Notes, summaries, assignments, exams, and problems for Mathematics

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Understanding Functions and Matrices in Mathematics

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1. f : A → R means that the codomain of f is A and its domain is R.

FALSE: Domain is A; codomain is R

2. Points of form (x, f(x)), x ∈ A, belong to the graph of function f : B → A, where A ̸= B are non-empty subsets of R.

3. A function f defined on R is called strictly increasing if f(x1) > f(x2) holds, whenever x1> x2.

FALSE: A function, is strictly increasing if f(x0) < f(x1) whenever x0 < x1.

4. The derivative fʹ(a) of f at a is the slope of the tangent line to the graph of f at (a,f(a)).

TRUE: y = f (x) at a point x = c on the curve if the line passes through the point (c, f (c)) on the curve and has slope f '(c) where f ' is the derivative of f.

5. If fʹ(a) ≥ 0, then f is strictly increasing in a neighbourhood of a.

FALSE:

... Continue reading "Understanding Functions and Matrices in Mathematics" »

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Global Packaging Aesthetics and Product Innovation

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Packaging Aesthetics and Local Preferences

Packaging aesthetics are particularly important to the Japanese. Packaging is an important consideration for products that are Japanese prefer plain soft colors on their packages. People have local tastes based on their perceptions and attitudes about a products.

Product Innovation and Branding

Prior to 2004, Nokia launched different cell phone product-communication adaptation. Procter & Gamble recently introduced Pampers Rash Guard, a continuous innovation. Product problems initially policymakers in many parts of the world supported Suzlon. Regulators in different countries have proposed various the use of terms "light" and "natural" are allowed on labels only in the United States. Scotland is a... Continue reading "Global Packaging Aesthetics and Product Innovation" »

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Key Concepts and Definitions in Statistics

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Key Concepts and Definitions in Statistics

Statistics - The science of collecting, organizing, analyzing, and interpreting data for the purpose of making more effective decisions.

Levels of Measurement - Nominal, ordinal, interval, and ratio levels of measurement.

Discrete Variables - Variables that can assume only certain values, and there are “gaps” between the values.

Inferential or Inductive Statistics - This facet of statistics deals with estimating a population parameter based on a sample statistic.

Statistic - A characteristic of a sample.

Parameter - A characteristic of a population.

Frequency Distribution - A grouping of data into classes showing the number of observations in each of the mutually exclusive and collectively exhaustive... Continue reading "Key Concepts and Definitions in Statistics" »

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Análisis de un anuncio publicitario

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Next, I will analyze the advertisement.
To begin with, I want to reflect that it is a commercial company selling an experience, product, or service. We can see this since the image shows the logo of the brand.
I also want to point out that on this occasion, the target audience is male, female, or both. The age of the people to whom the advertisement is directed ranges from 15 to 55 and over, as the public that consumes the most is a young, middle-aged, adult, or older public. The social class to which it is directed can be high, low, or middle class.
In this case, the advertised company is [Company Name].
What is advertised in this case is an image, product, idea, or service.
In this case, we observe how the message that is given is that the product
... Continue reading "Análisis de un anuncio publicitario" »
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Common English Mistakes and Corrections

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Grammar and Vocabulary

  1. I have lost my pen. Can I borrow yours?
  2. As soon as I have more information, I will call you.
  3. Did you know she was pregnant?
  4. We have had this can since last summer.
  5. When I lived in Hungary, I had to take a bus to go to work.
  6. Would you mind answering my questions?
  7. 80% of our electronic components are produced in the Far East.
  8. The manager and his staff usually meet once a week.
  9. What are you responsible for?
  10. When did you arrive at the hostel?
  11. The way of managing companies in this country is very different from ours.
  12. Has she answered your email yet?
  13. You will have to work hard if you really want to pass the exam.
  14. He never drinks any alcohol when he goes to parties.
  15. Have you got something to declare?
  16. The plane was four hours late.
  17. Driving too
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Math Terminology: Definitions and Examples

Classified in Mathematics

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Relatively Prime

When the greatest common factor of two numbers is 1

Rational Number

Any number that can be expressed as a ratio of two integers

Reciprocal

One of two numbers whose product is 1, also called multiplicative inverse

Relation

A set of ordered pairs

X Coordinate

The first number in an ordered pair; it tells the distance to move right or left from the origin (0,0)

Y Coordinate

The second number in an ordered pair; it tells the distance to move up or down from the origin (0,0)

X Axis

The horizontal axis on a coordinate plane

Y Axis

The vertical axis on a coordinate plane

Coordinate Plane

A plane formed by the intersection of a horizontal line (the x-axis) and a vertical line (the y-axis)

Vertical Line Test

A method for seeing if a graph represents a... Continue reading "Math Terminology: Definitions and Examples" »

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Understanding Analytics and Statistics: Key Concepts and Definitions

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Analytics and Statistics: Key Concepts

Analytics: the scientific process of transforming data into insight for making better decisions. Population: the set of all elements of interest in a particular study. Sample: a subset of the population. Data: the facts and figures collected, analyzed, and summarized for presentation and interpretation. Cross-sectional data: data collected at the same or approximately the same point in time. Statistics: the art and science of collecting, analyzing, presenting and interpreting data. Variable: a characteristic of interest for the elements. Data set: all the data collected in a particular study. Elements: the entities on which data are collected.

Data Summary

1. Cumulative Frequency Distribution: a tabular summary... Continue reading "Understanding Analytics and Statistics: Key Concepts and Definitions" »

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"entirely belongs to" shareholding

Classified in Mathematics

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HELLO EVERYONE I AM ADNRÉ I WILL BE TALKING ABOUT SIMONE BILES. 

FISRT OF ALL SIMONE ARIANNE BILES IS A PROFESSIONAL GYMNASTIC.

THE DAY SHE BORN WAS 14 OF MARCH OF 1997 CURRENTLY SHE HAS 22 YEARS OLD, THE PLACE THAT SHE BORN WERE IN THE UNITED STATES OF AMERICA EXACTLY IN OHIO. 

HER HEIGHT IS A 1,42 M AND HER WEIGHT IS A 48 KG.

SHE BELONGS TO A CLUB CALLED WORLD CHAMPIONS CENTER. THIS IS A SMALL PART OF THE CENTER

HIS COACH IS CALLED LAURENT LANDI. BEFORE SIMONE BILES ALSO TRAINED TOAlyssa Baumann, Madison Kocian.

SIMONE HAD A VERY COMPLICATED CHILDHOOD, HER FATHER ABANDONED HER WHEN SHE WAS ONLY 3 YEARS OLD THE SOCIAL SERVICES SEPARATED HER AND HIS BROTHERS FROM HER MOTHER, SHANON BILES FOR HES PROBLEMS WITH DRUGS AND ALCOHOL.

SHE MOVED TO TEXAS

... Continue reading ""entirely belongs to" shareholding" »
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Contradiction Between Reading and Lecture on ________

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Contradiction

The reading and the lecture are both about ______. Whereas the author of the reading states that _______, the lecturer suggests that ________. The lecturer casts doubt on the main points made in the reading by providing two/three reasons.

First of all, according to the reading, _____________ .However, the lecturer disputes this point. He/She says that _________. Furthermore, he/she mentions that __________

Secondly, the reading states that _______. Nevertheless, the lecturer refutes this argument. He/She argues that __________. In addition, he/she points out ________.

Finally, the reading claims that _________. On the other hand, the lecturer believe that _____. He/She thinks that _______. Moreover, he/she feels that ________

In conclusion,... Continue reading "Contradiction Between Reading and Lecture on ________" »

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Process vs. Job Order Costing: A Comprehensive Guide

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Process vs. Job Order Costing

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Hybrid Costing Systems

A costing system that combines features of both process and job order operations is called a hybrid costing system.

Process Costing

True or False: Process costing systems use separate Work in Process Inventory accounts for each process.

True

Materials Requisition

True or False: A materials requisition is a document that production managers use to request materials for production and shows the job number, the types of materials, and the quantities needed.

True

Calculating Predetermined Overhead Rate

The Work in Process Inventory account of a manufacturing company has a $4,809 debit balance. The company applies overhead using direct labor cost. The cost sheet of the only job still in process shows a... Continue reading "Process vs. Job Order Costing: A Comprehensive Guide" »

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