomon). Reference: "The Mathematics Teacher", May '75, p. 438; Waugh, Sundials, Their Theory and Construction, '73, New York, Dover.
...

...Name: Math Manisa
No.: 10740
Project 2
Regression Line
The following table shows (for the years 1965 to 2000 and for people 18 and over) the total percentage of cigarette smokers, the percentage of males who are smokers, and the percentage of females who are smokers.
Percentage of Smokers
_________________________________________________________________________________________________
Year Total Population All Males All Females
_________________________________________________________________________________________________
1965 42.4 51.9 33.9
1974 37.1 43.1 32.1
1979 33.5 37.5 29.9
1983 32.1 35.1 29.5
1985 30.1 32.6 27.9
1987...

...ANNEXTURE
Questionnaire
Dear respondent,
I m a student of “Bhagwan mahavir college of business administration, surat” conducting a survey for my project preparation, as the requirement of partial fulfilment of subject project in third year(semester-VI) BBA in surat city of a study on “A COMPARATIVE STUDY ON BRITANNIA AND PARLE COMPANY IN SURAT CITY (A SURVEY ON BISCUIT )” I assure that the information given by you are strictly used for academic purpose only. I request you to help me in gathering information by filling up yhe following information.
Thank you,
Abhishek sojitra
Bhagwan mahavir business administration
Top of Form
1) Do you eat biscuit?
Yes
No
2) Select your likely tastes for biscuit?
Sweet
Salty
Sweet & Salty
Cream biscuit
Others
3) What type of biscuit you normally prefer?
Branded
Bakery product
4) How often do you eat biscuit?
Once in a week
Once in a month
Once in a fortnight
Alternate days
Every day
5) When do you have biscuit?
At breakfast time
At evening
Any time
6) Which brand you normally buy?
Britannia
Parle
Both
Other:
7) From where do you buy biscuit?
Provisional store
Hawkers
Convenience store
Other:
8) Out of the following brand which...

...Chapter 11
Four Decades of the Defence of
Australia: Reflections on Australian
Defence Policy over the Past 40 Years
Hugh White
The serious academic study of Australian defence policy can be said to have
begun with the publication of a book by the SDSC’s founder, Tom Millar, in
1965. The dust jacket of that book, Australia’s Defence, posed the following
question: ‘Can Australia Defend Itself?’ Millar thus placed the defence of Australia
at the centre of his (and the SDSC’s) work from the outset. Much of the SDSC’s
effort over the intervening 40 years, and I would venture to say most of what
has been of value in that effort, has been directed toward questions about the
defence of the continent. This has also been the case for most of the work by
Australian defence policymakers over the same period. In this chapter I want
to reflect on that work by exploring how the idea of the ‘defence of Australia’
has evolved over that time, and especially how its role in policy has changed,
from the mid-1960s up to and including the most recent comprehensive statement
of defence policy, Defence 2000: Our Future Defence Force.
This is no dry academic question. The key question for Australian defence
policy today is how we balance priority for the defence of Australia against
priority for the defence of wider strategic interests. The starting point for that
debate is the policies of the 1970s and 1980s, which placed major emphasis on
the defence of the continent....

...Yr 10
Mathematics
Assignment
LCR Maths
By Adonis Chigeza
Understanding and Fluency Tasks
Task A
1. y = 1.2𝑥 + 2.57
2. Interpolation: y = -3.43
Extrapolation: y = -8.23
Task B
a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height, t = time)
b) The vertical height of the ball after 2. seconds2.664m
c) The maximum height reached by the ball is 3.025m
d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds
e) The total time in which the ball was in the air is 10 seconds
f) The two times in which the ball was 1 metre above ground is 0 and 9
Adonis Chigeza 10C
LCR Mathematics
Problem Solving and Reasoning Task
1.
Equation: y = -1.2𝒙2 + 8.4𝒙
a. The bridge is 7 metres wides so therefore it will successfully span the river with 2
metres to spare.
b. If a yacht has a 15 metre mask it will be unable to pass safely under the bridge
because the bridge only has a vertical height 14.7 metres.
Adonis Chigeza 10C
LCR Mathematics
2. Equation: v= -0.2h2 + 2.4h
a. The horizontal distance covered by the rocket when it reached its maximum
height of 7.2 metres was 6 metres.
b. The maximum height reached by the rocket was 7.2 metres.
c. At the horizontal distance of 9 metres from the launch site, there is a 5.2 metre
wall and at that vertical distance, the rocket has a vertical distance 5.4 metre.
That is not taking to account the dimensions of the rocket, however the rocket
cannot have...