Yeshiva University Acceptance Rate, SAT/ACT Scores, GPA

Yeshiva University is a private research university with an acceptance rate of 60%. The university has four undergraduate campuses across New York City: the Wilf Campus, the Beren Campus, the Brookdale Center, and the Resnick Campus. The college has a dual curriculum which includes both a secular and spiritual focus. Students study contemporary academic fields along with the ancient teachings of the Torah. Yeshiva has arrangements with many institutions in Israel to facilitate study abroad. In athletics, the Yeshiva Maccabees compete in NCAA Division III athletics. Considering applying to Yeshiva University? Here are the admissions statistics you should know, including average SAT/ACT scores and GPAs of admitted students. Acceptance Rate During the 2017-18 admissions cycle, Yeshiva University had an acceptance rate of 60%. This means that for every 100 students who applied, 60 students were admitted, making Yeshivas admissions process competitive. Admissions Statistics (2017-18) Number of Applicants 1,508 Percent Admitted 60% Percent Admitted Who Enrolled (Yield) 59% SAT Scores and Requirements Yeshiva University requires that all applicants submit either SAT or ACT scores. During the 2017-18 admissions cycle, 45% of admitted students submitted SAT scores. SAT Range (Admitted Students) Section 25th Percentile 75th Percentile ERW 580 700 Math 560 700 ERW=Evidence-Based Reading and Writing This admissions data tells us that most of Yeshivas admitted students fall within the top 35% nationally on the SAT. For the evidence-based reading and writing section, 50% of students admitted to Yeshiva scored between 580 and 700, while 25% scored below 580 and 25% scored above 700. On the math section, 50% of admitted students scored between 560 and 700, while 25% scored below 560 and 25% scored above 700. Applicants with a composite SAT score of 1400 or higher will have particularly competitive chances at Yeshiva University. Requirements Yeshiva University does not require the SAT writing section or SAT Subject tests. Note that Yeshiva does not provide information about the universitys superscore policy. However, the school suggests that most successful applicants have a minimum SAT composite score of 1180, with higher score requirements for some programs. ACT Scores and Requirements Yeshiva requires that all applicants submit either SAT or ACT scores. During the 2017-18 admissions cycle, 52% of admitted students submitted ACT scores. ACT Range (Admitted Students) Section 25th Percentile 75th Percentile English 23 33 Math 22 29 Composite 22 30 This admissions data tells us that most of Yeshivas admitted students fall within the top 36% nationally on the ACT. The middle 50% of students admitted to Yeshiva University received a composite ACT score between 22 and 30, while 25% scored above 30 and 25% scored below 22. Requirements Yeshiva University does not require the ACT writing section. Note that Yeshiva does not provide information about the universitys superscore policy. However, the school suggests that most successful applicants have a minimum ACT composite score of 24, with higher score requirements for some programs. GPA In 2018, the average high school GPA of Yeshiva Universitys incoming class was 3.44, and over 56% of incoming students had average GPAs of 3.5 and above. These results suggest that most successful applicants to Yeshiva University have primarily A and B grades. Self-Reported GPA/SAT/ACT Graph Yeshiva University Applicants Self-Reported GPA/SAT/ACT Graph. Data courtesy of Cappex. The admissions data in the graph is self-reported by applicants to Yeshiva University. GPAs are unweighted. Find out how you compare to accepted students, see the real-time graph, and calculate your chances of getting in  with a free Cappex account. Admissions Chances Yeshiva University, which accepts just over half of applicants, has a competitive admissions pool. The majority of admitted students have above average grades and standardized test scores. However, Yeshiva also has a  holistic admissions  process and admissions decisions are based on much more than numbers. A strong  application essay  can strengthen your application, as can participation in meaningful  extracurricular activities  and a  rigorous course schedule. Yeshiva also requires that all applicants participate in an interview. The college is looking for students who will contribute to the campus community in meaningful ways, not just students who show promise in the classroom. Students with particularly compelling stories or achievements can still receive serious consideration even if their grades and scores are outside of Yeshivas average range. In the graph above, the green and blue dots represent students who were accepted to Yeshiva. Most had SAT scores (ERWM) of 1200 or higher, ACT composite scores of 24 or higher, and high school GPAs of a B or better. If You Like Yeshiva University, You May Also Like These Schools: Brandeis UniversityCornell UniversitySyracuse UniversityTufts UniversityUniversity of RochesterEmory UniversityStony Brook UniversityJohns Hopkins UniversityBrown UniversityBoston UniversityUniversity of Chicago All admissions data has been sourced from the National Center for Education Statistics and Yeshiva University Undergraduate Admissions Office.

Benjamin Martin, A French And Indian War - 921 Words

Benjamin Martin is a French and Indian War veteran who now lives in his farm in South Carolina in 1777 with his 7 children. He receives an invitation to attend a Congress in Charleston where he refuses to cast a vote in favor of South Carolina joining the war. The Congress however votes to join the war against the British and his oldest son, Gabriel enlists in the Continental Army. Two years into the war, the farm s fields become a battlefield and Benjamin decides to treat the wounded, British and Continental Army soldiers, including his son Gabriel. When Colonel Tavington and his troupes arrive, he captures Gabriel in order to hang him for treason. His younger brother Thomas tries to intervene and is killed by Colonel Tavington who then set the property on fire and leaves with Gabriel. Benjamin devastated arms himself and his other two sons and successfully ambush the British soldiers to free Gabriel. He then becomes a mythical figure named â€Å" the Ghost† and the Continental Army put him in charge of a Militia. While Benjamin and his militia are in charge of preventing the British to go further North until the French troops arrive, his family are safe in Charleston with his late wife s sister, aside from Gabriel who fight in the militia along his father. As the militia led by â€Å"the Ghost† keeps ambushing British soldiers, Colonel Tavington is assigned but General Cornwallis the mission to stop them by all means necessary. He finds the location of the children in CharlestonShow MoreRelatedAshamed Of His Brutality During The French Indian War By Benjamin Martin1591 Words   |  7 PagesAshamed of his brutality during the French Indian War, Benjamin Martin (Mel Gibson) a widower stays on his homestead with his seven children in South Carolina vowing to live a peaceful life. As one of the most crucial wars in the American History gets closer and closer to South Carolina, the state must decide whether to join or flee. Benjamin, who wants nothing to do with the war, argues against jo ining the fight with the most powerful country in the world, Britain. When it is decided that SouthRead MoreThe Patriot Movie Essay1215 Words   |  5 PagesCarolina in 1776 during the Revolutionary War. It is a story about a widowed father of seven, named Benjamin Martin. Benjamin was involved in the French and Indian War before marrying and starting a family. He is reluctant to join the conflict as he remembers too well his own experience in the earlier French and Indian War. After his wife passed away he does everything to keep his family together and away from war. He is a patriot who wants no part in a war with Britain. Meanwhile, his two eldestRead MoreThe Patriot ( 2000 )1501 Words   |  7 PagesThe Patriot (2000) follows Benjamin Martin (Francis Marion) a widower with 7 children and veteran of the French and Indian war. He is reluctant to join the fight against the British until Colonel William Tavington (Lt. Colonel Banastre Tarleton) kills Benjamin’s son and burns down his house in South Carolina. Benjamin Martin leads his militia and attacks against the British with guerilla warfare until the climax battle, where he takes revenge for his son and kills Colonel William. What is wrongRead MoreMovie Review : The Patriot1220 Words   |  5 Pagescomedy or chick flick when it comes to movies. However, my husband is the exact opposite and loves a good history or war movie. It was his idea for me to watch The Patriot that was released in 2000 for my paper. After watching the movie, I was very impressed. I can honestly say that I thoroughly enjoyed it and learned a whole lot. This movie taught me so much about the Revolutionary War that I never knew or understood. It also opened my eyes to some of the things that happened during slavery. SlaveryRead MoreEssay about Historical Accuracy of the Patriot950 Words   |  4 Pagesthe story of a South Carolina plantation owner, Benjamin Martin, who leads a local militia against British troops in the South during the beginning of the American Revolutionary War. Martin, who is a widower with six children and a veteran of the French and Indian War, wants nothing to do with the war until a brutal British Colonel, William Tavington, kills one of his sons and takes his eldest son, a member of the Continental Army, prisoner. Martin, who’s character is loosely based on Francis MarionRead MoreThe Patriot Movie Review Essay1231 Words   |  5 PagesPatriot Production Date- June 28th 2000 Major Characters- Benjamin Martin: Mel Gibson Gabriel Martin: Heath Ledger Charlotte Selton: Joely Richardson Johnny Issacs: William Tavington Lisa Brenner: Anne Howard Charles Cornwallis: Tom Wilkinson II. Movie Summary: The Patriot takes place during the Revolutionary War. Its 1776 and intense fighting is going on in the northRead MoreEssay on Benjamin Franklin: American Diplomat1045 Words   |  5 Pagesto honor these groups of intellectuals that built this country and refused to rule it. Benjamin Franklin, a famous and respected diplomat in the seventeen hundreds, was one of the most influential founders of this country. As a member of the Benjamin Franklin Birthday Association, I strongly declare a national holiday to honor Franklin because he made numerous achievements for this nation. Since birth, Benjamin Franklin was, without a doubt, a significant citizen who promoted education before theRead MoreEssay on The Patriot945 Words   |  4 Pagestogether, despite the Revolutionary War that had begun. Trying to keep his demons from reappearing, Benjamin Martin faces his fear of his past coming back to haunt him after serving in the French and Indian War. Martin is a South Carolina farmer who lost his wife, Elizabeth, and reluctantly signs up to join the Continental Army after his eldest son, Gabriel joined the regulars to fight against the British. After a battle began on Martin’s plantation, Benjamin helped wounded soldiers from both sidesRead More The Patriot Essay599 Words   |  3 PagesInstitute (Revolutionary War experts). Also too some amazement, the movie has very accurate weather details. One of the main things that isn’t accurate but was put in the movie to show significance, was the old flag that was ripped but Gabriel sowed it back toget her and at the end of the movie Benjamin Martin leads the militia with it. nbsp;nbsp;nbsp;nbsp;nbsp; The Theme is about freedom, but it is a different freedom then you are thinking of. It’s the freedom for Benjamin Martin trying to live hisRead More report on the movie the patriot Essay656 Words   |  3 PagesPatriot† is an excellent movie. It may very well be one of the most exciting and moving war-drama movies of all time. There are very few films today that even come close to touching upon the American Revolution, which is why â€Å"The Patriot† is of such importance. Nonetheless, during the film the actual American Revolution takes a back seat and allows the center of the story to revolve around Benjamin Martin (played by Mel Gibson) and his South Carolina family. Some examples of this would be

How Far the Press Should Be Free to Report Free Essays

Discuss how far the press should be free to report what they want There are obvious reasons for restrictions on the freedom of the press. Many of these are to do with the fact that clearly there are many stories which are damaging to individuals and will have a negative effect on the life of a person or group of people. The argument that is often put forward that it is in the public interest to know what is going on and that secrets should not be kept from the public is a valid one, but there has to be a line drawn between the public interest and what the public are interested in. We will write a custom essay sample on How Far the Press Should Be Free to Report or any similar topic only for you Order Now That line was not necessarily crossed in the publication of the photos of prince William, as it is not inconceivable that he might be the future king of England and therefore it can almost be seen as a warning of how it is and isn’t acceptable to behave for somebody in the public eye. Although there are occasions when the press report stories that they shouldn’t, it must be taken into account that newspapers organisations have to make money, and therefore they have to be able to write stories which will sell copies and, if they are not given that right, the general public could become bored by newspapers. The Sun’s dominance in the journalism world of Britain is all the evidence needed to prove that the public are not looking to be informed, but to be entertained, and the most entertaining stories are usually the sensational ones. Another reason why the press should not be restricted is that Britain is a democracy and so the people at the top of society should not have omnipotent powers over what can and cannot be reported to the public. If you look at the fascist dictatorships of the past, one of the greatest crimes has been the lack of freedom of speech and this is what oppresses people more than anything. I am not saying that this is a position which Britain is nearing, but we must bear in mind that one of the fundamental components of a democracy is the freedom of speech, and as such you cannot justify taking this right away from anybody, whether they are talking to a friend or writing it in a newspaper. How to cite How Far the Press Should Be Free to Report, Essay examples

Rap vs Classical free essay sample

Im going to share my personal speculations on rap music versus, classical music. Born In a family of Jehovah witnesses, I personally enjoy all types of music, rap being the only one I detest . In perspective classical music is much more soothing than rap can ever be. Rap tends to discredit and disfigure woman. Rap started in the late sasss. Rap to me Is a cluster of drug dealers, and hood rats rapping telling young kids there troubled child hood stories. Rappers use vulgar language, that many times offend woman with there Impure lyrics.Most of the time I ray to listen to rap I hear absurdities that force me to change the song or station. Classical music has been around since the 18th century. Classical music , traditionally perceived that only upper-class society has access to and appreciation classical music, or even that classical music represents the upper-class society. We will write a custom essay sample on Rap vs Classical or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Thats false. Day by day I listen to classical music. Im infatuated by classical music its calm and always alleviates what ever burden or hardship I have in mind. The difference is very noticeable in sound. The listeners and audience of the two hypes of music are very different as well. Classical music and rap music are also both viewed very differently in society. As you can see Im fascinated by classical music. Its elegant, admirable, and fascinating. You dont have to be the creme of society to listen to classical music. Rap music on the other hand Is unacceptable, unsatisfactory ,and atrocious music you dont learn anything from . Elf you listen to classical music often youll become Inspired, harmonious, and tranquil. Rap vs. Classical By Passaic Born in a family of Jehovah witnesses, I personally enjoy all types of music, rapRap started in the late sasss. Rap to me is a cluster of drug dealers, and hood rats language, that many times offend woman with there impure lyrics. Most of the time I classical music, or even that classical music represents the upper-class society, thats elegant, admirable, and fascinating. You dont have to be the cryme of society to classical music. Rap music on the other hand is unacceptable, unsatisfactory ,and atrocious music you dont learn anything from . Elf you listen to classical music often youll become inspired, harmonious, and tranquil.

For my Love free essay sample

You probably cannot read this, in that chances I will never ever hate you. Im probably writing this for myself u know for therapeutic reasons. I guess I just say this stuff to forget you for a while. Its September 1st today that means It would been a 4 years and 6 months anniversary and I always keep complaining that for last 15 momentary you never ever visit me and celebrate those days. I know you probably roll your eyes If you can read this. Im ware that It has been over a year since you left me, 1 year and 3 months and 16 days exactly. I think right now, I cant flash the process u know and I cant finally accept the fact that you will never coming back, ever. Im doing okay right Just making those day to day stuff reading books and sometimes watching T. V. Did you ever remember those memories when we are child, youre my childhood friend, crush and a lover. We will write a custom essay sample on For my Love or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page I wish we stayed forever young so till now your with me, living in simplicity ND were inseparable. I didnt even bother myself to watch movies in cinema, and mailing ever. I just remember the day that you left me alone, forever. I know its my fault, I keep blaming myself for what just happen to you. People always say, You can find someone else, there are plenty more fishes in the sea. You know what I feel like a freaking fish in a bucket. Nowadays, your quite far away with your new life and home.I wonder if you remember me sometimes. I wish you can talk to me and say some memories that you still remember, cause you know what Im not doing well.

Add. Maths Project Essay Example

Add. Maths Project Essay Example Add. Maths Project Essay Add. Maths Project Essay ADDITIONAL MATHEMATICS PROJECT WORK 2011 GROUP MEMBERS: CONTENT PAGE |No. |Content |Page(s) | |1. |Introduction | | |2. |Definition | | |3. |History | | |4. |Part I | | |5. Part II | | |6. |Part III | | |7. |Further Exploration | | |8. |Reflection | | INTRODUCTION We students taking Additional Mathematics are required to carry out a project work while we are in Form Five. This year the Curriculum Development Division Ministry of Education has prepared four tasks for us. We are to choose and complete only ONE task based on our area of interest. This project can be done in groups or individually, but each of us are expected to submit an individually written report. I think the additional mathematics project work is a very good opportunity for us to test and enhance our thinking skills. We are given 6 weeks time frame to complete the assignment and I believe I have the luxury of time to think, think and think over the solutions to those questions. And the point of all of this is to learn new things and explore new horizons in mathematical fields. On this project I am working on, I hope to be able to make generalization about the volume and the weight of a cake for the occasion of Teachers Day celebration. Through the use of various mathematical methods like calculus, trial-and-improve method and graph, I am certainly and fairly to be able to achhieve my goal. I would like to point out that by using correct and suitable mathematical method and calculation, I sincerely wish that my project will be able to be implemented and achieve the desired results. Definition Pi, ? has the value of 3. 14159265. In Euclidean plane geometry, ? is defined as the ratio of a circles circumference to its diameter. [pic] ? =[pic] The ratio [pic] is constant, regardless of a circles size. For example, if a circle has twice the diameter of another circle it will also have twice the circumference, C, preserving the ratio [pic]. Alternatively ? can also be defined as the ratio of a circles area (A) to the area of a square whose side is equal to the radius. [pic] ? =[pic] A BRIEF HISTORY AND FACTS ABOUT CAKES Cake is a form of food, typically a sweet, baked dessert. Cakes normally contain a combination of flour, sugar, eggs, and butter or oil, with some varieties also requiring liquid (typically milk or water) and leavening agents (such as yeast or baking powder). Flavorful ingredients like fruit purees, nuts or extracts are often added, and numerous substitutions for the primary ingredients are possible. Cakes are often filled with fruit preserves or dessert sauces (like pastry cream), iced with buttercream or other icings, and decorated with marzipan, piped borders or candied fruit. Cake is often the dessert of choice for meals at ceremonial occasions, particularly weddings, anniversaries, and birthdays. There are countless cake recipes; some are bread-like, some rich and elaborate and many are centuries old. Cake making is no longer a complicated procedure; while at one time considerable labor went into cake making (particularly the whisking of egg foams), baking equipment and directions have been simplified that even the most amateur cook may bake a cake. Cakes are broadly divided into several categories, based primarily on ingredients and cooking techniques. Yeast cakes are the oldest, and are very similar to yeast breads. Such cakes are often very traditional in form, and include such pastries as babka and stollen. Cheesecakes, despite their name, arent really cakes at all. Cheesecakes are in fact custard pies, with a filling made mostly of some form of cheese (often cream cheese, mascarpone, ricotta or the like), and have very little to no flour added, alt hough a flour-based crust may be used. Cheesecakes are also very old, with evidence of honey-sweetened cakes dating back to ancient Greece. Sponge cakes are thought to be the first of the non-yeast-based cakes and rely primarily on trapped air in a protein matrix (generally of beaten eggs) to provide leavening, sometimes with a bit of baking powder or other chemical leaven added as insurance. Such cakes include the Italian/Jewish pan di Spagna and the French Genoise. Highly decorated sponge cakes with lavish toppings are sometimes called gateau; the French word for cake. Butter cakes, including the pound cake and devils food cake, rely on the combination of butter, eggs, and sometimes baking powder to provide both lift and a moist texture. Type of cakes commonly found in Malaysia |Birthday cake |Span cake |Banana cake |Butter cake | |[pic] |[pic] |[pic] |[pic] | |Lemon cake |Pound cake |Short cake |Orange cake | |[pic] |[pic] |[pic] |[pic] | |Spice cake Carrot cake |Fish cake |Pancakes | |[pic] |[pic] |[pic] |[pic] | |Sponge cake |Cheese cake |Layer cake |Cup cake | |[pic] |[pic] |[pic] |[pic] | Cakes come in a variety of forms and flavours and are among favourite desserts served during special occasions such as birthday parties, Hari Raya, weddings, birthday, celebration and etc. Cakes use mostly some form of cheese which is often cream cheese, or ricotta, and have very little to no flour component, although it sometimes appears in the form of a sweetened crust. he purpose behind cake decorating is to turn an ordinary cake into a spectacular piece of food art. Decorating a cake can be as complex or as simple as you wish. Cakes are treasured not only because of their wonderful taste but also in the art of cake baking and cake decorating. Sponge cake is a cake based on flour (usually wheat flour), sugar, and eggs, sometimes leavened with baking powder, that derives its structure from an egg foam into which the other ingredients are folded. In addition to being eaten on its own, it lends itself to incorporation in a vast variety of recipes in which pre-made sponge cake serves as the base. The sponge cake is thought to be one of the first of the non-yeasted cakes. Part I Cakes come in a variety of forms and flavours and are among favourite desserts served during special occasions such as birthday parties, Hari Raya, weddings and etc. Cakes are treasured not only because of their wonderful taste but also in the art of cake baking and cake decorating. Find out how mathematics is used in cake baking and cake decorating and write about your findings. Answer: We can use the geometry method to determine suitable dimensions for the cake, to assist in designing and decorating cakes that comes in many attractive shapes and designs and to estimate volume of cake to be produced Other than that, calculus or specified as differentiation is used to determine minimum or maximum amount of ingredients for cake-baking and cream needed for decorating and to estimate the minimum or maximum size of cake produced. Besides that, progressions is used to determine total weight and the volume of multi-storey cakes with proportional dimensions, to estimate total ingredients needed for cake-baking and total amount of cream for decoration. Part II Best Bakery shop received an order from your school to bake a 5 kg of round cake as shown in Diagram 1 for the Teachers’ Day celebration. Diagram 11) 1. If a kilogram of cake has a volume of 3800, and the height of the cake is to be 7. 0cm, calculate the diameter of the baking tray to be used to fit the 5 kg cake ordered by your school. [Use ? = 3. 142] Answer: Volume of 5kg cake = Base area of cake x Height of cake 3800 x 5 = (3. 142)(r)? x 7 (3. 142) = r? 863. 872 = r? r = 29. 392 d = 2r = 2 x 29. 392 = 58. 784 cm 2) The c ake will be baked in an oven with inner dimensions of 80. 0 cm in length, 60. 0 cmin width and 45. 0 cm in height. ) If the volume of cake remains the same, explore by using different values of heights,h cm, and the corresponding values of diameters of the baking tray to be used,d cm. Tabulate your answers Answer: First, form the formula for  d  in terms of  h  by using the above formula for volume of cake, V = 19000, that is: 19000 = (3. 142)(r)? h 19000/3. 142h = d2/4 24188. 145/h= d2/4 d = 155. 53/ h |Height,h (cm) |Diameter,d(cm) | |1. |155. 53 | |2. 0 |109. 98 | |3. 0 |89. 80 | |4. 0 |77. 77 | |5. |68. 56 | |6. 0 |63. 49 | |7. 0 |58. 78 | |8. 0 |54. 99 | |9. |51. 84 | |10. 0 |49. 18 | (b) Based on the values in your table, (i) State the range of heights that is NOT suitable for the cakes and explain your answers. Answer: The range   h ; 7cm is not suitable to make the cake because the resulting diameter produced is too large to fit into the oven. Furthermore, the cake would be too short and too wide, making it less attractive and hardly to handle. (ii) Suggest the dimensions that you think most suitable for the cake. Give reasons for your answer. Answer: The cake with the dimension h=7cm and d=54. 99cm. It is because the cake is fit to put into the oven, and the size is easier to handle. (c) (i) Form an equation to represent the linear relation between h and d. Hence, plot a suitable graph based on the equation that you have formed. [You may draw your graph with the aid of computer software. ] Answer: 19000 = (3. 142)x r? h 19000/3. 142h= d2/4 24188. 145/h=d2/4 d=155. 53h-1/2 log10d=-1/2 log10h + log10155. 53 19000 / (3. 142)h = |Log10 h |0 |1 |2 |3 |4 | |Log10 d |2. 19 |1. 69 |1. 19 |0. 69 |0. 19 | (ii) (a) If Best Bakery received an order to bake a cake where the height of  the cake is 10. 5 cm, use your graph to determine the diameter of  the round cake pan required. Answer: h = 10. 5cm, log h = 1. 21, log d = 1. 680,à ‚  d = 47. 86cm (b) If Best Bakery used a 42 cm diameter round cake tray, use your graph to estimate the height of the cake obtained. Answer: d = 42cm, log d = 1. 623, log h = 1. 140,  h = 13. 80cm 3) Best Bakery has been requested to decorate the cake with fresh cream. The thickness of the cream is normally set to a uniform layer of about 1cm (a) Estimate the amount of fresh cream required to decorate the cake using the dimensions that you have suggested in 2(b)(ii). Answer: h = 8cm, d = 54. 99cm Volume of cake before decoration = (3. 142) x (54. 99/2)2 x 8 = 19002. 18 cm3 New volume of cake after decoration = (3. 142) x (54. 99/2 +1)2 x 9 = 3. 142 x 28. 4922 x9 = 22960. 75 Therefore, amount of fresh cream= 22960. 75 – 19002. 18 = 3958. 57 cm3 (b) Suggest three other shapes for cake, that will have the same height and volume as those suggested in 2(b)(ii). Estimate the amount of fresh cream to be used on each of the cakes. Answer: Rectangle-shaped base (cuboid) 19002 = base area x height base area = 19002 / height length x width = 2375. 25 By trial and improvement,  2375. 25 = 50 x 47. 505 (length = 50, width = 47. 505, height = 8) Therefore, the amount of cream needed 2(Area of left/right side surface)(Height of cream) + 2(Area of front/back side surface)(Height of cream) + Vol. of top surface = 2(8 x 50)(1) + 2(8 x 47. 505)(1) + 2375. 25 =  3935. 33 cm Pentagon-shaped base 19002 = base area x height base area = 2375. 25 = area of 5 similar isosceles triangles in a pentagon therefore: 2375. 25 = 5(length x width) 475. 05 = length x width By trial and improvement, 475. 05 = 25 x 19 (length = 25, width = 19) Therefore, the amount of cream needed = 5(area of one rectangular side surface)(height of cream) + vol. of top surface = 5(8 x 19) + 2375. 25 =  3135. 5 cm? Square-based shape 19002 = side2 x height Side2 =2375. 25 Side = 48. 74 (width=48. 74cm, length=48. 74cm, height=8cm) Therefore, the amount of cream needed = vol of top surface + 4(area of one rectangular side surface)(height of cream) = 2375. 25 + (4 x 8 x 48. 75 x 1 ) = 3935. 25 cm3 (c) Based on the values that you have found which shape requires the least amount of fresh cream to be used? Answer: Pentagon-shaped cake, since it requires only 3135 cm? of cream to be used. Part III Find the dimension of a 5 kg round cake that requires the minimum amount of fresh cream to decorate. Use at least two different methods including Calculus. State whether you would choose to bake a cake of such dimensions. Give reasons for your answers. Answer: Method 1: Differentiation Use two equations for this method: the formula for volume of cake (as in Q2/a), and the formula for amount (volume) of cream to be used for the round cake (as in Q3/a). 19000 = (3. 142)r? h > (1) V = (3. 142)r? + 2(3. 142)rh > (2) From (1): h = > (3) Sub. (3) into (2): V = (3. 142)r? + 2(3. 142)r() V = (3. 142)r? + () V = (3. 142)r? + 38000r-1 () = 2(3. 142)r – () 0 = 2(3. 142)r – () minimum value, therefore = 0 2(3. 142)r = r? 6047. 104 = r? r = 18. 22 Sub. r = 18. 22 into (3): h = h = 18. 22 therefore,  h = 18. 22cm, d = 2r = 2(18. 22) = 36. 44cm Method 2: Quadratic Functions Use the two same equations as in Method 1, but only the formula for amount of cream is the main equation used as the quadratic function. Let f(r) = volume of cream, r = radius of round cake: 19000 = (3. 142)r? h > (1) f(r) = (3. 142)r? + 2(3. 142)hr > (2) From (2): f(r) = (3. 142)(r? + 2hr) factorize (3. 142) = (3. 142)[ (r + )? – ()? ] completing square, with a = (3. 142), b = 2h and c = 0 = (3. 42)[ (r + h)? – h? ] = (3. 142)(r + h)? – (3. 142)h? (a = (3. 142) (positive indicates min. value), min. value = f(r) = –(3. 142)h? , corresponding value of x = r = h) Sub. r = h into (1): 19000 = (3. 142)(h)? h h? = 6047. 104 h = 18. 22 Sub. h = 18. 22 into (1): 19000 = (3. 142)r? (18. 22) r? = 331. 894 r = 18. 22 therefore,  h = 18. 22 cm, d = 2r = 2(18. 22) = 36. 44 cm I would choose not to bake a cake with such dimensions because its dimensions are not suitable (the height is too high) and therefore less attractive. Furthermore, such cakes are difficult to handle. FURTHER EXPLORATION Best Bakery received an order to bake a multi-storey cake for Merdeka Day celebration, as shown in Diagram 2. [pic] The height of each cake is 6. 0 cm and the radius of the largest cake is 31. 0 cm. The radius of  the second cake is 10% less than the radius of the first cake, the radius of the third cake is10% less than the radius of the second cake and so on. (a) Find the volume of the first, the second, the third and the fourth cakes. By comparing all these values, determine whether the volumes of the cakes form a number pattern? Explain and elaborate on the number patterns. Answer: eight, h of each cake = 6cm radius of largest cake = 31cm radius of 2nd  cake = 10% smaller than 1st  cake =27. 9 radius of 3rd  cake = 10% smaller than 2nd  cake = 25. 11 Radius of 4th cake= 10% smaller than 3rd cake =25. 599 a = 31, r = V = (3. 142)r? h Radius of 1st  cake = 31, Volume of 1st  cake = (3. 142)(31)? (6) =  18116. 772 Radius of 2nd  cake = 27. 9, Volume of 2nd  cake =   14674. 585 Radius of 3rd  cake = 25. 11, Volume of 3rd  cake =  11886. 414 Radius of 4th  cake = 22. 599, Volume of 4th  cake =  9627. 995 The progression is as following: 18116. 772, 14674. 585, 11886. 414, 9627. 95, †¦ a = 18116. 772, common ratio, r = T2/T1  = T3  /T2  = †¦ = 0. 81 Thus, it is a geometric progression with the first term, a = 18116. 772 and the common ratio, r= 0. 81. (b)  If  the  total mass  of all  the  cakes  should not  exceed  15  kg,  calculate the  maximum number of cakes that the bakery needs to bake. Verify your answer using other methods. Answer: The volume of 1kg of cake = 3800 Thus, the volume of 15kg of cake = 3800 x 15 =57000 Sn ; 57000 a (1-rn) / 1-r ;57000 18116. 772 ( 1-0. 81n) / 1. 0. 81 ; 57000 18116. 772 (1-0. 81n) ; 10830 1-0. 81n ; 0. 5978 0. 81n ; 0. 4022 log100. 81 ; log10 0. 4022 n ; 4. 322 therefore,  n  =  4 REFLECTION In the making of this project, I have spent countless hou rs doing this project. I realized that this subject is a compulsory to me. Without it, I can’t fulfill my big dreams and wishes†¦. I used to hate Additional Mathematics†¦ It always makes me wonder why this subject is so difficult†¦ I always tried to love every part of it†¦ It always an absolute obstacle for me†¦ Throughout day and night†¦ I sacrificed my precious time to have fun†¦ From now on, I will do my best on every second that I will learn Additional Mathematics.

Distinguishing Any Parallels and Variations within The Texts, Discuss Essay

Distinguishing Any Parallels and Variations within The Texts, Discuss To What Extent Female Power Could Be Said To Exist In The Colour Purple [Alice Walker] A - Essay Example Still, it is immediately difficult from Celie’s â€Å"Dear God,† letters to discern the exact date, but the post slavery setting is obvious by the ownership of property; and that the only â€Å"enslavement† that is apparent is the enslavement of black women, especially very young black women, to black men (Walker, pp. 11-15). Celie, her mother, her sister Nettie, and the other women introduced into Walker’s story seem not to be aware of a lifestyle where they had a choice other that of being subservient to men. Nor do they have any control over the use of bodies by the men in the lives (p16-18). Walker’s protagonist, Celie, begins experiencing the subservient demands and physical demands made by men in their society at the time; she has no choice, she is physically used and abused, although Walker does convey the idea that Celie may have been somewhat prepared for her role even if only by observing her mother’s condition of subservience and as a witness to the physical abuse her mother suffered. That Celie’s first physical experience was at the hands of the man she believed to be her father, worried Celie only to the extent that it caused a crack in the relationship between herself and her mother. Still, Celie sees the man, Albert, who comes to the family initially to negotiate for Celie’s sister, Nettie, as an escape; knowing that she will continue in a subservient role in Albert’s household (Walker, pp. 16-18). At this point, the themes of mental and physical enslavement are evident, even in the post Civil War setting. In Atwood’s story of The Handmaid’s Tale, it’s as though time has moved backward, away from the contemporary life and lifestyle that the young protagonist can still recall in the quiet moments she finds for herself (Walker, pp. 3-4). We do, however, quickly become aware that a â€Å"war† is going on (Atwood, p. 19)She, like Celie, has been relegated to a life of subservience to the male authority, left with no choice