YEAR 8 MATHEMATICS
TRIMESTER 2
UNIT: VOLUME
CRITERIA C & D WILL BE ASSESSED. SEE TASK SPECIFIC RUBRICS ATTACHED. Use A4 paper for your answers. Your work should not exceed 4 pages. Make your explanations logical, concise and complete and comment on the accuracy of your answers.
Afya Ltd is a company that manufactures medicinal drugs and food supplements in pill form. As part of its new strategy, the Chief Executive Officer has decided to redesign its packaging. The plan is to package as many pills as possible into a box which takes the shape shown below.
One day, the CEO asks to meet the Chief Marketing Officer (CMO)  the person who came up with the new packaging. When asked to explain how he got the highest number of pills that could fit into the box, the CMO’s reply was, “..to get the maximum number of the pills that could fit into the new box, I simply divided the volume of the box by the volume of one pill.” Before he could finish the sentence, the Chief Designer who was also present in the meeting raised his hand and yelled, “No! I disagree with that method.” At this point, the CEO decides to end the meeting. He however calls you 20 minutes later to ask for your opinion as the Chief Scientist in the firm. In the telephone conversation he asks you to write a report that refutes or justifies the method suggested by the Chief Marketing Officer . “I would like you to include all your calculations in your report so I may understand how you arrived at your final conclusion”, he adds.
Your task:
a) Write down the report showing how you arrive at the maximum number of pills that can fit into the packaging. b) Was the Chief Marketing Officer’s method correct? Why?
c) In your work remember to show calculations that support your answer, and explain each step of your working. You may wish to display your data in tables and/or charts. Remember to justify your answer and include neat diagrams.
...HOLY ANGEL UNIVERSITY
Graduate School
TopData Global IT Solutions
Proponent:
Gonzales, Ronniel D.
Master’s in Business Management
April 2014
TopData is a Philippine based provider of managed outsourced solutions catering to the online B2B and B2C community. The company started as one of the pioneering icafés in Angeles City in 1998 helping business people and students on research, transcription and encoding. Currently, it provides both domestic and offshore outsourcing services. TopData serves Australian, European and US clients in front and back office operations such as accounting, data entry, customer service, database and website content management, and transcription.
Employee 1:
As an editor I feel good working with the company because the entire task that is given to me is aligned with my skills, but sometimes I feel disappointed when some clients are so demanding and unclear in giving instructions.
Employee 2:
For almost eight months of working in the company, so far it is good because we are treated fairly by our human resource personnel and I received the right compensation for me. But I'm planning to look for another work after my one year stay in the company because I think my job is not fitted with my skills.
Employee 3:
As a CSR (Customer Service Representative) and working in the company for two years, I can say that working In the company is so fun because my coworkers are so easily to...
...weight, the angle between the horizontal and the incline is called angle of repose 𝜽, as shown in Figure 3. In the previous experiment, if we are measuring along the yaxis, the formula will be
ΣFy=0, f=Wcosθand if we are measuring along the xaxis, the formula will be
ΣFx=0, f=Wsinθ.
The coefficient of friction is equal to the tangent of the angle of repose.
µ=fN=WsinθWcosθ, µ=tanθ(Equation 3)
In this experiment, we should be able to determine the coefficient of friction (µ) between contact surfaces as one body moves with uniform motion and establish the relationship between the angle of repose (𝜽) and µ. The rules of this experiment are to keep clean the surfaces of the wooden block and plane by wiping them with a piece of scratch paper or tissue to remove dust and other particles and to make sure not to touch the surfaces that you will use in this experiment to avoid contamination. The materials for this experiment as shown in Figure 4 are string, meter stick, pan, wooden block, platform balance, 5753105545455Figure 4. Materials
00Figure 4. Materials
2750185165036500575310165036500inclined plane with pulley and weights.
The first part of the experiment is “Determination of the Coefficient of Friction” as shown in Figure 5. The first procedure is to position the wooden plane horizontally then measure the weights of the block and pan using the platform balance. Next is to tie one end of the string to the block’s hook and the other end to the pan...
...Stylish involves concept of a valid contract, precontractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a twosided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties....
...polynomial increases, the graphs are moving away from y=cos (x).
5a.
When y = sin (1), y = 0.841. Using the Taylor series with two terms, y = 0.830.
When y = sin (5), y = 0.958. Using the Taylor series with two terms, y =  15.8.
When y = cos (1), y = 0.540. Using the Taylor series with two terms, y= 0.500.
When y = cos (5), y = 0.284. Using the Taylor series with two terms, y =  11.5.
By using the formula, Percentage Error =
Percentage Error for Taylor series with two terms =
= 1377.18 % ≈ 1380 % (3sf)
5b.
When y = sin (1), y = 0.841. Using the Taylor series with three terms, y = 0.842.
When y = sin (5), y = 0.958. Using the Taylor series with three terms, y = 10.2.
When y = cos (1), y = 0.540. Using the Taylor series with three terms, y = 0.542.
When y = cos (5), y = 0.284. Using the Taylor series with three terms, y = 14.5.
Percentage Error for Taylor series with two terms=
= 1492.80% ≈ 1490% (3sf)
5c.
When y= sin (1), y = 0.841. Using the Taylor series with four terms, y= 0.841.
When y = sin (5), y = 0.958. Using the Taylor series with four terms, y= 5.29.
When y = cos (1), y = 0.540. Using the Taylor series with four terms, y = 0.540.
When y = cos (5), y = 0.284. Using the Taylor series with four terms, y =...
...2) 12 font – New Times Roman
Welcome to TermPaper Day!!!
You have 2 days to write a TermPaper for your Business Math Class, it must contain a cover page, 4 pages of content and a source page. The source page must have at least 3 web sites you visited to help you complete your report. You may include pictures and graphics on the cover page only, not on the content pages. If you plagiarize you will be subject to school discipline and suspension. So do your own work and don’t throw away what can be a helpful grade for you this quarter.
Below is the list of the topics that you have to choose from, you may go in any direction with your paper, as long as it is related to the topic. THERE IS NO EXTENTIONS TO THE DUE DATE. IT IS EITHER HANDED IN OR A ZERO.
Each paper should be formatted as followed:
Topic 1 Topic 2
Topic 3 Topic 4
 


Internet Job Sites Employee Rights EMarketing
Topic 5 Topic 6
Topic 7 

Web Advertising Video Game Design Franchise Ownership
TermPaper Topics:

The Game Console Wars
An essay is generally a short piece of writing written from an author's personal point of view, but the definition is vague, overlapping with those of an article and a short story.
Essays can consist of a number of elements, including: literary criticism, political manifestos, learned arguments, observations of daily life,...
...Secondary School First Term Examination, 2009 – 2010 Mathematics 1 Form 3 Full marks: 100 Answer ALL questions. Unless otherwise specified, all working must be clearly shown. The diagrams in this paper are not necessarily drawn to scale. Unless otherwise specified, numerical answers should either be exact or correct to 3 significant figures. 1.
2.
Time allowed: 1.5 hours
Simplify
2 8 + 24 .
x 2 − 5x − 6 , x 3 − 27 .
(
)
(4 marks)
Factorize (a)
(b)
(4 marks) (4 marks)
3.
Write FB116 in the expanded form and convert it to a decimal number.
4.
&& Express 0.8964 in the form
a where a and b are positive integers. b
(4 marks)
5.
Peter deposits $P in a bank at a rate of 2% p.a. compounded monthly. 2 years is $208964, find, correct to the nearest integer, the value of P.
If the expected amount after (4 marks)
6.
(a) (b)
Expand ( x + 5)( x − 3) . Solve the inequality ( x + 5)( x − 3) ≤ x 2 − 2 x + 5 and represent the solution graphically. (6 marks)
7.
Rationalize
6 3+ 2
and express the answers with the simplest surd form.
(5 marks)
8. 9.
Solve 27 2 x −1 = 9 x . In a class, there are 20 boys and n girls. are 71, 62 and 67 respectively. (a) (b) Find the value of n. After mark adjustment, each of the mark of x students is increased by 1. If the new mean mark is 67.25, find the value of x.
(5 marks) In a test, the mean mark of boys, girls and the whole class
(7 marks)...
...better learning and advanced skills that a student may have, and making this easier to learn with a highquality teaching system.
The system in the school is an Averaging System. They compute the records of grades per quarter and compute again to the final. They record the percentage of each student. 20% in Quizzes, 20% in Recitations, 10% Attendance, 10% in Behavior, 5% the writing, projects, and extra curriculars, and 25% on Examination for a total of 100%. The records of grades must be keeping and each total is for four quarters/grading term, added and divided to get the total percentage of student grade for the entire school year. At the end of school year, sum up of the Academic (70%) and the Extra Curricular (30%).
Averaging System 
20%  Quizzes 
20%  Recitations 
10%  Attendance 
10%  Behavior 
5%  Writing 
5%  Projects 
5%  Extra Curricular 
25%  Examination 
The above table is per quarter/term, the total average by the end of school year was divided by 70% for Academic Skills and 30% Extra Curricular.
The fees on the enrollment and tuition fees are delivered neatly in the system. The two important items for fees are Tuition Fee and for Registration Fee. Other school fees/miscellaneous are: Medical/Dental Fee, Library Fee, Athletic Fee, Laboratory Fee (T.L.E. Lab, Science Lab, Computer Lab), and Publications. Program of expenditures: Deliberation on fees to management.
Program of...