Mathematical Reasoning Questions and Answers

Function Calls Edit the given code to match the screenshot below Note the volume of track 1 has been set to a gain of 6 1 from earsketch import 2 3 4 5 6 7 8 init setTempo 135 Your code goes here finish 0 00 0 07 e Edit in EarSke

Exercise 4 4 3 Try to come up with a plan similar but not the same to that from Example 4 2 2 for how I might send a set of vectors v v2 CV R to a set of vectors w W2 CR Note the dimensions go from 2 to 3 Once you i 2 12 1 feel confident about your plan try it for v W A and W

1 Match the Vocabulary word with the definition below 18 pts 1 Payroll Taxes V 2 FICA tax V 3 Taxes V 7 7 7 4 Tax Revenue 7 5 Property Taxes 6 Income Tax 7 Withholding 8 Internal Revenue Service 9 Medicare Tar a Federal Insurance Contribution Act that funds social security and Medicare b FICA tax Medicare tax federal income tax state income tax and other local taxes are all part of a specific tax c Government income that they get from taxes d This is money that is withheld from your paycheck by your employer and given to the government to use e The federal bureau that is in charge of collecting income tax and processing tax returns f You pay these taxes if you own a home boat car ATV etc g Taxes that you pay based on your salary hourly wage tips or interest h Payments to governments that are then used for public goods and services i A certain percentage is taken out of your income and is used to fund this program

does the inverse of the matrix ur answer is input Yes or No if your answer is yes write the estion Help Video 1 Vic Submit Question

Write the system of equations 2x 2y 8 6x y 4 E Solution Enter the solution as an order value

Write the system of equations as 2m 4n 6b 3m 7n 56 7b Question Help Message inst

additional DVD player sold the profit in dollars increases by this much but since it is negative it means that the company needs to decrease the number of DVD players sold in order to make a profit Nice e Find C 350 C 350 5 945 Interpret C 350 When this many DVD players are produced the cost is 350 For every additional DVD player produced the cost increases by this much For each 1 increase in cost this many more DVD players can be produced This is the cost in dollars of producing 350 DVD players Good work Find R 350 R 350 6475 x Nice Find P 350 P 350 530 Interpret R 350 This is the revenue in dollars generated from the sale of 350 DVD players For every additional DVD player produced the revenue generated increases by this much When this many DVD players are produced the revenue generated is 350 For each 1 increase in revenue this many more DVD players can be produced x Good work Interpret P 350 O This is the profit in dollars when 350 DVD players are sold but since it is negative it means that the company loses money when 350 DVD players are sold This is the profit in dollars when 350 DVD players are sold and since it is positive it means that the company makes money when 300 DVD players are sold For each additional DVD player sold the profit in dollars increases by this much but since it is negative it means that the company needs to decrease the number of DVD players sold in order to make a profit For each additional DVD player sold the profit in dollars increases by this much but since it is positive it means that the company is producing too many DVD players Amazing job f Find the marginal profit MP MP 6 x Write a sentence that explains its meaning O Each additional DVD player sold increases the profit by this many dollars When costs are decreased by this much the profit is increased by 1 When revenue is increased by this

6 Read the Baby Teresa Case under modules What do you think the right course of action is in this case Give your reasons Is your reasoning more Utilitarian of Kantian

2 67 WP The refrigerator shown in Fig P2 67 steadily receives a power input of 0 15 kW while rejecting energy by heat transfer to the surroundings at a rate of 0 6 kW Determine the rate at which energy FIGURE P2 67 out 0 6 kW W 0 15 kW is removed by heat transfer from the refrigerated space in kW and

A college radio station surveyed 662 incoming freshmen to see how many like rap music how many like jazz music and how many like classical music The Venn diagram below shows the results Each number gives the number of freshmen who fall into that Venn diagram category All freshmen in the survey Like jazz 67 Like rap 143 46 109 41 freshmen 72 131 Like classical 53 a How many of the freshmen like rap 0 b How many of the freshmen like neither rap nor classical freshmen c How many of the freshmen like both jazz and classical but don t like rap X

Complete the row of each truth table Use T for true and F for false P q T LL F r 0 9 0 q r T p q r 0 X

Was dropping the atomic bombs the right choice for America For humanity Why or why not

234kc 1 How were the Japanese carriers impacted by this battle 2 Why is this battle significant to the War in the Pacific 3 What new weapon are the Japanese using Iwo Jima FILM CLIP DETAILS Letters from Iwo Jima Marines Landing on the Beach First Battle Scene 3 18 https www youtube com watch v RpWLhBPVFBk2 41 1 What occurred with the U S flag on Iwo Jima 2 How close is Iwo Jima to Japan 3 What was this battle like for the Americans

Leonardo Pisano Bigollo known commonly as Fibonacci was born in Pisa around 1170 AD He is best known for the Fibonacci sequence 1 1 2 3 5 8 13 21 which starts with 1 and 1 and then each subsequent term of the sequence is the sum of the preceding two terms 1 Can we write a formula for the general term un of the Fibonacci sequence 2 Can the Fibonacci sequence be written using a formula which connects successive terms of the sequence 3 Where do we see the Fibonacci sequence in nature 4a Calculate the ratio of consecutive terms of the Fibonacci sequence and so on Where appropriate round your answers to 5 decimal places b What do you notice about the values in a Research the golden ratio and its connection with the Fibonacci sequence

Determine Meaning What does the underlined pronoun refer to in this excerpt and what effect does this usage have on Rousseau s message What we have just said confirms that the depositaries of people who are entrusted with the executive power are not the people s masters but its officers that it can set them up and pull them down when it likes Type your answer here

Find the weight using the greedy algorithm Choose A A 55 45 34 29 29 23 50 B 43 75 21 26 D

4 World record hammer throws The graph plots the sequence of the world record distances for the women s hammer throw by year t a Explain what it would mean for this sporting event if the sequence does not have a limit as t b Do you think this sequence is convergent or divergent Explain 78 76 74 72 70 68 66 meters 1994 1998 2002 2006 2010

The specific gravity of a material is 9 3 What are its specific weight in Sl units Answer Choose Choose kN m 3

A pair of points is graphed y 4 0 a Find the distance between them 1 b Find the midpoint of the segment that joins them x y X

A ball is projected upward with an initial speed of approximately 30 m s The diagram at the right represents its position at 1 second intervals of time At what location will the ball be moving downward with a speed of approximately 10 m s C

If a box with a square cross section is to be sent by a delivery service there are restrictions on its size such that its volume is given by V x 54 2x where x is the length of each side of the cross section in inches a Is Va function of x Yes V is a function of x No V is not a function of x b If V V x find V 15 and V 19 If V is not a function of x enter DNE V 15 V 19 c What restrictions must be placed on x the domain so that the problem makes physical sense Enter your answer using interval notation If V is not a function of x enter DNE

A student is trying to locate the position 10 10 on a computer screen Which of the following would best describe where this position would be found CSTACD L3A 8 top left of the screen top right of the screen bottom right of the screen bottom left of the screen 4 O O O D center of the screen I don t know

uppose ou bought a put option with a strike price of 120 and paid 10 for it What is your payoff if the stock trading at expiration

The Red Badge of Courage is representative of different literary movements Which details from the text reflect the naturalist perspective Select the two correct answers The faces of the men too showed a lack of a certain feeling of responsibility for being there It was as if they had been driven D Heroes he thought could find excuses in that long seething lane They could retire with perfect self respect and make excuses to the stars On the contrary he had fled as fast as his legs could carry him and he was but an ordinary squirrel too doubtless no philosopher of his race He had of course dreamed of battles all his life of vague and bloody conflicts that had thrilled him with their sweep and fire

Write the system of equations associated with the augmented matrix Do not solve 10 HA O A OB O C O D x 9 y 4 x 9 y 4 x 0 y 0 x 1 y 1

Find the future value of the annuity due 1500 deposited at the beginning of each year for 11 years at 8 compounded annually OA 26 965 69 B 42 218 23 C 20 229 84 D 23 468 23

A used car dealer gets complaints about his cars as shown in the table Number of complaints per day 0 1 2 3 4 5 6 Probability 0 02 0 07 0 13 0 27 0 31 0 1 0 1 Find the expected number of complaints per day The expected number of complaints per day is

What should go in the green box A 3 5 a sin b cos 3 LO 5 4 Enter a b c or d c tan d all of the above A

Consider a company with earnings before interest and taxes EBIT of 493 000 tax rate of 14 depreciation and amortization expenses of 66 000 capital expenditures of 74 000 acquisition expenses of 36 000 and change in working capital of 37 000 How much is it free cash flow during that period Round to the nearest cent Hint Here each item needed to calculate FCFF is given individually So we need to use Equation 4 7 Check out Example 4 4

Let f R R be defined by f x y x x y xy y a Which obvious symmetry property does f have What can you conclude from this about the graph and the contours of f b Determine all critical points of f and their types Hint There are 5 critical points c Does f have a global extremum d Determine the extrema of f on the unit square Q x y R 0 x y 1

Q 13 The value of cot 25 cot 1 2k A 12 13 B 13 12 C 25 26 D 26 29 is

matrix A 2 Let matrix A 5 1 1 4 3 0 3 2 1 Show Transcribed Text Determine the value of C such

Multiply both sides of each equation by a common denominator to eliminate the fractions Then solve the system 7x 7y 2 3 x y 4 3 140 3 14 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution is B There are infinitely many solutions Type an ordered pair

Consider a weekly annuity for 6 years How many cash flows will there be in total

Find the sum of 2 8 162 13122 discrete functions Show all steps

led up with waiting in line at his local post office and writes his congresswoman with his complaint She stubbornly responds that unless he can demonstrate that the mean waiting time at his branch is greater than 13 minutes which is the threshold set for her district there is nothing she can do to help him Over the course of the next few months Archie records the waiting times for each of a random selection of 27 post office visits made by him and other customers These waiting times in minutes are summarized in the following histogram Frequency 10 8 6 4 2 0 2 minut 0 6 6 ITE 9 14 20 7 13 Waiting time in minutes 3 21 27 28 34 Based on the histogram using the midpoint of each data class estimate the mean waiting time for Archie s sample Carry your intermediate computations to at least four decimal places and round your answer to one decimal place

Here are the scores of 13 students on a geography test 59 61 67 69 69 70 71 75 79 81 81 86 87 Notice that the scores are ordered from least to greatest Give the five number summary and the interquartile range for the data set Five number summary Minimum 0 Lower quartile Median Upper quartile 0 Maximum 0 Interquartile range

The following are ages of 17 of the signers of the Declaration of Independence 30 34 27 52 63 50 70 46 39 63 31 44 35 45 69 38 42 Send data to calculator Find 40th and 75th percentiles for these ages a The 40th percentile b The 75th percentile

An athlete eats 55 g of protein per day while training How much protein will she eat during 25 days of training Write your answer in kilograms kg X Conversion facts for mass 1000 milligrams mg 1 gram g 1 kilogram kg 1000 grams g

Find the area of this triangle 32 ft A ft 22 ft

The three vertices of a triangle are as follows 4 5 4 3 and 2 3 Give the length of the longest side

Living Colour Co has a project available with the following cash flows Year Cash Flow 0 32 030 1 8 540 2 10 330 3 14 890 4 16 370 11 480 5 If the required return for the project is 9 8 percent what is the project s NPV 15 188 73 16 023 28 O 29 580 00 O 6 827 03

15 You read in the newspaper that 77 of the population are opposed to replacing 1 bills with 1 coins You decide to test this claim You select 80 people and find that 55 are opposed to replacing the 1 bills Test the claim using a 0 01

marks 1 Identify the Step 1 Step 2 Step 3 7 3 Step 4 21 6 14 7 27 21 marks marks Step 5 error in Mani s proof that 275 3 3 7 3 7 2 1 6 7 2 1 6 Answer your 2 Consider the following arguments For each argument decide whether the argument is valid invalid Justify your reasoning a Everyone who drives at 90 km h is breaking the law Kailey is breaking the law So Kailey must be driving at 90 km h Answer b If Isabelle washes her mom s car she will be paid 5 00 per hour Isabelle washes her mom s car for 2 h so she gets paid 10 00 Answer

Find the face value of the zero coupon bond 12 year bond at 5 7 price 13 000 The face value will be Do not round until the final answer Then rour

Consider the special case of a zero coupon bond a bond with 0 coupon rate If the bond makes a single payment of face par value of 1000 in period five at maturity what is the yield to maturity on the bond if it is trading at a price of 900 enter your answer rounded to two decimal places for example an answer of 5 32 should be entered as 05

Consider the following traffic flow diagram and use it to answer questions 1 2 3 4 and 5 150 A 1 1 300 B 1 1 300 C 1000 1000 300 DY G O A 26 000 a 27 B E X2 1 In the augmented matrix of the system of linear equations that describes this traffic flow diagram what is the line that represents the flow of traffic through intersection D FL D 300

Let p and q represent the following simple statements. p: I work hard. q: I get a raise. Write the following compound statement in symbolic form. I do not get a raise if and only if I do not work hard. The compound statement written in symbolic form is

Write the compound statement in symbolic form. Assign letters to simple statements that are not negated and show grouping symbols in symbolic statements. Passing a road test and a written exam is necessary for each potential truck driver or potential driver. Let p represent the simple statement "Pass a road test," q represent "Pass a written exam," r represent "a potential truck driver" and s represent "a potential driver." The compound statement written in symbolic form is

A ball is thrown straight up. When it reaches its highest point, a second ball is thrown at the same speed. The balls will meet... A. at the halfway point B. above the halfway point C. below the halfway point