Permutations and Combinations Questions and Answers

Find the least squares solution of the system x 1 1 7 5 1 7 3 8 5

In the special case when the variables cancel and leave you with a true statement such as 2 2 the answer is no solution True False

What opposite operation would you use to solve the equation and why 3x 24 O a Divide both side by 3 because 3x means 3 times x and the opposite of multiplication is division Ob Multiply both side by 3 because 3x means 3 times x and the opposite of multiplication is multiplicat O c Add 3 to both side because 3x means 3 minus x and the opposite of subtraction is addition Od Subtract 3 from both side because 3x means 3 plus x and the opposite of addition is subtraction

Match the equation with the correct opposite you would use to solve it a Subtract 5 b Divide by 5 c Multiply by 5 d Add 5 1 x 5 12 2 x 5 12 3 5x 12 4 12

Simplify 1 7 0 1a 4 4 1 2a O a 6 1 1 1a O b 2 7 1 3a O c 7 2a O d 1 6a 5 6

Value 2 Will 5 0 4 be rational or irrational Why a Rational An irrational number divded by an irrational number is always rational b Rational A rational number divded by a rational number is always rational O c Irrational A rational number divded by a rational number is always irrational Od Irrational An irrational number divded by a rational number is always irrational

gislative committee consists of 6 Democrats and 5 Republicans A delegation of 4 is to be selected to vi and republic Complete parts a through d below How many different delegations are possible e 4 delegates can be selected 330 different ways How many delegations would have all Democrats e 4 delegates can be selected different ways if all 4 are Democrats

bmit Assignment Quiz 4 1 4 4 00 56 48 Question 12 of 16 Step 1 of 1 Divide the polynomial by the monomial denominator by writing the fraction as the sum or difference of fractions Simplify your answer if possible 9x48x 4 Answer 2 Points Keypad Keyboard Shortcuts

Question 6 of 16 Step 1 of 1 Perform the indicated operation s and simplify Answer 2 Points 10y 2y 3y 5 4

C 44 25 Use scientific notation Round to three decimal places as needed Use the multiplication symbol in the math palette as needed

A legislative committee consists of 6 Democrats and 5 Republicans A delegation of 4 is to be selected to visit a small island republic Complete parts a through d below a How many different delegations are possible The 4 delegates can be selected different ways KECH

the whether the statement is true or false and explain why The number of combinations of 10 items taken 3 at a time is equal to the number of combinations of 10 items taken 7 at a time That is C 10 3 C 10 7 Select the correct choice below and fill in the answer box es to complete your choice Type an integer or a fraction OA The statement is false because C 10 3 and C 10 7 B The statement is true because C 10 3 C 10 7 XX

Determine the mass of a block if a force of 25 N is required to start it sliding on a horizontal surface 0 33 Solution

K Determine whether the statement is true or false and explain why The number of distinguishable permutations of the letters in the word downsize is 81 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The statement is true If a word has n letters then the number of distinguishable permutations of the letters in the word is always nl OB The statement is true This is because there are 8 different letters in the word O C The statement is false The number of distinguishable permutations is Simplify your answer instead

In an experiment on social interaction 7 people including Darrell will sit in 7 seats in a row a In how many ways can this be done b In how many ways can this be done if Darrell always sits in the middle seat a There are ways 7 people can sit in 7 seats in a row Type a whole number

A menu offers a choice of 3 salads 9 main dishes and 6 desserts How many different meals consisting of one salad one main dish and one dessert al There are different possible meals Type a whole number

K Evaluate the permutation P n 1 P n 1 Simplify your answer

Step 2 of 2 Find the formula for Answer f x 4x and g x x 3 1 x x and simplify your answer Then find the domain for Domain Round your answer to two decimal places if necessary Keypad Keyboard Shortcu Submit Answer

Question 3 of 12 Step 1 of 2 Consider the following graph Step 1 of 2 Does the graph represent a function 10 5 10 5 5 Enable Zoom Pan 5 10

4 Find the equation for the line that passes through the point 2 2 and that is perpendicular to the line with the equation 3x 10 HO S 10 Enable Zoom Pan 10 2y 3

apning estion 12 of 16 Step 1 of 1 Equations in 12 18 Correct d the equation for the line that passes through the point 3 1 and that is perpendicular to the line with the equation x 3y 7 5 107 5 Enable Zoom Pan 5 A MAX

Solve the given system of equations x y 3z 9 x y 6z 18 x 7y 2z 24 Select the correct choice below and fill in any answer boxes within your choice A There is one solution The solution set is Simplify your answers OB There are infinitely many solutions OC There is no solution A

Question 11 of 16 Step 1 of 1 Find the slope of a line that is a parallel and b perpendicular to the given line Answer 11 18 Correct x 6y 5 Slope of a parallel line

Row operation https www youtube com watch v DH2JSYx52nk Perform the row operation 3R3 R3 on the matrix Enter the resulting matrix as your answer 2 9 64 3 6 3 7

If 10 000 is invested in an account earning 5 2 interest compounded continuousl determine how long it will take the money to double Round to the nearest year Us the model A Pert 21 years 13 years 1 years 133 years

pair 4x 5y 3 15x 5x 2y 12 Do not enter any spaces in the answer The solution is 1 point W

Save Exit Certify Lesson 2 3b Graphing Question 9 of 16 Step 1 of 1 Equations Find the equation for the line that passes through the point 3 3 and that is perpendicular to the line with the equation y 4 10 15 10 9 18 Correct S Enable Zoom Pan A X

Question 8 of 16 Step 1 of 1 8 18 Correct Write an equation for the line parallel to the line 4x y 2 through the point 0 9 Please enter your answer in slope intercept form or standard form Answer Keypad Keyboard Shortcuts

The function is one to one The function is not one to one Question 18 1 point on the graph is a one to one function Listen d the inverse function

Find the value of f 3 for f x f 3 2x 4 if x 3 1 2 if x 3

The price p and the quantity x sold of a certain product obey the demand equation 1 x 200 0 x 1 200 What quantity x maximizes revenue What is the maximum revenue p OA 600 60 000 OB 1 200 60 000 OC 300 45 000 OD 900 45 000

Save Exit Ceran 5 18 Correct Find the equation for the line that passes through the point 3 2 and that is parallel to the line with the equation y 4 Question 5 of 16 Step 1 of 1 10 5 Av 107 5 Enable Zoom Pan 5 10 A X

iven that n An B 13 n AnBn C 9 n An C 19 n B nC 9 n An C 14 n B n C 8 n C 25 nd n A n B n C 7 determine the number of element s in each of the disjoint regions labeled with Roman umerals in the Venn diagram below B I here are gion IV gion VIII IV II V VII III VI C VIII element s in region I element s in region V element s in region II element s in region VI element s in region III element s in element s in region VII and element s in

The 4th term of h 2 10 is 2 Use before exponents x would be written as x 2

To find the distance from the house at A to the house at B a surveyor measures the angle ACB which is found to be 20 and then walks off the distance to each house 40 feet and 80 feet respectively How far apart are the houses The houses are feet apart 40 ft 20 C B 80 ft

Write each equation in logarithmic form 34 1 1 81 O log 1 3 81 log 43 3 1 10 81 10g3 1 81 log 4 4 1 81

Consider the following Step 1 of 2 Find the formula for Answer f x x and g x x 5 x and simplify your answer 4

Multiply the complex numbers below and leave the result in trigonometric form 7 cos isin 10 cos isin Show your work Upload an image of your work to this question when complete

Complete the problems and then check your answers in the back of the book Determine a the annual net income and b the annual yield 1 Bev Ray bought a vacation condominium as a real estate rental property for 345 900 After a 100 000 down payment she mortgaged the rest Her annual expenses totaled 28 760 and she rented the condo for 3 975 per month 2 Daryl Mattingly bought a vacation cottage as a real estate rental property for 185 900 After a 40 000 down payment he mortgaged the rest His annual expenses totaled 19 850 and he rented the condo for 3 875 per month for 6 months

6 7 cos 30 sin 30 16 cos 75 isin 75 A 112 cos 45 isin 45 D 7 cos 135 sin 135 16 B 23 cos 105 isin 105 E 112 cos 80 8 isin 80 8 C 12 cos 105 isin 105

Multiply the following a x 6 x 2 XX 2X 66x 12 x 2x 6x 12 x 4X 12 b 2x 5 2x 5 8 c 5 x 5 x

Find the exact value of sin O O 3 2 O ele 3 2 21 3 by using the unit circle

10 Answer 5 1101 Enable Zoom Pan 5 10 Step 2 of 2 Determine the values of the local extrema you identified in the previous step Write DNE for all extrema that do not exist Separate multiple a comma if necessary Key

given by graph 2023 Hawkes Learning 10 TVO T Enable Zoom Pan Step 1 of 2 Use the graph to determine the locations and type of the local extrema Write DNE for all extrema that do not exist Separate multiple answers comma if necessary Subr

Valdez Company sold land that had cost 48 000 181 Multiple Choice O The 12 000 gain would be subtracted from net Income in the operating activities section using the direct method 48 000 would appear as a cash Inflow from Investing activities and 12 000 would be added in the operating activities section using the Indirect method 60 000 would appear as a cash Inflow from Investing activities The 12 000 gain would be subtracted from net Income in the operating activities section prepared using the Indirect method and 60 000 would be reported as a cash Inflow from Investing ac

On January 1 Year 1 Mayer Corporation signed a contract to perform 25 000 worth of services for Phips Company over the next three years Which of the following indicates the effects of this event on the Year 1 Inco statement and statement of cash flows of Mayer Corporation option ABCD Net Income NA 25 000 25 000 NA Multiple Choice C Operating NA NA Option C Option A Option D Option B 25 000 NA Cash Flows Investing NA 25 000 NA NA Financing 25 000 NA NA NA

e function f is given by the graph below Answer 20 2023 Hawkes Learning 15 10 Enable Zoom Pan Step 1 of 2 Use the graph to determine the locations and type of the local extrema Write DNE for all extrema that do not exist Separate multiple comma if necessary MacBook Pro y KA

0 ences Grover Incorporated uses the allowance method to account for uncollectible accounts expense Grover Incorporated experienced the following four accounting events in Year 1 1 Recognized 77 000 of revenue on account 2 Collected 71 000 cash from accounts receivable 3 Wrote off uncollectible accounts of 950 4 Recognized uncollectible accounts expense Grover estimated that uncollectible accounts expense will be 3 percent of sales on account Required a Show the effect of each event on the elements of the financial statements using a horizontal statements model Use for increase for decrease and blank for not affected In the Statement of Cash Flows column indicate whether the item is an operating activity OA Investing activity IA financing activity FA or not affected blank The first transaction is entered as an example b Record the previous transactions in general Journal form Complete this question by entering your answers in the tabs below Required A Required B Show the effect of each event on the elements of the financial statements using a horizontal statements model Use for increase for decrease and blank for not affected In the Statement of Cash Flows column indicate whether the item is an operating activity OA investing activity IA financing activity FA or not affected blank The first transaction is entered as an example Event Assets 1 2 Effect of Events on the Financial Statements Horizontal Statements Model Balance Sheet Liabilities Stockholders Equity Retained Earnings Income Statement Revenue THE Expense Net Income Statement of Cash Flows

Use a calculator to approximate the given expression Round your answers to the nearest hundredth two decimal places A 146 B 177

Cambridge IGCSE and O Level Additional Mathematics 5 Find how many different four digit numbers greater than 4000 that can be formed using the digits 1 2 3 4 5 6 and 7 if no digit can be used more than once 6 Find how many even numbers between 5000 and 6000