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The graph of the compound inequalities with or represents the union of the two inequalities. A number satisfying this inequality must satisfy at least one of the inequalities. The problem at hand involves two compound inequalities. One with and,
The term golden selection was first used by Martin Ohm in the 1835 2nd edition of his textbook Die Reine Elementar-mathematic (Livio 200, p.6). The first known use of this term in English is found in James Sulley’s 1875 article on aesthetics in Encyclopedia Britannica 9th edition. The golden ratio is denoted by ф (“phi”).
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Riemann integration is defined as the first demanding explanation of a function integral in an integral. This integration is evaluated using numerical integration or calculus fundamental theorem. The main idea behind the Riemann integral is the usage of simple approximations, to help in the calculation of an area represented in a curve (Anton, Bivens, & Davis, 2002).
ares as a financial liability without adjustments of the time value of money, to show the preference share as a financial liability using amortized cost, and to show the preference shares as a financial liability at fair value through profit and loss. Lastly, a description of an
Second, the amount of extra principal payments in option A was zero all the way from the start to the end whereas in the schedule of option B, a figure of $1,000 appeared at
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The results of quantitative analysis are expected to show the relationship between the BMI and the heights of the runners. At the end of the analysis and presentation, the linear regression results will show whether there is positive correlation,
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There are two basic aspects of calculus that make it easier to apply in real life situation. This include the differential calculus and the integral calculus. This study
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Various aspects of mathematics used in business enterprises include algebra, probability as well as calculus that have been widely used in the contemporary society.
The concept of calculus is a dimension of mathematics that is basically used to
Schedule production occurs based on these orders. At the start of the day, the list of cookies to be made and delivered is given to the person in charge of mixing. That person checks a list, where the ingredients of each type of cookie are available, he then lists the amount of each cookie to be produced in a computer.
The numbers are found in the Fibonacci series and their ratio is found to be 1.619. The above examples are not exhaustive and the list is quite long to prove that the human body follows the golden ratio rule. As a teacher, I would like to use Fibonacci numbers to produce beautiful art pieces (The Golden Ratio Project).
It is quite essential to state that geometry and population growth are two issues in different fields that are somewhat related. The relationship between these two topics is mainly where one relies on the other to get its value; this means that population growth uses geometry to measure its parameters.
Line Z is given as y= -1/2 x+1 and the perpendicular line to the line Z passes through coordinates (4, 2). The Gradient of line Z is -1/2 and y- intercept is 1. The product of gradients of perpendicular lines is -1. Therefore, (-1/2) × (G2) = -1. G2
The second element of the theorem defines two functions which are both real-valued functions of the unknown value, x. This part does not assume the existence of derivative function on a closed interval. The second
In this report, I present my budget to purchase a new car. I want to get a loan from one of the banks in our country and purchase a new Honda CR-V. This car is to assist me in ensuring punctuality in my many responsibilities. It will help me save a lot of time during movements from one location to another.
If we know the center, (h, k) and radius, r of the circle then we can find the circle equation by using the distance formula, as {(x – h)^2 + (y – k)^2}^(1/2) = r. Squaring both side, we get (x – h)^2 + (y – k)^2 = r^2,
The sequence of is positive and monotonically rising because for all values of and so the series has a limit by Monotone Convergence Theorem. This shows that the sequence converges.
Supposing diverges. Because are negative terms, the only way that
The first element of the process of teaching mathematics involves the enhancement of teaching and learning, which could require the suspension of long-held beliefs and changing mindsets on what makes up a good math teacher for children (Burghes, 2012). The article argues that schools should take risks and experiment with new techniques that seek to re-engage their pupils when teaching math.
It shows the frequency with which students had a certain number of social interactions. The number of social interactions is placed in ten groups. The first
When plotting for a regression line in the scatter plot, one needs to be careful on how to deal with the outlier values which may not feature anywhere around the regression line (Vonesh 75). The creation of a mathematical
Pending litigations about an entity are for example not reflected in financial statements and therefore do not affect financial ratios. Such cases are however fundamental to an entity’s sustainability and are therefore important to stakeholders such as investors, debtors, and suppliers whose interest lies in an entity’s ability to exist in the future.
The cash was obtained from an owner investment by Peter Houston of $70,000 and a $30,000 notes payable. Shortly thereafter, the company acquired selected assets of a bankrupt competitor. The
Other physical measures such as angular velocity and force can also be modeled mathematically as vectors (Ryan 5).
The first concept to learn is algebra of vectors which enables us to explain the relationship involving vector quantities in physics as well
As a quality control manager at the Masterfoods plant, I wrote this report containing all five parts of the M&M project. The first part of the paper discusses the sampling method I used in the research. I bought three M&M bags and recorded the samples in an Excel worksheet. The second part is the calculation of sample proportions for each bin: mean of candies, creating the Histogram, computing descriptive statistics, and later summarizing the information.
Currently, the study has advanced to include other branches of mathematics such as number theory, algebra, and topology. Riemannian geometry for example is among the latest braches of geometry. Each of the above fields of specialization
The three main sources of error experienced in mathematical modeling are formulation, numerical, and data errors (Meyer 127). Whereas the formulation error consists of non-inclusion of some specific physics and inaccurate constitutive
This improper fraction can be further simplified by finding the quotient of the equation, which is a number with a decimal point, 16.5 (Szecsei, 2006)
Simplifying the square root of 100 will be equal to finding the
4. (a) Linear programming is a technique used to compute the maximum or minimum value of a function. This is the value that satisfies a precise set of conditions known as constraints. Constraints refer to the inequalities in a linear
He is best remembered for his contributions to the number theory in mathematics, and his responsibility as a clearing center for communication between reputed scientists and philosophers (Bernstein, 1996).
Rene Descartes and Pierre de Fermat might
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The author states that without mathematics, engineers, programmers, architects and other technology oriented professionals will not be able to formulate the basic algorithm in creating technology nor will they be able to build any structure that will facilitate technology and it follows that a given country will not have anything to engage in trade.
In this case, and and OR are used to indicate the infimum (meet) and supremum (join) used for the two elements. Complements in the above element are uniquely defined if the exist.
The algebraic and the order theory perspective can be used
6.) If a, b are distinct vertices in a connected undirected graph G, the distance from a to b is defined to be the length of a shortest path from a to b (when a = b the distance is defined to be0). For the graph in Fig. 11.9, find the distances from d to (each
hand, when the customer promises to pay at a future data, the company records a debit to accounts receivable and a credit to revenues or sales (Dyson, 2010).
Under the matching concept of accounting, the costs and expenses are matched to the sales generated by the costs and
The basic concept of mathematics is as old as humans themselves. Since the start of this world mathematical calculation ns are being used for different purposes. For instance, somewhere in 300 BC, Chinese used to do calculations using tortoise and rods. They did
ent, therefore from them we positive gradients while A and C have negative gradients, therefore from them we locate the one with the properties: y = y-intercept =-4; m = gradient = -2.
The x-intercept is the point at which the line cuts the x-axis, that is the point where x=0,
To proceed, we note how many digits can be placed in the units place considering the digit in the tens place. Here we are restricted to the digits 1,2,3,4,5 and 6 since the digit 7,8,9 will compromise the whole restriction of
Atmospheric scientists in Brazil have been studying the effects of man-caused fire events during the dry seasons throughout the Amazon River Basin. The delicate nature of the rainforest ecosystem in the Amazon has caused both environmentalists and government officials in Brazil to take a serious look into the effects of deforestation across the entire region and how it may be affecting long-term global weather patterns.
In this assignment, the daily profit recorded in the chain store would be determined by the number of clerks employed. The maximum profit would be determined from the profit function, P(x) = -25x2 + 300x, where:
The
The concept factoring indicates multiplication of two binomial expressions (“Factoring quadratics”). Step-by-step solution is shown below.
In this equation b2 – 4ac is called discriminant. It is determined using three coefficients of the equation. The
Each week the company has available a maximum of 100 hours for cutting, 100 hours for construction, and 65 hours for finishing. If all available time must be used, how many of each type of desk should be produced each week?
In practical, the main consideration is profit
Varoius propositions to mitigate against weight gain include diet control and exercise. In this analysis, we evaluate the impact of various form of exercise on weight loss- assesed in terms of calories burnt (The NHS Information Centre, Lifestyles Statistics.,
the firm stated that it is specifically interested in presenting a more “green” and sustainable image to the customer while being mindful of the environmental impact that product packaging has once utilized and discarded. The firm further noted that although redesigning the
immigration often affect the employment of the native residents but mainly being determined by the role the host country’s residents role they play in the labor
physical structure having irregular or fragmented shape at all measurements levels between the largest as well as the smallest measurement, which include certain mathematical or physical structure, the perimeter that relate to a curve being greater than the spatial dimensions.
On either side of the peak is a tail, and the values are fewer. For normally distributed data, the tails are almost uniform in length.
By joining the same high school class study group, the indication
Because Andy’s answer was yes, the implication is that two or all of us have cards whose sum value is the same. Andy can only see my cards, Belle’s and Carol’s. I can see that Belle’s card sum value is 14 and Carol's sum value is 18 (the sum of cards of Andy is irrelevant here). Belle’s and Carol’s sums are not the same.
Generally, management accounting through controlling and planning operations aids the process of decision making. In this paper I will discuss managerial accounting.
Managerial accounting is a