Questions

26 Let X n Z n x y for some x y O where O is the set of all odd integers Let E be the set of even integers a Prove that X CE b Prove that ECX

Which of the statements is incorrect 1 Patients with Duchenne muscular dystrophy usually die in their 60s II Sleep is not affected in patients with fibromyalgia III Cerebral palsy is caused by lesions on or damage to the brain O Only I Only II Only III OI II and III

How many significant figures are in the measurement 56 0 mL O a 1 O b 2 O c 3 O d 4

5 An advertising company makes foam displays for local businesses The diagram below shows a mold for one of these displays 14 ft Rounded to the nearest whole number what is the volume of one foam display in cubic feet 7 ft

What values of a and b would make the function differentiable at the given value of x 6 f x ax x 4 x 2 bx 5 x 2 r 1

3 Determine if the functions are differentiable at the given x value prove continuity first and then prove differentiability If needed f x co 2x x 10 x 5 50 14x x 5 5x 2x 1 x 3

Use the table to find the value of the derivatives of each function IL X 7 h x 5f x g x f x 5 f x 3 g x 2 g x 3

f x x 3x 22 4x 10 3x 22 x 3 x 3

K The figure to the right shows two poles drawn with correct perspective relative to a single vanishing point As you can check the first pole is 2 units tall in the drawing and the second pole is 2 units away measured base to base with a height of 1 7 units Each tick represents 0 5 unit Complete parts a through c below a Draw two more vertical poles with correct perspective that are equally spaced along the baseline in the drawing Assume the poles are of equal height in the scene O A YYYK G OB rrrr O C XX SON O D 1

Spending time in the sun each day can improve humans health Sunlight helps fight certain conditions from osteoporosis weak bones and cancer to depression and heart attacks Strong Source Information and a Strong Reporting Verb Weak Source Information A Weak Reporting Verb No Source Information or Reporting Verb

1 f x 12e5x 7 cos x

Question 1 7 points When writing answers to a quiz a formal lab report or even a 5 paragraph essay it is important to use the traditional symbols and abbreviations On the HTML editor the box you type into there is a button with a plus sign Expand the downward facing chevron to the right of the plus sign to see the menu containing symbols emojis and other items Expand the downward facing chevron to the right of the U to see the menu containing the superscript or subscript font options For the items below provide the symbol 1 Degree 2 Micro 3 Alpha 4 Beta 5 Percent Retype these items using the superscript or subscript 6 H O 7 103 When we do labs or write papers in this class please be sure to use these types of symbols and font options

Annual sales in millions of dollars for 21 pharmaceutical companies follow 8 308 1 374 1 872 8 879 2 359 11 313 708 6 452 1 950 2 818 1 256 10 598 7 378 5 794 8 405 14 138 3 919 4 241 839 a Provide a five number summary in million dollars minimum million dollars million dollars million dollars million dollars million dollars first quartile median third quartile maximum 2 227 3 753 708 1914 5 3919 8 405 14 138 b Compute the lower and upper limits in million dollars lower limit 7821 X million dollars upper limit 17845 million dollars

The following is a sample contract for you to utilize for the first part of your paper assignment and plan to reach my goal of 1 agree to by In order to make my goals more attainable I have devised a list of short term goals Describe each goal in detail short term goal 1 short term goal 2 challenge 1 I will begin on witness name target date your signature target date target date short term goal 3 I have identified challenges to my behavior change and have developed the following strategies to overcome them Describe each challenge and strategy in detail date strategy 1 reward strategy 2 reward challenge 2 challenge 3 strategy 3 By signing this contract I have made a commitment to changing my behavior and I have had to witness my contract reward witness signature

a 5B 4B 2B 1p Copyright The McGraw Hill Companies Inc Permission required for reproduction or display 2p 3p 8B 7B H 6p 5p 6B 7B b Copyright The McGraw Hill Companies Inc Permission required for reproduction or display 1B 3B b 7B OF TH 4p 6B 5p 1p 5B 4B

40 00 35 28 Lebron received 55 800 of compensation from his employer and he received 635 of interest from a municipal bond What is the amount of Lebron s gross income from these items Multiple Choice 56 435 0 635 55 800 B

Question 2 How did the allelic frequencies change over the 10 generations modeled in response to natural selection Do you think the white allele could be eliminated from the population if the model had continued for 10 more generations Reference Graph 2 in your explanation 0 Word s IUE ET T B Question 3 A mutation occurs in a population of rabbits affecting ear length After multiple generations 30 of the population exhibit the new recessive phenotype for short ears Use the Hardy Weinberg equation to determine the genotypic frequencies of the rabbit population Show all work in your answer B J U E T T 0 Word s

17 Curtis invests 225 000 in a city of Athens bond that pays 4 25 percent interest Alternatively Curtis could have invested the 225 000 in a bond recently issued by Initech Incorporated that pays 5 50 percent interest with similar risk as the city of Athens bond Assume that Curtis s marginal tax rate is 24 percent If Curtis invested in the Initech Incorporated bonds what would be his after tax rate of return from this investment 00 59 09 Multiple Choice 2 66 percent 4 25 percent 4 18 percent 0 86 percent

25 00 58 20 Leonardo who is married but files separately earns 70 000 of taxable income He also has 19 200 in city of Tulsa bonds His wife Theresa earns 54 200 of taxable income How much money would Leonardo and Theresa save if they file jointly instead of separately for 2023 Use tax rate schedule Multiple Choice Nothing 223 20 668 85 10 660 00 Mens s

Find the volume of each of these cylinders Figures are not drawn to scale a Right circular cylinder b Oblique circular cylinder 26 m 4 m a The volume of the right circular cylinder is Round to the nearest integer as needed TELEF 8 ft

37 00 57 21 Leonardo who is married but files separately earns 81 600 of taxable income He also has 16 600 in city of Tulsa bonds His wife Theresa earns 51 600 of taxable income If Leonardo earned an additional 31 600 of taxable income this year what would be the marginal tax rate on the extra income for 2023 Use tax rate schedule Note Do not round intermediate calculations Round your final answer to two decimal places Multiple Choice O 22 00 percent 14 06 percent 24 00 percent 2313 percont

Decide whether the following statement makes sense or is clearly true or does not makes sense or is clearly false Explain your reasoning Susan found a sale on octagonal eight sided floor tiles so she bought them to tile her kitchen Assume she uses no other tiles on her floor Choose the correct answer below A The statement does make sense She can orientate the tiles in such a way that they can completely cover the floor B The statement does not make sense She cannot tile her floor completely unless a multiple of 8 tiles fits exactly across the floor of the kitchen C The statement does make sense She can tile her floor completely with only these tiles D The statement does not make sense She cannot tile her floor completely with only these tiles without leaving gaps around the edges

Work required Write v as a linear combination of u u2 and u3 if possible If not possible enter NS in each blank v 1 7 2 u 1 3 5 u 2 1 3 u3 3 2 4 v au bu2 cu3 where a b 9 and c

Until recently hamburgers at the city sports arena cost 3 20 each The food concessionaire sold an average of 18 000 hamburgers or game night When the price was raised to 3 70 hamburger sales dropped off to an average of 13 000 per night a Assuming a linear demand curve find the price of a hamburger that will maximize the nightly hamburger revenue b If the concessionaire had fixed costs of 1 500 per night and the variable cost is 0 50 per hamburger find the price of a hamburgem that will maximize the nightly hamburger profit COXING a Assuming a linear demand curve find the price of a hamburger that will maximize the nightly hamburger revenue The hamburger price that will maximize the nightly hamburger revenue is Round to the nearest cent as needed

P 10x 75y X 8y 24 X y 0

Work required Find the determinant 1 0 2 1 32 3 4 4

WA 6 Replication Crisis Write an essay on some aspect of the replication crisis Or write about a claim once widely accepted that is now disputed discredited or doubtful Cite your source

SLOPE Ins 25 p 5 29t MAKE g THE Ta Ticaloa SUBJECT

What is the additive inverse and the additive identity for the vector space V x y xeR y 0 Be sure you indicate which is which in your response or if the set does not contain the additive identity or inverse

Any line in the vector space R is a subspace of R O True O False

Work required Given u v and w are in V and s and t are real numbers Properties of Closure C1 u v is an object in V C2 sv is an object in V Determine if the set of all 2 x 2 matrices of the form The set Select Select multiplicis is not a is closed under addition and scalar multiplication b 2b closed under addition and Select closed under sc

Work required Find the determinant 0 2 C

A savings and loan association estimates that the amount of money on deposit will be 100 000 times the percentage rate of interest For instance a 3 interest rate will generate 300 000 in deposits Suppose the savings and loan association can loan all the money takes in at 10 interest What interest rate on deposits generates the greatest profit The interest rate on deposits that generates the greatest profit is Type a whole number

If A is a 3 x 3 matrix and det A 17 What is det 2A

Work required Use Cramer s Rule to find the solution to the system of linear equations 2x y 10 3x 2y 1

Is it true or false that if the coefficient matrix for a linear system has a determinant that is not equal to zero that

Decide whether the following statement makes sense or is clearly true or does not make sense or is clearly false Explain your reasoning The principal vanishing point of the painting is so far away that it cannot be seen in the painting Choose the correct answer below A The statement makes sense because the principal vanishing point draws the eye infinitely far into the depths of the painting B The statement does not make sense because the principal vanishing point draws the eye infinitely far into the depths of the painting C The statement does not make sense because the principal vanishing point is always part of the painting as that is what gives a painting perspective D The statement makes sense because the principal vanishing point is always part of the painting as that is what gives a painting perspective

Given A 1 2 2 3 0 1 1 2 2 2 Find the cofactor ca

8 Curtis invests 350 000 in a city of Athens bond that pays 5 percent interest Alternatively Curtis could have invested the 350 000 in a bond recently issued by Initech Incorporated that pays 8 percent interest with similar risk as the city of Athens bond Assume that Curtis s marginal tax rate is 24 percent How much implicit tax would Curtis pay on the city of Athens bond 01 57 34 Multiple Choice 17 500 00 1 138 00 1 038 00 10 500 00

3 Assume that John s marginal tax rate is 17 percent If a city of Austin bond pays 7 8 percent interest what interest rate would a corporate bond have to offer for John to be indifferent between the two bonds 01 58 51 Multiple Choice 22 10 percent 9 40 percent 7 80 percent 6 47 percent None of the choices are correct

7 Curtis invests 650 000 in a city of Athens bond that pays 8 75 percent interest Alternatively Curtis could have invested the 650 000 in a bond recently issued by Initech Incorporated that pays 10 00 percent interest with similar risk as the city of Athens bond Assume that Curtis s marginal tax rate is 24 percent How much explicit tax would Curtis incur on interest earned on the Initech Incorporated bond 01 57 49 Multiple Choice 49 800 00 15 600 00 13 650 00 42 525 00

a Locate a vanishing point for the drawing Is it the principal vanishing point Is it the principal vanishing point It is the principal vanishing point because the road lines are parallel to the ground plane horizon drawing plane ing point

21 01 42 21 Which of the following is a tax i A 1 percent special sales tax for funding local road construction ii A fee paid to the state for a license to practice as an attorney iii An income tax imposed by Philadelphia on persons working within the city limits iv A special property assessment for installing a new water system in the taxpayer s neighborhood Multiple Choice Only III is correct Only I is correct I and III are correct Only IV is correct

Some years ago it was estimated that the demand for steel approximately satisfied the equation p 164 20x and the total cost c producing x units of steel was C x 126 44x The quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars Determine the level of production and the corresponding price that maximize the profits The maximum profit occurs at x million tons GILB

05 A common income shifting strategy is to Multiple Choice O O O shift income from low tax rate taxpayers to high tax rate taxpayers shift deductions from low tax rate taxpayers to high tax rate taxpayers shift deductions from high tax rate taxpayers to low tax rate taxpayers accelerate tax deductions None of the choices are correct

The monthly demand equation for an electric utility company is estimated to be p 82 10 5 x where p is measured in dollars a x is measured in thousands of killowatt hours The utility has fixed costs of 4 000 000 per month and variable costs of 42 per 1000 kilowatt hours of electricity generated so the cost function is C x 4 106 42x a Find the value of x and the corresponding price for 1000 kilowatt hours that maximize the utility s profit b Suppose that the rising fuel costs increase the utility s variable costs from 42 to 52 so its new cost function is C x 4 106 52x Should the utility pass all this increase of 10 per thousand kilowatt hours on to the consumers a Find the value of x and the corresponding price for 1000 kilowatt hours that maximize the utility s profit X Type an integer or a decimal

The average ticket price for a concert at the opera house was 30 The average attendance was 3500 When the ticket price was raised to 34 attendance declined to an average of 3100 persons per performance What should the ticket price be to maximize revenue for the opera house Assume a linear demand curve CELEB To maximize revenue the price should be per ticket Type an integer or decimal rounded to two decimal places as needed Simplify your answer

5 Jackson has the choice to invest in city of Mitchell bonds or Sundial Incorporated corporate bonds that pay 7 4 percent interest Jackson is a single taxpayer who earns 70 000 annually Assume that the city of Mitchell bonds and the Sundial Incorporated bonds have similar risk What interest rate would the city of Mitchell have to pay in order to make Jackson indifferent between investing in the city of Mitchell and the Sundial Incorporated bonds for 2023 Use tax rate schedule 01 58 13 Multiple Choice 5 77 percent 7 40 percent 5 97 percent 5 17 percent None of the choices are correct

Leonardo who is married but files separately earns 60 500 of taxable income He also has 15 400 in city of Tulsa bonds His wife Theresa earns 50 400 of taxable income 10 If Leonardo and his wife are married filing jointly in 2023 what is Leonardo and Theresa s effective tax rate for 2023 Use tax rate schedule Note Round your final answer to two decimal places 01 57 03 Multiple Choice 12 00 percent 15 53 percent 17 83 percent 22 00 percent

Given the cost function C x 2x3 5x 11x 5 find the minimum marginal cost The minimum marginal cost is Do not round until the final answer Then round to two decimal places as needed