Complete Guide to Fractions and Ratios in ACT Math

Complete Guide to Fractions and Ratios in ACT Math SAT/ACT Prep Online Guides and Tips Parts and proportions (and by expansion sound numbers) are surrounding us and, intentionally or not, we use them consistently. On the off chance that you needed to gloat over the way that you ate a large portion of a pizza without anyone else (and why not?) or you had to realize what number of parts water to rice you need when making rice on the oven (two sections water to one section rice), at that point you have to impart this utilizing divisions and proportions. Generally, divisions and proportions speak to bits of an entire by contrasting those pieces either with one another or to the entire itself. Don’t stress if that sentence has neither rhyme nor reason at the present time. We’ll disrupt down all the guidelines and operations of these ideas all through this guideboth how these numerical ideas work when all is said in done and how they will be introduced to you on the ACT. Regardless of whether you are a predictable at managing parts, proportions, and rationals, or a beginner, this guide is for you. This guide will separate what these terms mean, how to control these sorts of issues, and how to answer the most troublesome portion, proportion, and discerning number inquiries on the ACT. What are Fractions? $${apiece}/{ hewhole}$$ Portions are bits of an entirety. They are communicated as the sum you have (the numerator) over the entire (the denominator). Amy’s feline brought forth 8 cats. 5 of the little cats had stripes and 3 had spots. What part of the litter had stripes? $5/8$ of the litter had stripes. 5 is the numerator (top number) since that was the measure of striped little cats, and 8 is the denominator (base number) in light of the fact that there are 8 cats aggregate in the litter (the entirety). Little cat math is the best sort of math. Exceptional Fractions There are a few various types of uncommon portions that you should know so as to take care of the more intricate part issues. Release us through each of these: A number over itself rises to 1 $6/6 = 1$ $47/47 = 1$ ${xy}/{xy} = 1$ An entire number can be communicated as itself more than 1 $17 = 17/1$ $108 = 108/1$ $xy = {xy}/1$ 0 isolated by any number is 0 $0/0 = 0$ $0/5 = 0$ $0/{xy} = 0$ Any number isolated by 0 is vague Zero can't go about as a denominator. For more data on this look at our manual for cutting edge numbers. Yet, until further notice, the only thing that is important is that you realize that 0 can't go about as a denominator. Presently we should discover how to control divisions until we open the appropriate responses we need. Diminishing Fractions In the event that you have a part where both the numerator and the denominator can be partitioned by a similar number (called a â€Å"common factor†), at that point the division can be diminished. More often than not, your last answer will be introduced in its most diminished structure. So as to lessen a division, you should locate the basic factor between each bit of the portion and separation both the numerator and the denominator by that equivalent sum. By partitioning both the numerator and the denominator by a similar number, you can keep up the correct connection between each bit of your portion. So on the off chance that your portion is $5/25$, at that point it tends to be composed as $1/5$. Why? Since both 5 and 25 are detachable by 5. $5/5 = 1$ Also, $25/5 = 5$. So your last portion is $1/5$. Including or Subtracting Fractions You can include or deduct parts as long as their denominators are the equivalent. To do as such, you keep the denominator steady and essentially include the numerators. $2/+ 6/= 8/$ However, you CANNOT include or take away divisions if your denominators are inconsistent. $2/+ 4/5 = ?$ So what would you be able to do when your denominators are inconsistent? You should make them equivalent by finding a typical numerous (number the two of them can duplicate uniformly into) of their denominators. $2/+ 4/5$ Here, a typical various (a number the two of them can be duplicated uniformly into) of the two denominators 5 is 55. To change over the portion, you should duplicate both the numerator and the denominator by the sum the denominator took to accomplish the new denominator (the regular various). Why duplicate both? Much the same as when we diminished parts and needed to isolate the numerator and denominator by a similar sum, presently we should duplicate the numerator and denominator by a similar sum. This procedure keeps the part (the connection among numerator and denominator) steady. To get to the shared factor of 55, $2/$ must be duplicated by $5/5$. Why? Since $ * 5 = 55$. $(2/)(5/5) = 10/55$. To get to the shared factor of 55, $4/5$ must be increased by $/$. Why? Since $5 * = 55$. $(4/5)(/) = 44/55$. Presently we can include them, as they have a similar denominator. $10/55 + 44/55 = 54/55$ We can't lessen $54/55$ any further as the two numbers don't share a typical factor. So our last answer is $54/55$. Here, we are not being asked to really include the parts, just to locate the lowest shared factor so we could include the portions. Since we are being solicited to locate minimal sum from something, we should begin at the most modest number and work our way down (for additional on utilizing answer decisions to help take care of your concern in the fastest and least demanding manner, look at our article on connecting answers). Answer decision An is wiped out, as 40 isn't equally separable by 12. 120 is equally separable by 8, 12, and 15, so it is our lowest shared factor. So our last answer is B, 120. Increasing Fractions Fortunately it is a lot more straightforward to increase portions than it is to include or partition them. There is no compelling reason to locate a shared factor when multiplyingyou can simply increase the parts straight over. To increase a portion, first duplicate the numerators. This item turns into your new numerator. Next, increase your two denominators. This item turns into your new denominator. $2/3 * 3/4 = (2 * 3)/(3 * 4) = 6/12$ What's more, once more, we decrease our division. Both the numerator and the denominator are separable by 6, so our last answer becomes: $1/2$ Exceptional note: you can accelerate the duplication and decrease process by finding a typical factor of your cross products before you increase. $2/3 * 3/4$ = $1/1 * 1/2$ = $1/2$. Both 3’s are products of 3, so we can supplant them with 1 ($3/3 = 1$). Our different cross products are 2 and 4, which are the two products of 2, so we had the option to supplant them with 1 and 2, separately ($2/2 = 1$ and $4/2 = 2$). Since our cross products shared elements for all intents and purpose, we had the option to diminish the cross products before we even started. This spared us time in diminishing the last portion toward the end. Observe that we can possibly decrease cross products when increasing divisions, never while including or taking away them! It is likewise a totally discretionary advance, so don't feel committed to decrease your cross multiplesyou can generally basically diminish your portion toward the end. Isolating Fractions So as to isolate parts, we should initially take the equal (the inversion) of one of the portions. A short time later, we essentially increase the two divisions together as would be expected. For what reason do we do this? Since division is something contrary to augmentation, so we should invert one of the parts to transform it once again into a duplication question. ${1/3} à · {3/8} = {1/3} * {8/3}$ (we took the equal of $3/8$, which implies we turned the part over to become $8/3$) ${1/3} * {8/3} = 8/9$ Since we've perceived how to tackle a part issue the long way, we should talk easy routes. Decimal Points Since divisions are bits of an entire, you can likewise communicate portions as either a decimal point or a rate. To change over a division into a decimal, just partition the numerator by the denominator. (The $/$ image likewise goes about as a division sign) $3/10 = 3 + 10 = 0.3$ Here and there it is simpler to change over a division to a decimal so as to work through an issue. This can spare you time and exertion attempting to make sense of how to isolate or duplicate parts. This is an ideal case of when it may be simpler to work with decimals than with parts. We’ll experience this issue the two different ways. Quickest waywith decimals: Essentially locate the decimal structure for each part and afterward look at their sizes. To discover the decimals, isolate the numerator by the denominator. $5/3 = 1.667$ $7/4 = 1.75$ $6/5 = 1.2$ $9/8 = 1.125$ We can plainly observe which parts are littler and bigger since they are in decimal structure. In climbing request, they would be: $1.125, 1.2, 1.667, 1.75$ Which, when changed over back to their division structure, is: $9/8, 6/5, 5/3, 7/4$ So our last answer is A. More slow waywith divisions: On the other hand, we could analyze the divisions by finding a shared factor of each part and afterward looking at the extents of their numerators. Our denominators are: 3, 4, 5, 8. We realize that there are no products of 4 or 8 that end in an odd number (on the grounds that a much number * a considerably number = a significantly number), so a shared factor for all must end in 0. (Why? Since all products of 5 end in 0 or 5.) Products of 8 that end in 0 are additionally products of 40 (on the grounds that $8 * 5 = 40$). 40 isn't distinct by 3 nor is 80, however 120 is. 120 is distinct by every one of the four digits, so it is a shared factor. Presently we should discover how frequently every denominator must be duplicated to approach 120. That number will at that point be the sum to which we increase the numerator so as to keep the portion reliable. $120/3 = 40$ $5/3$ = ${5(40)}/{3(40)}$ = $200/120$ $120/4 = 30$ $7/4$ = ${7(30)}/{4(30)}$= $210/120$ $120/5 = 24$ $6/5$ = ${6(24)}/{5(24)}$= $144/120$ $120/8 = 15$ $9/8$ = ${9(15)}/{8(15)}$= $135/120$ Presently that they all offer a shared factor, we can just look to the size of their numerators and think about the littlest and the biggest. So the request for the divisions from least to most noteworthy would be: $135/120, 144/120, 200/120, 210/120$ Which, when changed over go into their unique divisions, is: $9/8, 6/5, 5/3, 7/4$ So by and by, our last answer is A. As should be obvious, we had the option to

Insecurity in Nigeria Free Essays

Instability IN NIGERIA Underlying the journey for national security in Nigeria is the issue of political profound quality, which centers around the subject of characterizing the connection between the state and the different gatherings in the general public. Political profound quality appropriately interpreted tries to set up and support the basic conditions for the smooth working of the state and society. It is in this light we distinguish the issue of the ethical premise of Nigeria’s security to be a crucial basic of national compromise, national endurance and national improvement in the new thousand years. We will compose a custom paper test on Instability in Nigeria or on the other hand any comparative subject just for you Request Now Our assessment of the ethical establishments of national security is even more huge when we inspect the pattern of occasions throughout the entire existence of military and financial development in Nigeria, particularly under the recent military systems of Abacha and Babangida. This exposition is especially worried about indicating the example of moral degeneration that prompted the methodical and organized disintegration of individual and aggregate harmony, security, steadiness and concordance inside the Nigerian culture. Likewise, the requirement for an assessment of the moral premise of human social presence in Nigeria is additionally featured by president Obasanjo (1999: 8) who 245National Security, Social Order†¦ in the October 1999 national day discourse underlined that there is a need to look at the ethical establishments of every one of our activities and to keep on scanning for the conditions that will make Nigeria a simply, free and well off society. Obasanjo’sstatement plainly suggests that the nation is yet to accomplish the much wanted degree of moral lead and regard for human poise that can guarantee the upkeep of security, harmony and request in the general public. Without a doubt, the historical backdrop of Nigeria shows that the act of certifiable good lead and the assurance of sufficient individual and national security for all sections of the general public has been an illusive and purposeless undertaking. An assessment of the range of national life uncovers the occurrence of debasement in high and low places, clashes and disarray in different networks and locales, avarice and self-centeredness as the core values of human social communication, just as a circumstance of inescapable rebellion in the direct of day by day life . As aconfirmation of the issue of national security in Nigeria the Nigerian Bar Association [NBA] has expressed that there is expanding national rot and instability, which is found in the relapsing economy, unviable emergency clinic offices and wellbeing administrations, absence of good funnel borne water, transportation and fuel issues that have overpowered the general public (Nwankpa 2000: 8). We may likewise include that the issue of national security is found in the expanding circumstance of disorder, brutality and culpability that have gotten endemic in the country. The proof of the inauspicious state national security is found in what Onyegbula (2000: 24) portrays as the reducing way of life and the disintegrating social frameworks and instructive framework. For example, the streets, refineries,hospitals and schools have not been working at their ideal levels. All the more in this way, the presence of an ineffectively prepared police power, has constrained the resignation of the security of lives and property of Nigerians to the ethnic state army gatherings and different questionable common guard and vigilante affiliations. Together, these common and institutional security offices and gatherings take an interest in the organized brutalization, coercion and constraint of the individuals. In this way, our contention is that the disintegration of both the nobility of the human individual and the sacredness of the social request, has guaranteed that the foundation of authentic national security in the country has not been satisfactorily ensured. All the more critically, the previous methodologies, which have been embraced in the endeavor to give national security in Nigeria, have not been effective. Henceforth, there is a need to look for another way to deal with the goals of the issue of national security in Nigeria and a valid statement to begin the conversation is to endeavor a calculated investigation of social request as an introduction to the assessment of national security. Oham Ugochukwu This day Journalist OHAM UGOCHUKWU YEAR 10 ENGLISH LANGUAGE Step by step instructions to refer to Insecurity in Nigeria, Papers

Etiquette Workshop The Keys to Painless Networking

Etiquette Workshop The Keys to Painless Networking As part of the Undergraduate Practice Opportunities Program (UPOP), a program which teaches sophomores about leadership and work-place dynamics, I attended an etiquette seminar taught by Jodi Smith last week. For an hour and half, Ms. Smith taught us the Top Ten Tips for Painless Networking, which I thought I would share: 1. At a networking event, always wear a nametag and wear it on your right side. When you shake someones hand, you extend your right arm, so their eyes will naturally follow your arm and see your nametag. 2. Have a good handshake. It shouldnt be weak and you shouldnt break their bones. Hold it for a few seconds while making eye contact and then let go! 3. When introducing yourself, say your name slowly and clearly. If you have a difficult name, maybe give a mnemonic. 4. Also during your introduction, give a little snippet of information about yourself that might help jumpstart the conversation. Make sure the tagline is appropriate for the situation, like you wouldnt walk up to the CEO of GE and say My name is Joe, and I have three dogs, while that line might be appropriate if youre introducing yourself to a veterinarian or fellow dog lover. 5. Do your homework! If youre going to an event sponsored by a specific organization, know what the organization does and who might possibly be there. 6. Have good body language: dont cross your arms or slouch. 7. Make eye contact! 8. Before starting a conversation, know whether you are going to be the driver or the passenger. 9. Make a graceful exit, even if your conversation was less than pleasant. 10. Get business cards and follow up. After the seminar, we went to a Mocktail Party held in a reception area. We had the opportunity to put our new knowledge to the test while conversing with alumni and employers. It was a great learning experience and I particularly appreciate that the UPOP program tries to emphasize that even summer interns can become leaders when equipped with the necessary confidence and drive. If youre interested in general etiquette, MIT holds a Charm School for one full day during IAP. Its supposed to be quite the learning experience!

My Childhood Memories Without Gary - 1142 Words

Little girls usually request princess gowns and Barbie dolls for their birthday each year. Growing up, for my birthday, I asked my parents for a little sister. A bit of an unconventional gift. I wanted nothing more than someone to share closets with, to help me get ready for dates, and to gossip endlessly with. My wish was never granted. Instead, I got something I did not realize I needed. Something I would not immediately realize how life changing it would be. God graced me with two older brothers, Alex and Gary. The twist in this story is, I am now older than one of them. Confusing, I know. What is even more confusing, they are the same age yet their birthdays are 11 days apart. There are few scenarios that make this possible. Alex is my†¦show more content†¦That woman was not my mother. I immediately asked her, â€Å"Mom what’s wrong?† The conversation that followed I imagine is one my mother wished never would have occurred in her lifetime. Her words foreve r imprinted in my mind, â€Å"Gary passed away.† â€Å"No he didn’t mom.† I could not fathom that being true. To make something like that up would be cruel. My mom was not lying. Life from that moment on has never been the same. The loss of a family member creates a void that will never be filled. Never had I imagined that at the age of 18 with the world at my heels, I would be leaving my freshman college dorm to travel home to bury my 20 year old brother. Nearly six years later, at the age of 24 I am now older than my older brother. I have surpassed many milestones he will never have the pleasure of experiencing. Gary will eternally remain the young age of 20. However, my life continues, on April 24th every year I add 365 days to my roster. I am the type of person that searches for a silver lining in almost every situation possible. How does one find a silver lining in death? You don’t. The only way I can fathom dealing with it is knowing I have a guardian angel safeguarding all those in my life as well as me. That is not to say I have not gained anything from this tragedy. First and foremost my last words to Gary were â€Å"I love you.† Those are also the last words in any conversation I have with my friends and family. Second, this lifeShow MoreRelatedThe Green River Killer Essay959 Words   |  4 Pagesto justice. The green river killer is one case that really got me intrigued into forensics and I got mesmerized by the techniques that are being used to catch murderers and other crimes being committed. The green river killer had an interesting childhood that led him to be a serial killer. He committed multiple murders on prostitutes and left there families with agony and pain. But advances in DNA ultimately led to his demise, police officers were able to capture and arrest him and bring justiceRead MoreMy Familys Health History1593 Words   |  7 Pagesfamily is perfect and healthy but in actuality that’s not always the case. Searching through my family health history I found a lot of people were ill with something I did not know they were suffering with. While doing my family history report I found a lot of depression in my family on my mom’s side. This really made me realize I need to look out for her. A family friend and I are very worried about my mother ever since she was crushed between two cars a few years back and is now forever handicappedRead MoreCommunity Center : A Family Resource Center1470 Words   |  6 PagesAnother one of my internships was at a family resource center. There services ranged from counseling, community classes, food pantry services, medical and dental services, and insurance assistance. Vista Community Clinic: The Gary Center helped different population of clients of all ages, ethnicities, and economic backgrounds. One of my main tasks to do was help people fill out their Medi-Cal, Cal Fresh, and Cash aid applications. This task helped me learn more about the insurance system and howRead MoreAnalysis of Six Poems1130 Words   |  4 Pages† â€Å"How I Discovered Poe try,† â€Å"Poetry Should Ride the Bus,† â€Å"How Poetry comes to me,† â€Å"Making It in Poetry† and â€Å"Poem.† I for one will be explicating each poem and discussing how they are similar and different in their own ways. As well as explaining my own thoughts on the poems themselves and summarizing what I believe them to be. In the first poem, â€Å"Introduction to Poetry† the speaker is obviously a teacher. He is trying to get his students to appreciate poetry. 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The sun was veiled by the perilous clouds looming over us, setting a somber look to the horizon. The icy air funneled through my throat and surged through my veins. A small group composed of my Mother, Father, Aunt, Grandma, Grandpa, and Sister trudged through the damp pastureRead More Relationships Between Mothers and Daughters in Tans The Joy Luck Club1457 Words   |  6 Pagesup speaking only English and swallowing more Coca-Cola than sorrow.   For a long time now the woman had wanted to give her daughter the single swan feather and tell her, â€Å"This feather may look worthless, but it comes from afar and carries with it all my good intentions.†Ã‚   And she waited, year after year, for the day she could tell her daughter this in perfect American English (Tan 3).† The American culture focuses more on the individual.   Typical Americans always want to be independent.   Traditionally

How Marriage Is Presented in Desirees Baby The Story...

State how marriage is presented in the stories, â€Å"Desiree’s Baby† and â€Å"The Story of an Hour.† In â€Å"Desiree’s Baby† and â€Å"The Story of an Hour† there are two distinguishable women who are dependent on and controlled by their husbands both physically and emotionally. In â€Å"The Story of an Hour† Mrs. Mallard is restricted by the institution of marriage while, in â€Å"Desiree’s Baby† Desiree is confined to her husband because of her dependency on him. In the story â€Å"Desiree’s Baby† it shows how Armand is impulsive when he fell in love with Desiree instantaneously. It was at the same pillar where Monsieur Valmonde, her adopted father, found her and her new life begun and ironically it is the same place Armand fell in love with her, signifying another†¦show more content†¦Mallard is unsatisfied with the limitations of her marriage, however, like Desiree, she is submissive and believes that the end of her duties as a wife will come at the death of her husband and her freedom will be given to her. Also, she experiences little or no feelings because of her marriage. This is shown when Mrs. Mallard, after hearing of her husband’s death, cries, but ironically she senses a moment of euphoric pleasure at the awaiting freedom in her remaining life. â€Å"She saw beyond that bitter moment a long procession of years to come that would belong to her absolutely.† Mrs. Millard is now aware of things that were not noticeable before such as: the beginning of spring, patches of blue sky through clouds, the twittering of sparrows and the smelling of the pending rain, which may signify the nature of her freedom. Mrs. Mallard would now be able to live her life outside the home and find her identity. In both stories it show how each protagonist is psychologically governed by men. While Desiree seems to experience the importance of existence because of the actions taken by her spouse, it is not until Mrs. Mallard’s husband is confirmed deceased that she comprehends a change of feelings that were suppressed. This is accomplished by the newly gained insight experienced by Mrs Mallard which shows the kind of relationship she had with her husband. This is also evident in the line, â€Å"There would be no powerful will bending hers in that blind persistence with which menShow MoreRelatedAn Examination Of How Kate Chopin s Work1298 Words   |  6 PagesENGL 1102 – Comp/Lit Essay 2 (Mulry) Sellers, James R – 920022413 Due Date: April 20, 2015 An Examination of How Kate Chopin’s Works Taken Together Contribute to our Understanding of Her Time and the Place of Women in Society Looking at themes present in his short stories and novels, Kate Chopin presents examples of female strength and an assertive rebellion to the social norms during the late 1800s. By seeking to transparently and boldly portray the risquà © behavior of her lead characters, whichRead MoreAn Analysis Of Kate Chopin s Chopin 1690 Words   |  7 PagesKate Chopin was a famous American author of many short stories and novels. Chopin is now considered to have been a predecessor of the feminist movement and a leader of the feminist authors of the late 19th and early 20th centuries. Kate Chopin lived a rather traditional life as a housewife until her husband’s untimely death, which significantly changed the course of her life. Chopin s career as a writer actually began when she started facing financial struggles due to the death of her husband. Chopin’sRead MoreWomen s Search For Selfhood2169 Words   |  9 Pageswith men and have the same opportunities they had. Chopin s stor ies contain much mental understanding of deep things that draws attention to her characters and plots. Important themes in her writing were female sexuality, inequality of men and women, male dominance. Chopin can use the physical setting in her stories to bring attention to important themes, affect the way of thinking of the characters, and add to the mood of her stories. Kate Chopin’s work displayed the difficulty of women livingRead MoreResearch Paper on Kate Chopin and the Feminism in Her Works2066 Words   |  9 PagesLicano 1 Maria Licano Mrs. Hummel Ap English 08 27 April 2012 Kate Chopin: Feminism in Her Works â€Å"Love and passion, marriage and independence, freedom and restraint.† These are the themes that are represented and worked with throughout Kate Chopin’s works. Kate Chopin, who was born on February 8, 1851, in St. Louis, was an American acclaimed writer of short stories and novels. She was also a poet, essayist, and a memoirist. Chopin grew up around many women; intellectual women that is. Chopin

Supply and Demand and Cell Phones Free Essays

Damita Nix 1/15/2012 CTU Online ECON202-1201B Phase 1 Individual Project1 Instructor Olanrewaju Abstract This paper will explore the world of two particular types of cell phones that are identical with minor features. I will be demonstrating skills in using the tools of economics for decision making for the firm operating in the market economy to include supply and demand, elasticity of demand, consumer behavior and utility maximization, and the costs of production both short-run and long-run. I will also be demonstrating the ability to clearly present views in written and/or oral expression. We will write a custom essay sample on Supply and Demand and Cell Phones or any similar topic only for you Order Now On the web, I will research additional information about the A-Phone and the Pomegranate. The task below also requires me to draw graphs of supply and demands increases and decreases. When the task is complete you will have learned about the demand curve of an A phone, a clear understanding on what happens to the price and quantity supplied, equilibrium, and effects on government interventions with cell phones. Title: Cell Phones Part I Draw the demand curve for the A-Phone. Explain how the graph, price, and quantity demanded  will change if the following occurs: * There is an overall increase in income. There is an overall increase in income and people believe that the Pomegranate is now better than the A-Phone. * The price of the A-Phone goes up  when a flaw is found in the Pomegranate. * A new type of walkie-talkie has an unlimited range and is basically free. * It is discovered that there are health concerns when using cell phones. * There is a baby boom. * The price of the A -Phone and the Pomegranate both go up. Price P1 P2 P3 Demand Q1 Q2 Q3 Quantity What happens to the supply of cell phones if the market price goes up? Part II Explain what happens to the price and quantity supplied and how it reflects on a graph if the following occurs: * It becomes more expensive to produce cell phones. * More cell phones are being produced with the same amount of inputs. * Walkie talkies are popular because of the new technological change mentioned above. * Another company starts producing cell phones, and now there are  3 producers in the market. * People think the price of cell phones will go up in the future. PriceSupply P1 Q1 Quantity Part III Draw a graph which shows the equilibrium price of cell phones. Explain what the graph is showing. When the new manufacturer introduces the Robo cell phone to the market, how does that effect the equilibrium price if the Robo is basically the same as the other cell phones? ————- Part IV As the public’s dependence on cell phones continues to grow, the cost of the phones may be decreasing, but the stronghold that  telecommunication companies have on the public in regards to contracts and climbing fees is alarming. Additionally, all cell phone companies charge about the same prices, and the consumers do not have much choice in substituting providers. Consumers appear to need some controls in this regard, and the government decides to step in. * What is the effect of government intervention in the cell phone market? Make sure that you use graphs to illustrate your point. * Is this a good thing for consumers? On the other hand, the government sees the increase in cell phone use as an opportunity to make some additional revenue, and it decides to tax  service  providers. * Who is really paying the tax? * Illustrate your conclusion on a graph. * Do you think that there is a free market for cell phone users? Why or why not? References How to cite Supply and Demand and Cell Phones, Papers

Scarlet Letter Reflection Essays - English-language Films

Scarlet Letter Reflection Nathaniel Hawthorne has a sufficient reason for repeatedly making reference to mirrors throughout his refined novel, The Scarlet Letter. The use of mirrors in the story serve a beneficial purpose of giving the reader a window to the character's soul. The truth is always portrayed in the author's mirrors; thus, his introspective devices will continuously point out the flaws to whom gazes in it. Hester's "A" has now become the most noticeable part of not only her physical features, but her spiritual being. The reflection of Pearl Prynne uncovers her hard shell and brings out the loneliness, the innocent recklessness, and the wild beauty within her. Reverend Dimesdale's image only radiates the dark, gloomy truth of his impurities. The looking glass Nathaniel Hawthorne places in front of his characters, therefore, focuses on the realms that each beholder attempts to hide from the world around them. In chapter two while Hester is standing on the scaffold, she tries to run from reality by reminiscing of her youth. At that moment, "she saw her own face, glowing with girlish beauty, and illuminating all the interior of the dusky mirror in which she had been wont to gaze at it." Sadly, the mirror will never again give Hester that immaculate reflection. Instead, the image will always resemble that of the breastplate at the governor's mansion in chapter seven, "owing to the peculiar effect of this convex mirror, the scarlet letter was represented in exaggerated and gigantic proportions, so as to be greatly the most prominent feature to her appearance." Ironically, the two symbols of her sin and suffering, the scarlet letter and Pearl, are now the most significant elements of her life. Hester is no longer looked at as a woman in society, and in the mirror, "she seemed absolutely hidden behind it (the scarlet letter)." As for her child, "that look of naughty merriment was likewise reflected in the mirror, with so much breadth and intensity of effect, that it made Hester Prynne feel as if it could not be the image of her own child, but of an imp who was seeking to mold itself into Pearl's shape." Pearl's mischievous looks are magnified in the mirroring surface to remind Hester that her child is in fact a part of the punishment of her sin. "Once this freakish, elvish cast came into the child's eyes while Hester was looking at her own image in them. . . . she fancied that she beheld, not her own miniature portrait, but another face, in the small black mirror of Pearl's eye. It was a face, fiendlike, full of smiling malice, yet bearing the resemblance of features that she had known full well, through seldom with a smile, and never with malice in them." This is another indicator in chapter six that Pearl's presence does in fact haunt Hester. It also speaks the truth that Roger Chillingworth is not the same man he once was, and Hester will continue to be haunted by him also. Nathaniel Hawthorne's use of mirrors plays a crucial part in portraying the hidden side of Pearl Prynne. Though Pearl has a reputation to be "of witchcraft" and gives the reader an impression of being a "brat", the child has a very fragile and endearing soul that wanders on the other side of the mirroring surface. In chapter fourteen by the ocean, Pearl "came to a full stop, and peeped curiously into a pool, left by the retiring tide as a mirror for Pearl to see her face in. Forth peeped at her, out of the pool, with dark glistening curls around her head and an elf-smile in her eyes, the image of a little maid, whom Pearl, having no other playmate, invited to take her hand and run a race with her." The reflecting pool portrays Pearl as an innocent and beautiful child who is very lonely. That is very understandable, for Pearl is not like the other children; her only two friends are nature and her mother, Hester. In chapter fifteen, Pearl "flirted fancifully with her own image in a pool of water, beckoning the phantom forth, and--as it declined venture--seeking a passage for herself into its sphere of impalpable earth and unattainable sky. Soon finding however, that either she or the image was unreal, she turned elsewhere for better pastime." Pearl's reflection is very real, and chapter sixteen smoothly continues this concept through another body of water--the brook in the forest. "Pearl resembled the brook, inasmuch as the current of her life gushed from.