Linear Algebra Questions and Answers

ns Use long division or synthetic division to factor each polynomial completely with the given factor Then give the zeros of the function 1 f x x 5x 12x 36 x 2 2 f x x 7x 25x 175 x 7 3 f x 6x 25x 29x 20 2x 1 4 f x 3x 7x 25x 63x 18 x 2 Directions Divide using long division or synthetic division 5 x x 9x 44 x 4 6 4x 3x 20x 20 4x 3

Find a unit vector u in the direction opposite of 3 9 9 u 3 9 9

Results for this submission Entered 0 229416 0 688247 0 688247 The answer above is NOT correct u Find a unit vector u in the direction opposite of 3 9 9 171 Answer Preview 171 9 171 171 9 171 Result incorrect Message The first coordinate is incorm The second coordinate is inca The third coordinate is incor

1 point Find the angle between the vectors a 7i j 4k and b 2i j 1k Answer in radians 0

Find two unit vectors orthogonal to a 3 4 3 and b 5 0 5 Enter your answer so that the first vector has a positive first coordinate First Vector Second Vector

assign7 Problem 14 1 point Find the lengths of the sides of the triangle with the vertices A 2 1 4 B 0 2 8 and C 4 3 7 1 AB 2 AC 3 BC 4 Is AABC an isosceles triangle Note In order to get credit for this problem all answers must be correct Preview My Answers Submit Answers

Suppose you own a toy company Toy trains sell for 9 20 and toy ponies sell for 5 20 Perhaps you are going to package up the trains and ponies and ship them to a store in your own car You know you can fit no more than 87 toys in your car With these constraints can you take enough toys to the store to sell at least 900 worth O yes O no

Find a unit vector u in the direction opposite of 3 9 9

1 point Given the matrix a 9 87 A a 4 4 8 2 a find all values of a that make A 0 Give your answer as a comma separated list Values of a 1

assign7 Problem 5 1 point Determine whether the three points P 1 4 6 Q 2 2 3 R 3 2 0 are collinear by computing the distances between pairs of points Distance from P to Q Distance from Q to R Distance from P to R Are the three points collinear y n Note You can earn partial credit

1 point Find a b if a 3 4 4 and b 0 5 1 a b Is the angle between the vectors acute obtuse or right

18 Anthropologists who study human remains have developed equations for estimating the height of a person from a measure of her or his function bones The height in centimetres is af of the length 1 centimetres of the humerus the upper arm bone For a female f 1 2 7541 71 475 For a male m 1 2 8941 70 641 a Determine each value What does each number represent i f 15 angol b Determine each value of 1 What does each number represent DE i f 1 142 ii m l c Measure the length of your humerus Use an equation to estimate your height How close TALOG ii m 20 G 194 21 and perim length Care Fore aba coll an

In ANOP T is the centroid If TQ 6 find PT Q N R T S P

A company produces and sells 57 760 boxes of canned beans each year Each production run has a fixed cost of 400 and an additional cost of 10 per box of canned beans To store a box for a full year costs 5 What is the optimal number of production runs the company should make each year Do not include units with your answer

a b c def 1 ghi a 4g 6h 24h c Mi

2 Suppose that the mean time to download the home page for the Internal Revenue Service is 1 2 seconds and standard deviation of 4 what is the probability of 1 a less than 2 seconds 2 b between 1 5 and 2 5 seconds 3 c above 1 8 seconds 4 d 99 if the download times are slower higher than how many seconds 5 e 95 of the download times are between what two values symmetrically distributed around the mean

3x b Is y e x y e 2x y e x e 2x a fundamental solution set for this differential equation Answer yes or no and justify your answer

2 10 a Show that y c e x c e 2x is a solution to the differential equation y y 6y 0 b Is y e x y e 2x y3 e x e x a fundamental solution set for this differential equation Answer yes or no and justify your answer

2 For each function i a Find the axis of symmetry Find the optimal value ii y 3x 12x 11 b y 4x 10x 3

c y 5 x 3 x 7 d y x 2 x 10

Verify the identity algebraically Use the table feature of a graphing utility to check your result numerically 2 sec y 2 cot y 2 Use the Cofunction and Pythagorean Identities and then simplify Simplify your answer completely 2 sec y 2 cot y 2 sec y 2 Need Help Submit Answer Read It ARPRECALCRMRP7 5 2 046 Need Help Read It Watch It 6 1 Points DETAILS Verify the identity algebraically Use a graphing utility to check your result graphically 7 sin x 7 cos x 7 cot x 7 csc x sin x 7 csc x csc x sin x Expand the expression and then use the Reciprocal Identities to simplify Simplify your answers completely 7 csc x csc x sin x 7 sin x 7 cos x 7 cot x 7 csc x sin x sin x LARPRECALCRMRP7 5 2 050 sin x 7 csc 2 x 7 7 7 cot x 7 cot x

The following bar graph compares women s and men s hourly wages in a recent year Percentage Earning Less than 7 50 per Hour Age 25 and older 20 to 24 16 to 19 Q Men Women 0 2 4 6 8 10 12 14 What percent of women ages 20 to 24 earned 7 50 or less per hour Read the graph to find the percentage of women ages 20 24 who earned less than 7 50 Type an integer or decimal rounded to the nearest tenth as needed

Find the mean median and mode for the following distribution 4 9 10 9 3 8 11 13 11 14 What problem solving method should be used OA The Order Principle B The Splitting Hairs Principle OC Be Systematic D Guessing is OK Find the mean Select the correct choice below and fill in any answer boxes in your choice OA The mean is Type an integer or decimal rounded to one decimal place as needed OB There is no mean for these data

List all the ways to select two different members from S without repetition The order in which members are selected is important For example AB is not the same selection as BA S L M N P Q RIZA Identify the list of all the ways to select two members from S Choose the correct answer below A LM LN LP LQ MN MP MQ NP NQ PQ O B LL LM LN LP LQ MM MN MP MQ NN NP NQ PP PQ QQ OC LN LP LQ MN MP MQ NP NQ OD LM LN LP LQ ML MN MP MQ NL NM NP NQ PL PM PN PQ QL QM QN QP

A typical bingo card is shown on the right The numbers 1 15 are found under the letter B 16 30 under the letter I 31 45 under the letter N 46 60 under the letter G and 61 75 under the letter O The center space on the card is labeled FREE The total number of different bingo cards is represented below P 15 5 xP 15 5 xP 15 4 xP 15 5 xP 15 5 Why is the number of different bingo cards possible not P 75 24 Choose the correct answer below B 5 7 2 11 9 OA Although there are numbers chosen from a set of 75 there are 25 locations on the bingo card OB Although 24 numbers are chosen from a set of 75 not every number can be used in every position OC The bingo card should use combinations or C 75 24 OD Since the FREE square cannot be moved the number of different bingo cards possible cannot be represented by either permutations or combinations 28 17 29 N 33 22 FREE 30 41 44 38 G 51 59 48 46 52 75 63 61 72 68

How many different two digit numbers can be formed using the digits 6 8 3 4 and 5 with repetition For example 66 is allowed The number of different two digit numbers is

An office machine is purchased for 7900 Assume that its salvage value V in dollars depreciates according to a method called double declining balance by 20 each year and is given by V t 7900 0 80 where t is the time in years after purchase a Find V 7 and explain its meaning b Find V 7 and explain its meaning c When will the salvage value of the office machine be half of the purchase price a V 7 Round to the nearest cent as needed

Farmers wishing to avoid the use of purchased seeds are increasingly concerned about inadvertently growing hybrid plants as a result of pollen drifting from nearby farms Assuming that these farmers raise their own seeds the fractional portion of their crop that remains free on hybrid plants t years later can be approximated by P t 0 98 a Using this model predict the fractional portion of the crop that will be free of hybrid plants 5 yr after a neighboring farm begins to use purchased seeds b Find P 5 and explain its meaning d When will half of the crop be hybrid plants a After 5 yr of the crop will be free of hybrid plants Round to the nearest integer as needed

1 Give the definition of velocity 7 of a mass point with mass m at position and time t in direction x zonal direction in cartesian coordinate system and zonal direction in geographic coordinate system

Company Schubert Inc Chapman Inc Rust Inc Murphy Co Pickman Inc 12 58 11 65 10 15 Coupon Maturity Last Price 8 13 01 01 2026 9 63 01 01 2046 4 50 5 38 01 01 2021 7 75 01 01 2026 12 05 01 01 2021 Which bond is trading at a premium Murphy Co 82 25 80 48 95 18 101 02 93 11 Last Yield If Chapman Inc wants to issue new 30 year bonds today what coupon rate would the bonds have to pay to be issued at par 11 11 12 05 5 62 5 14 EST Spread UST Years 6 20 7 15 1 37 0 89 3 89 10 30 5 5 10 EST Volume 1000s 72 070 65 275 59 277 57 465 56 305

Water cannot be streamed outside of the fountain area When you have your final design you will need to create a google folder that has the following 1 A sheet that has the pattern in which your fountain will go along with the equation to get it there Example Step 1 J to B 20 32x 16x Step 2 B to A 2 Labeled screenshots of every equation with graph you use to get from one spot to the next The best tool to use is Desmos for this You will lose points if they are not labeled in some way for me to know which step the graph is associated with 3 An image of your pool that shows your path and shows where you placed your fountain

10 5 pts Consider two functions f x and g x Let g x 2f x 3 4 Fill in the blanks with the appropriate numbers To graph g x you take graph of f x and shift it units to the left followed by a concluding with a vertical shift vertical stretch by a factor of units down

Question Discuss the implications of the Covid 19 pandemic on global logistics and supply chain management How have companies adapted their logistics strategies to deal with disruptions and ensure the continuity of supply chain operations Provide examples and suggest further improvements that can be implemented to fortify logistics against future global disruptions

Do NOT evaluate coefficients Find the form for a particular solution to y 2y 3y f t where f t equals 1 7 cos 3t 2 2tet sint 3 t cos t 4 5e 3t 5 3tet 6 t2 et

Q12 Write 2 T 11 IIK 1 21 as a single summation or product k k Q13 Find the sum of 4 42 43 420

A moment in my life that I learned a lesson about myself is when I had to handle a stressful situations thinking I wasn t strong enough to Handel it My mom got very sick I had to learn how to talk to my family prioritize my tasks and ask for help from friends I overcame many difficulties and challenging situations every day as I developed into a trustworthy provider for my family I ve gained the virtue of resilience from my experiences I realized that strength encompasses not only physical prowess but also emotional resilience I became more adept at managing stress learned how to support people who were having difficulty and ultimately developed a greater confidence in my capacity to face obstacles in life My ability to stay positive despite what appeared to be my weak points was proven by this experience

38 A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three The vet surveys 120 three year old pit bulls and finds 30 of them have tooth decay The vet then surveys 160 three year old golden retrievers and finds 32 of them have tooth decay Number the population of pit bulls and golden retrievers by 1 and 2 respectively Calculate a 90 confidence interval for the difference in the population proportion of pit bulls and golden retrievers that have tooth decay Which of the following is correct Multiple Choice 0 0492 0 1492 0 0332 0 1332 0 0428 0 0572 00199 008011

A cellular phone company currently has three towers one in Tampa one in Orlando and one in Gainesville to serve the central Florida region If Orlando is 80 miles east of Tampa and Gainesville is 100 miles north of Tampa what is the distance from Orlando to Gainesville The same cellular phone company has decided to add towers at each halfway between cities How many miles from Tampa is each halfway tower

ose that the weight in pounds of an airplane is a linear function of the total amount of fuel in gallons in its tank When graphed the function gives a slope of 6 4 See the figure below 50 gallons of fuel in its tank the airplane has a weight of 2220 pounds What is the weight of the plane with 20 gallons of fuel in its tank Airplane weight in pounds 2220 50 Amount of fuel in gallons pounds X

Exercise 1 6 Find a b and c so that the system x ay cz 0 bx cy 3z 1 ax 2y bz 5 has the solution x 3 y 1 z 2

UREMENT AND MATTER Counting significant digits when measurements are multiplied Multiply or divide the following measurements Be sure each answer you enter contains the correct number of significant digits 7 8084 cm x 3 2 cm 9021 m 0 69 s 608 22 m 0 77 s cm 0 0 X 5

Which of the following are equivalent to the proposition p q pr Select all that apply OA p q Vr OB p q r OC p V q r OD p q OE p qVr

8 1 point In y mx b the letter b is THEEEEEE

5 Emma hits a golf ball off a tee The height of the ball is given by y 0 01x 0 5x 0 2 where y is the vertical height in yards above the ground and x is the horizontal distance from the tee in yards Round all answers to one decimal place a How far does Emma hit the golf ball

1 12 4 K This question 1 point s possible A group of 10 musical notes is made into a 10 tone musical phrase consisting of 10 different notes How many different phrases are possible to construct There are Question 9 of 24 different phrases possible to construct CIB

K Specify the number of ways to perform the task described Give your answers using P n r or C n r notation On a biology quiz a student must match fifteen terms with their definitions Assume that the same term cannot be used twice The number of ways to perform the task is Do not evaluate

3 2 points Let f x y 1 a Find a direction u such that Duf 0 1 0 b At which point s x y is the function s direction of greatest growth parallel the line y x

Question 15 If f x z z 1 simplify each of the following f a h f x h f z

Question 13 Let f z 4x 3 and g z 2z 3z After simplifying fg z Question Helps Vidon

You deposit 400 in your savings account for a year By the end of the year the value of your deposit increases to 415 What interest rate is your bank paying on the savings account Choose one A 4 00 B 0 04 OC 4 00 D 0 25