Permutations and Combinations Questions and Answers

Solve each system by elimination State the solution s on the 1 7x 4y 28 3x 4y 12

Question 55 of 60 Which of the following is TRUE OA The Commission may only place on probation the license of a license holder who discriminates against an owner potential buyer landlord or potential tenant OB The Texas Real Estate Commission may suspend but not revoke the license of a real estate license holder who discrimina against an owner potential buyer landlord or potential tenant OC The Commission may make a license holder pay punitive damages if the license holder discriminates against an owner potential buyer landlord or potential tenant OD The Commission may suspend or revoke the license of a license holder who discriminates against an owner potential buye landlord or potential tenant

Which of the following is commonly used to show proof of ownership OA All of these OB Torrens certificate OC A certificate of title OD Title insurance

Question ID 91 A house for sale has a huge deck on its west side The deck is permanently attached to the house and removing it would damage the house and the landscap The deck will transfer with the property when it is sold via a OA bill of sale OB deed of trust OC conveyance deed OD promissory note

Question 60 of 60 An unlicensed individual assisted her neighbor in the sale of her home The unlicensed individual did not receive any compensation for marketing the neighbor s property fielding all phone calls from prospective buyers showing the neighbor s property assisting the neighbor in reviewing offers or any other activity she performed until the property was sold The unlicensed individual A would NOT be determined to be an agent for the neighbor because she is unlicensed B is in violation of TRELA and must have a license to assist her neighbor whether or not she received compensation OC is NOT in violation of TRELA because she did not receive any form of compensation from her neighbor for any of the activities performed Question ID 11655 D is in violation of TRELA because she assisted her neighbor another person in the sale of her home without a license to conduct that activity

Question 16 of 60 Question ID 1165 Broker A when showing property to a Hispanic couple discriminates against the couple based on race Which of the following does NOT address the issue of racial discrimination A The Rules of the Real Estate Commission O B The Real Estate License Act TRELA OC The Code of Ethics OD The Texas Statute of Frauds

34 Which equation represents the graph shown a b 3 y x 4 a 2 3 a y 3 5 x 2 b y 3 5 x 2 b X 4 36 Which graph represents y c d 35 A line has a slope of 5 and passes through the point 2 3 What is the equation of this line in point slope form 3 2 x 3 X 4 2 I 4 c y 2 5 x 3 d y 2 5 x 3 c d

29 What is the x intercept based on the graph a 2 b 4 c 2 d 0 Chapter 4 30 What is the slope and y intercept of the line y x a c a Slope 6 y intercept 3 1 b 31 Identify the slope and y intercept of the linear equation 3y 6x 15 b Slope 3 y intercept 6 c Slope 2 y intercept 5 a y 2x 5 b y 2x 5 1 2 32 A line has a slope of 2 and y intercept 0 5 What is the equation of this line 3 d d Slope 2 y intercept 3 c y 2x 5 d y 2x 5 33 A line contains the point 0 7 and has the same slope as the line y 3x 1 Which of the following is the equation of the line in slope intercept form

t Landowners adjacent to a body of water such as a lake may pull water from the lake as long as OA they need it without restriction from the state or federal government OB they have the permission of the Texas Commission on Environmental Quality OC they have the permission of the Environmental Protection Agency Army Corp of Engineers OD they have the permission of abutting landowners

Question 10 of 60 Questi A trust created to permit property owners to provide for their own financial care during their lifetimes and which permits subsequent changes is known A a revocable livin trust OB a land trust OC a testamentary trust OD an irrevocable living trust

The sum to be paid to an aggrieved party from the real estate recovery trust account is determined by OA the Texas Real Estate Commission B the local association of REALTORS OC the court OD the Broker Lawyer Committee

Question 4 of 60 How has fair housing law impacted the brokerage community OA It has had no impact W OB It has brought in more buyers to compete for properties boosting prices through competition OC It has hurt the brokerage community because commissions are down OD It has driven down the value of real estate because more low income people are allowed to buy property

The fair housing laws allow any aggrieved party to file an original complaint against discriminatory practices via any of the following avenues EXCEPT A the court of appeals B private litigation OC administrative proceedings OD attorney general litigation

Use the properties of logarithms to write the following expression as a single logarithm In y 4 ln s 8 ln y Provide your answer below

The sum of the measures of the angles of a triangle is 180 The sum of the measures of the second and third angles is four times the measure of the first angle The third angle is 10 more than the second Let x y and z represent the measures of the first second and third angles respectively Find the measures of the three angles Do not include degree symbol in your answer Provide your answer below X V

Consider the graph and the given points Step 3 of 3 Determine the equation of the line 10 S 5 A 3 5 B 6 5 107 Enable Zoom Pan m

Illustrate the commutative property of addition by finishing the statement j 13 Answer 2 Points O 13 j O 13 j Oj 13

Calculate the distance between the points K 3 2 and E 4 6 in the coordinate plane Give an exact answer not a decimal approximation 10 8 6 K 10 8 6 4 2 124900 2 44 6 10 2 4 E 6 8 10 Distance 8 06 X

3 Convert 2 hours to minutes Enter your answer as an integer or a reduced fraction 4 3 2 hours 4 minutes

Find the perimeter of the following triangle Write your answer as a mixed number in simplest form Be sure to include the correct unit in your answer 4 cm 81 2 cm 4 5 1 cm 0 00 cm X

4 If the probability that an event will occur is favor of the event occurring are The odds are Simplify your answer 1 then the probability that the event will not occur is 6 and the odds in

Consider the mathematical system with the single element 1 under the operation of multiplication Complete parts a to f below a Is this system closed Yes No b Does the system have an identity element No Yes c Does 1 have an inverse O No O Yes www

D Consider the mathematical system defined by the following table Answer parts a through g TDM M B TDBT T D DBTDM M T D D M B BOMB T Now determine the inverse element of M Select the correct choice below and if necessary fill in the answer box to complete your choice O A The inverse element that corresponds to M is OB M has no inverse element Now determine the inverse element of B Select the correct choice below and if necessary fill in the answer box to complete your choice OA The inverse element that corresponds to B is

Joseph did a study of colors used in the African national Flags He found that 38 flags have red 20 have blue 13 have both red and blue and 8 have neither red nor blue You may want to create a Venn diagram of this information What is the probability that a flag has red but not blue 25 53 25 79 38 79 38 53

Determine whether the statement is true or false Rewrite each false statement to make it a true statement The product of an irrational and a rational number is always an irrational number Choose the correct answer below O A This statement is true OB This statement is false The product of any two numbers is always rational O C This statement is false The product of an irrational and a rational number can be a rational number O D This statement is false The product of an irrational and a rational number is never an irrational number

The chromatic number of the graph below is 3 The vertex on the bottom right has not been colored yet What color must it be using the given vertex coloring Red Green Green Blue Blue Green

which of the diagrams below do the wiggled edges not represent a spanning tree I 8 0 I only Both I and II Neither I nor II II only

gary annnd 2 friends spent a totle of 24 on a tickets to a play durinnng intermission they each bought a drink for 2 50 each what was the total cost

a For the series Sn a 1 f x dx S s n 1 n n 1 n b Use the midpoint of the interval found in part a to approximate the sum of the series 3 1 use the inequalities shown below with n 10 to find an interval containing the sum S 3 3 n 1 n S f x dx

The graph of the function f x x 2x 3 is shown below X X 5 4 3 2 1 as Ox 4 Ox 4 Ox 1 Ox 1 SV T 1 GASON S 2 3 4 2 3 4 5 Which of the below describes the interval over which fx is decreasing

points The graph of the linear function x is shown below 5 4 3 2 4 3 0 O 7 0 0 0 7 0 0 9 4 3 2 1 1 2 3 4 5 O 0 6 0 2 O 6 0 1 What is the y intercept of f x 23 46 Question 7 14 29 points What would be the x intercept for the function x 3x 6

Points 0 of 1 Find the savings plan balance after 18 months with an APR of 5 and monthly payments of 300 The balance is Do not round until the final answer Then round to the nearest cent as needed

An airplane is heading north at an airspeed of 750 km hr but there is a wind blowing from the northwest at 50 km hr The plane will end up flying The plane s speed relative to the ground will be degrees off course km hr

ber of ways to select 2 letters from the set A B C if order is important a ber of ways to select 2 letters from the set A B C if no repeats are allow ber of combinations of 3 elements taken 2 at a time is nswer in part c differ from part a or b Choose the correct answer below ne as part a and b ers only from part a ers from both part a and part b ers only from part b

Finite thematics SPRING 2023 iz Chp 8 spx tes int How many

9 A shop teacher has four sockets in a drawer They are labeled inch inch 13 1 inch and 13 inch 15 inch O 0 inch Inch 15 inch Which of these sockets has the smallest measureme

dy Given In xy 5y 10x 15 compute dx O O a dy 30x y y dx x 10xy 2 b dy 30x y y dx x 10xy c dy 30x y O dx 1 10xy d dy 30x y y 15 x 10xy dx pepe

Write the following logarithmic expression as a single logarithm 7 log y 13 log z jummenel

The table to the right shows estimates of mobile data traffic in exabytes 1018 bytes per month for years from 2015 to 2020 A Let x represent the number of years since 2015 and find an exponential regression model y abx for mobile data traffic B Use the model to estimate the mobile data traffic in 2024 A Write the regression equation in the form y ab y 0 X Year 2015 2016 2017 2018 2019 2020 Mobile Data Traffic exabytes per month Traffic 3 9 5 8 9 6 15 4 20 5 32 3

20 xy Which expression is equivalent to 16 25 V X 45 A 2x y 5 4 5 B 5x y D 5x 8 12 c 2x y 8 12 5y 2v for positive x and y values

Find the derivative of f x 5 37x a f x b f x c f x d f x 7 2 5 37x 7 2 3x n3 7 2 5 37x 7 37x 37x n3

Find the derivative of f x a f x b f x c f x d f x 9x 12 11sinx 9sinx 9xcosx 12cosx 11sin x 9sinx 9xcosx 12cosx 11sin x 9sinx 9xcosx 12cosx 11sin x 9 110K

a comma to separate answers as

9 8 7 6 5 0 0 9 x f x 3 55 f x is a quadratic function Which of the following are factors of f x Choose all that apply No work required Ox 6 Ox 8 Ox 7 Ox 8 0x 7

74 5 a Determine the quadrant in which the terminal side of 0 lies O Quadrant I O Quadrant II O Quadrant III O Quadrant IV Given sec 0 and tan 0 0 answer the following questions b Using odd even properties determine the exact values of the following expressions sec 8 cos 8 c Now determine the exact value of sin 0 sin f

ring a 24 hour day the tides raise and lower the depth of water at a pier as shown in the figure below Write an equation of the form f t A cos Bt d that gives the depth of the water at time t d the depth of the water at 6 P M ft 12 f 6 12 18 24 t is the number of hours from 6 A M t

You are playing cards and are dealt a hand of three cards from a standard deck of 52 Q Which two of the following are possible sample spaces You must click on the two correct answers consecutively otherwise you will lose points and health A The number of combinations of 3 cards chosen from 52 B C 3 52 C P 52 3 D The set of permutations of 3 cards chosen from 52 E The set of combinations of 3 cards chosen from 52 F The number of permutations of 3 cards chosen from 52 G P 3 52 H C 52 3 Hint QThe text for this question will not appear until you have answered the preceding question correctly Queen A B 1 C The set of permutations of 3 cards that contain a single queen D 4 52 E Queen of spades Queen of clubs Queen of hearts Queen of diamonds F 1 4 G The set of combinations of 3 cards that contain a single queen H The number of combinations of 3 cards containing a single queen

Select all of the following graphs 5 4 5 4 3 2 5 4 3 2 3 2 1 1 NO P45 3 5 5 54 3 2 1 2 3 4 5 5 4 3 2 5 4 3 2 1 2 2 3 4 5 1 2 3 4 1 2 3 4 5

Geometric Sequence The first term of a geometric sequence is 512 and the common ratio is What is the 8th term of the sequence 22 63 2 4

The probability that a 19 year old male in the United States will die within 1 year is approximately 0 001188 If an insurance compahy sells a 1 year 25 000 life insurance policy to a 19 year old for 715 what is the company s expectation in dollars