Mathematics Applied to Life
The mathematician S. Gudder once stated, “The essence of mathematics is not to make simple things complicated, but to make complicated things simple.” Although it seems extremely complex, the idea of mathematics seeks to simplify the unpredictable occurrences of life. Mathematics, the study of quantity, structure, space, and change, exists throughout the entire universe. It attempts to provide some solid explanation for the seemingly random chaos in the world. Mathematicians search for patterns that are present in life and that apply to the numerous laws of math. There are several fields of mathematics, some of the simpler ones being algebra, geometry, trigonometry, and calculus. One subject in particular that illustrates mathematical concepts is the game of football, or commonly known as soccer.

I have been playing soccer for almost ten years, and it is my passion. I chose this particular topic to explore the mathematical relevance of the sport, to attempt to further my knowledge of the game, and possibly improve my play through mathematical research. Football, also known as “the beautiful game”, is the most popular sport in the world, played by people of all ages and countries. It requires two teams of eleven players, including one goalkeeper, a regulation size field, a standard soccer ball, and an officiating team for official play. The objective of the game is to score the ball into the opposing team’s net, and with the exception of the goalkeeper and throw-ins, the players are not allowed to use their hands. Players use the rest of their body to dribble, pass, and shoot to drive toward the other opponents’ goal. The team with the most goals at the end of the match is declared the winner.

One aspect in which soccer relates to the mathematical concept of geometry is the dimensions and mechanics of the field, also known as the pitch. A FIFA-regulation field is a rectangle, measuring 100 yards by 60 yards, divided in the...

...From many decades ago soccer has always been a sport where anyone is welcome to play and watch from little kids to teenagers and to elders who have had love for the game since they've been toddlers. So we will go into depth of soccer to see how it started, how its played along with the regulations/rules of the game and talk about the players that have changed the game forever and have made it so popular.... First off the sport name wasn't always calledsoccer till it came to the United states, it was called football. It originated from many other sports such as Tsu-chu translated "kick Ball" a game that was played by the Chinese in 206-255BC and it started to be called soccer in the 16th century of Europe and England but very different to the game up to today. Football was slowing becoming a well know sport it started creating leagues, The first president of FIFA was Robert Guérin. The first tournament FIFA staged, was on the football competition for the 1908 Olympics in London despite the presence of professional footballers. So After the big deal of Football been played around the world and having leagues a set of rules and regulations were made.... these rules weren't made by FIFA, these rules were made by a college named Eton College that made the sport famous in colleges and in many schools and colleges these rules were called "Cambridge rules" There are some rules that might just save your life such as wearing...

...
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...

...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...

...Nicolas, Fatima May D.
2014 45876
My Math Experience
When I was younger math was my favorite subject, it was something that I felt very confident
with. Unlike english, history, and literature, where I had to exert extra effort, math was the only
subject that really came naturally to me. I remember when I was a kid my dad would test me on math questions, usually about lines and figures. What kind of line intersects, what are parallel
lines? I was probably about 7 years of age, and it really impressed family friends when the
answer was correct.
In school, I always did well in math especially basic math, it was simple and it was easy.
Back then, I still have the capacity to help out other students and I was always helping out
friends with their assignments. I always got high grades on tests and I was usually done first
when it came to exams. It was really up until I started high school. Then, algebra happened, since
we didn’t have any lessons given regarding algebra (even the most basic ones) during elementary
I didn’t understand a word the teacher was saying, it was like I was reading a different language.
It was hard at first because I for one like solving problems with numbers but when it started
involving letters I knew I had to work harder because it would be different than what we have ...

...• What were the most revolutionary social and economic developments of the last quarter of the nineteenth century?
• How did different groups of Americans respond to those changes and how effective were their responses?
• What role did government play in these developments?
In the late 1900s some of the most social and economic developments were railroads, steel oil, the type writer cash register, light bulb and agriculture. The development of the railroad made it easier for immigrant to come to this country for work. This meant that there were more group of different races and cultures in America. And in some states there became an over population and city workers like police and garbage men could not keep up with the demand of so many people. Some groups mover to open land for the Homestead Act. They had hope of farming and staying on the land for at least five years as agreed but the supply and demand of agriculture did sustain so many farmer moved off the land well before their five years. The government played many different role I deescalating some issues in American history. Women and children were being worked for long hours and getting paid a little bit of nothing in return for their hard work. So the government put labor laws into place that were to protect women and children. As oil, steel and railroad industries grew so did the levels of pollution. The government again put laws that were to protect animals and the earth so that there would not...

...MATH 122 SYLLABUS
Faculty Information: Name: E-mail: Office: Office Hours:
Section 08 B-1-122 MAK MW 6:00 – 7:15 PM Fall 2013
Corrina Campau campauc@gvsu.edu A-1-132 MAK Phone: (616)331-2052 Tuesday, Thursday 3:45 – 4:30 PM Monday, Wednesday 3:30 - 4:30 PM Monday, Wednesday 7:15 – 8:00 PM by appointment only
Prerequisite:
MTH 110 (a grade of C or better is recommended) or assignment through GVSU Math Placement. You may wish to take the MTH 122 proficiency test which would allow you to waiver 122 and is offered during the first week of class and other times during the semester. For more information visit gvsu.edu/testserv and click on Math placement. College Algebra MTH 122 special edition for Grand Valley State University by John Coburn Students will be required to possess and make use of a TI-83 or TI-84 graphics calculator during the course. You are expected to have and use your calculator every class period. Students will not be allowed to share calculators on tests. Symbolic manipulating calculators (such as the TI-89) and calculators on cell phones, PDA’s, etc. will not be allowed on tests. Math 122 is part of the Mathematical Sciences General Education Foundation Category. Courses in the Foundations Categories introduce students to the major areas of human thought and endeavor. These courses present the academic disciplines as different ways of looking at the world. They introduce students to the...

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