Coordinate system Questions and Answers

Alan took a vacation trip to Maine where sales tax on taxable items is 5 In Maine prepared food and lodging are taxed an additional 2 for a total of 7 tax while auto rentals are taxed an additional 5 for a total of 10 tax Alan bought 90 worth of souvenirs taxable at the general rate He also spent 420 on prepared food and lodging and 510 for a rental car all before tax How much did he spend in total after tax was included OA 1020 00 B 1058 40

Donte and Trista both bought the same three ring binder for 5 Donte lives in Arizona and pays 5 6 in sales tax while Trista lives in New Jersey and pays 7 in sales tax How much more did Trista pay in sales tax than Donte O A 0 63 OB 0 28 O C 0 07 D 0 35

A state gets its money from a state lottery a property tax a sales tax of 5 and an excise tax This year it projects that it will receive 28 million from the state lottery 36 million from the property tax and 12 million from the excise tax If the state needs 100 million to cover its expenses how many dollars worth of taxable items must be purchased in the state this year for the state to break even A 120 000 000 B 480 000 000 C 24 000 000 D 1 200 000

Rationalize each denominator answer in simplest radical form 12 3 6 7

The tangent line to a smooth curve r t f t i g t j h t k at t to is the line that passes through the point f to 9 to h to parallel to v to the curve s velocity vector at to Use r to and r to to find parametric equations for the line that is tangent to the given curve at the given parameter value t to r t 4 sin t i t 6 cos t j 4e4t k to 0 What is the standard parametrization for the tangent line x 0 Z 4 Type expressions using t as the variable

You decide to invest in a period annuity that offers 4 5 APR compounded monthly for 20 years How much money will you need to invest if your desired yearly income is 42 000 OA 553 229 03 OB 450 000 00 OC 568 793 79 OD 420 000 00

The image shows a circle with two congruent chords 1 2 Draw the central angles associated with the highlighted arcs from D to E and B to C How do the measures of the 2 central angles appear to compare Prove that this observation is true Helpful Hints What do we know about any of the side lengths or angles in the two triangles Is there a sequence of rigid motions that will take one triangle onto the other C D 3 E A B What does this tell you about the measures of the highlighted arcs from D to E and B to C Explain your reasoning

Barry took out a 20 year loan for 55 000 at an APR of 6 monthly and he is making monthly payments of 419 84 Assuming that his balance is 31 019 97 with 8 years left on the loan how much would he save by paying off the loan 8 years early OA 9284 67 OB 23 980 03 OC 3358 72 D 5038 08

Fill in the blanks of the following sentences 5 E mail is similar to memos in that both use lines The most important question to answer in a conclusion of a thesis is Successful technical writing uses When you send an email to your supervisors your colleagues are in the A4 page In your resume it is recommended to write a 3 4 5 WEEKE voice

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The biggest problem in e emails is proofreading issues Select one O True O False

A good example for a reference of a is the following Cenati A Z 1987 Advances in 5G technologies and impacts on public health Oxford UK Select one O O a conference article b book c scientific paper O d book chapter

Question Write an equation for the line passes through 2 3 with slope 1 2

5x 7 0 a Find the slope and y intercept if possible of the equation of the line algebraically Use a graphing utility to verify you answer If an answer is undefined enter UNDEFINED Enter NONE if there is no y intercept slope 5 y intercept O x y b Sketch the line by hand Use a graphing utility to verify your answer No Solution 0 10 9 8 7 6 5 3 2 1 10 9 8 7 6 5 4 2 2 3 4 5 6 8 1 2 Fill Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties

5 Consider a disk D of radius 1 We say a collection of shapes hides D if we can place the shapes from that collection on top of the disk in such a way that each point of the disk is under some part of at least one of the shapes For example D can be hidden by a single disk of radius greater than or equal to 1 However D cannot be hidden by a single disk of smaller radius than 1 As another example D can be hidden by 7 disks of radius 3 4 by placing one radius 3 4 disk at the center and the remaining radius 3 4 disks around the edge of D as follows a Find the smallest radius r so that two disks of radius r hide D and any disk of radius less than r cannot hide it b What is the smallest radius r you can find such that four disks of radius r can hide D c What is the smallest radius r that you can find such that five disks of radius r can hide D You don t need to prove this radius is optimal you only need to show that you found a solution with your radius r With the radius you found can you hide D in such a way that the centers of the disks are not vertices of a regular pentagon

Claire wants to have an income of 45 000 a year when she retires She finds a CD that offers 5 2 APR compounded annually and she also finds a period annuity that offers 5 2 APR compounded monthly for 20 years How much more money would Claire need to invest in the CD than in the annuity in order to reach her goal OA 412 675 23 OB 577 849 89 OC 306 562 27 D 937 500 00

11 For a figure such as an X Y Scatter plot of a standard curve on which axis is the independent variable and dependent variable found on

Parallelogram 2 does the transformed O A IV OB III O C II 1 D I 3 4 is transformed using parallelogram land in 1 Which quadrant

97 8 was transformed to OA OB C D B 8 9 8 9 using 0 1 1 was rotated 90 clockwise was reflected over the x axis was reflected over the y axis Identify the transformation was rotated 90 counterclockwise

3 Vector was transformed to vector 6 A B C D 8 6 3 6 9 18 3 6 What was the transformation was multiplied by the transformation matrix was multiplied by the scalar 2 was multiplied by the transformation matrix 6 was multiplied by the scalar 3 12

ph t fy x 4 x y 0

28 Study the graph 120 90 10 Go 90 2

Find the value of the variable so that DE BC 11 E 13 25 Find the value of the variable 11 20 20 D X 14 B 8 12 14 B 8 C 6 D 6 E X 4 12 x 6 5 A

Pure sounds produce single sine waves on an oscilloscope Find the amplitude and period of the sine wave graph On the vertical scale each square represents 5 on the T horizontal scale each square represents 30 or 6 Ay AVA S The amplitude is Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression

A courier earns a fixed amount for each package she del her average hourly wage was 12 50 an hour If she worked 8 hours yesterday and delivered 25 packages how much does she earn for each package delivered O A 4 50 O B 2 00 OC 4 00 D 2 50

An accountant gets paid 150 for each tax return she prepares and her goa is to earn 6750 preparing tax returns during this tax season If she has already prepared 3 tax returns this tax season how many more tax returns must she prepare in order to reach her goal OA 45 OB 50 OC 48 OD 42

Mark invests 150 at the beginning of each quarter in stock ABC According to the table below how many shares of ABC will Mark own at the end of the year ABC Q1 Q2 Q3 Q4 Stock Price 15 16 13 18 OA 38 shares OB 36 shares

What is the name of the investment strategy in which mutual funds or stocks are purchased in fixed dollar amounts at regular intervals regardless of how the market is performing O A Dollar cost averaging OB Bond investing C Stock investing

What is the name of an investment in which deposits are made in fixed dolla amounts at regular intervals O A Periodic investment O B Lump sum investment C Bond investment

4 2 10 10 3 10 5 3 3 4 3 9 2 6 11 5 11

7 24 9 6 8 3 2 50 9 3 6 600

20 10

20 5 10

10 18 8 11 27 75 12 45 80

Simplify each expression 1 3 2 4 2 2 2 2 4 5 3 5 7 5 3 7 8 7 3

4 2 10 10 3 10 5 3 3 4 3 9 2 6 II 5 IT

metric derived by taking the log of N divided by the document frequency where N is the total umber of documents in a collection is called elect one O A document frequency O B tf idf weight O C collection frequency D inverse document frequency

Term document incidence matrix is Select one O A Dense B Sparse C Depends on data D Can not predict O O O

Given four classes A B C and D and a trained Naive Bayes model P dog A 0 1 P dog B 0 5 P dog C 0 3 P dog D 0 3 P A 0 1 P B 0 2 P C 0 3 P D 0 4 which class is assigned to a document with content dog Select one O A A O B B O C C O D D

6 50 11 3 8

Monitoring Progress and Modeling with Mathematics In Exercises 3 and 4 name the vector and write its component form See Example 1 3 4 1 VOCABULARY Name the preimage and image of the transformation AABCAA B C 2 COMPLETE THE SENTENCE A same direction moves every point of a figure the same distance in the C 11 In Exercises 5 8 the vertices of ADEF are D 2 5 E 6 3 and F 4 0 Translate ADEF using the given vector Graph ADEF and its image See Example 2 5 6 0 6 5 1 7 3 7 8 2 4 In Exercises 9 and 10 find the component form of the vector that translates P 3 6 to P 9 P 0 1 10 P 4 8 In Exercises 11 and 12 write a rule for the translation of ALMN to AL M N See Example 3 L 4 S M 2 D Ay IN M 6 x N 12 7 M 3 L M N 1 5 Ay 1 IN 3 x In Exercises 13 16 use the translation x y x 8 y 4 13 What is the image of A 2 6 14 What is the image of B 1 5 15 What is the preimage of C 3 10 16 What is the preimage of D 4 3 In Exercises 17 20 graph APQR with vertices P 2 3 Q 1 2 and R 3 1 and its image after the translation See Example 4 17 x y x 4 y 6 18 x y x 9 y 2 19 x y x 2 y 5 20 x y x 1 y 3 In Exercises 21 and 22 graph AXYZ with vertices X 2 4 Y 6 0 and Z 7 2 and its image after the composition See Example 5 21 Translation x y x 12 y 4 Translation x y x 5 y 9 22 Translation x y x 6 y Translation x y x 2 y 7

Gloria Hugo 4 25 A Curtis B Gloria C Bridget D Hugo 13 Assuming that each salesperson earned commission on all items he or she sold who earned the most in commission 60

The Adeeva s gross monthly income is 3800 They have 18 remaining payments of 280 on a new car They are applying for a 30 year 70 000 mortgage at 6 5 The taxes and insurance on the house are 410 per month The bank will only approve a loan that has a total monthly mortgage payment of principal interest property taxes and homeowners insurance that is less than or equal to 28 of their adjusted monthly income a Determine 28 of the Adeeva s adjusted monthly income 985 60 Round to the nearest cent b Determine the Adeeva s total monthly mortgage payment including principal interest taxes and homeowners insurance Round to the nearest cent Rate Monthly Principal and Interest Payment per 1000 of Mortgage 998283828 4 0 45 5 0 5 5 60 65 7 0 1 5 CITE 8 0 8 5 90 10 10 12451 10 36384 10 60655 10 85263 11 10205 11 35480 11 61085 11 87018 12 13276 12 39857 12 66758 15 7 39688 7 64993 7 90794 8 17083 8 43857 8 71107 w 8 98828 stary 9 27012 9 55652 9 84740 1014267 20 6 05980 633649 6 59956 6 87887 7 16431 745573 7 75299 8 05593 836440 867823 899726 25 5 27837 5 55832 553 32 5 84590 BANDA 614087 644301 OFFICI 6 75317 sam 7 06779 738991 7 71816 805227 8 39196 30 4 77415 506685 536822 C 5 67789 5 99551 632068 c a 665302 699215 7 33765 768913 804623 X

In 13 15 Multiply then simplify each square root 13 3 8 14 8 6 15 6 3

Which of these expressions is equivalent to log 46 OA 6 log 4 OB log 6 log 4 C log 6 log 4 OD log 6 log 4

Which of these expressions can be used to calculate the monthly payment for a 20 year loan for 215 000 at 5 4 interest compounded monthly O A 215 000 0 0045 1 0 0045 1 0 0045 240 1 OB O C O D 240 215 000 0 0045 1 0 0045 240 1 0 0045 24 1 215 000 0 0045 1 0 0045 1 0 0045 240 1 240 240 215 000 0 0045 1 0 0045 2 1 0 0045 240 1

he equations below then graph 2 y 5x 3

Match each quadratic function to its graph f x 2x 16x 30 2 x 3 x 5 g x x 2 h x x 2x 1 x 1 k x x 3x 2 x 1 x 2 f x 2x 16x 30 2 h x x 2x 1 704x 8 00 6 2 g x x 2 k x x 3x 2 104X CO 8 6 A O

Correspo F The pair of figures below is similar Color code corresponding vertices and write the similarity statement 9 R 6 Q 15 S 12 ZQ corresponds to ZR corresponds to ZS corresponds to 2T corresponds J 10 K 15 P 25 20 Quad QRST G Using your similarity statement identify corresponding angles and sides Corresponding Angle Pairs Corresponding Side Pairs RScorresponds to STcorresponds to TQ corresponds to QR corresponds to

and the value of x that makes APGH AJKL Lesson 11 3 1 point X 3 5 20 6 The two triangles below are similar What value of Q and B would make this true To solve this problem use the value of x to find the measure of Q and B Lesson 11 3 1 point Learning Goal from Lesson 11 4 I can apply the properties of similarity transformations to establish the AA criterion for two triangles to be similar 7 Using a proportion based on similarity find the length of DE 1 point 9m 13 5 m C B I got it 39 22 5 m 91 98 15x 64 42 How I Did Circle one 4x 2 Q I m still learning it