Equation College Essays Samples For Students

Introduction

One of the frequently asked questions in astronomy is, “are we alone in the universe?” It is hard to believe that we are alone in this universe that is home to billions of stars and innumerable planets and satellites. The astronomical community is divided into two groups in the matter of opinions on this. According to one group of astrophysicists, there are many earth-like objects existing in the universe, and it is only a matter of time before we find out our neighbors. A few astrophysicists, on the other hand, cherish the notion that life on the earth is unique ...

Philosophy

Introduction
Man has always gazed at the stars and attempted to answer the question about the existence of any life anywhere else in the Universe apart from Earth. While for the better part of the first two thousand years After Christ, there was a popular assumption that Man is unique in the Universe, the acceptance of the ‘Copernican Principle’ (Tyson, 2003) in the 1500s, when Nicholas Copernicus put the sun back in its proper place at the center of the solar system, propelled the notion that man may not be unique after all. Given the fact that the three ...

The paper analyzes and discusses different concepts related to Algebra. The paper talks

about Order of Operations, Linear equations and their application, linear inequalities,

Quadratic equations. It talks about and summarizes different methods of tackling and

simplifying such algebraic expressions. Finally the paper dwells into different functions and

their graphic representations.

Algebra and Functions

Order of Operations: Order of operations is a mathematical that determines the

correct order for solving any of math operations. Powers and roots are solved before

multiplication and division, which in turn are solved before addition and subtraction

(Toolingu, n.d.). The rule is used in calculation and simplification of a complex algebraic

expression involving many arithmetic operations. Order of operations ...

Abstract

This dissertation paper is based on the development of the equations used for the design of CFA piles and more specific on granular soils. Tests that may be used in obtaining the required geotechnical parameters used in the designing of the equations are also reviewed. The tests based approaches are to allow contractors and designers to come up the best piles required for a certain project due to the parameters identified. Assumptions and errors resulting in the equation design are also covered. Present. Step-by-step method formulations of equations that are used for designing CFA piles are presented.

Key WordsCFA, drilled displacement piles, CPT, PDT and testing.

Dissertation style research
...

Abstract

Heat transfer through a cylindrical pin fin s studied. For the purposes of this study, thermal conductivity, heat transfer coefficient and the source terms and the sink terms are assumed to depend on the temperature. In the model being used for the study, the source and sink terms are given as arbitrary functions. We therefore employ techniques on symmetry to find the forms of the source and the sink terms which the extra lie point symmetries are admitted. The method of separating variables is used in the study to get the exact solutions when the equation for the equation is ...

Introduction:

A linear equation is an algebraic equation in which the highest power of the unknown variable is a unit. Linear equation is in the form of where a, b and c are constants and x and y are the variables of the equation (PBS. Mathline). A linear equation produces a straight line graph when plotted to scale on a graph paper.

Solving a System of Linear Equations

A system of equations is the case when we have more than one linear equation. (When there are two or more equations). For elementary studies, the number of unknowns in the system is equal to the number of equations in the system. We ...

The accounting equation

The accounting equation is an equation that shows the relationship between a business’ assets, liabilities and stockholder’s equity. The equation is represented below;
Assets =Liabilities + owners Equity
The assets represent the resources owned and controlled by the business for the purpose of getting future benefits. The assets are further classified as fixed assets, current assets and non-current assets. Fixed assets includes land, buildings, fixtures, and fittings. A current asset entails cash, accounts receivables, inventories, and deposits. The company’s assets are commonly acquired through debt or equity financing as shown by the accounting equation; Assets=Liabilities + owners equity
For ...

Question 1

R { 1,2,3,4 }
Z { 5,6,7,8 }
F is a subset of RZ
Where each element X ∈ R
and each element Y ∈ Z
(x, y) ∈ F

F subset { y ∈ Z| ( x, y) ∈ F for some x ∈ R}

R is the domain

Z is the codomain

, (4), ∈ Z

2.65 to 6.65

On the graph point 2.65 is (2.65, 4)

And point 6.65 is (6.65, 4)
x ∈ Z y ∈ R
( x, y ) ∈ F is a subset of RZ
Using = 4 Transforming R along itself

R ( 2.65, 4 )

F( 6.65, 4 )
R + Z defines a function since each element of R occurs only once among the ordered pairs.
Where set:
R is the ...

Abstract:

The principal intention of this study was to come up with the most conducive internal environment in a building. At any given moment, the internal temperature of a building is a function of the amount of heat produced by sources therein and the net heat transfer into or out of the building. The four heat transfer modes are convection, radiation, conduction, and phase- change. In executing this project, the researchers sought the relevant literature to establish the thermal properties of various materials. The properties are critical in determining the amount of heat inflow and exit from the building. The ...

Introduction

Resistivity is a parameter which defines the resistance of a metal to the flow of electric current per unit volume of the metal (Jones, n.d.). The resistivity exhibited by a metal is dependent on three physical properties; the cross-sectional area, length, and the nature of the material (A´ ngel & Tirado-Miranda, 2009). The value of resistivity dictates the conductivity of a metal, high resistivity is associated with low electrical conductivity while low resistivity means that the metal is a good conductor (The Physics Hypertext Book, n.d.). Therefore, it can be concluded that low resistivity allows for increased movements of electrons within the metal while high ...

Fluid Mechanics is a branch of engineering study and it deals with various properties of fluids. In our daily life we use various types of fluids. Most of the fluids are readily available and have some excellent properties. Significance of Fluid mechanics is to know how the fluids and its various properties can be used in our daily life. This part of engineering is integral part of main stream engineering like Civil Engineering, Mechanical Engineering as well as Chemical Engineering as these brunches of engineering often deals with fluid. In this essay various aspects of fluid mechanics and its application ...

Post 1

The equation y = cx2 has been solved by “manual fitting” of the figures. However, this is not the appropriate way, since it is not universal, and it does not suit for all the problems. Instead, x and y values (x = -2, y = 6 and x = 2, y = 6) should be applied to the equation. For example, 6 = 22∙ c; 4 ∙ c = 6, subtracting by 4, c = 1.5. This method is universal and can be used for any other complicated case to find the equation. Then, the focus can be determined.
If the algebraic method to find the parabola equation ...

Trigonometric computations are used in nearly all fields of geometry, physics and engineering. The triangulation technique has the great importance, which allows measuring the distance in astronomy and geography, monitoring the satellite navigation system. Also trigonometry is used in such areas as music theory, acoustics, optics, analysis of financial markets, electronics, probability theory, statistics, biology, medicine and so on. Daniel Bernoulli, Fourier and Cauchy made a huge contribution to the involvement of trigonometry and developed the idea of trigonometric series.
In the middle of the XVIII century, appeared the most important in its consequences "argument of a string". Euler ...

Chapter 10

Question#1: Use Keynesian cross to explain why fiscal policy has a multiplied effect on national income.
Answer: The equation for calculation of national income under Keynesian model is Y=C+I+G+(X-M). In this formula, the Y denotes national income, C denotes level of consumption, I denote level of investment done in the economy, G denotes government’s expenditure, X denotes imports, and M denotes imports of an economy. With the help of this formula, the governments drive fiscal policies for the economy. With the help of this equation, it has been said by Keynes himself that when the ...

Industrial Organization

Industrial organization refers to how the markets and industries are organized. In this case, the workings of such markets and/or industries are studied, particularly the way the firms in such industries compete with each other. Industrial organization is widely considered as a subject of microeconomics. However, it is imperative to consider it as a separate entity since it tends to emphasize on the study of strategies that firms utilize as a characteristic of interactions in the market. Such market interactions include product positioning, competition in pricing, research and innovation, advertisements, among many other factors. Further, it is important to note that industrial ...

1. Add: (4cᶣ - 3cᶟ + 5c² + 15c-7) + (c⁵ + 10cᶟ +4c² -5c + 2) + (-7cᶣ +c² -5c - 5)

Group like terns together

C5-3c4+7c3+10c2+5c-10
2. Find the greatest common factor for the group of terms. -18a², 3aᶟ
3a2
3. Simplify by removing factors of 1. 3r²+3r ÷ 24r²+9r

4. Multiply: (b + g)(b² - bg + g²) Simplify your answer.
b3 – b2g +bg2 + b2g - bg2 +g3
b3 + g3
5. Identify the degree of each term of the polynomial and the degree of the polynomial.
-6xᶟ + 5x² + 5x + 3 give the degree of ...

Abstract

Linear Regression (LR) forecasts the value of a random variable (dependent variable) for a given value of an associated independent variable. The regression equation provides the formula for such a calculation. Simple Exponential Smoothing (SES) forecasts the bases its forecasts on a weighted average of past data, with more weight on the more recent periods. A smoothing factor helps in providing weight. It generally forecasts for the short-term. In the present case, we forecast the sales data for year-2 for ABC Furniture Company using both the methods. For SES, we use two smoothing factors α equal to 0.15 and 0.90 ...

(Author Name)
(Course Name/Number)
A parabola is the representation of a quadratic equation in graph form and it can be seen in its many forms throughout the world. Not only does is dominate the mathematical and the physical world on very subtle levels, but we can also see the expression of quadratic equations in some forms of permanent architecture. For the purpose of accuracy, this explanation will demonstrate how a quadratic equation can be found in a simple action such as tossing a ball in the air.
When you throw a ball into the air, gravity forces the ball ...

Aim

Introduction
Dry sieve analysis also referred to as texture analysis is the process of determining the distribution of particle sizes in a soil sample. The data obtained through this analysis will help in classifying the soil type according to the ANSI, USCS, AASHTO, USDA and other standard systems of classification. The importance of soil classification provides useful information to engineers during construction of buildings and structures. It helps them to determine a particular soil that suits the requirements of the proposed project. In implementing projects such as land cover fills, water filter, roads, foundations, bridges and other projects, one ...

Introduction

The managerial team of a firm has the important task of taking policy decision for the firm in the present and make planning for the future. The managers have be well informed about the market trends. All the information about demand, market structure, strategies taken by the competitors as well as production related information technological innovations, the firm’s own production technique help the managers to decide upon the profit maximizing level of output and price. The policies adopted by the government also affect the firms and the firm has to adjust its operations accordingly. The firm also has ...

Prerequisites

QD = -5200 + 20(600) - 42(500) + 5.2(5500) + 0.20(10000) + 0.25(5000)
QD = -5200 + 12000 – 21000 + 28600 + 2000 + 1250

Computing Elasticity

Price Elasticity
Price elasticity is computed using the formula = (P/Q) (Change in Q/Change in P)

The value of (Change in Q/Change in P) can be determined from the regression equation.

(Change in Q/Change in P) = -42. Using the value of (Change in Q/Change in P), one can determine the price elasticity (Ep).
Price elasticity = (-42) (500/17650)
Price elasticity = (-42) (0.02832)
Price elasticity = -1.189

Cross Price Elasticity

Using the same regression equation, cross price elasticity = 20(600/17650)
Cross price elasticity = 20(0.0341)
Cross Price Elasticity = 0.6833

Advertisement Elasticity

Using the same regression equation, ...

A=Accrued Amount
I=Interest Amount
R=Rate
P=Principal Amount
T=Time Lapse
A=P (1+RT)

In this case; -

A=$50 000
T=18 years
R=3.5%

Therefore; -

50 000= P (1+ (3.5/100)18)
50 000= P (1+ (0.035x18)
50 000= 1.63 P
50 000/1.63=P
30 674.85 = P
The Principal is the amount of money that Jack and Susan are supposed to invest in the interest bearing account so that it can accrue to be the $50 000 needed for her college fee when she is 18 years of age. Therefore, the amount that they should put ...

Industrial Organization

Overview
The media industry is collectively represented by mass media in general, which is comprised of television, newspaper, radio, magazines, and currently the Internet is already regarded as a form of mass media. This industry commands billions of dollars in revenue from advertising and marketing placements. On the other hand, the media industry itself provides growth opportunity for other industries through paid exposures. As a very dynamic industry, media experiences stiff competition, which can be observed on television, as TV networks create interesting shows to capture higher viewer ratings. The same competition also exists in other media platforms such as ...

Introduction

Magnetic resonance imaging (MRI) is referred to as a test that makes use of the magnetic field as well as the radio waves in order to produce the pictures of organs of the body. It also produces the structures of the of the body (Pettersson 1998). It has been found out that MRI normally produces pictures of the organ of the body in a very different manner. However, it differs with some techniques such as X-ray, ultrasound or computed tomography. MRI again can produce some problems which might otherwise not be found using other techniques already mentioned. Image quality of MRI ...

Veteran Health Administration: Action Equation

The project is to become a magnet hospital. The critical goals or essential goals for this project include: delivery of excellent patient result, high level job satisfaction within the workforce, and reduction of staff turnover rate. This same set of goals can also be considered non negotiable as they are the most basic for achieving magnet status in Veteran Health Administration. Developing an action plan is important for the hospital to execute the strategy needed to achieve magnet status.

Delivering and maintaining high level of patient outcome

The nurses need to know what to do and why they are doing it

The nurses and other staff members need ...

1. = +

8t2 = 6t + 27

8t2 -6t – 27=0
b2 – 4ac = 36 + 864=900
t = (-6 ±)/ 16
t = (-6 + 30)/16 or (-6 -30)/16
t= 1.5 or -2.25
2. A = P ( 1 + r/q)nq for interest compounded q times a year.

P = &6000

r = 4%
n = 3 years
a) q = 2(semiannually)

A = P ( 1 + r/q)nq = 6000 (1 + 0.04/2)3(2) = $6756.97

b) q = 4(quarterly)

A = P ( 1 + r/q)nq = 6000 (1 + 0.04/4)3(4) = $6760.95

c) q= 12(monthly)

A = P ( 1 + r/q)nq = 6000 (1 + 0.04/12)3(12) = $6763.63

3.

The ...

[Financial management]
[Topic]
The common accounting equation (also called as based accounting equation or just an accounting equation) is represented by the following formula:

Assets are firm’s resources which it can freely owe and use them. Usually such items are included in this category: cash, account receivable, investments, buildings etc.
Liabilities are defined as firm’s obligations measured in the certain amount of money. For instance, accounts and loans payable, wages/salaries payable, income taxes payable, interest payable, etc.
Owner's equity is determined by the amount of investing capital into the firm by the owners plus accumulated net income ...

Introduction

The purpose of this experiment was to verify Newton’s second law of motion. The force and acceleration data was collected by Logger Pro for a cart moved back and forth. This data was used to analyse the relationship between force, acceleration and mass. It was hypothesised that the acceleration would directly be proportional to applied force but inversely proportional to the mass of the cart.

- When you push on an object, how does the magnitude of the forces affect its motion? If you push harder, is the change in motion smaller or larger? Do you think is a direct ...

Introduction

One of the most important part of protein assay is the determination of protein concentration. There are diverse methods used for protein concentration determination, but the most widely used are the spectroscopic methods of analysis or spectroscopy. Spectroscopy usually involves the determination between the correlations of the degree of interaction of light with the analyte, which is the proteins in this particular experiment. There are different types light to analyte interactions and one of these is the absorbance of light or electromagnetic radiation by the analyte. This type of spectrometry is called absorbance spectrometry.

Principle involved in absorbance spectrometry and spectrometers

The majority of substances absorb ...

PART 1

Question 1
If the price elasticity of demand for firm X’s product is -1.75, lowering its price will result in an increase in total revenue. This is because a negative price elasticity of demand implies an inverse relationship between price and quantity demanded. It indicates that an increase in price leads to a decline in quantity demanded and a decline in price leads to an increase in quantity demanded. In addition, the price elasticity of demand is more than 1 in absolute terms hence a change in price leads to a more than proportionate change in quantity demanded. A 1% decrease in ...

Given Traffic Scenario

Figure 1: The intersections of five one-way streets
1) There are five streets making six intersections. All the streets are one-way, that is, cars can move along only one direction on any street. The number of cars between intersections is the taken to be the traffic flows. For optimal flows, it is assumed that the number of cars entering an intersection in a given time must equal the number of cars leaving that intersection in that time. Also the number of cars entering and leaving any street per unit time is as mentioned in Figure 1. It is important ...

Abstract

Solving the problem of treasure map using Pythagorean Theorem is the main focus. The treasure is buried and finding it by saving the time of digging is the solution to the problem. Ahmed who have half of the treasure map if share with Vanessa then it becomes easy to finding the treasure. The theorem helps in finding the paces from the castle rock by applying the formula. The quadratic equations formed by using Pythagoras theorem and solving those equations we get the value of x.Buried Treasure By Pythagoras Theorem
Ahmed has half of a treasure map, which indicates that ...

1. Compute the largest lyapunov exponent for the map on the 2 dimensional plane x n+1 = where a is a real valued parameter

The limit defined by guarantees the validity of the linear approximation at any time of the operation.

Using the provided equation and matrix: x n+1 = , the highest value of a in the matrix is x n+1

Procedure

i. Starting with the initial condition in the basin of attraction, x n+1
ii. Iteration process until the orbit rests on the attractor
iii. Selecting the nearby point with a separation of d0
d= [(xa - xb) ...

Introduction

In the adsorption-membrane hybrid system for ethanol steam reforming: Thermodynamics analysis by Dang, Amornchai, Yaneeporn, and Suttichai, (2011, International Journal of Hydrogen Energy), the authors seek to explain how an adsorption-membrane hybrid system, which uses a carbon (IV) oxide as an adsorbent can be used to eliminate unwanted carbon (IV) oxide in the hydrogen separation process. The authors aimed at improving the ethanol steam reforming performance through comparison of thermodynamic analysis that comprised of adsorptive, as well as membrane reactor. Then the authors were able to find that membrane separation process for the hydrogen removal had a higher impact ...

CCP Certification Technical Paper (Rev. 2013-07-10, Rev. 2014-06-05)

AACE Membership Number
List of Tables
List of Figures
Figure 1 – Contribution of Construction to GDP Growth 6
Figure 2 – Risk Management Process 12
Figure 3 - Risk Priority Number 15

List of Equations

Equation 1 8
Equation 2 16
Abstract
There is a sharp difference between construction and other types of projects. Then, it is essential to come up with proper risk managements strategies for the underlying types of project, as construction serves as the backbone for the economy of any country or state. A risk management strategy is composed off four different ...

Introduction

The Queuing theory is the study of waiting lines and has many applications in the real world. Since Waiting lines are seen everywhere in day to day life and business, the theory has become an important part of operations research. Examples of waiting lines are queues at a fast food takeaway or cars waiting to be repaired or patients waiting their turn at a clinic. Analytical models of waiting lines can be used for ascertaining and evaluating the cost and effectiveness of the model used in a given situation or setting. The present paper illustrates one of the queuing ...

Introduction

The sign of a successful firm is the constant endeavor that it makes to expand and enhance. To remain profitable and expand its operations a firm has to be well informed about the market conditions. It is important to collect and analyze market information to take strategic decisions. The firm utilizes information on the demand conditions, the activities of the close competitors, government policies, technological and product innovations and such others to frame its policies from time to time. The firm also uses the information to estimate future costs and benefits of the long term changes which helps it ...

Interpreting Market Trends for BMW Dealership in Sydney, Australia

Specializing in the sale of automobiles in Sydney’s BMW dealer has been a top premium brand choice. However, with an ever-changing environment and new trend factors, the General Manager, Helga Schmit would seek to re-think the dealership’s marketing strategies in order to assist it produce batter sales results. Thus, there will be a need for collecting data on various market factors that are specific to the Sidney’s BMW market. In that view, the collection of data will be focused on the capital city of Sydney, Australia. The data factors are summarized as follows:
- Disposable income: Employment ...

Residual Income Model

In general, the residual income model makes no assumptions relating to the future earnings and earnings growth. However, if we assume a constant growth and dividend growth, a residual income model can be derived that efficiently illustrates the fundamental drivers of the residual income. Thus, under such assumptions, a fundamental based equation for justified Price/Book Value which can be derived will be:
Po/Bo= 1+ (ROE- g)/(r-g)
Interestingly, since the justified price is equivalent to stock’s intrinsic value, we can re-arrange the above equation to find the intrinsic value of the stock. For Instance, since Po= Vo, we ...

Introduction

Monetary policy refers to those policy measures targeted at achieving desired economic outcomes through money market operations. Authorities in charge of money market control use different policy instruments to control the money supply in order to achieve suitable market prices as well as stability in the national economy. The key instruments at disposal for those authorities include open market operations, minimum reserve ratio as well as bank rate. However, the policy instruments application does not have a direct impact on market prices and demand but follows a transition mechanism from the authorities’ actions to the desired economic results. In that respect, ...

Importance of Accounting

Analysis and financial decision making reasons
Financial statements produced in accounting helps businesses and make economically informed decisions since lack of accounting will result to poor decisions from business executives. Also accounting is vital since existing and potential investors of a businesses will making rely on accounting information to make investment analysis (Wild, 2007).

Record keeping

A business cannot operate effectively if accounting records are not well kept and executed. Accounting is one of the main drivers of record keeping. Organizational data is collected from different sources, systematized, scrutinized, interpreted and then communicated to the final users.

Fraud scrutiny and prevention

Fraud scrutiny and prevention ...

<Student’s name>
<Professor’s name>

In this paper I will check and comment all the steps you did and asked me to review.
- I want you to check my Bangladish excel.xlsx and if I did download it correctly from the website.. The steps are all provided on MBA 5303 Midterm Assignment (1).docx
Well, I went to that site, did everything like was provided in .docx file and downloaded the file named pwt80.xls. As I may see, it is the same, like yours Bangladish excel.xls. So, I think, you downloaded a correct file.
...

Introduction

In this world of science, the theory of relativity has certainly revolutionized the way people use to interpret the world, they are living in. Hence, the theory, E=mc^2, invented by the world’s famous scientist, Albert Einstein, has an important significance not only in physics but also in other domains of life for everyone. Keeping this notion in mind, ‘Harald Fritzsch’ wrote the book “E=mc^2 - An Equation That Changed the World” to bring into limelight the meaning and importance of this theory to the people of non-scientific background. The author creates a fictitious character named Haller to ...

1. One line is parallel to another if the two have the same slope, thus they don’t intersect (Young, 2010). Therefore, to find a line parallel to a given line, it is firstly necessary to establish that the lines have the same slope. The slope value helps to construct a general equation of the lines parallel to the given one. For y=-2x+4 with the slope equal to -2, all parallel lines have the form y=-2x+b, where b is the y-intercept of the equation (the line intercepts y-axis b units away from the origin). Since the line sought passes through a point represented by ...

Abstract

Using the regression equation and given values of independent variables, we estimated the elasticity of each of them and ascertained that the product is highly elastic to price levels and therefore, the firm can consider to decrease the price levels in order to increase their market share. At the same time, cross elasticity and income elasticity were also significant in relation to the demand of the product, although advertisement expenditure has negligible impact on the product’s demand. Hence, own price, price of related goods and income of consumer are three major factors which the firm should incorporate while ...

Benford's law also known as the first-digit law deals with the distribution of natural numbers in which it tends to major into their importance regarding significance. The law states that given any arrangement of natural numbers, the smallest number always seems to be the most significant while the largest number in the collection is always the least significant. Therefore, number 1 appears to be the most significant in any given combination of natural numbers 30% of the times. While on the other hand, number 9 appears only 5% of the times as the most significant number. The law states ...

A1 Quantitative Article

Article #A1:
Wu, H., Li, Z., Li, H, & Wu, S. (2016). Quantitative phase imaging of breast cancer cell based on SLIM. Journal of Physics: Conference Series, 679(1), 1-5. doi: 10.1088/1742-6596/679/1/012003

Background

In this article, Wu et al. (2016) used quantitative process in analyzing data created from observing the cell dynamics, in which they used spatial light interference microscopy or SLIM to come up with the data. In this process, they combined the Zernike’s phase contrast microscopy, as well as, Gabor’s holography. Zernicke discovered it back in 1935 when he was able to observe phase objects that did ...

Dehydration is the excessive loss of water by an individual which in turn reciprocates in the disruption of the normal bodily functions. This improper functioning of the body is mainly caused by the fact that the human body is in a constant state of losing fluids and it is always required that the lost water be replaced, however if not replaced, then complications may arise. The elderly in the nursing homes tend to be victims of dehydration mainly due various reasons such as being unable to speak out when they need to be given fluids and further inadequate supervision ...

Introduction

The conversion of gas into liquid fuels is an innovative technology that is well-known to many people. This technique is so promising and enhancing new options for environmentally friendly manufacturing of fuels and chemicals as well as other natural gases. Looking into the large natural gas and coal reserves and deteriorating petroleum reserves all over the world, it is anticipated to play an important role in the future. Cobalt-based chemical agents are the ideal catalysts for hydrogen synthesis since they have a high FTS functionality, discernment for long-chain paraffin as well as a low process for the water-gas change ...

Abstract:

A regression analysis is performed to understand the whole lot of data available to it in a better way. Regression analysis is employed in statistics to provide an in-depth knowledge of the data collected and also to make important decisions based on the results obtained in the analysis.
This regression analysis focuses on the relationship between the functions and variables selected while selling a property depending upon the market situations. In addition to identifying the variables employed while selling a property, it also discusses the total number of variables that can be taken into consideration when selling a property. The market situation ...

Problem 1:

=y3 + y2-4y-4
In order to solve this equation, we first take out common factors i.e for (y3 + y2), y2 is a common factor and for (-4y-4), -4 is a common factor
=y2(y+1)-4(y+1)

Combining common factors and arranging the brackets, we get;

=(y2-4)(y+1)

Equating both factors with 0, we get:

(y2-4)(y+1)=0
Y= -1, 2 and -2
Hence, value of Y= -1, 2 and -2

Problem 2:

=t2+ 4z2
Since the equation have two variables i.e t and z, we really cannot have real number answer to this equation. However, we can arrange perfect squares of these numbers
=(t)2+ (2z)2

Hence, this equation will stop over here only without being factored.

Problem 3:
...

1. Introduction to the Technique
Magnification and high resolution imaging are very important in materials science, especially at present when nanotechnology materials are being created. Magnification and high resolution imaging can help in the characterization, identification, and confirmation of the existence of the desired material. Magnification and high resolution imaging become problems when the size of the assessed material becomes too small; such as, they are beyond the micrometer scale. Ordinary techniques in microscopy such as light microscopy where in a traditional light microscope is used could not suffice. Fortunately, in 1931, two scientists named Ernst Ruska and Mx ...

Chapter 10:

Question1.
As government expenditure increases, the income increases. This increase in income leads to a rise in consumption expenditure. A 1 unit rise in income leads to a rise in consumption by the marginal propensity to consume. As consumption expenditure increases, this induces further increase in output in the economy. So income increases. The increase in government expenditure creates a multiplier effect. This multiplier depends on the marginal propensity to consume (MPC). Higher the MPC higher is the multiplier effect.

The money market is at equilibrium when the demand for money equals the supply of money. The demand for money has ...

Given Sequence:

The question is finding the set for the next dates. It is obvious that the dates have an alternating 3 and 4 difference of interval. You can guess if this problem is all about an arithmetic series or a geometric series.

As for an arithmetic series, you need to use this equation:

where a1 is the first number of the sequence,d is the common difference, n is the number of the term to find. But before using this equation, you need to evaluate if the series you have has constant d (difference).
Let us assume that the allowable series to be solved is the in the column and the ...

Solving Real-World Problems Using Algebra.

A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P= -25x2+300x . What number of clerks will maximize the profit, and what is the maximum possible profit?

Solution

The Quadratic equation P= -25x2+300x can be modified to the form y= -25x2+300x, where P= y.
Modifying the equation in this form enables us to plot the function y= -25x2+300x

For various values of x where x is a positive integer.

The general equation of a quadratic is given by y= ax2+bx+c where a, b and c are the ...

Cost-Volume-Profit company assessment

Cost-volume-profit (CVP) analysis is a cost controlling strategy that is used to determine and show how the changes in any company’s costs and volume can affect its operating and net income. CVP depicts how a company’s operating profits is influenced by the changes in variable aspects involving the company. The various aspects can be, costs, selling price per unit, fixed costs, and the sales mix resulting from the sale of 2 or more varying products. Normally while undertaking this particular analysis, there are a few assumptions that are advisable to be considered.

The assumptions made can be;

- All of the incurred costs can be ...

[Your Full Name]

Problem 1
Opportunity Cost
- Define the term “Opportunity Cost”
Opportunity cost is the value of the foregone mutually exclusive alternatives. When choice are to be made between several mutually exclusive alternatives in terms of decision making, opportunity cost is the value of alternative that is forgone due to selection of some other alternatives. Generally, opportunity cost is the value of next best alternative that can be achieved with same input. For example: George had $2 in his pocket which is enough to buy either a cup of tea or a cup of coffee. Among ...

Muhammad ben Musa al-Khwarizmi

Muhammad ben Musa al-Khwarizmi was a Persian astrophysicist, geometrician, and geographer. He was born in Persia at around 780 and died around 850. Though his name signifies that his family was originally from the region around Khwarizmi nearby the Aral Sea, historians trust that al-Khwarizmi was congenital in the town of Baghdad, which the current day Iraq. Though diminutive is identified about his cloistered life, al-Khwarizmi’s effort and participation have principally endured the ages discreetly intact. The exclusion is a volume of mathematics in which the novel cannot be established; there is, though, a Latin rendition of his effort as well ...

Introduction

Probability is considered as a measure of expectation about occurrence of an event. Probability is given a corresponding value from 0 to 1 depending upon the chances of occurrence. If the probability of an event’s occurrence is higher which means close to 1 then there are more chances of the event’s occurrence whereas if the probability of an event’s occurrence is lower which means close to 0 then there are lower chances of the event’s occurrence. The concept of probability is given a mathematical place by a theory known as probability theory. This theory is used greatly in various ...

When people wish to access a museum they are usually offered two options one of them is to pay for a yearly pass while the other is to pay for a daily pass. If a person accepts to pay for a daily pass then he will be required to pay each day before entering the museum. Therefore, the total cost of accessing the museum for a year can be calculated by multiplying the cost per day with the number of days which the museum has been visited. On the other hand, a person can opt to pay for a yearly pass so that he can avoid the ...