Questions

One leg of a right triangle is 2 millimeters longer than the shorter leg and the hypotenuse is 4 millimeters longer than the shorter leg Find the lengths of the sides of the triangle The length of the shorter leg is The length of the longer leg is The length of the hypotenuse is millimeters cubic millimeters square millimeters

You are playing a game where you must roll two 4 sided dice each die can yield a value of 1 2 3 or 4 The goal is to obtain a score of at least 6 You initially roll both dice and are allowed to reroll one of them the other die value must be kept For example if you roll the dice and obtain the results of 1 and 3 you will want to reroll the die with a value of 1 to try to get a higher value You do not need to roll again if your initial roll obtains a combined score of at least 6 Find the following a The probability that you succeed without needing to reroll the dice the odds that the values sum to at least 6 when you first roll both dice b In what scenario would you be unable to succeed after your first roll think what values must be present on both dice in which rerolling one of them will never allow them to sum to at least 6 What is the likelihood of this c You discover that one of the die is rigged and will always roll a 2 Given this information what is the chance of each of the following i You succeed in any given turn your chance to obtain a total score of 6 or greater given the initial rules ii After 5 tries you succeed at least 3 times iii You succeed exactly 5 times after 7 tries

Tammy got a new credit card with an APR of 21 a month ago and she just got her first credit card statement She charged a bracelet for 17 a purse for 36 and some sunglasses for 11 If her credit card charges interest on the previous monthly balance how much should Tammy pay now so that she doesn t have any interest charged to her on next month s statement A 64 OB 17 O C 11 OD 36

The length of a rectangle is 19 centimeters less than five times its width Its area is 30 square centimeters Find the dimensions of the rectangle The width is and the length is

The product of two consecutive room numbers is 306 Find the room numbers The number of the first room or the smaller room number is x 1

Part 4 Write a real world situation for each expression below be creative A b 12

has an APR of 19 calculated on the previous monthly balance and a minimum payment of 2 starting the month after the first purchase His credit card record for the last 7 months is shown in the table below End of month 1 234567 5 Previous balance 0 00 2400 00 2390 00 2380 04 2370 12 2360 25 2350 41 New charges 2400 00 OA 285 02 OB 47 01 C 59 38 OD 225 64 0 00 0 00 0 00 0 00 0 00 0 00 Payment received 0 00 48 00 47 80 47 60 47 40 47 20 47 01 Finance charges 0 00 38 00 37 84 37 68 37 53 37 37 37 21 Principal paid 0 00 10 00 9 96 9 92 9 88 9 83 9 79 New balance 2400 00 2390 00 2380 04 2370 12 2360 25 2350 41 2340 62 What is the total amount that Benjamin has made in payments over the 7 months

ou have noticed some variation in the amount of rice provided in your usual order of General so s Chicken You ask the store manager about this issue and they confirm that the reparation of your order isn t directly measured In each order you are supposed to be given cup of rice which should be 250 grams if measured exactly Based on data provided by the manager you find that the true amount of rice given follows a normal distribution with an verage of 252 grams and a standard deviation of 1 5 grams Given this information a How often will you receive less rice than you pay for less than 250 grams b If your rice container can only fit 256 grams how often will it overflow when your cook is filling it c If both these situations are considered as errors how many errors should you expect after ordering 10 times

Darnell s credit card has an APR of 19 calculated on the previous monthly balance and a minimum payment of 2 starting the month after the first purchase His credit card record for the last 7 months is shown in the table below End of month 1 234567 Previous balance O 0 00 800 00 796 67 793 35 790 04 786 75 783 47 A 9 B 21 C 79 New charges 800 00 D 19 0 00 0 00 0 00 0 00 0 00 0 00 Payment received 0 00 16 00 15 93 15 87 15 80 15 73 15 67 Finance charges 0 00 12 67 12 61 12 56 12 51 12 46 12 40 Principal paid 0 00 About what percentage of Darnell s payments so far have gone to paying interest 3 33 3 32 3 31 3 29 3 28 3 26 New balance 800 00 796 67 793 35 790 04 786 75 783 47 780 21

For each problem below the magnitude of the horizontal and vertical components of vector V are given In each case find the magnitude of V 27 Vx 30 V 40 29 Vx 35 0 V 26 0 31 Vx 4 5 V 3 8 28 V8 Vyl 6 30 Vx 45 0 V 15 0 32 Vx 2 2 V 5 8 33 Velocity A bullet is fired into the air with an initial velocity of 1 200 feet per second at an angle of 45 from the horizontal Find the magnitude of the horizontal and vertical components of the velocity vector 34 Velocity A bullet is fired into the air with an initial velocity of 1 800 feet per second at an angle of 60 from the horizontal Find the horizontal and vertical components of the velocity 35 Velocity Use the results of Problem 33 to find the horizontal distance traveled by the bullet in 3 seconds Neglect the resistance of air on the bullet 36 Velocity Use the results of Problem 34 to find the horizontal distance traveled by the bullet in 2 seconds 37 Velocity An arrow is shot into the air so that its horizontal velocity is 35 0 feet per second and its vertical velocity is 15 0 feet per second Find the velocity of the arrow

Dane s credit card has an APR of 16 calculated on the previous monthly balance His credit card record for the last 7 months is shown in the table below End of month 2 3 7 Previous balance 0 00 302 00 246 02 123 32 113 49 108 35 220 71 A 133 34 B 193 00 C 220 71 New charges 302 00 229 00 283 21 19 00 47 00 83 00 148 00 193 00 Payment received 0 00 289 01 144 98 58 47 89 65 37 09 133 34 Finance charges 0 00 4 03 3 28 1 64 1 51 1 44 2 94 Principal paid 0 00 284 98 141 70 56 83 88 14 35 65 130 40 New balance 302 00 246 02 123 32 113 49 On what amount of money will Dane be charged interest for month 8 108 35 220 71 283 31

25 to 69 beats per minute Let x be a random variable that represents the resting heart rate for an adult horse Assume that x has a distribution that is approximately normal USE SALT a The empirical rule indicates that for a symmetric and bell shaped distribution approximately 95 of the data lies within two standard deviations of the mean 95 20 Therefore a 95 range of data values extending from 4 20 to 20 is often used for commonly occurring data values Note that the interval from 20 to 20 is 40 in length This leads to a rule of thumb for estimating the standard deviation from a 95 range of data values 20 Estimating the standard deviation For a symmetric bell shaped distribution standard deviation range high value low value where it is estimated that about 95 of the commonly occurring data values fall into this range Use this rule of thumb to estimate the standard deviation of x distribution in beats per minute 11 beats per minute b What is the probability that the heart rate is less than 29 beats per minute Round your answer to four decimal places 0 0505 c What is the probability that the heart rate is greater than 61 beats per minute Round your answer to four decimal places 0 10156 d What is the probability that the heart rate is between 29 and 61 beats per minute Round your answer to four decimal places e A horse whose resting heart rate is in the upper 10 of the probability distribution of heart rates may have a secondary infection or illness that needs to be treated What is the heart rate corresponding to the upper 10 cutoff point of the probability distribution Round your answer to the nearest whole number

BONUS Bonus will be graded as noted in the rubric with the understanding that a student s grade cannot exceed 105 points Part 6 Bento boxes b are special boxed lunches in Japanese cuisine Sushi rolls r are also a popular lunch item usually made of rice seaweed vegetables and either raw or cooked fish Steven wants to buy 3 bento boxes b and 2 sushi rolls r A Write an expression that represents Steven s purchase B Each bento box is 10 yens and sushi rolls are 8 yens How much did Steven spend on his purchase Show your work

Evaluate each expression show your work A 2c 4 when c 3 B 3 t 8 when t 4 C 43 x 2 when x 5

percent relative uncertainty 9 2 10 4 x 5 4 0 3 10 absolute uncertainty ant relative uncerta Incorrect 5 6 0 1 10 Incorrect

Melvin has a balance of 5140 on a credit card with an APR of 17 6 Paying off his balance in which of these lengths of time will result in him paying the least amount of interest A 8 months OB 10 months C 6 months D 12 months

Quadrilateral EFGH is an isosceles trapezoid EG 7z 40 and FH 8z 54 What is the value of z F Submit D E H G Work it out

Sheila has a balance of 1190 on her credit card which she plans to pay by making a payment of the same amount each month Which of these monthly amounts will allow Sheila to pay off her balance the fastest A 25 OB 35 O C 30 OD 20

Solve 2ydx x ln y In x 5 dy 0

f x 6 3 2 using transformations Show the Vertical Asymptote and the y intercept 10pts Sketch

Required information Use the following information for the Quick Studies below Algo The following information applies to the questions displayed below Lawson Consulting had the following accounts and amounts on December 31 Cash Accounts receivable Equipment Accounts payable Common stock Assets Cash 7 500 Dividends 5 000 Services revenue 7 000 Rent expense Accounts receivable Equipment 3 450 Wages expense 15 050 QS 2 17 Algo Preparing a balance sheet LO P1 Use the above information to prepare a December 31 balance sheet for Lawson Consulting Hint The ending Retaine account balance as of December 31 is 1 000 Answer is not complete LAWSON CONSULTING Balance Sheet As of December 31 7 500 5 000 7 000 Liabilities Accounts payable 2 000 13 500 2 500 8 000 Equity Common stock Retained comien 3 450 3 450 15 050 1000

Generate at least two different dichotomous keys based on this data example figure No Mycobacterium No Gram stain Bacilli Motile Not cocci Yes Rhizobium Gram Positive Propionibaterium No Morphology Spirochetes Borrelia Green Yes Gloeocapsa Cocci Staphylococcus

balance His credit card record for the last 7 months is shown in the table below End of month 1 234567 Previous balance 0 00 47 00 186 07 0 00 28 57 107 38 74 33 New charges 47 00 182 00 34 00 98 00 101 00 21 00 99 00 OA 83 39 OB 74 43 OC 99 00 OD 91 98 Payment received 0 00 44 22 225 19 69 43 22 98 57 00 91 98 Finance charges 0 00 1 29 What is the new balance at the end of month 7 5 12 0 00 0 79 2 95 2 04 Principal paid 0 00 42 93 220 07 69 43 22 19 54 05 89 94 New balance 47 00 186 07 0 00 28 57 107 38 74 33

Listen ease explain what is occurring in a chemical reaction What are the names of th rting materials and end materials involved in any chemical reaction

Listen Please list describe the structure and provide and example for the three main subgroups of carbohydrates What is an isomer

Patrice s credit card has an APR of 11 calculated on the previous monthly balance and a minimum payment of 2 starting the month after the first purchase Her credit card record for the last 7 months is shown in the table below End of month 3 5 6 7 Previous balance 0 00 3900 00 3057 75 3815 96 3774 62 3733 73 3693 28 New charges 3900 00 30 00 A 208 77 B 40 01 C 455 51 D 246 73 50 00 30 00 50 00 50 00 50 00 Payment received 50 00 78 00 77 16 76 32 575 49 74 67 73 87 Finance charges 30 00 35 75 35 36 34 98 534 60 34 23 33 86 Principal paid 0 00 42 25 41 79 41 34 40 89 40 45 40 01 New balance 3900 00 3857 75 3815 96 3774 62 3733 73 3693 28 3653 27 How much of the 3900 charge that Patrice made during the first month has been paid off

Evaluate the following integral X 2 X 3 X x 3 dx dx

Question 39 Listen Please define natural selection and provide a detailed exam action I

Calculate the derivative of the following function y sin cos 5x dy dx 11 6 sin cos 2x cos 2x sin 2x

Calculate the derivative of the following function y e4x 2x 9 6 dy

BI 6 888 DOOM1111 PCR Amplification DNA extracted from tissue DNA fragments move across the gel DNA sample loaded into wells Electricity applied to the gel 5 7 Why is DNA fingerprinting called a fingerprint a All of a person s DNA is found in their fingers b A person s DNA fingerprint looks the same as a person s physical fingerprint C Everyone s fingerprints is unique just as everyone s DNA fingerprint is unique d The tool used to make a DNA fingerprint is called The DNA Fingerprint Machine c Separate the DNA pieces by size d Compare DNA fingerprints find a match 2 8 What is the first step to making a DNA fingerprint a Cut the DNA into different sized pieces using restriction enzymes b Obtain a sample of DNA and make copies c Separate the DNA pieces by size d Compare DNA fingerprints find a match 9 What is the second step to making a DNA fingerprint a Cut the DNA into different sized pieces using restriction enzymes b Obtain a sample of DNA and make copies

Abraham s credit card has an APR of 13 calcula balance and Abraham makes a payment of 50 every month His credit card record for the last 7 months is shown in the table below End of month 234567 Previous balance 0 00 41 00 220 44 243 83 219 47 316 85 603 28 New charges 41 00 229 00 71 00 A 2 39 B SO C 0 44 D 0 78 23 00 145 00 333 00 78 00 Payment received 0 00 50 00 50 00 50 00 50 00 50 00 50 00 What were the finance charges in month 2 Finance charges SO 00 2 39 2 64 2 38 3 43 6 54 Principal paid 0 00 49 56 47 61 47 36 47 62 46 57 43 46 New balance 41 00 220 44 243 83 219 47 316 85 603 28 637 82

For each problem below the magnitude of the horizontal and vertical components of vector V are given In each case find the magnitude of V 27 Vx 30 V 40 29 Vx 35 0 V 26 0 28 Vx 8 V 6 30 Vx 45 0 V 15 0

At the beginning of the day the sum of the stocks in the Dow Jones was 10 289 57 At the end of the day the sum of the stocks in the Dow Jones was 10 124 19 What was the rate of change of the Dow Jones on this particular day A 1 6 OB 1 2 C 1 8 D 1 0

1 2 Given the picture above what do we know about segment CD3

Each problem below refers to a vector V with magnitude V that forms an angle with the positive x axis In each case give the magnitude of the horizontal and vertical components of V 19 V 40 0 30 21 V 13 8 0 24 2 23 V 420 0 36 10 20 V 40 0 60 22 V 17 6 0 67 2 24 V 380 0 16 40

What is the name of the computerized system that provides price quotations for various stocks traded on the market A Nasdaq OB Dow Jones CNYSE

Suppose there is a simple index of three stocks stock ABC stock XYZ and stock QRS Stock ABC opens on day 1 with 4000 shares at 3 15 per share Stock XYZ opens on day 1 with 5000 shares at 4 30 per share Stock QRS opens on day 1 with 6000 shares at 4 60 per share The price of stock ABC on day 8 begins at 3 50 The price of stock XYZ on day 8 begins at 3 90 Stock QRS opens on day 8 with a price of 4 50 per share Assume that each stock has the same number of shares that it opened with on day 1 What is the rate of change of this simple index over 1 week A 1 9 B 2 0 OC 2 0 D 1 9

Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood Assume that x has a distribut that is approximately normal with mean 7 600 and estimated standard deviation 1 700 A test result of x 3 500 is an indication of leukopenia This indicates bone marrow depression that may be the result of a viral infection LUSE SALT a What is the probability that on a single test x is less than 3 500 Round your answer to four decimal places 0 0082 x b Suppose a doctor uses the average x for two tests taken about a week apart What can we say about the probability distribution of X The probability distribution of x is approximately normal with 7600 and 850 The probability distribution of x is not normal The probability distribution of x is approximately normal with 7600 and The probability distribution of x is approximately normal with 7600 and What is the probability of x 3 500 Round your answer to four decimal places 0 00794 X 1700 1202 0815 c Repeat part b for n 3 tests taken a week apart Round your answer to four decimal places

simultaneously function as a side show for white people who look on with delight at all the differences that surround them We may be on our way to genuine hybridity multiplicity without white hegemony and it may be where we want to get to but we aren t there yet and we won t get there until we see whiteness see its power its particularity and limitedness put it in its place and end its rule This is why studying whiteness matters It is studying whiteness qua whiteness Attention is sometimes paid to white ethnicity e g Alba 1990 but this always means an identity based on cultural origins such as British Italian or Polish or Catholic or Jewish or Polish American Irish American Catholic American and so on These however are variations on white ethnicity though some are more securely white than others and the examination of them tends to lead away from a consideration of whiteness itself John Ibson 1981 in a discussion of research on white US ethnicity concludes that being say Polish Catholic or Irish may not be as important to white Americans as some might wish But being white is This then is why it is important to come to see whiteness For those in power in the West as long as whiteness is felt to be the human condition then it alone both defines normality and fully inhabits it As I suggested in my opening paragraphs the equation of being white with being human secures a position of power White people have power and believe that they think feel and act like and for all people white people unable to see their particularity cannot take account of other people s white people create the dominant images of the world and don t quite see that they thus construct the world in their own image white people set standards of humanity by which they are bound to succeed and others bound to fail Most of this is not done deliberately and maliciously there are enormous variations of power amongst white people to do with class gender and other factors goodwill is not unheard of in white people s engagement with others White power nonetheless reproduces itself regardless of in tention power differences and goodwill and overwhelmingly because it is not seen as whiteness but as normal White people need to learn to see themselves as white to see their particularity In other words whiteness needs to be made strange NOTES 1 I use the terms race and racial in this opening section in the most com mon though problematic sense referring to supposedly visibly differentiable sup posedly discrete social groupings 2 In their discussion of the extraordinarily successful TV sitcom about a mid dle class African American family The Cosby Show Sut Jhally and Justin Lewis note eople who look on with We may be on our way egemony and it may be and we won t get there ity and limitedness put whiteness matters on is sometimes paid to means an identity based h or Catholic or Jewish rican and so on These some are more securely tends to lead away from 981 in a discussion of ing say Polish Catholic ans as some might wish whiteness For those in e the human condition abits it As I suggested in white with being human power and believe that te people unable to see people s white people on t quite see that they people set standards of id others bound to fail sly there are enormous with class gender and e people s engagement i itself regardless of in vhelmingly because it is le need to learn to see other words whiteness section in the most com visibly differentiable sup ITV sitcom about a mid illy and Justin Lewis note the way that viewers repeatedly recognise the characters blackness but also feel that you just think of them as people in other words that they don t only speak for their race Jhally and Lewis argue that this is achieved by the way the family conforms to the everyday generic world of white television 1992 100 an essen tially middle class world The family is ordinary despite being black because it is upwardly mobile it can be accepted as ordinary in a way that marginalises most actual African Americans If the realities of African American experience were in cluded then the characters would not be perceived as just people 3 See for instance Bogle 1973 Hartmann and Husband 1974 Troyna 1981 MacDonald 1983 Wilson and Guti rez 1985 van Dijk 1987 Jhally and Lewis 1992 58ff Ross 1995 The research findings are generally cast the other way round in terms of non white under representation textual marginalisation and positioning as deviant or a problem Recent research in the US does suggest that African Americans but not other racially marginalised groups have become more repre sented in the media even in excess of their proportion of the population However this number still falls off if one focuses on central characters 4 The Crying Game GB 1992 seems to me to be an example of this It ex plores with fascination and generosity the hybrid and fluid nature of identity gender race national belonging sexuality Yet all of this revolves around a be mused but ultimately unchallenged straight white man it reinscribes the post tion of those at the intersection of heterosexuality maleness and whiteness as that of the one group which does not need to be hybrid and fluid REFERENCES Alba Richard D 1990 Ethnic Identity The Transformation of White America New Haven Yale University Press Bogle Donald 1973 Toms Coons Mulattoes Mammies and Bucks An Interpretive History of Blacks in American Films New York Viking Press Carby Hazel V 1992 The Multicultural Wars in Dent Gina ed Black Popra lar Culture Seattle Bay Press 187 99 Dyer Richard 1993 Seen To Be Believed Problems in the Representation of Gay People as Typical in Dyer The Matter of Images Essays on Representations Lon don Routledge 19 51 Hartmann Paul and Husband Charles 1974 Racism and the Mass Media Lon don Davis Poynter hooks bell 1992 Madonna Plantation Mistress or Soul Sister and Repre sentations of Whiteness in the Black Imagination in Black Looks Race and Represen tation Boston South End Press 157 64 165 78 Ibson John 1981 Virgin Land or Virgin Mary Studying the Ethnicity of White Americans American Quarterly 33 3 284 308 Jhally Sut and Lewis Justin 1992 Enlightened Racism The Cosby Show Audi ences and the Myth of the American Dream Boulder Westview Press MacDonald J F 1983 Blacks and White TV Afro Americans in Television since 1948 Chicago Nelson Hall

For each transaction 1 analyze the transaction using the accounting equation 2 record the transaction in journal entry form and 3 post the entry using T accounts to represent ledger accounts Use the following partial chart of accounts account numbers in parentheses Cash 101 Accounts Receivable 106 Office Supplies 124 Trucks 153 Equipment 167 Accounts Payable 201 Unearned Landscaping Revenue 236 Common Stock 307 Dividends 319 Landscaping Revenue 403 Wages Expense 601 and Landscaping Expense 696 a On May 15 DeShawn Tyler opens a landscaping company called Elegant Lawns by investing 87 000 in cash along with equipment having a 47 000 value in exchange for common stock b On May 21 Elegant Lawns purchases office supplies on credit for 620 c On May 25 Elegant Lawns receives 9 500 cash for performing landscaping services d On May 30 Elegant Lawns receives 2 700 cash in advance of providing landscaping services to a customer Complete this question by entering your answers in the tabs below Analyze a General Journal For each of the above transaction analyze the transaction using the accounting equation Note Enter total amounts only b Assets T accounts Liabilities Equity

5 3 Suppose there is a simple index of three stocks Stock X opens the day with 2000 shares at 3 80 per share Stock Y the day with 1000 shares at 3 50 per share Stock Z opens the day with 3000 shares at 4 30 per share This simple index rises 5 4 over the course of th day What is the value of the index at the end of the day Round your answer to the nearest hundred OA 24 600 B 25 800 O OC 24 000 6er 200

Question 3 Which of the following gives the address pointed to by ptr Optr Optr O address ptr ptr

e From the zeros of the numerator and denominator of R x divide the x axis into intervals Determine where the graph of R is Above or Below the x axis by choosing a number in each interval and evaluating R there In short fill out the chart below and do an Interval Analysis as done in class 12 points Interval Number Chosen Value of f Location of graph Point on graph R x x 8x 12 X 9

What is the name of an investment that pools money from many investors in order to acquire a large variety of stocks bonds and other investments O A Annuity OB Derivative C Mutual fund

On a particular day the Dow Jones had a rate of change of 1 7 Which of the following statements must also be true A The Nasdaq increased B Every stock in the Dow Jones increased O C The S P 500 increased D The average of the 30 stocks in the Dow Jones increased

Draw vectors representing the course of a ship that travels 9 75 miles on a course with bearing 30 10 75 miles on a course with bearing 330 11 25 miles on a course with bearing 135 12 25 miles on a course with bearing 225 13 Heading A boat is crossing a river that runs due north The heading of the boat the direction the boat is pointed is due east and it is moving through the water at 12 0 miles per hour If the current of the river is a constant 3 miles per hour find the true course of the boat to three significant digits 14 Heading A boat is crossing a river that runs due east The heading of the boat is due south and its speed is 11 0 feet per second If the current of the river is 2 feet per second find the true course of the boat to three significant digits 15 Heading An airplane is headed N 30 0 E and is traveling at 200 miles per hour through the air The air currents are moving at a constant 30 miles per hour in the direction N 60 0 W Find the true course of the plane That is find its speed with respect to the ground in miles per hour and its direction with respect to the ground Use three significant digits

1 Analyze the following the polynomial f x x x 1 x 4 a Determine the degree of f x 2 points x x x 1 x u x4 x 1 x 4 x4 x x 4 X4x4x4 4 x x x 4 X5 4x4 x3 4x b What is the end behavior of f x 2 points 5 odd coet 1 Pos rise Answer c What are the zeros of f x and their multiplicities 2 points x x 1 x u 0 X 0 Multip 2 X multip 1 X UHP 1 x 4 Multip d What does each multiplicity of each zero found in c mean for the graph of f x 2 points x 41 0 x 4 0 Answer e What is the y intercept of f x 2 points Answer Answer 5 falls left fise fi x 0 12 x i ml X 1 MI X 4 MI

what did we learn about race socially constructed identity largely on someone s physical appearance Cphenotype Not genetic geography is Created to oppress people instead the western Concept of teac be understood a based 1 must a classification system the Spanish Colonial context 1493 1898 Enslavement of indigenous and African Origin people occurs accepting spanish rule meant that Indians because subordinate workers or slaves and probably lost their indigenous identities Valerio Jimenez 2012 18 Caste Sustem emerges racial mixing prevalent The British Anglo Colonial Context 1601 1997

Which of the following is the correct way to declare a pointer O int ptr O int ptr O Pointer ptr O All of the above is correct O none of the above is correct