The teacher's hypothesis is horribly inaccurate. First of all, Scenario A is the only linear function in the group consisting of A,B, and C. Scenario B is a function, but not linear. Scenario C is not a function. Scenario A has all the criteria of a linear function. For every independent variable (aka “x” value or input) in the domain, there is one and only one dependent variable (aka output or “y” value) in the range. It can be written in the form “y=mx+b” where “m” and “b” are real numbers, “x” is an independent variable, and “y” is a dependent variable. It can be shown as a table with a unique value of “y” for every value of “x”. It graphs as a line. Therefore, Scenario A is linear and a function. Scenario B is a function because there is one and only one value of “y” (aka dependent variable or output) for every value of “x” (aka independent variable or input). It can be written as a table with corresponding domain and range values. It cannot be written in linear form “y=mx+b” because “x²” is not a real number, but a variable in the equation “y=10x-x²”. It does not graph as a diagonal line, but as a parabola. Hence, it is only a function. In Scenario C, “x=y²” is not a function and not linear. It is not a function because for some of the “x” values (aka inputs or independent variables) there is more than one “y” value (aka output or dependent variable.) It is not linear because it cannot be written in the form “ y=mx+b” and does not graph as a line. Thus, it is neither linear nor a function. With my facts supporting me, I have come to the conclusion that just because a scenario has “x” and “y” values, it does not necessarily mean it's a linear function.
...
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...
...to operate not just in defence of the continent but also ‘in
167
History as Policy
operations elsewhere’. The Review of Australia’s Defence Capabilities (or Dibb
Review) and the 1987 Defence of Australia took the same view. For example,
Defence of Australia said:
A requirement has also been identified for Australia’s defence policy to
take account both of developments in the South-West Pacific and
South-East Asia—our region of primary strategic interest—and to be
capable of reacting positively to calls for military support further afield
from our allies and friends, should we judge that our interests require
it.10
This language was not just for show. In private, the government of the day
was very focused on a number of scenarios in which Australian forces might be
deployed on expeditionary operations—such as the then much-feared
contingency of a clash on the Indonesia–PNG border. It vigorously maintained
Australia’s forward commitments in Asia through the Five Power Defence
Arrangements11 and in other ways, and when crises arose (for example in Fiji
and in the Persian Gulf in 1987), it was quick to deploy forces.
So expeditionary deployments were in no sense precluded by the ‘defence
of Australia’ policies of the 1980s. Nonetheless, they did place much less emphasis
than previous policies on operations to defend Australian interests beyond the
continent, and it is worth asking why. The explanation has several elements.
First, these...
...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...
...2014/9/16
Linear Equations
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Linear Equations
A linear equation is an equation for a straight line
These are all linear equations:
y = 2x+1
5x = 6+3y
y/2 = 3 x
Let us look more closely at one example:
Example: y = 2x+1 is a linear equation:
The graph of y = 2x+1 is a straight line
When x increases, y increases twice as fast, hence 2x
When x is 0, y is already 1. Hence +1 is also needed
So: y = 2x + 1
Here are some example values:
http://www.mathsisfun.com/algebra/linear-equations.html
x
y = 2x + 1
1
y = 2 × (1) + 1 = 1
0
y = 2 × 0 + 1 = 1
1
y = 2 × 1 + 1 = 3
1/6
2014/9/16
Linear Equations
2
y = 2 × 2 + 1 = 5
Check for yourself that those points are part of the line above!
Different Forms
There are many ways of writing linear equations, but they usually have constants (like "2" or
"c") and must have simple variables (like "x" or "y").
Examples: These are linear equations:
y = 3x 6
y 2 = 3(x + 1)
y + 2x 2 = 0
5x = 6
y/2 = 3
But the variables (like "x" or "y") in Linear Equations do NOT have:
Exponents (like the 2 in x2)
Square roots, cube roots, etc
Examples: These are NOT linear equations:
y2 2 = 0
3√x y = 6
x3/2 = 16
Slope-Intercept Form
The most common form is the slopeintercept equation of a straight line :...
...Associate Level Material
Appendix D
Read each scenario and write a 25- to 50-word answer for each question following the scenarios. Use at least one reference per scenario and format your sources consistent with APA guidelines.
Scenario A
Acute renal failure: Ms. Jones, a 68-year-old female, underwent open-heart surgery to replace several blocked vessels in her heart. On her first day postoperatively, it was noted that she had very little urine output.
1. What is happening to Ms. Jones’s kidneys, and why is it causing the observed symptom?
Ms Jones has had a decrease of blood getting to her kidneys due to several blocked vessels in her heart, which can lead to kidney failure.
2. What other symptoms and signs might occur?
Signs or symptoms can be decreased urine output, swelling in legs or ankles due to fluid retention. Also confusion and fatigue can be symptoms, along with severe cases with seizures.
3. What is causing Ms. Jones’s kidney disease?
The condition of her heart and the vessels caused blood and fluid restriction, the slow blood flow to the kidneys cause direct damage to the kidneys.
4. What are possible treatment options, and what is the prognosis?
Treatment usually means hospital stay, because there needs to be a balance in the amount of fluids in the blood and medications to control blood potassium. Dialysis will need to...
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