Math - Others Questions

5 2 point Let F be a smooth vector field with constant curl V x F a b c Let C and C 1 be unit circles in the z 1 and z 1 planes respectively oriented in the same direction See example here Show that F dr fr Hint connect the loops with a surface F dr

3 2 points Let 2 be the piece of the plane z y 1 inside the cylinder x y 1 oriented upward Hint use cylindrical coordinates to parameterize Compute each of the following a The surface area of N b The average value of g x y z z on n c The flux of F x y z yi zk through

9 Part 2 of 2 pints eBook Hint Print References The following information applies to the questions displayed below Megamart provides the following information on its two investment centers Average Assets 17 000 000 13 000 000 Investment Center Electronics Sporting goods Compute profit margin and investment turnover for each center Which center generates more income per dollar of sales Which center has the better investment turnover Profit Margin Complete this question by entering your answers in the tabs below Investment Turnover Sales 40 800 000 17 680 000 Numerator Compute investment turnover for each center Which center has the better investment turnover Sales Income 3 060 000 2 210 000 Investment Turnover Denominator Average assets Investment Center Electronics Sporting Goods Which center has the better investment turnover 1 Investment Turnover Electronics 0 0 Check

4 2 points Let S be the upper hemisphere x y 4 with z 20 Compute the flux of the vector field F x y z r 1 z through S toward the ori

Suppose another drug is administered intravenously The concentration c of the drug in mg L in the bloodstream t hours after it is administered is modeled by the function c t t 4 20t a Determine when the concentration will be 0 5 mg L b Complete the table representing the concentration of the drug in the bloodstream t hours after administration Round to two decimal places as needed 0 2 4 6 10 12 14 16 18 20 t c t c What is a reasonable domain for this function Justify your answer d When must the patient receive the next intravenous dose of the drug in order to maintain a concentration above 1 mg L and below 8 mg L Explain your reasoning e Compare the concentration of the oral drug 1 and the concentration of the intravenous drug 2 over the first 20 hours after it is given

Homework 11 Please give complete well written solutions to the following exercises and submit via Gradescope 1 2 points Consider the vector field F x y 2y x and the domain D x y R 0 x 1 x y x Let C be the counter clockwise oriented boundary of D Compute the integral F dr first directly i e using line integrals and then using Green s theorem 2 2 points Consider a conical paper cup with height h and radius R Parametrize it and compute its surface area 2 ways a as the graph of a function z f x y and b as a surface of revolution

8 Book Hint Print erences A manufacturer reports the data below Accounts payable Accounts receivable Inventory Net sales Cost of goods sold Required 1 Current Year 9 023 29 905 1 Compute the number of days in the cash conversion cycle for each year 2 Did the company manage cash more effectively in the current year Required 2 11 324 163 000 79 000 Complete this question by entering your answers in the tabs below Cash conversion cycle Prior Year 12 968 18 752 10 815 110 000 116 000 Compute the number of days in the cash conversion cycle for each year Note Use 365 days in a year Round calculations to the nearest whole day Current year days Prior year days

Solve the following trignometric equation analytically using identities if necessary for exact values if possible for values of x for 0 x 2 10 tan x 8 9 1 tan x C XE Type an exact answer using it as needed Use a comma to separate answers as needed Use integers or fractions for any numbers in the expression Simplify your ans

Find all solutions in the interval 0 2 2 sin 2x sinx cos x 0 GIZZB X Type an exact answer using a as needed Use a comma to separate answers as needed Use integers or fractions for any numbers in the expression

When estimating distances from a table of velocity data it is not necessary that the time intervals are equally spaced After a space ship is launched the following velocity data is obtained Use these data to estimate the height above the Earth s surface at 117 seconds t sec v ft s 0 110 374 462 1122 1320 lower estimate of distance traveled upper estimate of distance traveled 0 5 17 21 51 60 66 117 1602 3999 miles miles Report answers accurate to 1 places This is not meant to be a trick question be careful of the UNITS Question Help Message instruct

he accompanying data table contains chest deceleration measurements in g where g is the force of gravity from samples of small midsize and large cars Shown are the technology results for analysis of variance of this data table Assume that a researcher plans to use a 0 05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test Complete parts a and b below Click the icon to view the table of chest deceleration measurements Click the icon to view the table of analysis of variance results a What characteristic of the data specifically indicates that one way analysis of variance should be used OA The population means are approximately normal B The measurements are categorized according to the one characteristic of size OC There are three samples of measurements OD Nothing specifically indicates that one way analysis of variance should be used More Info SPSS Results Sum of Squares DOO DET df Mean Square 100 100 F 2 299 Sig 0 061 comme X More Info X

The accompanying table gives amounts of arsenic in samples of brown rice from three different states The amounts are in micrograms of arsenic and all samples have the same serving size The data are from the Food and Drug Administration Use a 0 05 significance level to test the claim that the three samples are from populations with the same mean Do the amounts of arsenic appear to be different i the different states Given that the amounts of arsenic in the samples from Texas have the highest mean can we conclude that brown rice from Texas poses the greatest health problem Click the icon to view the data What are the hypotheses for this test OA Ho H H2 3 H At least one of the means is different from the others B Ho At least one of the means is different from the others H H 3 OC Ho H1 H H3 H1 H H H3 OD Ho H H2 H3 H H H H3 nic Amounts X

Joan s Nursery specializes in custom designed landscaping for residential areas The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees shrubs and so on to be used for the project For cost estimating purposes managers use two hours of labor time for the planting of a medium sized tree Actual times from a sample of 10 plantings during the past month follow times in hours 1 8 1 5 2 6 2 1 2 4 2 3 2 6 3 0 1 4 2 3 With a 0 05 level of significance test to see whether the mean tree planting time differs from two hours a State the null and alternative hypotheses Ho 2 Hai 2 O Ho 2 Ha 2 Ho 2 H 2 Ho 2 H H 2 Hoi H2 H 4 2 b Compute the sample mean c Compute the sample standard deviation Round your answer to three decimal places d What is the test statistic Round your answer to three decimal places What is the p value Round your answer to four decimal places p value e What is your conclusion diffors from two hours There is no reason to change from the two hours for cost estimating purposes

Juniper Design Limited of Manchester England is a company specializing in providing design services to residential developers Last year the company had net operating income of 450 000 on sales of 1 100 000 The company s average operating assets for the year were 1 300 000 and its minimum required rate of return was 14 Required Compute the company s residual income for the year Residual income

Complete the table for a savings account in which interest is compounded continuously Round any dollar amount to the nearest cent and any other value to 4 decimal places Initial Investment 5000 Annual Rate 4 Time to Double yr Amount After 10 Years

Use PMT C 91 nt to determine the regular payment amount rounded to the nearest dollar The price of a small cabin is 40 000 The bank requires a 5 down payment The buyer is offered two mortgage options 20 year fixed at 6 5 or 30 year fixed at 6 5 Calculate the amount of interest paid for each option How much does the buyer save in interest with the 20 year option Find the monthly payment for the 20 year option Round to the nearest dollar as needed Find the monthly payment for the 30 year option Round to the nearest dollar as needed Calculate the total cost of interest for both mortgage options How much does the buyer save in interest with the 20 year option Use the answers from parts 1 and 2 to find this answer

The price of a home is 120 000 The bank requires a 10 d payment at the time of closing The mortgage on the house is 30 year fixed rate mortgage at 4 Use this information to fin the amount of the monthly payment Round your answer to th nearest cent Use the formula below to solve the problem PMT 810 55 418 97 710 89 P 1 1 x nxt

Bonus Question Dr Blue analyzed the effect of consequences on the likelihood of reporting unethical behavior Participants completed a questionnaire measure of their likelihood to report unethical behaviors depicted in a series of short videos A higher score in the questionnaire indicates a greater likelihood of reporting unethical behavior in which they received a reward for reporting unethical behavior punishment for not reporting unethical behavior or no consequences at all The researcher found that the type of consequence significantly affected the likelihood participants would report unethical behaviors The mean likelihood of reporting unethical behavior scores for the three consequence conditions are listed below Completely interpret these results based on the evidence provided below No calculations are necessary 2 pts Reward for Reporting 12 5 Punishment for Not Reporting 10 5 No Consequences 5 5

9 Part 2 of 2 2 points Megamart provides the following information on its two investment centers Income 3 060 000 2 210 000 Average Assets 17 000 000 13 000 000 Investment Center Electronics Sporting goods Compute profit margin and investment turnover for each center Which center generates more income per dollar of sales Which center has the better investment turnover Complete this question by entering your answers in the tabs below Profit Margin Sales 40 800 000 17 680 000 Investment Turnover Compute profit margin for each center Which center generates more net income per dollar of sales Investment Center Electronics Numerator Answer is complete but not entirely correct Income 3 000 000 Profit Margin Denominator l Average invested assets X Return to question Profit Margin

10 Part 1 of 2 2 points TUI CULTTUIVISION COmpute comp 1 return on investment 2 profit margin 3 investment turnover Complete this question by entering your answers in the tabs below Required 1 Required 2 Compute investment turnover Division Beverage Cheese Required 3 Numerator Operating income Answer is complete but not entirely correct Investment Turnover Denominator 1 X 7 400 X 13 600 X Average assets XX3 3 360 X 5 480 X Investment turnover 2 20 2 48 Return to quest

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells external hard drives The solid line represents the revenue function R x 45x the dashed line represents the cost function C x 10 000 25x a Use the formulas to write the company s profit function P from producing and selling x hard drives b Find the company s profit if 18 000 hard drives are produced and sold a The company s profit function is P x Simplify your answer b The company s profit from producing and selling 18 000 hard drives is S AY 40 000 30 000 20 000 10 000 0 0 Rix 45x Simplify your answer F Cx 10 000 25x X 200 400 600 800 Hard Drives Produced and Sold o Q Ty

According to the American Time Use Survey in 2005 17 5 of Americans aged 15 and older participated in sports exercise and recreation on an average day in 2014 19 1 participated on an average day Source U S Bureau of Labor Statistics Show all work to receive credit a Model this information with a linear equation b Use your model to estimate the percent of Americans aged 15 and older who will participate in these activities in 2024

At age 24 you start an IRA to save for retirement You deposit 325 at the end of each month If you can count on an APR of 5 compounded monthly how much total interest i will you have earned when you retire at age 68 Round your answer to the nearest dollar

You purchase a plot of land worth 58 000 to create a community garden To do so you secure a 10 year loan charging 5 11 APR compounded monthly and requiring monthly payments of 505 Assume the value of the land is still 58 000 Round each answer to the nearest dollar a Assuming that you put some money down what was your original loan amount in dollars b What is the outstanding balance in dollars on your loan after making 4 years of payments c How much equity in dollars do you have in the garden after 4 years

It takes 20 hours and 400 to interview a candidate and it takes 120 hours and 3600 to train an employee A company has less than 95000 to interview and train employees and it wants to spend at most 470 hours to do so Let C denote the number of candidates they interview and E the number of employees they train Write an inequality that represents the condition based on the number of dollars the company can spend Write an inequality that represents the condition based on the number of hours the company wants to spend

3 Find the length of segment Hint There is a right angle and Pythagorean Thm will be necessary a d 68 a 42 11 d b e e C 15 b 17 C 4 Find the measure of each angle a d a4 C d 75 b b e 10 cm 49 6 cin e 14 cm C

2 Determine if each of the following is a group a monoid that is not a group a semigroup that is not a monoid or not a semigroup Explain your answer for each one i Z addition on the set of positive integers ii Q subtraction on the set of rational numbers iii C32 addition on a 32 hour clock C 0 multiplication on a 15 hour clock with 0 removed

NE ii Compute y o z W Z W W x y 1 The multiplication table above is defined on the set S x y z w i Is S closed under Explain why or why not Z iii Does S have an identity with respect to o If so what is it If not explain why not iv Is S o a group If so write down the inverse of each element If not name th elements that are not invertible y Iso commutative in S Why or why not

Z W Z W W X X y y Z 1 The multiplication table above is defined on the set S x y z w i Is S closed under Explain why or why not O

A hot air balloon is floating above a straight road To calculate their height above the ground the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon The angles of depression are found to be 14 and 18 How high in feet is the ballon

What is the output 100 Points fruit banana print fruit 3 end print fruit 2 end print fruit 4 1 end print fruit 1 end

03 Question 6 points Although there are clear benefits to free trade governments impose tariffs to protect domestic industries The figure below illustrates the effects of a per unit tariff placed on shoes Without trade the equilibrium domestic price of a pair of shoes is 140 With free trade the domestic price of a pair of shoes falls to the world price of 100 If the government imposes a tariff of 20 the domestic price increases to 120 Use the information in the figure to answer the questions that follow 1st attempt Part 1 1 point When there is no tariff Part 2 1 point With the tariff Part 3 1 point Price PD 140 P 120 Pw 100 A 150 200 pairs of shoes are imported pairs of shoes are imported 350 400 Somestic only Swith tariff Domestic Ste rade Quantity shoes See Hint See Hint See Hint

The table below provides some trade data for the United States and Mexico Use the information in the table to answer the questions that follow All numbers are in billions of U S dollars Computers Financial services Education services Household appliances The U S trade balance in goods is equal to Part 2 1 point The U S trade balance in services is equal to S Part 3 1 point Exports to Mexico 100 40 30 100 billion billion Imports from Mexico 100 30 10 120 See Hint See Hint

A set of test scores is normally distributed with a mean of 100 and a standard deviation of 5 Use the 68 95 99 7 rule to find the percentage of scores in each of the following categories a Greater than 100 b Greater than 105 d Less than 110 f Less than 105 h Between 95 and 105 c Less than 95 e Less than 90 g Greater than 95 a The percentage of scores greater than 100 is 50 Round to one decimal place as needed b The percentage of scores greater than 105 is 16 Round to one decimal place as needed c The percentage of scores less than 95 is 16 Round to one decimal place as needed d The percentage of scores less than 110 is 97 5 Round to one decimal place as needed e The percentage of scores less than 90 is

Solve the triangle ABC if the triangle exists B 35 12 a 39 7 b 28 8 OA There is only 1 possible solution for the triangle The measurements for the remaining angles A and C and side c are as follows 0 mZA The length of side c 0 mZC Simplify your answer Round to the nearest degree as needed Round to the nearest minute as needed OB There are 2 possible solutions for the triangle Round to the nearest tenth as needed The measurements for the solution with the longer side c are as follows mZA mZC The length of side c Simplify your answer Round to the nearest degree as needed Round to the nearest minute as needed The measurements for the solution with the shorter m A O 0 mZC Simplify your answer Round to the nearest degree as needed Round to the nearest minute as needed OC There are no possible solutions for this triangle Round to the nearest tenth as needed side care as follows The length of side c Round to the nearest tenth as needed

15 Given a 3 b 5 and b 7 determine bl

The U S Fish and ife Service re ded the in 10 State Parks during the summer season last year 345 89 123 412 231 390 287 190 401 215 The mean of this data set is 268 needed The median of this data set is 28 needed Question 2 Low Lower Quartile Give the Five Number Summary for the number of Grizzly Bears in the previous question Median round to the nearest whole number as Upper Quartile round to the nearest whole number as 3 pts

The U S Fish and Wildlife Service recorded the number of Grizzly Bears observed in 10 State Parks during the summer season last year 345 89 123 412 231 390 287 190 401 215 The mean of this data set is needed The median of this data set is needed round to the nearest whole number as round to the nearest whole number as

solve a triangle SSS Click here to watch the video Solve the triangle if possible IRERI A 0 12 0 19 Find the measure of angle A Select the correct choice below and if necessary fill in the answer box to complete your choice 10 A A 27 36 Do not round until the final answer Then round to two decimal places as needed B There is no solution AB OA B Do not round until the final answer Then round to two decimal places as needed OB There is no solution Find the measure of angle B Select the correct choice below and if necessary fill in the answer box to complete your choice

19 cos 1020 20 tan 960

After recording the pizza delivery times for two different pizza shops you conclude that one pizza shop has a mean delivery time of 46 minutes with a standard deviation of 5 minutes The other shop has a mean delivery time of 42 minutes with a standard deviation of 19 minutes If you liked the pizzas from both shops equally well which one would you order from Why Choose the first shop The delivery time is more reliable because it has a lower standard deviation Choose the first shop The delivery time is more reliable because it has a lower mean Choose the second shop The delivery time is more reliable because it has a larger mean Choose the second shop The delivery time is more reliable because it has a larger standard deviation

Assume that a set of test scores is normally distributed with a mean of 78 and a standard deviation of 10 points On a separate piece of paper draw a normal distribution diagram and use the 68 95 99 7 Rule to find the percentage of test scores greater than 68 Select the correct answer below 84 50 34 16

According to a sleep foundation in 2013 a certain nation averaged 6 4 hours of sleep each weeknight In 1918 they averaged about 8 hours and 15 minutes of sleep per weeknight Model these data by a linear equation and use it to predict the year when the nation will not be sleeping at all on a weeknight CLE Model these data by a linear equation assuming that the initial year is t 0 y 0t 0 Round to four decimal places as needed Use the equation to predict the year when the nation will not be sleeping at all on a weeknight The nation will not be sleeping at all on a weeknight in the year Round to the nearest year as needed This question 1 point s possible

A set of test scores is normally distributed with a mean of 100 and a standard deviation of 5 Use the 68 95 99 7 rule to find the percentage of scores in each of the following categories a Greater than 100 b Greater than 105 c Less than 95 d Less than 110 e Less than 90 f Less than 105 g Greater than 95 h Between 95 and 105 a The percentage of scores greater than 100 is 50 Round to one decimal place as needed b The percentage of scores greater than 105 is Round to one decimal place as needed

The resting heart rates for a sample of individuals are normally distributed with a mean of 67 and a standard deviation of 9 Use the 68 95 99 7 rule to find the percentage of heart rates in each of t following categories a Greater than 76 c Less than 76 e Greater than 67 g Greater than 49 b Less than 49 d Less than 85 f Less than 58 h Between 58 and 85 a The percentage of heart rates greater than 76 is Round to one decimal place as needed

Give the Five Number Summary for the number of Grizzly Bears in the previous question Low Lower Quartile Median Upper Quartile High

The distribution of wages at a company is right skewed with outliers at high values Assuming you would like a high wage would you hope that your wage was closer to the mean median or mode The mean because the mean is greater than the median and mode when the distribution is right skewed The median because the median is greater than the mean and mode when the distribution is right skewed The mode because the mode is always higher than the mean and median

Sketch the region enclosed by the given curves x 2y x 4 y 3 y 3 7 2 1 y 2 6 8 Find the area of the region 1 2 3 6 8 X X 60 3 8 6 2 1 8 N 2 1 2 3 N 1 2 J 3 X X

Find the period in degrees Then sketch the graph using degrees 54 y tan 0 55 y sin 0 60 120 180 240 300 360 56 y cos 0 X 74 90 180 270 360 450 540 90 y cos 90 0 eo y COSO 1 A y 180 Y COS 18 1

Sketch the region enclosed by the given curves Decide whether to integrate with respect to x or y Draw a typical approximatin rectangle 12 10 8 6 4 1 1 2 4 y 2 2 4 Find the area of the region x 7 4 6 6 8 8 X X 2 4 6 8 10 12 y 3 6 6 8 8 X