Add Math Project 2012 Sabah

7/31/2019 Add Math Project 2012 Sabah

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S.M.K LOHAN,RANAU,SABAH.ADDITIONAL MATHEMATICS

WORK PROJECT

(2012)

NAME: MOHD.IRSYAD BIN HAMILIN

CLASS: 5 AMBER

TEACHER: MADAM HASNIAH SOIMAN


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Acknowledgement

In the name of Allah,the Most Gracious and the Most Merciful.

Alhamdulillah,all praises to Allah for the strenghts and His

blessing in completing this Add Math project.

Special appreciation goes to my beloved parents,Hamilin

Dahlan and Asmah Abdul Kadir for their endless love,prayers

and encouragement.My deepest gratitude to my add math

teacher,Madam Hasniah Soiman,for her supervision and

constant support.Her invaluable help of constructive comments

and suggestions throughout this project.Sincere thanks to all

my friends who doing this project with me especially Jamilah

Sariau,Khadijah Saipin,Asaraf Sahimun,Ramsinah Kasmeen and

Elwani Jainin for their kindness and moral support during doing

this Add Math project.Thanks for the friendship and memories.

Last but not least to those who indirectly contributed in this

research,your kindness means a lot to me. Thank you very

much.


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Objectives

The aims of carrying out this project are:

To apply and adapt a variety of problem-solving strategies to

solve problems.

To improve thinking skills.

To develop mathematical knowledge through problem

solving in a way that increases students interest and

confidence.

To use technology especially the ICT appropriately and

Effectively

To use language of mathematics to express mathematical

ideas precisely

To provide learning environment that stimulates and

enhances effective learning

To develop positive attitude towards mathematics.


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History of Statistic

By the 18th century, the term "statistics" designated the systematic collectionof demographic and economic data by states. In the early 19th century, themeaning of "statistics" broadened, then including the discipline concernedwith the collection, summary, and analysis of data. Today statistics is widelyemployed in government, business, and all the sciences. Electronic computershave expedited statistical computation, and have allowed statisticians todevelop "computer-intensive" methods. The term "mathematical statistics"designates the mathematical theories of probability and statistical inference,which are used in statistical practice. The relation between statistics and

probability theory developed rather late, however. In the 19th century,statistics increasingly used probability theory, whose initial results werefound in the17th and18th centuries, particularly in the analysis of games ofchance(gambling). By 1800,astronomy used probability models and statisticaltheories, particularly the method of least squares, which was invented byLegendre and Gauss Early probability theory and statistics was systematizedand extended by Laplace; following Laplace, probability and statistics havebeen in continual development. In the19th century, social scientists usedstatistical reasoning and probability models to advance the new sciences ofexperimental psychology and sociology; physical scientists used statisticalreasoning and probability models to advance the new sciences ofthermodynamics and statistical mechanics. The development of statistic wasclosely associated with the development of inductive logic and the scientificmethod Statistics is not a field of mathematics but an autonomousmathematical science, like computer science or operations research. Unlikemathematics, statistics had its origins in public administration and maintainsa special concern with demography and economics. Being concerned with thescientific method and inductive logic, statistical theory has close associationwith the philosophy of science; with its emphasis on learning from data and

making best predictions, statistics has great overlap with the decision scienceand microeconomics. With its concerns with data, statistics has overlap withinformation science and computer science.


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Statistic Today

During the 20th century, the creation of precise instruments for agriculturalresearch, public health concerns (epidemiology, biostatistics, etc.), industrialquality control, and economic and social purposes (unemployment rate,econometrics, etc.) necessitated substantial advances in statistical practices.Today the used of statistic has broadened far beyond its origin. Individualsand organizations use statistics to understand data and make informeddecisions throughout the natural and social sciences, medicines, business, andother area. Statistics are generally regarded not as the subfield of

mathematics but rather as a distinct, allied, field. Many universities maintainseparate mathematics and statistic departments. Statistic is also taught indepartment as diverse as psychology , education and public health.


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Part 1(a) Types of Packaged Drinks

BRAND MANUFACTURER

Yeos Chrysanthemum Tea Yeo Hiap Seng (M) Sdn.BhdDrinho Lychee Drink Lam Soon (M) Sd.Bhd

Milo Nestle Nestle Products Sdn.Bhd

Desa Fresh Milk Desa Cattle (Sabah) Sdn. Bhd

Marigold Orange Malaysia Milk Ind (M) Sdn.Bhd

b)

Num Brand Price (RM) Location

1 Yeos Chrysanthemum Tea RM1.30 Hap Seng Supermarket

2 Drinho Lychee Drink RM1.30 Hap Seng Supermarket

3 Milo Nestle RM1.50 Millimewa Superstore

4 Desa Fresh Milk RM4.50 Desa Fresh Mart5 Marigold Orange RM1.20 Gmart Supermarket


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Part 2

(a)

No. Students Name Yeos Marigold Nestle Drinho Desa1 Farrah Shaqienna Wasli

2 Noor Azimah Yalin

3 Nor Afrizah Cheok

4 Fazzon Muani

5 Canisus Justin

6 Khairul Adha Aziz

7 Eddly C. Subil

8 Fadinah Dullah

9 Jennythrise Tujin

10 Saidatul Nadia Parimin

11 Windralela Wakilin

12 Ken Junior Gimik

13 Ignatius Peter

14 Erdy Ryner J

15 Chandry Juani

16 Asmie Mahadi

17 Sazlina Petrus

18 Ruslizan Suhaili

19 Noretika Jusimin


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20 Rosazlinah Labin

21 Nur Syafieqah Moritim

22 Marwanda Yudin

23 Hasmimi Juanis

24 Mikha Yebet

25 Nina Farina Kasdi

26 Khalid Hasanuddin

27 Syafiq Iqmal Yahadin

28 Nur Sobah Sujif

29 Ramzieda Zaila Estrada

30 Azni Bahari

31 Mohd. Iqbal Ikhwan

Haimin

32 Hadwan Hafey Hamidi 33 Izzan Khalidah

Muhamad

34 Eliora Latri

35 Sherly Jewinly

36 Erra Priska Michael

37 Veronicca Jimin

38 Denna Lani

39 Eanny Suin


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40 Elsie Luther

41 Erdy Bactiar

42 Mohd . Aqmal Salleh

43 Amirul Izzad Rosly

44 Nor Amelina Salitson

45 Jad Naeman Washif

46 Jeo Octer Silvester

47 Lionel Tambur

48 Mohd Ikhwan Syafiq

Camillus

49 Siti Nurain Roslan

50 Sofee Diana Bashir

(b) (i)

Tupes of Drinks Tally Frequency

YeosChrysanthemum Tea

IIII I 6

Drinho Lychee Drink IIII IIII 9

Milo Nestle IIII IIII 10

Marigold Orange IIII IIII 9

Desa Fresh Milk IIII IIII IIII I 16


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(ii)

(iii) Through the study of 50 students, Desa is a very popular drink with a total of 16 votesand was rated the highest among other drinks. Meanwhile, Nestle is the preferred beveragewith 10 votes, Marigold and Drinho is the third drink favorite by the students with same 10

votes. Finally, YEO `S has received the least votes and is drinking less favorite by the

students with 6 votes.


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(c) (i)

Type Of Brand Sugar Content

Yeos Chrysanthemum Tea 23gDrinho Lychee Drink 18.5g

Milo Nestle 7g

Marigold Orange 11.0g

Desa Fresh Milk 0g

(ii)

3


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(iii) Effect of long time consumption of packaged drinks on our health.

a) Tooth Decay: All soft drinks are acidic which corrodes the teeth by erodingits enamel. The high amount of sugar consumed through soft drinks lead tothe development of bacteria that attack the teeth thus aggravating dental

problems. People who drink three or more glasses of aerated drinks (gaseousdrinks) daily have much higher chances of dental decay, fillings and teethloss. Therefore, soft drinks contain acid and sugar that corrode and destroythe teeth in one shot.

b) Obesity: Soft drinks are mainly composed of filtered H2O, artificial additivesand refined sugar. Thus, they lack nutritional value and only add up caloriesthrough their refined sugar; therefore, they make you gain weight. But isshifting to "Diet Soft Drink" the solution? The fact is that diet soft drinkscontain aspartame (an artificial low-calorie sweetener). Although aspartamedoes not add up the calories it makes you feel hungrier and crave for food.The Food and Drug Administration (FDA) no longer allows foods containing

aspartame to be labeled as "weight reduction product ". Now it insists tolabel these products simply as "Diet Drink" or "Diet Food ". Research alsoshows that aspartame causes migraines, dizziness and more over it reducesyour memoryIt has been experimentally proved that soft drinks are one ofthe prominent reasons for obesity. The weight gain is directly related to theamount of soft drink that a person takes in. With every single can, peopleunknowingly add many extra calories to their body weight.

c) Diabetes :Another very common effect of soft drinks is diabetes. With everycan of soft drink, people add large amount of sugar in their body. Longhabitual intake of soft drinks can lead to ineffective insulin production frompancreases which consequently affect the sugar level in the body. Thisfurther leads to diabetes.

d) Osteoporosis: It has been proved that frequent consumption of soft drink canlead to weakening of the bones and osteoporosis. Soft drinks impair thecalcification of the growing bones in children.

e)Kidney stones: his fact may shock you, but is quite true. Researches haveproved that constant and habitual intake of soft drink can lead to kidney

stones formation. This happens because of the acidic and mineral radical

balance. The body triesto buffer the acidity caused by the soft drinks with thecalcium from the bones. This leads to calcium erosion, which ultimately gets

settled in the kidney in the form of stones.


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f) Indigesdtion:Soft drink also leads to impaired digestive system. Soft drinkcontains phosphoric acid which competes with the hydrochloric acid present instomach and affects its functioning. The ineffectiveness of stomach leads to

undigested food which further causes indigestion and gassiness.

g) Dry throat :Soft drinks cause dehydration in the body. Both the sugar and caffeinecomponents of soft drinks are dehydrating agents. They both lead to excessurination, which makes you thirstier than before.

h) High blood pressure: Soft drinks have strong caffeine content. Caffeine causesirritability, restlessness, tension, high blood pressure, excessive urination and

other side effects. It is also believed that soft drinks increase blood pressure.

Some studies also claim that soft drink has harmful effects on liver.

The sweetener used in soft drinks is Aspartame. It is 200 times sweeter than normal sugar and is

far more harmful with many side effects.Next time, when head towards the refrigerator or a store

to satiate your thirst with a can of soft drink, make sure you remind yourself of all the sideeffects that gulping down the beverage will bring forth.


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Part 3Width,x (cm) Length, 1.6x

(cm)

Height,h (cm) Total surface

area,A (cm2)

1 1.6 156.250000 815.700000

2 3.2 39.062500 419.050000

3 4.8 17.361111 299.633332

4 6.4 9.765625 254.325000

5 8 6.250000 242.500000

6 9.6 4.340278 250.616674

7 11.2 3.188776 272.8714468 12.8 2.441406 306.362490

9 14.4 1.929012 349.477762

10 16 1.562500 401.250000

(a)(ii)

Length, L (cm) Width, W (cm) Height, H (cm)

Total Surface

Area (or

Amount ofPackaging

Material Used),

A (cm2)

Volume ofCuboid, V (cm

3)

5 6.25 8 242.5 250


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(b)(i) Golden RatioThe golden ratio has fascinated Western intellectuals of diverse interests for at

least 2,400 years. According to Mario Livio:

Some of the greatest mathematical minds of all ages, from Pythagoras and

Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of

Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific

figures such as Oxford physicist Roger Penrose, have spent endless hours over this

simple ratio and its properties. But the fascination with the Golden Ratio is not

confined just to mathematicians. Biologists, artists, musicians, historians,

architects, psychologists, and even mystics have pondered and debated the basis of

its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has

inspired thinkers of all disciplines like no other number in the history of

mathematics.Ancient Greek mathematicians first studied what we now call the golden

ratio because of its frequent appearance in geometry. The division of a line into"extreme and mean ratio" (the golden section) is important in the geometry of

regular pentagrams and pentagons. The Greeksusually attributed discovery of this concept to Pythagoras or his followers. The

regular pentagram, which has a regular pentagon inscribed within it, was the

Pythagoreans' symbol.Euclid's Elements (Greek: ) provides the first known written definition ofwhat is now called the golden ratio: "A straight line is said to have been cut in

extreme and mean ratio when, as the whole line is to the greater segment, so is the

greater to the less." Euclid explains a construction for cutting (sectioning) a line "inextreme and mean ratio", i.e. the golden ratio. Throughout the Elements, several

propositions (theorems in modern terminology) and their proofs employ the golden

ratio. Some of these propositions show that the golden ratio is an irrational number.The name "extreme and mean ratio" was the principal term used from the

3rd century BC until about the 18th century.The modern history of the golden ratio starts with Luca Pacioli's De divina

proportione of 1509, which captured the imagination [citation needed] of artists,

architects, scientists, and mystics with the properties, mathematical and otherwise,

of the golden ratio.

Michael Maestlin, first to publish a decimal approximation of the goldenratio, in 1597.The first known approximation of the (inverse) golden ratio by a decimal fraction,

stated as "about 0.6180340," was written in 1597 by Michael Maestlin of the

University of Tbingen in a letter to his former student Johannes Kepler.Since the twentieth century, the golden ratio has been represented by the

Greek letter or (phi, after Phidias, a sculptor who is said to have employed it)


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or less commonly by (tau, the first letter of the ancient Greek root meaning cut).


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(b)(ii)

Width, W Length, L Height, H Total surface area, A

4.0 6.400 9.7656 254.3250

4.1 6.560 9.2506 251.9627

4.2 6.720 8.8577 249.9004

4.3 6.880 8.4505 248.1215

4.4 7.040 8.0708 246.6111

4.5 7.200 7.7160 245.3556

4.6 7.360 7.3842 244.3424

4.7 7.520 7.0733 243.5603

4.8 7.680 6.7817 242.99884.9 7.840 6.5077 242.6483

5.0 8.000 6.2500 242.5000

5.1 8.160 6.0073 242.5457

5.2 8.320 5.7785 242.7780

5.3 8.480 5.5625 243.1898

5.4 8.640 5.3584 243.7749

5.5 8.800 5.1653 244.5272

5.6 8.960 4.9825 245.4413

5.7 9.120 4.8092 246.5119

5.8 9.280 4.6448 247.7342

5.9 9.440 4.4887 249.1039

Width (cm) Lenght (cm) Height (cm) Total Surface

Area (cm2)

4.90 7.84 6.51 242.6483

4.91 7.86 6.48 242.6245

4.92 7.87 6.45 242.60284.93 7.89 6.43 242.5830

4.94 7.90 6.40 242.5652

4.95 7.92 6.38 242.5494

4.96 7.94 6.35 242.5356

4.97 7.95 6.33 242.5238

4.98 7.97 6.30 242.5139


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4.99 7.98 6.28 242.5060

5.00 8.00 6.25 242.5000

5.01 8.02 6.23 242.4960

5.02 8.03 6.20 242.4939

5.03 8.05 6.18 242.49375.04 8.06 6.15 242.4954

5.05 8.08 6.13 242.4991

5.06 8.10 6.10 242.5046

5.07 8.11 6.08 242.5121

5.08 8.13 6.05 242.5214

5.09 8.14 6.03 242.5326

5.10 8.16 6.01 242.5457

(b)(iii)

Width, x

(cm)Length, 1.6x (cm) Height, h (cm)

Total Surface

Area , A (cm2)

Volume of

Cuboid, V (cm3)

5.03 8.05 6.18 242.4937 250.2375

Calculation using differentiation, V = 250 cm31.6xh=250h=250/1.6xA=2[1.6x + 1.6xh+xh]

=2[1.6x + 2.6xh]


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=2[1.6x + 2.6x (250/1.6x)]=3.2x + 812.5/x

Dy/dx= 6.4x812.5x0 = 6.4x812.5/x0 = 6.4x - 812.5

x = 812.5/6.4x = 5.03 cm ( from tabulation table above, x = 5 cm; ok)1.6x = 8.0 cm

H=250/1.6(5.)= 6.25 cm.: Length = 8.0cm; Width = 5.0cm; and Height = 6.25cm


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(c)

h = 6.25 cm (from tabulation table, b (iii))1/3 x 6.25x = 250

X = 10.954 cm

6.25+(10.954/2) = 8.3102Total surface area = (10.954 x 8.3102) x 4+ 10.954 = 301.99cm

Note : Total surface area for pyramid > totalsurface area for cuboid packaged drinks;

more material are needed : not good

h = 6.25 cm (from tabulation table, b (iii))

1/3 r x 6.25= 250

r=6.18 cm

6.25 + (6.18/2) = 6.972

Total surface area = rl + r

= (6.18)(6.972) + (6.18) =

255.3466cm
http://3.bp.blogspot.com/-9lCt9QRT0UY/T93Ns3OCCYI/AAAAAAAAANE/MPMsnftCAWY/s1600/kk.jpghttp://3.bp.blogspot.com/-9lCt9QRT0UY/T93Ns3OCCYI/AAAAAAAAANE/MPMsnftCAWY/s1600/kk.jpg


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h = 6.25 cm (from tabulation table, b (iii))r x 6.25 = 250r = 3.568

Total surface area=2(3.568) + 2(3.568)(6.25) = 220.1cm
https://encrypted-tbn1.google.com/images?q=tbn:ANd9GcR4ZM6As1ihaJpPv889yQRZpvfvW-UvEZyZBtwiSc3vSpz5EVgzqpbX2mdY


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FURTHER EXPLORATION(a)

Shape s of packaging Pro(s) Con(s)

Pyramid -the stability of the drink

packaging will be more stable

because the base area larger

-the shape of the drinkpackaging become more

unique because its rarelyfound in the market.

-the cost of packaging

material will be higher

because more total surface

area required.

Cone -the stability of the drink

packaging will be more stablebecause the base area larger-the shape of the drink

packaging become more

unique because its rarelyfound in the market.


material will be higherbecause more total surfacearea required.

Cyclinder -the drink packaging has

clean line construction and

easy to clean, disinfect and

has smooth lines.- the shape of packaging is

usually found in the market.


material is lower because it

has small total surface.


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Futher Exploration

Material usually used to packaged drink.

Usually drinks are packaged using materials like plastic, aluminum, and glass in

different shapes and form. It usually come packaged in bottle ( plastic or glass )

and can ( aluminum ) .

Plastic

Composition of Plastic

Most organic polymers are plastics. The vast majority of these polymers are based on

chains of carbon atoms alone or with oxygen, sulfur, or nitrogen as well. The backboneis that part of the chain on the main "path" linking a large number of repeat units

together. To customize the properties of a plastic, different molecular groups "hang"

from the backbone (usually they are "hung" as part of the monomers before linking

monomers together to form the polymer chain). The structure of these "side chains"

influence the properties of the polymer. This fine tuning of the properties of the polymer

by repeating unit's molecular structure has allowed plastics to become an indispensable

part of the twenty-first century world

Additives of plastic

. Most plastics contain other organic or inorganic compounds blended in. The amount of

additives ranges from zero percentage for polymers used to wrap foods to more than

50% for certain electronic applications. The average content of additives is 20% by

weight of the polymer. Fillers improve performance and/or reduce production

costs. Stabilizing additivesinclude fire retardants to lower the flammability of the

material. Many plastics contain fillers, relatively inert and inexpensive materials that

make the product cheaper by weight. Typically fillers are mineral in origin, e.g., chalk.

Some fillers are more chemically active and are called reinforcing agents. Since many

organic polymers are too rigid for particular applications, they are blended

with plasticizers, oily compounds that confer improved rheology. Colorants are of coursecommon additives, although their weight contribution is small. Many of the controversies

associated with plastics are associated with the additives.

Recycling of Plastic

Plastic can be recycled. There are about 50 types of plastic used in the industry. Theplastics industry has developed a coding system to help consumers identify different
http://en.wikipedia.org/wiki/Carbonhttp://en.wikipedia.org/wiki/Oxygenhttp://en.wikipedia.org/wiki/Sulfurhttp://en.wikipedia.org/wiki/Nitrogenhttp://en.wikipedia.org/wiki/Inorganic_compoundhttp://en.wikipedia.org/wiki/Stabilizer_(chemistry)http://en.wikipedia.org/wiki/Stabilizer_(chemistry)http://en.wikipedia.org/wiki/Fire_retardanthttp://en.wikipedia.org/wiki/Filler_(materials)http://en.wikipedia.org/wiki/Chalkhttp://en.wikipedia.org/wiki/Plasticizerhttp://en.wikipedia.org/wiki/Rheologyhttp://en.wikipedia.org/wiki/Rheologyhttp://en.wikipedia.org/wiki/Plasticizerhttp://en.wikipedia.org/wiki/Chalkhttp://en.wikipedia.org/wiki/Filler_(materials)http://en.wikipedia.org/wiki/Fire_retardanthttp://en.wikipedia.org/wiki/Stabilizer_(chemistry)http://en.wikipedia.org/wiki/Inorganic_compoundhttp://en.wikipedia.org/wiki/Nitrogenhttp://en.wikipedia.org/wiki/Sulfurhttp://en.wikipedia.org/wiki/Oxygenhttp://en.wikipedia.org/wiki/Carbon


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types of plastic resins used in packaging. The codes can be found on the bottom ofmost plastic containers. Plastic Bottles:The material used to make plastic soda bottles(polythylene terephthalate or PET) is recyclable. These bottles are coded with thenumber 1 and the letters PETE. About 30 percent of all PET bottles sold are recycledinto a variety of products.

Glass

Composition of Glass

Most glass is a mixture of silica obtained from beds of fine sand or from pulverized

sandstone; an alkali to lower the melting point, usually a form of soda or, for finer glass,

potash; lime as a stabilizer; and cullet (waste glass) to assist in melting the mixture. The

properties of glass are varied by adding other substances, commonly in the form of

oxides, e.g., lead, for brilliance and weight; boron, for thermal and electrical resistance;

barium, to increase the refractive index, as in optical glass; cerium, to absorb infrared

rays; metallic oxides, to impart color; and manganese, for decolorizing. The termcrystal glass, derived from rock crystal, was at first applied to clear, highly refractive

glass; it has come to denote in the trade a high-grade, colorless glass and is sometimes

applied to any fine hand-blown glass.

Additivities of Glass

Glass also contains additives. Additives are used in glass coloring and color marking.

Glass coloring and color marking may be obtained by addition of coloring ions,

precipitation of nanometer sized colloides (so-called striking glassessuch as "ruby

gold" or red "selenium ruby" by colored inclusions (as in milk glass and smoked glass),by light scattering (as in phase separated glass), by dichroic coatings (seedichroic

glass), or by colored coatings. The additives used in glass will not affect the user.

Recycling of Glass

Glass is endlessly recyclable, and most glass bottles and jars produced contain at least 25%

recycled glass which also requires 75% less energy to produce than glass made from new

materials. In recycling glass . the glass is sorted by colour and washed to remove impurities The

glass is then crushed and melted, then moulded into new products such as bottles and jars. Or

it may be used for alternative purposes such as brick manufacture or decorative uses.The glassis then sent back to the shops ready to be used again.
http://en.wikipedia.org/wiki/Glasshttp://en.wikipedia.org/wiki/Colorhttp://en.wikipedia.org/wiki/Milk_glasshttp://en.wikipedia.org/wiki/Smoked_glasshttp://en.wikipedia.org/wiki/Scatteringhttp://en.wikipedia.org/wiki/Phase_separated_glasshttp://en.wikipedia.org/wiki/Dichroichttp://en.wikipedia.org/wiki/Dichroic_glasshttp://en.wikipedia.org/wiki/Dichroic_glasshttp://en.wikipedia.org/wiki/Dichroic_glasshttp://en.wikipedia.org/wiki/Dichroic_glasshttp://en.wikipedia.org/wiki/Dichroichttp://en.wikipedia.org/wiki/Phase_separated_glasshttp://en.wikipedia.org/wiki/Scatteringhttp://en.wikipedia.org/wiki/Smoked_glasshttp://en.wikipedia.org/wiki/Milk_glasshttp://en.wikipedia.org/wiki/Colorhttp://en.wikipedia.org/wiki/Glass


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Aluminum

Composition of aluminum can

Aluminum is a silvery white member of the boron group of chemical elements. It has the

symbol Al, and its atomic number is 13. It is not soluble in water under normalcircumstances. Aluminum metal is so chemically reactive that native specimens are rare

and limited to extreme reducing environments. Instead, it is found combined in over

270 different minerals.[4]The chief ore of aluminum is bauxite. It is remarkable for the

metal's low density and for its ability to resist corrosion due to the phenomenon

of passivation.

Additives of aluminum can

There are no additives in aluminum can .

Recycling of aluminum can

Aluminum is a sustainable metal and can be recycled over and over again. A can is

generally turned into a new can and back on store shelves within 60 days. Cans are

usually available through curbside pickup or community drop-off locations nationwide.
http://en.wikipedia.org/wiki/Boron_grouphttp://en.wikipedia.org/wiki/Chemical_elementhttp://en.wikipedia.org/wiki/Atomic_numberhttp://en.wikipedia.org/wiki/Redoxhttp://en.wikipedia.org/wiki/Mineralhttp://en.wikipedia.org/wiki/Aluminium#cite_note-3http://en.wikipedia.org/wiki/Aluminium#cite_note-3http://en.wikipedia.org/wiki/Aluminium#cite_note-3http://en.wikipedia.org/wiki/Orehttp://en.wikipedia.org/wiki/Bauxitehttp://en.wikipedia.org/wiki/Densityhttp://en.wikipedia.org/wiki/Corrosionhttp://en.wikipedia.org/wiki/Passivationhttp://en.wikipedia.org/wiki/Passivationhttp://en.wikipedia.org/wiki/Corrosionhttp://en.wikipedia.org/wiki/Densityhttp://en.wikipedia.org/wiki/Bauxitehttp://en.wikipedia.org/wiki/Orehttp://en.wikipedia.org/wiki/Aluminium#cite_note-3http://en.wikipedia.org/wiki/Mineralhttp://en.wikipedia.org/wiki/Redoxhttp://en.wikipedia.org/wiki/Atomic_numberhttp://en.wikipedia.org/wiki/Chemical_elementhttp://en.wikipedia.org/wiki/Boron_group


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Eco-friendly Material for pakaging drinks

The term eco-friendly is used to describe activities which are good for the environment. It is a

shortening of ecologically friendly, and you may also hear terms like environmentally

friendly or green used to describe similar activities. There are a range of ways in which

activities can be eco-friendly, ranging from products which are constructed in an

environmentally friendly way to making lifestyle changes which are designed to benefit the

environment. The most eco-friendly material for packaging drinks is glass.

Glass is more environmentally friendly because it doesn't use fossil fuels to produce, however

as far as recycling is concerned it is difficult to say. Conclusive life-cycle studies are yet to be

fully analyzed. However glass can be more easily returned to its natural state of composite

sand. Whereas plastic takes on average 2000 years to biodegrade.Meanwhile, aluminum can

also be recycle. But it cannot be reuse again like glass. It has to undergo several process in the

treatment plant to be able to be used again. This require more energy .

On the other hand, glass is more enviromentally friendly because glass could be used over and

over again. It is long lasting and Glass is 100% recyclable and can be recycled endlessly with no

loss in quality or purity. Glass recycling is a closed loop system, creating no additional waste or

by-products. Glass is a mono-material, meaning it is not made up of several different materials.


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.

Plastic bottle use in packaging drinks.

Glass bottle used in packaging drinks.


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Aluminum can used in packaging drinks.


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Conclusion

After doing research, answering questions, drawing graphs and some

problem solving, I saw that the usage of statistics is important in daily life. It

is not just widely used in markets but also in interpreting the condition of the

surrounding like the air or the water. Especially in conducting an air-pollution

survey. In conclusion, statistics is a daily life necessities. Without it, surveys

cant be conducted, the stock market cant be interpret and many more.

Statistics are a major staple of our world today. They are used in practically

any situation and help improve our overall lifestyle. Statistics change the way

we think about tomorrow and the way we live today and without them. So,

we should be thankful of the people who contribute in the idea of statistics.


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Reflection

Reflection buat sendiri,adakah reflection pun mau tiru. Senang2 bah mau

reflection ko letak jak apa2 gambar ka,poem ka. Yg penting ada,5 markah trus.Jgnlupa bagi kredit sama orng yg buat ni kerja.

Documents

Add Math Project 2012 Sabah