Permutations and Combinations Questions and Answers

A denotes the area of the sector of a circle of radius r formed by the central angle 0 Find the missing quantity r 6 inches 0 90 A A square inches Type an integer or decimal rounded to three decimal places as needed

Identify the asymptote for the following equation f x log x 2 3

S Student likes sports Note The numbers in the Venn Diagram represent the proportion of students with certain characteristics a b P MUS d M SIC 0 140 P MIS A student is selected at random Determine the following probabilities Your answers should be correct to three places after the decimal point P M 0 570 S 0 200 0 090 c The probability that the student likes both music and sports e The probability that the student likes neither music nor sports

2 x ve y ger el say lar i in x y olmak zere x y x y x y i lemi tan mlan yor 4 5 y 2 3 3x y y 2 7 oldu una g re x y y 1 ifadesinin sonucu ka t r A 10 19 B 22 19 C 26 19 D 28 19 E 41 19

3 2 1 1 2 Determine the period 2 6 10 12 14 Enter

Let h x x 9x a Find the average rate of change from 1 to 4 b Find an equation of the secant line containing 1 h 1 and 4 h 4

If F x x 1 X 1 find the following a F 6 b F 40 c F 0 002 d Is F 0 defined Yes No

y intercept at 0 1 graph approaches positive infinity as x increases y intercept at 0 2 graph approaches negative infinity as x increases y intercept at 0 2 graph approaches positive infinity as x increases y intercept at 0 2 graph approaches 0 as x increases y intercept at 0 1 graph approaches 0 as x increases y y 3 4 y 2

Graph the function with a graphing utility 15 y 1 x x 1 2 20 10 10 y 10 5 10 10 10 10 10 10 5 5 10 10 5 y y 5 5 10 10 X MY NOT

Find the inverse of the radical function f x x 2

Brenda invests 26 375 79 in a savings account with a fixed annual interest rate of 5 63 compounded semi annually What will the account balance be after 6 years

Aiden earned 675 from mowing lawns last summer He deposited this money in an account that pays an interest rate of 3 5 compounded annually What will be his balance after 15 years Two decimal answer

2 Implement Second Order Derivatives for Image Sharpening Laplacian for the following imag 25 MARKS int 10 211 105 15 g x y f x y c V f x y 110 170 139 106 10 70 255 75 Consider C 1

21 The 5 blocks below bear codes needed to unlock a secret passage to Khao Sok in Phuket The number cards have to be matched to the blocks What should be the number in the card that matches a particular block A 628 DAE ABA ACE B 682 CAB BED C 286 736 832 363 D 862 372

Q6 From the given data find f x as a polynomial in x using Newton s divided difference method and hence fin f 10 X 0 4 2 26 3 58 4 112 7 466 9 922

10 Using only a compass and straightedge construct the image of MN after a reflection in line r Label its image M N Leave all construction marks N

y x x 6 What are the intercept s Select the correct choice below and fill in any answer boxes within your choice OA Type an ordered pair Use a comma to separate answers as needed OB There are no intercepts is the graph of the equation symmetric with respect to the x axis O bh list the intercepts and test for symmetry OYes No Is the graph of the equation symmetric with respect to the y axis O Yes O No Is the graph of the equation symmetric with respect to the origin Yes No

8x 3y 24 What is the slope of the line Select the correct choice below and fill in any answer boxes within your choice OA The slope is Type an integer or a simplified fraction OB The slope is undefined of the line Graph the line What is the y intercept of the line Select the correct choice below and fill in any answer boxes within your choice OA The y intercept is Type an integer or a simplified fraction OB There is no y intercept Use the graphing tool to graph the line Click to

34 Given the formula A find the area A of a circle whose radius is 9270 in 8 01025 x 10 in in 8 39056 x 1057 in O 8 59329 107 in O9 04401 x 10

24 Write the following in scientific notation 351 1 O 3 511 O 3 511 x 104 O 3 511 2 O 3 511 x 10

21 Evaluate the following expression if w 6 and z w 2

17 Evaluate the following expression if g 5 and h 8 g h

411 4 9x 3 Or 1 12 Ox 1 O x 4 O O 1 O None of these answers are correct

6 Write the following in decimal notation 1 824 x 10 O182400 O 1 824 O 18 24 O NaN O 0 0000001824

14 Solve the equation for a 712 7 10x 3 3

11 Solve the exponential equation 4 28 9

6 Solve the exponential equation 5 25 6 3

True The point 4 0 is a solution to this system x 6y 4 3x y 12 False

2 Which function will have the greatest value at x 167 Oy 7x Oy x 21x 195 O y 1 15

7 Evaluate without a calculator State your answer in number form

6 The ordered pair 15 0 is a solution to which system of equations 2x 2y 8 3x 5y 0 O 10 2y 2x 3y 69 O3x 38 y 2x 2y 28 Oy 15 s 5x y 75

5 Solve the system of equations 15x 7y 8z 38 15x 4z 62 4z 32 X y 2

Solve the system of equation y z 26 y 2 64 y z 58

7 The ordered pair 9 3 is a solution to which system of equations Oy 6 x 2x y 21 Ox 10 2y 3x 2y 10 2x 12 y 2x 2y 12 3x 3y 69 4x 4y 92

2 Considering these two equations y 13z 7 6y 52 7 Which expression can be substituted for y in the bottom equation of the system to solve the system by substitution 07 2 O 13x 7 07 52

10 On a separate sheet solve the system of equations by graphing Check your answer with the feedback 30x 18y 36 y x 1 X

Let s review percent increase and decrease Try to perform each of the following calculations in one step 1 Sierra walks into a store and spends 12 If there is a 7 sales tax how can Sierra calculate her total bill in one step 2 Ang finds a great sale on a new pair of headphones The original cost was 89 but the item is 25 off How can Ang calculate his total bill in one step

Now use the data for the lunch shown below and answer the following questions Servings Serving Size Consumed 1 1 pocket Food Ham Swiss Pocket Kettle chips Gatorade 9 chips 12 oz 2 Carbs g Protein g Lipids g 288 12g 15g serving 28 30g total serving 36g og 6 What is the total kcal for this meal Show work to get full credit 20g 98 serving 08 7 What is the percent of kcals from carbohydrates Show work to get full credit 8 What is the percent of krals from proteins Show work to get full credit 9 What is the percent of krals from lipids Show work to get full credit Alcohol 10 What is the percent of kcals from alcohol Show work to get full credit 06 Og 0g Time 12 30 12 30 12 30 Hide Transcribed Text use the data for the lunch shown below and answer the following questions 6 What is the total k w work to get full credit 7 What is the percent of kcals from carbohydrates Show work to get full cent of ksals from proteins Show work to get full credit 9 What is the percent of kcals from lipids full prodit Hit 10 Wh

3 What is the largest possible value of rank A if A is a 4x6 matrix 4 If A is a 3x5 matrix what is the maximum number of parameters in the general solution of Ax 0

Ay 1 cos x TL 2 C y 1 cos x TV 2 Find the equation KIN 2 B y 1 cos x TL 2 D y 1 cos x TL 2

0 0 A y f x 2 C y f x 2 2 0 The black graph is y f x Choose the equation for the red graph B y 2 f x D y 2 f x

1 1 A y 3 f x C y f x 3 3 1 The black graph is y f x Choose the equation for the red graph B y f 3x D 3y f x

1 1 Determine the period A 10 12 14

Rotate the given triangle 90 clockwise about the origin 1 1 1 1 2 21 1 31 CO

15 Victoria is playing with her balance scale and balances 3 blue blocks and 2 red blocks on one side with 5 blue blocks and a red block on the other Later her brother balances 2 red blocks and a blue block with a 40 gram weight How much does each block weigh Homework Help 17 Factor and reduce to simplify 8 Change the angle measurements below from radians to degrees or from degrees to radians Homework Help a 144 b 300 d 1777 3x 6 x 7x 10 8 GEN Divide x 2x 25x 50 x 2 E Use your answer from the previous problem to solve x 2x 25x 50 dring e 1 f 220

The table below gives the probability density for a particular bowl of candy Color Brown Red Orange Yellow Green Blue Probability 0 13 0 13 0 20 0 14 0 16 0 24 If a candy is drawn at random what is the probability that it is orange or blue P

Find the variance of the data 12 53 141 219 500 x 185 Variance 0 Variance Enter

What are the domain and range of the function f x x 4 2x 2 4

Refer to the figure and identify all pairs of alternate exterior angles La and Zc ng and b a b h c 8 d fle m OLb and Ld na and d L 2 X

33 Write an equation of a line in slope intercept form for the given conditions x intercept 17 and y intercept 4 Hint Write the intercepts as ordered pairs y