Permutations and Combinations Questions and Answers

tions of Case III y 0 and k my 0 y In this case Eqn 7 after integration gives In y In k my x c k or th ex c k my You may now try the following exercises E1 Solve the following equations a 1 x dy 1 y dx 0 0 c y x a y x dx dx d 3e tan ydx 1 ex sec ydy 0

For the following system to be consistent 6y 31y 20y CT CT 34 z kz E 43 Ma

Solve the equation Check your solution 64 a I w e 3 1 3 2

Solve the equation by multiplying by the LCD 3x 7 5 9 1 2x F intoger or a fracti

Solve the equation 0 15p 2 5 6 5 The solution set is Simplify your answer Type an integer or

Complete the following sentence To solve a linear equation containing fractions multiplying each side of the equation by the used to rewrite the equation without fractions To solve a linear equation containing fractions multiplying each side of the equation by the

Solve the equation Check your solution 9k 5 k 5k 5

Find the circumference and area of the circle Round the answer to the nearest whole number 6 ft O A 9 ft 113 ft2 OB 9 ft 38 ft OC 19 ft 19 ft D 19 ft 28 ft

4 1 6 22 29 1 X

3 If y kx and y 20 when x 5 what is the value of y when x 4 a 4 b 8 c 12 d 16

3 If y 4x what is the value of y if x 5

Solve the equation Check your solution 9 4 x 2 6x

Solve the equation Check your solution 4n8n12 0

Which of the following is equivalent to 1 cos 0 1 cos 0 csc 0 O sin 0 O cos 0 01 cos 0 O None of the above sin 0 1 cos 0

Rajah di bawah menunjukkan satu graf tak terarah dan berpemberat The diagram shows an undirected weighted graph DO 6 3 A H U 8 13 9 G 10 5 B 14 F Jumlah nilai pemberat minimum pokok bagi graf itu ialah 4p q Jumlah nilai pemberat maks pokok bagi graf itu ialah 4p q 2 Hitung nilai p dan nilai q The minimum total weight of the tree for the graph is 4p q The maximum total weight 5 markah 5 m tree for the graph is 4p q 2 Calculate the values of p and q

Temperature as a function of distance This will also be continuous as temperature cannot randomly fluctuate c Need not be continuous because the altitude is usually not measured in very very minute changes So this could be discontinuous d The cost of a taxi ride is also not continuous because with each very minute increase in km value we d not see anychange in the charge e Also continuous

Solve the equation 5x Step by Step Solution Step 1 Isolate the term containing the variable To isolate the term containing the variable x of the equation 5x 7 18 7 to each side of the e

Solve the linear equation using the Addition Property 3 17 x

Two cellphone companies are offering different rate plans Rogers is offering 19 99 per month which includes a maximum of 200 weekday minutes plus 0 35 for every minute above the maximum TELUS is offering 39 99 for a maximum 300 weekday minutes but it charges 0 10 for every minute above the maximum Above how many minutes would TELUS be the better choice

6 5 TE b Give the domain of f x Use interval notation 5 a Enter an equation of f x as a transformation of the absolute value function y x c Give the range of f x Use interval notation 4 8

The probability a 25 year old male passes away within the year is 001430 He pays 275 for a one year 160000 life insurance policy What is the expected value of the policy for the insurance company Roune your answer to the nearest cent

A table for g z is shown below X g x 3 1 X h x 2 0 1 0 2 3 Based on the table g x Of x 1 f x 1 f z 1 f x 1 A table for h x is shown below 2 1 0 0 1 Based on the table h x f x 1 f x 1 f x 1 f x 1 1 4 1 1 22 2

The following information about functions f g and h is provided Calculate the indicated value f 1 7 f 2 6 f 3 2 g 1 4 g 2 2 g 3 5 h 1 9 h 3 5 Give an exact answer Use symbolic notation and fractions where needed f g 1 g 4 7 h 4 2 8 5 6

Simplify the expression 4 3u 2

2 Travis s income is 4800 a month and he plans to budget 1 of his income for groceries and of his income for water 5 Step 1 of 2 What fraction of his income does he plan to spend each month on these two items together Express your answer in lowest terms

7 Express the following using exponents 64x30 y7

If each side has a scale factor of 1 in to 4 ft the actual perimeter is and the actual area is O64 ft 48 ft O48 ft 64 ft2 O192 ft 64 ft O64 ft 192 ft 27 If there are 89 people in a track team and 17 are boys what is the probability that a person chosen at random will be a girl O 72 89 O about 81 both of these

31 Given two circles whose radii are 2 and 6 the ratio of their areas is what Mark all correct answers more than one answer may be correct 1 9 1 to 9 1 to 3 1 3 1 3

11 The Triple E Lumber store found that 1 out of every 10 chain saws they recently received were not properly assembled If they received 435 chain saws about how many chain saws can they expect to be faulty O435 5 chain saws O 43 5 chain saws O 44 chain saws O435 chain saws 12 How many ml of 10 percent acid should be added to pure acid to make 70 ml of 50 percent acid O 44 33 ml 38 89 ml

18 Given two circles whose radii are 35 and 28 the ratio of their areas is 25 to 8 O 10 to 16 O 25 to 16 O 5 to 4 19 The Town Theater receives 3913 5 by selling 537 tickets to the opening night of the musical If the full price of a ticket is 9 25 and discount tickets for students and seniors are 5 50 each how many discounted senior student tickets were sold

O 5 55 O 118 26 O 55 48 O 11 83 14 If there are 97 people in a room and 17 are boys what is the probability that a person chosen at random will be a girl State your answer as a percentage rounded to the nearest hundredth x 15 Using the set N 2 3 5 7 9 what is the probability of choosing an even number

9 There are 54 pencils in a box 27 pairs 1 pair s are silver 6 pairs are green and the rest are black If you took out a black pencil and you didn t put it back what is the probability that you pull out another black pencil If you enter your answer as a decimal round to the thousandths place x

One side of a square flower bed is 13 feet long How many plants are needed if they are to be spaced 13 inches apart around the outside of the bed flowers

Use the distributive property to remove the parentheses 2 4x 4y

Order 2 grams antibiotic divided into 2 doses Available 750mg 5mL suspension How many mL s should the nurse administer per dose Round to the nearest tenth

10 HW Select the correct choices to complete the following sentence The area of a rectangle is the product of its and its Area is measured in units square cubic

Solve the proportion and check 3 4 p 12 The solution set is Type an integer or a simplified fraction

Click here to watch the video Reduce 84 84 90 Type a fraction as your answer 90 to lowest terms

Use the negative exponent rules to simplify 8 8 5 y

Solve each question Round your answer to two digits 2 Working alone Micaela can sweep a porch in 9 3 minutes One day her friend Huong helped her and it only took 4 5 minutes Find how long it would take Huong to do it alone A 10 55 minutes C 11 23 minutes B 8 72 minutes D 7 82 minutes 4 Kim left the White House driving toward the ocean two hours before Kathryn Kathryn drove in the opposite direction going 10 mph slower than Kim for three hours after which time they were 410 mi apart What was Kim s speed A 65 mph C 30 mph B 55 mph D 60 mph 3 3 Kayla left home and drove toward the lake Trevon left one hour later driving 10 mph faster in an effort to catch up to her After five hours Trevon finally caught up What was Kayla s average speed A 69 mph C 30 mph B 50 mph D 67 mph

Simplify the following expression 5an 3 2 2 5an 3 2 20

Evaluate each using the values given 18 p p 3 use p 3 4 and q 4 6 B 3 96 D 6 66 A 1 56 C 5 36

Use the quotient to a power rule to simplify All variables are nonzero 5 A 4 12 2

1 4orr Solve each inequality and graph its solution 11 0 6 0 2n 0 8 0 5 A n 2 4 or n 2 0 9 B n 3 1 or n 4 32 C 2 4 0 9 D n 4 5 or n 3 5 Solve each equation 12 12 3 42 2x 67 A 6 c 6 3 C 343 6 5 4 3 2 10 10 10 B 7 9 D 7 40 2 3 4 5 0 0 13 13

14 14 6 x 1 A 7 C 7 7 B 2 2 D 3 3 15 15 1 10 x 19 A 10 10 C 9 9 B 6 6 D 2 2 Z

HOMEWORK Working with Fractions Perform the operations without using a calculator 22 9 18 11 1 4 7 8 7 10 10 2 5 s 2 70 8 8 12 6 2 1 20 4 3 6 10 11 5 Block 3 36 6 3 9 3 10 17 4 20 5 13 12 2 1 20 4 15

1 3 2 45 3 3 rad rad 4 Y 2x 3

Stimulus 4 3 Application of Systems Chorus Concert Adults and Children Jennifer s school is selling tickets to a chorus concert On the first day of ticket sales the school sold 3 child tickets and 1 adult ticket for a total of 38 On the second day of ticket sales the school sold another 3 child tickets and 2 adult tickets for 52 Find the cost of each type of ticket Let represent the cost of a child ticket and let y represent the cost of an adult ticket S 7 8 1 point Determine which two equations represent the scenario Before moving to the next question make sure that you write down the the two equations you ve chosen 2x 3y 52 3x y 38 3x 2y 52 x y 38 x 3y 38 x y 52 10 1 point Using the two equations you chose from part 1 determine the solution to the system Enter a numerical value only The cost of a child ticket is type your answer dollars and the cost of an adult ticket is type your answer dollars D

Use the system of equations below to answer the following questions 2x 3y 15 2 3y 3 3 4 easiest to is 1st equation isolate x 1st equation isolate y 2nd equation isolate x 2nd equation isolate y cannot be determined 1 point Using the equation you chose from part 1 rewrite the equation isolating the variable you determined was the easiest to isolate 00 Type your solution below If needed represent the constants in your equation as fractions using the backslash no decimals choose your answer type your answer 1 point Continuing with the substitution method find the solution to the system D

1 Do your best Take your time Meet with your lab instructor to discuss these questions 1 point Determine which method is MOST appropriate to solving the system Choose each method only once System 1 y x 3 y x 2 System 2 2x 3y 6 x y 4 System 3 x y 5 2x y 7 01 If you do not correctly match all 3 systems this question will automatically be marked incorrect therefore I wi be grading your submission and assigning partial credit System 1