Math - Others Questions

Which of these two analytically equivalent expressions is more prone to round off error if x is very small O 1 64 x 8 O 64 x 8 X both are the same

6 At a restaurant 4 hotdogs cost 68 64 and 5 hamburgers cost 86 00 Which food has the lower unit price

Use f x 3 2x g x x 7 and h x x 5x to find each function below Be sure to state any domain restrictions wherever necessary 34 8 f x 35 h f x 36 4

How many different sections and in what ranges of x would be needed to obtain functions for internal loads in the structure shown in the figure OA It needs 4 sections 0 to 2 2 to 5 5 to 8 and 8 to 10 OB It needs 5 sections 0 to 2 2 to 4 4 to 6 6 to 8 and 8 to 10 OC It needs 6 sections 0 to 2 2 to 4 4 to 5 5 to 6 6 to 8 and 8 to 10 Internal loads as functions of position Let s do a quick check how many different sections a what ranges of x would be needed to obtain functions internal loads in the structure shown below Please p your answer in PlayPosit A 2m IKN ZkN m 2m RISKU zm 3KN A It needs 4 sections 0 to 2 2 to 5 5 to 8 and 8 to 10 B It needs 5 sections 0 to 2 2 to 4 4 to 6 6 to 8 and 8 to 10 C it it needs 6 sections 0 to 3 20 nause it

890 400 89 400 8 094 x 10 8 94 x 105 19 The table represents the box office sales of the highest grossing movie in 2019 in various markets Write each number in standard form and in scientific notation

position Let s do a quick check how many different sections and in what ranges of x would be needed to obtain functions for internal loads in the structure shown below Please provide your answer in PlayPosit 2m 445 IKN 12m ZkN m bbbbb 2m 1 5KN A 2m lim 1m 3 KN A It needs 4 sections 0 to 2 2 to 5 5 to 8 and 8 to 10 B It needs 5 sections 0 to 2 2 to 4 4 to 6 6 to 8 and 8 to 10 C It It needs 6 sections 0 to 2 2 to 4 4 to 5 5 pause it and 8 to 10

23 f x 22 x 4 3 24 3 2 x x x 6 Domain Range x 1 3 if x l Topic 3 Piecewise Functions Identify the domain and range of each graph below State the location and type of any discontinuties Domain Discontinuities Domain if x 4 if 4 x 1 x int Extrema Graph the function below Identify the domain and range then state the location and type of any discontinuties Increasing Interval Decreasing Interval End Behavior 2x 1 Domain 28 f x Range Topic 4 Average Rate of Change Find the average rate of change of the function on the given interval 27 f x 2x 3x 1 3 2 Range y int x 3 Range Discontinuities Discontinuities 10 5

I Ginorme 0 05 per square inch 14 TT 196 TT The Ginorme costs approximately 0 05 for each square inch of pizza 1 Consider Lina s and Michael s work a Explain why Lina s and Michael s unit rates are different but still both correct b How would you decide which pizza was the better buy if yo calculated the unit rate for each pizza using Lina s method versus Michael s method

15 If the quadratic parent function is reflected 16 If the cube root parent function is in the y axis and vertically compressed by a factor of write an equation to represent the new function 17 The absolute value parent function has transformations applied such that it creates an absolute maximum at 2 7 Write an equation that could represent this new function 1 Describe all transformations from the parent function given the function below f x 3 12 x 7 3 x 4 horizontally stretched by a factor of 4 then translated 5 units right and 3 units up write an equation to represent the new function Graph each function and identify all key characteristics 2 f x 22 f x 2 x 3 4 A certain function is vertically stretched by a factor of 2 horizontally compressed by and translated down 6 The new function is represented by f x 618x1 2 Write the equation of the original function 20 Describe all transformations from the parent function given the function below f x x 5 2 Domain x int Extrema Increasing Interval Decreasing Interval End Behavior Domain x int Extrema Range y int Increasing Interval Decreasing Interval End Behavior Range y int

B Write It is the weekend Tell about your family s chores Look at 1B for help It is the weekend We are doing chores 1 I am 2 3 4 5 is is is and are

Suppose a new standard MAE384 12 is defined to store floating point numbers using 12 bits The first bit is used to store the sign as in IEEE 754 the next 6 bits store the exponent plus the appropriate bias and the remaining 5 bits store the mantissa As in IEEE 754 an exponent and mantissa of all zero bits is used to indicate true zero and an exponent of all one bits together with a mantissa of all zero bits is used to store infinity Determine by hand in decimal format a the bias for storing exponents in MAE384 12 b the smallest possible non zero positive number c the largest possible finite positive number d the smallest possible difference between 1 0 x 10 and the next larger possible number e the smallest possible difference between 7 0 x 10 and the next larger possible number Problem 5 required submission Handwritten or printed all steps to obtain the answers incl the final answers

a Develop a Matlab function decimal2binary that converts a decimal number z into a binary floating point number in engineering notation The function shall take as input the decimal number x and the number of bits to be used in the mantissa N excluding the hidden bit and shall output the vector m containing the N mantissa bits excluding the hidden bit the exponent p in decimal of the binary floating point number in engineering notation and the remainder r of the transformation Do not print out results to screen within the function b Using the function decimal2binary convert the decimal number 0 1 to a binary floating point number in engineering notation using 10 50 and 60 mantissa bits and report the remainders c Why does Matlab report the remainder as 0 when 60 mantissa bits are used even though infinitely many bits would be required to convert the decimal number 0 1 into a binary floating point number Problem 3 required submission Printout of well commented script you coded included in your Gradescope submission Binary floating point numbers in engineering notation and their remainders Handwritten or printed answer to c

Develop a Matlab function mySquares that calculates the first N squares As input the function shall take the positive integer number N and as output the function shall give a column vectory of length N containing y for i 1 N Function Code to call your function C Reset MATLAB Documentati C Res

By hand convert the decimal number 21 625 to a a binary number b a binary floating point number in engineering notation keep the exponent as a decimal numbe Problem 2 required submission Handwritten or printed all steps to obtain the answers incl the final answers

By hand convert the binary number 1001 010 into a decimal number Problem 1 required submission Handwritten or printed all steps to obtain the answers incl the final answers

Question 5 of 13 Calculate the average rate of change of the function f x 5x on the interval a a h assuming h 0 Simplify your answer completely Give your answer as a whole number average rate of change

5 a b c Calculate the average rate of change of f x on the interval a a h assuming h 0 Simplify as much as possible Then compute for a 7 and h 2 1 f x 2 5x f x x f x x 1 a 1 Conc 2031 Time hours

People drive on average 14 058 miles per year About how many miles each week is that Note There are 52 weeks in a year People drive about miles each week Type a whole number or decimal rounded to the nearest tenth as needed

Simplify 11 2 1 8 2 5 1 5 Select the correct choice below and if necessary fill in the answer box to complete your choic 11 2 1 8 2 5 1 5 OB The expression is undefined OA

Find the area of the geometric figure The prop

1 1 9 ale given x 2x 3 For questions 3 and 4 evaluate given g x 3x x 3g 2x 1 For questions 5 and 6 evaluate given h x 5 h 7 11 Square Root 71 x 1 12 Cube Root A g 3x Topic 2 Parent Functions Transformations and Graphing For each function family below give the parent function and sketch the shape of its graph 7 Linear 8 Absolute Value 9 Quadratic 10 Cubic 4x 7 if x 3 r 2x if x 3 6 h 3 13 Reciprocal 14 Greatest Integer

of 3 ok int ences Required information The following information applies to the questions displayed below The accounting records of Nettle Distribution show the following assets and liabilities as of December 31 for Year 1 and Year 2 December 31 Cash Accounts receivable Office supplies office equipment Trucks Building Land Accounts payable Note payable Year 1 43 421 23 570 3 718 114 130 44 661 Equity December 31 Year 1 0 0 61 965 0 Year 2 6 561 18 479 2 723 121 570 53 661 148 880 37 151 30 733 86 031 2 Compute net income for Year 2 by comparing total equity amounts for these two years and using the following information During Year 2 the owner invested 35 000 additional cash in the business in exchange for common stock and the company paid a 39 600 cash dividend

ts eBook Print eferences Karla Tanner opened a Web consulting business called Linkworks and completed the following transactions in its first month of operations April 1 Tanner invested 125 000 cash along with office equipment valued at 30 000 in the company in exchange for common stock April 2 April 3 April 6 April 9 April 13 April 19 The company prepaid 7 200 cash for 12 months rent for office space Hint Debit Prepaid Rent for 7 200 The company made credit purchases for 15 000 in office equipment and 3 000 in office supplies Payment is due within 10 days The company completed services for a client and immediately received 2 000 cash The company completed a 10 000 project for a client who must pay within 30 days The company paid 18 000 cash to settle the account payable created on April 3 The company paid 6 000 cash for the premium on a 12 month prepaid insurance policy Hint Debit Prepaid Insurance for 6 000 The company received 8 000 cash as partial payment for the work completed on April 9 April 22 April 25 The company completed work for another client for 2 640 on credit April 28 The company paid a 6 200 cash dividend April 29 The company purchased 1 000 of additional office supplies on credit April 30 The company paid 700 cash for this month s utility bill Required 1 Prepare general journal entries to record these transactions using the following titles Cash 101 Accounts Receivable 106 Office Supplies 124 Prepaid Insurance 128 Prepaid Rent 131 Office Equipment 163 Accounts Payable 201 Common Stock 307 Dividends 319 Services Revenue 403 and Utilities Expense 690 2 Post the journal entries from part 1 to the ledger accounts 3 Prepare a trial balance as of April 30 tion by entering your answers in the tabs below Check my

3 2 of 2 Book Print rences Yi Min started an engineering firm called Min Engineering He began operations and completed seven transactions in May which included his initial investment of 20 000 cash After those seven transactions the ledger included the following accounts with normal balances Cash Office supplies Prepaid insurance office equipment Accounts payable Common stock Dividends Services revenue Rent expense 43 909 1 130 4 400 12 600 12 600 20 000 3 081 40 000 7 480 The following seven transactions produced the account balances shown above a Y Min invested 20 000 cash in the business in exchange for common stock b Paid 7 480 cash for monthly rent expense for May c Paid 4 400 cash in advance for the annual insurance premium beginning the next period d Purchased office supplies for 1 130 cash e Purchased 12 600 of office equipment on credit with accounts payable f Received 40 000 cash for services provided in May g The company paid a 3 081 cash dividend Cash 2 Prepare a Cash T account for the above transactions and compute the ending Cash balance Code each entry with one of the transaction codes a through g Check

Uffice Equipment 163 Drafting Equipment 164 Building 170 Land 172 Accounts Payable 201 Notes Payable 01 Accounts Receivable 106 Prepaid 250 Common Stock 307 Dividends 319 Services Revenue 403 Wages Expense 601 Advertising Expense 603 and Repairs Expense 604 View transaction list Journal entry worksheet 1 2 3 Note Enter debits before credits Tranasaction a 4 5 J Aracel the owner invested 190 000 cash office equipment with a value of 7 000 and 65 000 of drafting equipment to launch the company in exchange for common stock 6 Account Title 7 8 17 Debit Credit Show less A

Directions Give the coordinates and classify the extrema for the graph of each function Use your graphing calculator to approximate if needed 11 f x 2x 4x 5 fix 12 f x x 6x 9x 5 5x

4 1 of 3 S eBook Print eferences The accounting records of Nettle Distribution show the following assets and liabilities as of December 31 for Year 1 and Year 2 December 31 Cash Accounts receivable Office supplies Office equipment Trucks Building Land Accounts payable Note payable Year 1 43 421 23 570 3 718 114 130 44 661 0 0 61 965 0 Balance Sheet Balance Sheet Year 1 Year 2 Year 2 6 561 18 479 2 723 121 570 53 661 148 880 37 151 30 733 86 031 Required 1 Prepare balance sheets for the business as of December 31 for Year 1 and for Year 2 Hint Report only total equity on the balance sheet and remember that total equity equals the difference between assets and liabilities Complete this question by entering your answers in the tabs below Prepare the balance sheet for the business as of December 31 for Year 1 Hint Report only total equity on the balance sheet and remember that total equity equals the difference between assets and liabilities NETTLE DISTRIBUTION Ch

10 8 6 4 2 2 4 6 8 10 A Zero 10 8 B Exactly one If a new graph of three linear equations is created using the system of equations shown and the equation x 4y 16 how many solutions x y will the resulting system of three equations have Exactly two 6 8 10 X

Question 9 Points 2 What musical structure governed composition of the twentieth century No single musical structure that governed compositions of the twentieth century The musical structure of the European Court governed compositions of the twentieth century The musical structure of Neoclassicism governed compositions of the twentieth century The musical structure of American jazz governed compositions of the twentieth century

ter to the following graph and information An ant is crawling on a straight wire The VELOCITY v t of the ant at time 0 t 8 is given in the graph at right Note The graph on 0 t 2 is a semicircle half circle A 4 T 2 O B 4 O c 4 O D 7 O E 3 5 3 5 6 What is the total distance traveled by the ant over the time interval 0 t 8 Click here for long description

For the position function s t 16t 108t complete the following table with the appropriate average velocities The make a conjecture about the value of the instantaneous velocity at t 1 1 1 5 Time Interval Average Velocity 1 2 Complete the following table Time Interval 1 2 1 1 5 Average 0 Velocity Type exact answers Type integers or decimals 1 1 1 1 1 1 1 1 01 1 1 01 1 1 001 1 1 001 7

Question 5 Points 1 What happened to tone color in the twentieth century Used decreased stringed instruments and rhythms Used decreased brass instruments and rhythms A Used increased percussion instruments and old melodies Used increased percussion instruments and rhythms

Question Which of the following is the set M for all the letters that make up the word MATHEMATICS Select the correct answer below M M T H C S M M A T H E I C S M M A T H E M A T I C S M A E I FEEDBACK MORE INSTRUCTION SUB

The Howards are saving up to go on a family vacation in 5 years They invest 2200 into an account with an annual interest rate of 1 42 compounded daily Answer the questions below Do not round any intermediate computations and round your final answers to the nearest cent If necessary refer to the list of financial formulas Assume there are 365 days in each year a Assuming no withdrawals are made how much money is in the Howards account after 5 years b How much interest is earned on the Howards investment after 5 years X

Let s do a quick check which way should the internal norma axial load jump when going from left to the right of the horizontal point load of 2000 N applied at point B as shown below Please provide your answer in PlayPosit A 2m B 2m C Fr 1080 N 2000 N A It jumps down from 2000 N to 1000 N B It jumps up from 2000 N to 3000 N C It jumps down from 3000 N to 1000 N D It jumps up from 1000 N to 3000 N

Question 8 of 16 DD Let f x 4x Macmillan Learning Simplify f x f a xa x a Express numbers in exact form Use symbolic notation and fractions where nee f x f a x a

Macmillan Learning Let f x 6x 5 Calculate f x h f x h 0 h Express numbers in exact form Use symbolic notation and fractions where ne f x h f x

The Jacksons are saving up to go on a family vacation in 3 years They invest 2800 into an account with an annual interest rate of 1 27 compounded quarterly Answer the questions below Do not round any intermediate computations and round your final answers to the nearest cent If necessary refer to the list of financial formulas a b Assuming no withdrawals are made how much money is in the Jacksons account after 3 years How much interest is earned on the Jacksons investment after 3 years 0 5 X S

Calculate the absolute pressure P of the manometer shown in the Figure in kPa The local atmospheric pressure is 758 mmHg 12 cm 5 cm Fluid A 10 kN m 30 cm Atmospheric pressure 15 cm Fluid B 8 kN m Problem 2 A pressure cooker cooks a lot faster than an ordinary pan by maintaining a higher pressure and temperature inside The lid of a pressure cooker is well sealed and steam can escape only through an opening in the middle of the lid A separate metal piece the petcock sits on top of this opening and prevents steam from escaping until the pressure force overcomes the weight of the petcock The periodic escape of the steam in this manner prevents any potentially dangerous pressure buildup and keeps the pressure inside at a constant value Determine the mass of the petcock of a pressure cooker whose operation pressure is 100 kPa gage and has an opening cross sectional area of 4 mm Express your answer in grams with three significant figures Assume an atmospheric atm 101 kPa Pressure cooker Petcock A 4 mm

roblem 2 The graph below represents the amount of water W in gallons in a small swimming pool after a certain number of hours t 1800 1600 1400 1200 1000 800 600 400 200 0 5 1 1 5 2 2 5 3 3 5 4 4 5 5 15 5 6 6 5 7 a Evaluate W 3 5 Interpret its meaning and include appropriate units b Determine the domain of the function W and explain what it represents 0 c Determine the range of the function W and explain what it represents d Compute the average rate of change of W t and the intervals 2 3 3 4 and 4 5 and interpret your answers Be sure to include appropriate units

13 Dimitri is buying a car He chooses Option 1 to add a new sound system to his car What integer represents the change from the base price of the car to its final price Used Car DEALER Price Sticker 20 Base Price 700 00 1 400 00 Markdown 1 100 00 Sale Opt 1

Option 2 The Bill of Rights is not only included with the United States Constitution but also state constitutions All states have provisions in their constitutions that protect individual rights Go online and look up your state constitution concerning amendments that are included in the Bill of Rights How does your state constitution protect your individual rights The NJ state constitution protects my individual rights by including the Bill of Rights in their constitution The NJ state constitution includes the first amendment addressing freedom of speech and religion in its first article I believe the NJ state constitution provided more detail on the meaning of freedom of speech and religious rights than the Bill of Rights The NJ state constitution explained there is no racial or religious qualification for public trust or office and that one religion is not more valuable than another NJ State Constitution 1947 I feel this provides more details to the citizens of NJ of the meaning of the First Amendment and protects citizens individual rights Our textbook explained how over time civil liberties have changed and how many of the freedoms we expect today are not explicitly spelled out there Greenberg Page 2018 p 432 The NJ State Constitution does have out of date provisions listed such as allowing the death penalty in certain circumstances NJ currently does not allow the death penalty while the Bill of Rights does not address the death penalty The Bill of Rights 1791 NJ State Constitution 1947 Understanding that state constitutions protect individual rights is essential The article State Constitutional Law The Future of Abortion Rights explained how advocates can use state constitutions to protect abortion rights in the absence of federal protections Wittbrod 2023 p 581 Being aware of our own state s constitution can protect citizens abortion rights being an example My state NJ protects my rights but providing more details about the First Amendment References The Bill of Rights 1791 National Archives https www archives gov files legislative resources education bill of rights images handout insary

Ali a college freshman is deciding on classes for his first term He can choose to take some or none of the six classes from the list below He can t take all of them Astronomy Biology Chemistry Dance Economics Geography In how many different ways can Ali choose the classes to take The order of the classes chosen doesn t matter

Determining the nu Ivan got a train ticket valid for the five cities listed below He can choose to visit some or all of these cities He must visit at least one of them Amsterdam Brussels Lille Paris Rotterdam In how many different ways can Ivan choose the cities to visit The order of the cities chosen doesn t matter X S

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2 What article and section s of the Constitution prove the founding fathers intended to limit the power of government by ensuring citizens have a role in electing those who govern them

for each problem document all steps you took to solve the problem This can be handwritten but must be legible for credit If the problem states By hand do not use any program function to solve the problem however you may use a non programmable calculator to help in determining the numerical results of individual steps submit to Gradescope the requested Gradescope portions listed under each problem on Gradescope associate select your answer pages with the corresponding problem numbers Failure to do so may result in no points given initially and will require a re grade request to fix If the problem header contains MatlabGrader you must submit your solution to Matlab Grader using the Course Navigation Bar Link Matlab Grader Homework F23 Problem 1 MatlabGrader Develop a Matlab function mySquarea that calculates the first N squares As input the function shall take the positive integer number N and as output the function shall give a column vector y of length N containing y 1 for i 1 N Problem I required submission Well commented function source code submitted to Matlab Grader Problem 2 MatlabGrader Gradescope Write a script that generates a plot of the first 20 squares vs i Use your function from problem 1 to generate the data to plot Notes for the MatlabGrader script submission Comment out clear or clear all in your script when submitting to Matlab Grader Generate and store the figure handle examFig1 for the graph before doing any plotting commands using examFigl figure 1 Properly label both axis using the appropriate variable names i e i y Do not include the source code for mySquares in your submission A correct version is used automatically on Matlab Grader Problem 2 required submission Well commented script source code submitted to Matlab Grader Printout of well commented script you coded included in your Gradescope submission

Construct a Venn diagram illustrating the sets below U 1 2 3 4 5 6 7 8 9 W 2 4 6 9 Y 1 3 4 5 9 Z 1 4 6 8 1 2 3 5 7 9 4 6 8 U W Z Y

Sets A B and Care subsets of the universal set U These sets are defined as follows U 1 2 3 4 5 6 7 8 9 A 1 2 4 7 B 2 3 7 8 C 4 6 7 8 9 Find AUB n C Write your answer in roster form or as AUB D C

Problem 1 The height of a projectile h is a function of the time t it is in the air The height in feet for t seconds is given by the function h t a What is the domain of the function b What does the domain mean in the context of the problems c Suppose h 2 7 3 interpret the meaning of that statement in the context of the problem and include appropriate units