The sine is the ratio of the opposite leg of the right triangle to its hypotenuse. Let’s imagine that we have the Cartesian coordinate system and a circumference with the same center and radius R. Every angle can be depicted as a rotation operation from the positive x-axis to some interval that joins together the center of the Cartesian coordinate system and some point of the circumference. The length of this interval is equal to the radius and can be depicted as the hypotenuse of the right triangle. The adjacent leg of the triangle belongs to the x-axis, ...
Essays on X-axis
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Questions
Question 1 Linear Programming is a problem-solving tool that applies mathematical models that are linear in planning activities for certain decisions. It is applicable in almost all forms of organization in both for-profit and not-for-profit organizations. It is also applicable to government entities and institutions. It widely applied where limited resources have to be allocated among various activities that need resources simultaneously.
Question 2
The graphical method can only be used in solving linear programming models with only two decision variables. This is because a simple graph has only one dimension. A one dimension graph has only two axes: x and ...
Answer Questions
1)Table 1 shows correlations of clothing retailer positioning questions to the two dimensions of a positioning map. Based on the correlations, name the two dimensions. Show the process and discuss your reasoning. Organizations make use of positioning map to help them identify a perfect position in the market with respect to their products or services. Positioning is a good way to let the organizations understand where they stand in the eyes of customers. Perceptions of customers are very important in defining the positioning of products and services. Positioning maps reveal where and how certain brands are placed in ...
Management Accounting
Step 1: Question 1: The total variable cost for the company comprises of manufacturing costs and sales and administrative cost. Accounting both, the total variable costs for the firm was calculated at $10 per unit
Question 2:
The total production costs for any organization is bifurcated as fixed costs and variable costs. Important to note, while the variable costs and output carry a direct and proportional relationship, fixed cost is not related to output level and remains constant throughout. In other words, while the variable costs increase in proportion to the increase in output level, fixed cost does not change and ...
I and my friend James wanted to find out the absorption capacity of different color pigments mixed in water, when exposed to the infra-red radiation. Our hypothesis was the dark color pigment, on being subjected to infra-red radiation, would absorb more energy and will show up in the form of difference in temperature obtained before and after the exposure. Our experiment was influenced by some of the experiences in daily life. First observation was the preference of the light color clothes in hot day, as the light color reflects the sunlight and absorbs the little, preventing the body from ...
I am really interested in art and aspire to be an artist myself. Therefore, I wanted to benefit from this assignment by the means of exploring the flirtations of art with mathematics. Among all great artists, M.C. Escher is the one who comes to mind when one thinks of mathematics. As I researched deeper into his art, I found out that he is more than just flirting with mathematics but in a marital relationship. So much that he can be referred to as a secret mathematician. Escher’s fascinating work holds inside a great knowledge of Euclidean and Non-Euclidean ...
Writing Assignment
In this project we are given with a graph of continuous function f which is defined on [0, 10]. Also, given that:
We have to answer on the number of questions regarding function g properties based on the information given about function f.
We begin with determination what is g(0)? Since g(x) is:
gx=0xftdt
Hence
g0=00ftdt≡0
It’s zero, because the integral’s limits are equal.
Consider g10: g10=010ftdt The function value at this point is an integral from f(x) among its domain – from 0 to 10. As we know, the geometric interpretation of the integral is the area of under the graph of the function. That’s why if we consider the areas under the graph above ...
Engineering
1.0 Dependence of Relative Permeability on Petrophysical Properties
Carbon dioxide (CO2) entering the atmosphere from sources such as power plants, oil exploratory and production sites and traffic pollution from fossil fuel-burning vehicles. CO2 exists in high concentrations in the atmosphere which increases the impact of the greenhouse gas phenomena which makes the global warming problem worse. The relative permeability of soils is linked to finding a solution for removing large concentrations of CO2 by sequestering CO2 in appropriate geological formations. Data from a study by Bennion and Bachu (2005) is available online at the Relative Permeability Explorer. The Explorer is ...
Visualizing Data
The visualization and presentation of data using illustrations such as tables, charts, and graphs makes research work easy to present and comprehend, as is the case in Dr. Hans Rosling’s presentation that shows the relationship between population and health in various countries as well as the changes in population and health as time in year’s changes. The initial presentation is a bubble chart that displays life expectancy at birth against fertility rate. Each bubble represents a particular country, and the size of the bubble is the population (Rosling, 2006). Next, he uses an area chart to show the distribution ...
Introduction
The essential aspects of software engineering project are the use of several agile software development techniques to improve the quality and the productivity of the software. Scrum is one such significant method that has greatly been used in the recent years to control the process of software development. According to Cohn (2010), we cannot change or improve what we cannot measure. With Scrum metrics, we can be able to measure and improve the software development process more effectively and efficiently. Scrum is defined as an iterative agile method of software development that can be used to manage and ...
The absorbance measured using standard samples were as shown in Table 1 below.
The absorbance measured in determining trypsin rate of activity in the absence of inhibitor was recorded in Table 2 below.
The absorbance measured in the determination of trypsin in the presence of inhibitor was recorded in Table 3 below.
The results of absorbance of the different standard samples were used to plot a graph of absorbance against p-nitroaniline concentration as shown in Figure 1 below. Figure 1: A standard curve on the relationship between absorbance and p-nitroaniline concentration Figure 2: Relationship between absorbance and p-nitroaniline concentration Figure 3: Relationship between rate of reaction and p-nitroaniline concentration in the presence of an inhibitor
Reciprocal of the data used to plot Figure 2 and 3 was calculated and used to plot Figure 4 and 5 respectively.
Figure 4: Lineweaver-Burk plot in the absence of inhibitor
Determination of Vmax and Km was conducted as follows:
y = -302.55x + 514.35 1V = ...
<Student’s name>
Question #1
a) Break-even analysis is important to assess the current state of the enterprise and its dynamics, as well as for the development strategy of the company. For the definition of concepts such as break-even point and financial headroom is necessary, first of all, to define the fixed and variable costs. These concepts are used in the solution of almost all kinds of administrative tasks in the system "costs - production volume - profit."
Fixed costs do not depend on the quantity produced.
Example: The company leases land. For this land has to pay a rent of $ 100. This cost is formed regardless of the ...
IMPLICIT ASSOCIATION TEST FOR RACE
Abstract The Implicit Association Test (IAT) measures human attitudes. Implicit attitudes are considered those judgments or actions of people that are automatic and the person has no idea what causes that judgment or action. The automatic action is a result of influences from societal beliefs. IAT is different from qualitative psychological tests for measuring attitudes because the measurement is of the cognitive processes of memory that cause a person to show a particular attitude automatically. IAT-Race was used to study racial stereotypes in an experiment to determine if the “Obama Effect” was observed. The participants were prompted to go to a web ...
[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 ...
- Construct a relative frequency histogram for the chest circumference data, using classes based on a single value. Looking at the table we first have to get the total frequency by summing the values in that specific column. The table is filled according to the following procedure. You can check out the excel file attached alongside that show numerical workings. Arrange the value in the order presented and then multiply each frequency and chest size per row to get the product of frequency and chess size. When you add the entire column of the results and divide by the ...
Analysis of Culture Cell KU812F with Three Protocols
Abstract Protein analysis for cancer cell research has been found to be extremely reliable. The culture cell KU812F (chronicle myeloid leukemia cell line) was used for this laboratory. Globin gene switching was observed by evaluating the gene expression in the cells. Gene expression and protein folding were provoked. Gene expression is the process of transcribing DNA to cDNA and then used qPCR to study gene expression. cDNA was translated into mRNA which in turn is translated into a protein. mRNA concentration was analyzed. The three protocols were Reverse Transcription Polymerase Chain Reaction (RT-PCR), Enzyme-Linked immune sorbent assay (ELISA), and ...
(Course No.) (City & State) A node contained determined distances from itself to other three nodes s1, s2 and s3. The other nodes are defined as S1 = (ax, ay). S2= (bx, by). S3= (Cx, Cy). The distances from node N to each of the three nodes is r1 and r2. The Trilateration problem is to find the coordinates of the unknown node N= (nx, ny) from the given information.
A complicating factor is that the unknown node coordinates are moving and the measurements contain measurement features.
The intersection of surfaces in a sphere can be found by formulating equations of the three spheres and then solving for the unknowns in the x, y and z planes. ...
Abstract
Public or private transportation is a big issue in trying to cut and maintain low CO2 emissions. This issue has become controversial in some circles so this paper uses math to determine which choice is better for me. Data from the Australian Greenhouse Office, the Australian Bureau of Statistics and the United States Energy Department is used. These government offices have reported transport emissions as compared to the emissions of other public sectors. Also different modes of transportation and their fuel types are reported upon as compared to passenger activity and energy use. According to the calculations the use of ...
Lathes are being used since a long period of time and tooling and designing method, and the purposes for which it has been used most of the times are drilling and boring holes that are usually conical or cylindrical in shape. The manual lathe usage primarily depends upon the machinist and the experience in the designing field. With time there has been a major improvement in the efficiency and quality of part development, which is a result of numerical control into the process of tool designing and the use of lathe. The most advanced and the latest technique in this area is ...
Discounted-Cash-Flow Analysis
Question 1 True, False, or Uncertain. Other things being equal, an increase in the volatility of the underlying asset will increase the value of the call option on that asset. Explain. It is true that when other things are held constant, an increase in the volatility of the underlying asset will result in an increase the value of the call option on the asset. . The price of a call option depends on the volatility of the underlying asset. Volatility of price refers to the tendency of the underlying asset price to fluctuate over time. There is a direct relationship ...
Lack of fresh water for agricultural, domestic, and industrial use is a great hindrance to development in many parts of the world. According to Mwakikagile, water shortages are more prominent in the arid and semi-arid areas. Groundwater is very sensitive to climatic changes and agricultural exploitation. Over the past few years, groundwater extraction for purposes of irrigation has resulted in disruption of natural balance and aquifer overdraft in these regions. According to Rushton, groundwater reproduction is imperative to establish apposite management policies since the hydrology of arid and semi-arid regions is quite different from that of more humid regions. This ...