Math - Others Questions

Complete the table and predict the limit if it exists Round your answers to three decimal places If the limit is infinite enter o or as appropriate If the limit does not otherwise exist enter DNE f x 5 9 lim f x X 6 5 99 5 999 6 001 6 01 6 1 54 3x x x 6 f x

First Order ODE General Solution Initial Value Problem Solve the initial value problem y y tan x sin 2x y 0 1

nd the first second and third quartiles for the sales amounts in the data provided and interpret the results Click the icon to view the data e first quartile is meaning that of the sales amounts are less than this value ound to two decimal places as needed 2 East 3 West 4 North 5 West 6 South 7 West 8 East 9 West 10 West 11 South 12 South 13 East 14 North 15 East 16 West 17 West 18 West 19 West 20 West 21 West 22 North 23 West 24 South 25 West 26 West 27 West 28 West 29 South 30 East Paypal Credit Credit Paypal Credit Paypal Credit Credit Paypal Paypal Paypal Credit Paypal Credit Credit Paypal Credit Paypal Credit Credit Paypal Credit Credit Credit Paypal Credit Credit Credit Paypal Sourc 93816545 Web 74083490 Web 64942368 Web 70560957 Email 35208817 Web 20978903 Email 80103311 Web 14132683 Web 40128225 Web 49073721 Web 57398827 Email 34400661 Web 54242587 Web 62597750 Web 51555882 Web 54332964 Web 26623353 Email 78594431 Web 89385348 Web 69868417 Web 59660276 Email 25456590 Web 93283893 Email 45991123 Web 79121745 Email 80685117 Email 56686474 Web 25270813 Web 59736137 Web Amount Product 20 55 DVD 17 24 DVD 24 29 DVD 23 93 Book 15 45 Book 18 26 DVD 178 25 Book 20 41 Book 16 83 DVD 24 76 DVD 22 48 Book 19 97 Book 21 31 DVD 164 03 Book 20 44 DVD 24 09 DVD 18 45 Book 19 64 Book 18 55 DVD 17 63 DVD 18 69 Book 217 41 Book 16 38 Book 19 11 DVD 22 22 DVD 23 56 DVD 15 33 DVD 20 02 Book 17 52 DVD Time of Day 22 19 13 27 14 27 15 38 15 21 13 11 21 59 4 04 19 35 13 26 14 17 1 01 10 04 9 09 5 05 20 29 15 03 18 54 20 00 12 37 5 05 20 42 10 12 16 27 20 22 19 58 19 44 19 28 15 48

State the linear programming problem A breed of cattle needs at least 10 grams of protein and at least 9 grams of fat per day These nutrients come from food A and food B Food A provides 5 grams of protein and 2 grams of fat and costs 3 per unit Food B provides 2 grams of protein and 4 grams of fat and costs 2 per unit How much of each food must be bought to obtain the minimum cost per serving Let x be the amount of food A needed and y be the amount of food B needed O Minimize z 2x 3y subject to 5x 2y 10 2x 4y 29 x 20 y 20 Minimize z 3x 2y subject to 5x 2y 10 2x 4y 9 x20 y 20 O Minimize z 3x 2y subject to 2x 4y 10 5x 2y 29 x 20 y 20 O Minimize z 3x 2y Subject to 5x 2y 10 2x 4y z 9 x 20 y20

Use a Pivot Table to construct a cross tabulation for Marital Status and Housing Type for the data provided Click the icon to view the Marital Status and Housing Type data Complete the cross tabulation for Marital Status vs Housing Type Type whole numbers Marital Status vs Housing Type Column Labels Own Count Row Labels Other Divorced Married Single 10 Grand Total 14 4 10 22 11 43 76 Rent 12 2 14 Grand Total 38 13 53 104 4 Divorced 5 Single 6 Single 7 Divorced 8 Single 9 Married 10 Married 11 Divorced 12 Divorced 13 Single 14 Single 15 Divorced 16 Single 17 Divorced 18 Single 19 Single 20 Divorced 21 Divorced 22 Single 23 Single 24 Divorced 25 Divorced 26 Single 27 Divorced 28 Divorced 29 Married 30 Single 31 Divorced 32 Divorced 33 Single 34 Divorced 35 Married 36 Single 37 Single 38 Single 39 Single 40 Married Rent Own Own Rent Own Own Rent Own Own Own Own Own Other Own Other Own Rent Own Own Own Own Rent Own Other Own Own Own Own Own Own Rent Own Own Own Own Own Own 2 31 4 1 2 1 2 4 4 2 4 1 4 3 2 4 2 2 1 4 4 4 4 4 1 1 4 1 2 2 3 3 1 2 2 4

Write the system of equations only Do not solve An investment firm recommends that a client invest in bonds rated AAA A and B The average yield on AAA bonds is 4 on A bonds 8 and on B bonds 12 The client wants to invest twice as much in A bonds as in B bonds How much should be invested in each type of bond if the total investment is 24 000 and the investor wants an annual return of 1740 on the three investments Let x be the number of AAA bonds y the number of A bonds and z the number of B bonds Ox y z 24 000 4x 8y 12z 174 000 y 2z 0 Ox y z 24 000 4x 8y 12z 17 400 y 2z 0 O x y z 24 000 4x 8y 12z 174 000 2y z 0 O x y z 24 000 4x 8y 12z 174 000 x 2z 0

Read the feasible maximum solution using the given final simplex table X1 X2 s1 s2 3 z 1 1 1 0 0 0 12 30 2 1 0 0 20 1 0 2 0 1 0 18 2 0 3 0 0 1 32 O x1 0 x2 12 S 20 S2 0 3 18 z 32 O x1 0 X2 12 S 0 2 20 S53 18 z 32 O x 12 x2 0 0 2 32 S3 18 z 20 O x 18 X2 0 1 0 S2 20 3 12 z 32

Find the maximum value of the objective function z The corner points of the bounded feasible region are 3 0 and 0 0 0 4 O Maximum value of z is 55 3 Maximum value of z is 24 58 Maximum value of z is 3 O Maximum value of z is 16 5 10 3 3 3x 4y

7 42 1 5 Wis 1 5 a The zeros of f x are x separate by commas and Find the following information pertaining to the polynomial f x graphed above the zero x multiplicity the zero x multiplicity the zero x multiplicity the zero x multiplicity and the zero x has has has has LTE has multiplicity b The degree of f x is c The leading coefficient of f x is 5

1 point Consider f x x 6x 27x x 8x 19x 12 Give the root s of f x as a comma separated list Give the values where f x has hole s as a comma separated list Give the values where f x has vertical asymptotes as a comma separated list f x has a horizontal asymptote at y

beams Sketch the loadings that act along the joists AG and BF in the figure below a 8 0ft b 30ft dow Areyna Lapds Later Mode A Fige QPC3 34 06 206 mg 8212 by Pravin Laucation be Haptad G

7 Determine the missing side length of each triangle using SOH CAH TOA a b G 1 X 7 641 7 361 291 12 X 23 8 The angle of elevation to the top of a post from a point on level ground 38 m away is 33 Find the height of the post

5 Solve for the missing side lengths using the Pythagorean Theorem a b X A 5 13 6 For the following diagrams calculate the length of AB A 6 m 3 m X 9 m B 16 8

A car rental agency rents 190 cars per day at a rate of 20 per day For each 1 increase in rate 5 fewer cars are rented At what rate should the cars be rented to produce the maximum income What is the maximum income The rental agency will earn a maximum income of when it charges per day

raw BMD of the following bending member by referring SFD Specify the maximum bending moment of the member 14 kN A A 2 m 15 kN X 2 m 14 kN 04 PROB 15 Copyright 2015 rearson Efication allognes Reserved 1 kN 4 m 13 kN 20 kN m B

b Sketch SFD and BMD of the beam Specify the maximum bending moment of the member A 500 lb C 200 lb 6 ft 4 ft4 ft Figure 04 P21 B D 6 ft 300 lb 2 ft E

A ship was sighted from a lighthouse on a foggy night When the ship was first sighted the bearing of the ship was N 15 E The ship then sailed for 8 9 miles due south The new bearing was N 29 E Find the distance between the ship and the lighthouse at each location The ship was first sighted at miles from the lighthouse Round to one decimal place as needed The new location of the ship was in SCEN miles from the lighthouse pooded

The rectangular equation for r 11 is x y 121 Type an equation Choose the correct graph of the rectangular equation below O A 5 5 X Q O B X X O D

6 Write an equation for the function that results from the given transformations APP The function f x x4 is compressed vertically by a factor of stretched horizontally by a factor of 2 reflected horizontally in the y axis and translated 1 unit up and 4 units to the left

Write the following complex number in rectangular form 4 4 3 3 4 COS isin 4 4 COS isin 3 0 1 Simplify your answer Type an exact answer using radicals as needed Use integers or fractions for any numbers in the expression Type your answer in the fo Rationalize all denominators

Write the following complex number in rectangular form 8 cos 240 i sin 240 The rectangular form of 8 cos 240 isin 240 is Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators Type your answer in

The sound produced by touching each button on a touch tone phone is described by the equation below where I and h are the low and high frequencies in the figure shown The touch tone phone sequence for Mary Had A Little Lamb is 3212333 222 399 3212333322321 Many numbers do not appear in this sequence including 0 You accidentally touch 0 for one of the notes y sin 2 lt sin 2sht t is time in seconds a Enter the sound produced as the sum of sines AY ABO N EMA 200 WUS UNO S EG 697 770 852 941 Low frequencies High 1209 1336 1477 frequencies

The equation x 3 3x 2 4 models the volume of a shipping container where x is the width Graph the equation to find the width of the box

Use the drop down menus to identify the voice of each underlined verb Families reunite to eat a special New Year s Eve dinner Places are laid for family members who are absent Special foods that symbolize good luck are served Many people serve rice cakes called nian gao

3 Determine the polynomial function whose graph passes through the following points 2 4 3 6 5 10

2 Find the solution set of the following system of linear equations represented by the augmented matrix 1 1 0 3 01 2 1 0 0 1 1

Which of the following is the integral calculation in the interval 0 2 1 4 using the Gregory Newton forward interpolation relation X 0 0 2 0 4 0 6 0 8 1 1 2 1 4 f x 0 0 92 1 36 0 84 1 12 5 11 28 20 44 8y 1 2 82y 0 92 0 44 0 52 1 96 3 88 6 28 9 16 0 48 0 96 1 44 1 92 2 4 2 88 8 y 1 2 0 48 0 2 7 0 24 5 0 92 44 91 0 48 51 04 0 48 0 48 0 48 0 48 0 48 0 2 6 0 92 18 0 44 27 0 96 24 0 48 0 2 7 0 92 24 5 0 44 44 91 0 96 51 04 0 48 0 2 6 0 18 0 92 27 0 48 24 0 48 64 y 0 0 0 0

Solve the following system of equations x y z 0 x 2y z 6 2x z 5 z

Integer Encoding Convert the given expressions to 4 bit decimal 4 bit binary 6 bit decimal and 6 bit binary Use C convention for type casting Example Expression x 8 Example solution 4 bit decimal 8 4 bit binary 1000 6 bit decimal 8 6 bit binary 11 1000 a x 5 b x 15 c x 16 d x 37

a Let char x 15 evaluate the expression x b Let char x 15 evaluate the expression x 1 c Let char x 5 evaluate the expression x 2 d Let char x 5 evaluate the expression x 1 1

Rewrite the following system of equations in matrix form and solve it using X A 1b x 2y 5 2x y 6

Use a PivotTable to construct a cross tabulation for Marital Status and Housing Type for the data provided Click the icon to view the Marital Status and Housing Type data Complete the cross tabulation for Marital Status vs Housing Type Type whole numbers Marital Status vs Housing Type Column Labels Own Count Row Labels Other Divorced Married Single Grand Total CO Rent Grand Total 3 Single 4 Divorced 5 Single 6 Single 7 Divorced 8 Single 9 Married 10 Married 11 Divorced 12 Divorced 13 Single 14 Single 15 Divorced 16 Single 17 Divorced 18 Single 19 Single 20 Divorced 21 Divorced 22 Single 23 Single 24 Divorced 25 Divorced 26 Single 27 Divorced 28 Divorced 29 Married 30 Single 31 Divorced 32 Divorced 33 Single 34 Divorced 35 Married 36 Single 37 Single 38 Single 39 Single Other Rent Own Own Rent Own Own Rent Own Own Own Own Own Other Own lother Own Rent Own Own Own Own Rent Own Other Own Own Own Own Own Own Rent Own Own Own Own Own 2 3 4 1 2 1 2 4 4 2 4 1 4 3 2 4 2 2 1 4 4 4 4 4 1 1 4 1 2 2 3 3 1 2 2 4

Apply three different colors of data bars to lunch dinner and delivery sales in the restaurant sales data provided to visualize the relative amounts of sales Then sort the data by the day of the week beginning on Sunday Compare the nonsorted data with the sorted data as to the information content of the visualizations Click the icon to view the restaurant sales data Apply three different colors of data bars to lunch dinner and delivery sales in the restaurant sales data provided to visualize the relative amounts of sales Choose the correct set of data bars for the lunch sales below OA Lunch Sales S 468 1345 xample 646 782 805 1289 1652 1209 579 664 891 1178 1581 1137 572 OB Get more help Lunch Sales 541 872 288 353 402 441 448 696 306 386 411 507 502 740 297 O C Lunch Sales 72 696 740 845 778 288 306 297 232 353 386 418 340 402 411 O D Lunch Sales 85 490 322 290 277 1243 783 342 329 302 244 1069 715 327 366 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 A Date B Day 1 Saturday 2 Sunday 4 Tuesday 5 Wednesday 6 Thursday 7 Friday 8 Saturday 9 Sunday 11 Tuesday 12 Wednesday 13 Thursday 14 Friday 15 Saturday 16 Sunday 18 Tuesday 19 Wednesday 20 Thursday 21 Friday 22 Saturday 23 Sunday 25 Tuesday 26 Wednesday 27 Thursday 28 Friday 29 Saturday 30 Sunday C Lunch Sales 541 872 288 353 402 441 448 696 306 386 411 507 502 740 297 418 344 466 621 845 232 340 425 378 591 778 D E Dinner Sales Delivery Sales 1468 1345 885 490 646 322 782 290 805 277 1243 783 342 329 302 244 1069 715 327 1289 1652 1209 579 664 891 1178 1581 1137 572 621 913 1332 1732 1324 523 731 940 1409 1856 1229 366 279 295 1255 637 320 412 244 351 1144 602 399 F

A marketing researcher surveyed 100 individuals asking them if they liked a new product concept or not The results are shown in the accompanying table Convert the data into percentages for each gen class Then construct a chart of the counts and a chart of the percentages Discuss what each conveys visually and how the different charts may lead to different interpretations of the data Click the icon to view the survey data Convert the data into percentages for each gender class Type integers or decimals rounded to the nearest tenth as needed No Yes 1 196 Male Female 1 70 Survey data Male Female Yes 28 13 No 46 13 D X

4 Use finite difference to determine the degree and value of the leading coefficient for eac polynomial function App 3 2 1 0 1 2 3 124 41 8 1 4 31 104 247

5 For the function complete the chart and sketch a possible graph of the function labelling key points App Degree f x x 1 x 3 x 2 Leading Coefficient End Behaviour x intercepts y intercept

8 How does the degree of a polynomial affect its behaviour and solutions and how can we explore the relationship between degree and properties of polynomials TI

3 Complete the following table K Graph 60 40 20 88 Sign of Leading Coefficient Even or Odd Degree End Behaviour Symmetry Number of turning points Number of x intercepts Leas Possit Degra

2 Match each function to its end behavior K y 3x y x End Behaviour Q3 to Q1 Q2 to Q4 Q2 to Q1 Q3 to Q4 y 2x y 0 25x6 Functions

7 Use the given graph to state K a x intercepts b number of turning points c least possible degree d any symmetry present even or odd function e the intervals where f x 0 N

1 State the degree and the leading coefficient of each polynomial K a y 2x 3x 1 b y 21 2x 4x 6x

44 of 4 3 NO N 20 f 44 44 9 44 As shown above a classic deck of cards is made up of 52 cards Suppose one card is selected at random and calculate the following probabilities Round solutions to three decimal places if necessary The probability that a 10 or a Heart is selected is The probability that a face card or Diamond is selected is ODD The probability that the selected card is both a face card and a Heart is

To solve this system of linear equations The values b c d e f and g are b C Do some elementary row operations as according to Gauss Jordan elimination to arrive at d e 2x 3 0 zs 324 1 221 37 213 24 5 f IL 222 223 we looked at the augmented matrix consistent inconsistent 1 0 0 2 01 0 b 0 0 1 d 0 0 0 f 31 C e 9 022 0 001 3 1 2 3 2 0 1 5

Solve this system of linear equations x 3y 4z 4 3x7y 7z 8 4x 6y z 7 If the system has no solution put DNE for values of x y and z Answer x y 2

Use the graph to find the slope of the given line Enter the answer as either a decimal or fraction If you enter the answer as a fraction use a forward between the numerator and denominator 2

5 Lida s car has a 55 L tank How many gallons of gas can she fill the tank with if it is completely empty

For which of the following equations is 2 3 not a solution O 3x 4y 6 O 5x 2y 16 O y x 1 O2y 3x 0

1 point List all real values of such that f x 0 If there are no such real x type DNE in the answer blank If there is more that one real x give a comma separated list e g 1 2 f x 8 x 20 1 x 17

1 point Find a possible formula for the function graphed below Assume the function has only one x intercept at the origin and the point marked on The the graph below is located at 2 asymptotes are x 2 and x 1 Give your formula as a reduced rational function f x formulas X 2 y x 1 2 1 2 help X

1 point Leave any unneeded answer spaces blank f x notation is f x The domain of the function f x in interval 8x 10x 67x105 2x 19x x 90 Enger the root s of f x as a comma separated list list of values f x has one hole at the point f x has vertical asymptotes when x is enter a comma separated f x has a horizontal asymptote at y