Mathematics Essays

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

had the knowledge of different languages and later at the age of nine, she had a book that mainly focuses on defending Latin women to acquire higher education. She later had a book known as ‘Propositiones Philosophicae’ consisting of research on philosophy and natural

From being called an Archimedes’ Constant to becoming the modern-day “pi”, π has certainly come a long way. The complex nature of this number or mathematical constant charms everybody even in modern times; it is used in a variety of situations and not just as a relationship defined between a circle’s circumference and its radius.

Company A: Let the cost prior to discount be represented by x. Company A offers a discount of 10%. 10% of x is the discount. It is derived at by product of x and 10/100(0.1).Therefore 0.1x is the discount. The cost subsequent to

If, however, the customer is late on a payment or exceeds the credit limit, the interest rate jumps to the default rate of 24.8%.  You are shopping around for credit cards and are thinking about switching to the Visa Student Card. Your current

After that as we move on that column or row we will put the sign required in that case. Here for the cofactors we will put the minor and a (“+1” or a “-1”) which depends on sign required for each minor. This signs

In any distribution, outliers tend to pull the measures of central tendency with them. Depending on the type of skewness, outliers can either pull up or drag down the mean. Extremely high values pull the mean up while very low values pull the mean down. Outliers result in negatively or positively skewed distributions.

The maximum daily profit is €720. Now, the labour hours for the Fabricating department will be fully utilized, however, 6 labour hours for the Finishing department will remain unutilized. A piece of equipment was bought for €50,000. Two years

People take loans for payment because a majority of the population does not have enough money for one-off payments during purchase. This loan is repaid over a period of years with most of them being five years and above. This assignment refers to a house

Engineers who are trying to design and invent new machines can use Variation equation effectively to make their job a whole lot easier. Car accidents can also be avoided by solving quadratic equation; this is very

If a large number of trials is observed, at least what percentage of these values is expected to lie between μ - 4σ and μ + 4σ? (Round your answer to the nearest whole number.) (b) Suppose a large city uses 190,000 of these Christmas tree lights as part of its

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.

tion of time, then math serves as an aid in charting all the variables involved so we would know which course of action to implement or settle for, at the optimum. Algebraically, we can calculate for ratios and proportions to understand how an increase or decrease in the

On the other hand, variable income statement organizes costs incurred by business by their behavior. Additionally, it indicates the

You may type your work using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose to scan your work, note that most scanners have a setting that will allow you to create one PDF document from all of the pages of

Basically, in a football team with 23 people there is almost a 50 % chance for the football team players to share their birthday. In a football team with 23 people, there is 50 – 50 chance for two people to have a birthday on the same date.

Waring proposed a generalization of this theorem in 1770, stating that every natural number is the sum of a fixed number g(k) of kth power integers, where k is any given positive integer and g(k) depends only on k. Waring's Problem was proven for all k by Hilbert in 1909 (Ellison 1971), with the Hilbert-Waring Theorem.

apples should be kept same. In multiplication it isn’t necessary as a different product is created therefore dissimilar denominator wouldn’t matter. If we square a positive or a negative, the answer will be positive. Likewise, square root can only be determined

2. The equation gives the approximate distance, D, in miles that a person can see to the horizon from a height, h, in feet, assuming there are no obstructions in the way and accounting for atmospheric refraction.

‘x’ and ‘y’ so that h(x) = y = (7 - x) / 3 becomes x = (7 - y) / 3 and upon arranging the equation, this makes 3x = 7 - y. Getting ‘y’ by itself on one side, y = h-1(x) = -3x + 7. I love eating pizzas and a friend of mine once told me

The aim of the investigation was to evaluate the relationship between the birth weight of the babies and their mother’s age. Adamson (2006) defines birth weight as the first weight taken within an hour of a newly born infant before the occurrence of any

The method involved a golf ball connected to a thread to create an oscillating pendulum. Oscillations were initiated, and time measured after ten oscillations then

The author of the paper would use bond futures contracts as they are commonly used by many investors for hedging, directional trading, and arbitrage. As described in the article by TMX group, hedging is composed of a number of operations that seek to minimize or simply eliminate a number of risks resulting from fluctuations of the original bond.

Because, we need to change radical expression into rational (fractional) exponents containing the numerator for power and the denominator for nth root for simplifying the

There are also certain prerequisites that have to be taken into consideration when undertaking mathematical coding, they include The overall structure of the software, the coding language as well as the overall use of the software. The strict application of the coding standards is another factor that I would take into consideration while performing coding of mathematical problems.

11) A standard train ticket in a certain city costs $2.00 per ride. People who use the train also have the option of purchasing a frequent rider pass for $15.75 each month. With the pass, a ticket costs only $1.25 per ride. Use an inequality to determine the

He is equally famous for other innovative inventions that made a positive impact in the world. In this regard, the subsequent sections will delve into an intricate elaboration of his early life, education, contributions to various fields of science and mathematics up to

The only formula that someone really needs to remember to find the area of any of the mentioned figures is: Area = Base times Height The area of a plane figure refers to the number of square units that the figure covers. The area is measured in square units (e.g. cm2, meter2, km2, etc.). For finding the area of a rectangle, first, we will divide this into many smaller parts of a single square unit as shown by a shaded black region.

You wish to wallpaper the two walls. One roll of wallpaper will cover 40 square feet. How many rolls of wallpaper should you purchase?   A 120 ft bridge is divided into three sections for construction. The first section

d that differential equations are essentially equations which depict the ‘rates of change’ occurring between properties or dimensions such as of length, area, volume, mass, and heat, each of which typically alters with respect to time. These rates of change may be

Overprescribing is an error that results from administering a higher dose than the normal to the patients. It may result in adverse effects such as heart attacks or respiratory arrests such as the case highlighted in this report. An infant received ten times the amount of

5. The table below shows Psychology exam scores, Statistics Exam scores, and IQ scores for a random sample of students. What can you observe in the relationship between IQ and psychology, psychology and statistics, and IQ and statistics? Using a

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.

Math trail can be done by an individual or with a group too. Usually involves team work among members. Math trail can also be done by all age groups, both the young and the old. The maths trail will be carried out in a park because, it’s a place for many people

Yes, on my graph this data seems to represent a natural logarithmic function. This is because the graph passes through (1, -9.5904), going off to the right, but also sliding down the positive side of the y-axis. The graph of the log is the

We can also add another circle for air vehicles if we want to. After assigning characteristics to our circles, we then write the name of the things we want to organize in the circle to which it belongs to.

The amount of red paint should be three times the amount of white paint. How much of each kind of paint is needed to make 264 gallons of Rickys Blush? Application: My friend Edwin would like to put up a small store selling two

rted goods within the country, but for that, they have to import raw materials and also arrange the factories and equipments to produce the good, which ultimately proves much costlier than simply importing the prepared good. Besides, different countries are rich in different

Hint: You’ll need to find the total interest for the year first Consider one of your credit cards. What is the balance? How is the minimum monthly payment determined? What would be the minimum

Specifically, it is believed that 5th-grade girls performance is higher in small class sizes and on the other hand, boys do better in larger classes. A pilot program was arranged through the school district whereby some of the classes had to be reduced before the mathematical competency assessment was undertaken.

The Euler’s constant can be derived through several methods and each of these methods depends on the intended use. The first method is based on the infinite series theory. From this method e is the limit of (1 + 1/n)

The samples obtained were statistically fair and the investigation confirmed our hypothesis that taller women weigh more than shorter women. In this statistical investigation, my main aim is to find out if a relationship exist between weight and height of the

ectors of a basis of A, such that for every vector space there exists a basis and all bases of a vector has equal cardinality which is uniquely defined; A is finite dimensional since the dimension of A is finite. a.) A is a triangular identity matrix whose rows have been

For example in Egypt mathematics was used in the survey and measurement, and hence the estimates of the value of pi were founded in Egypt1. However, the early mathematics relied on trial

The fact is that culture is surrounded by a variety of beliefs and human actions that they perform in different situations. Sometimes, those actions earn people benefits even when they are wrong if compared with God’s words. In such situations, those negative actions become common human behaviors, as well as part of the culture.

This quiz is open book and open notes, unlimited time. This means that you may refer to your textbook, notes, and online classroom materials, but you may not consult anyone. You may take as much time as you wish, provided you turn in your

Before the development of integral calculus by Gottfried Wilheim Von Leibnz and Sir Isaac Newton, several other mathematicians had made several developments using the ideas of Archimedes of Syracuse (Elroy 63). Cavalieri was one of the

If the number of observations is even, the median can be obtained by calculating the mean of the two middle values. In other words, the median is the middle value in the list. Worth noting is that it is not always the case that no

It is also used to find the dimensions of a snack box from 40 cm by 40 cm piece of a cardboard that would give maximum possible volume. The findings indicate that the maximum and minimum heights for the Feel the Fear coaster are 36 metres and -14.81 metres.

The Whispering chamber is interesting because it becomes easy to communicate easily with people in the other areas of the chamber without the use of a microphone. This occurs because the sound is concentrated through an elliptical shape to ensure that it moves from point A to B. Hence, the chamber has focal points for sound concentration and transfer.