Mathematics Questions and Answers May 28, 2020

2 5 8 3 10 6 11 Recursive Explicit Definitions Given the explicit definition t n 2n find t a 1 b 8 Oc 1 100

fog x and gof x are the same function This statement is a always true b true for most functions f x and g x c false for most functions f x and g x d always false

How many different license plates consist of 3 letters followed by 2 numbers te letters or digits are t license plates

Let f x 7 x 3 Domain Find the domain vertical asymptote s and horizontal asymptote help intervals Vertical Asymptote s numbers Horizontal Asymptote C Ex Find the Intercepts Asymptotes x 1x 12 X 4 XX 3 x 4 x 3 x 2x 4x 16 2 x 2x 5 2 x 4Xx 2 2 x 2 x 3 y intercept set x 0 0 2 f 0 2 2 2 1 x intercepts set f 0 3 0 Enter as a comma separated list if more

aluate each of the following problems Show proper work for full credit 13 72m n8 Evaluate the expression 1 16 16 4 14 10 80x y 2 729 121 5 15 3 60y6 3 32 7 5

Find all the missing elements B 14 15 70 A b C B C b Round to the nearest tenth Enter

3 Create a trigonometric function that has an amplitude and a maximum of and a period c f x

Create a trigonometric function that has an amplitude and a maximum of and a period

Question 19 1 point E Listen Which general form of the following equations would represent the graph below 2 1 30 y 20 10 Oc f x ax b 10 20 30 a f x ax bx c b f x ax bx cx d d f x ax b cx dx e

Eddie Watts bought 1 500 shares of a Solar Energy stock at 88 per share and paid a sales commission of 40 plus 0 02 per share He sold the stock at 96 per share plus a sales commission of 30 plus 0 03 per share a What was the amount of the sale b What was the profit or loss from the sale

If the current yield of a bond goes down from 6 3 to 4 4 by what percent does the market price increase Round your answer to the nearest percent

The boundary of the solution of 2x 3y 5 is the graph of 3y 2x 5

The boundary of the solution of 2x3y 5 is the graph of 3y 2x 5.

5x Solve y 15e 2sinx given that the solution passes through the point 0 4 a y 15e5x 2cosx 21 b y 3e5x 2cosx 9 c y 75e5x 2cosx 77 d y 3e5x 2cosx 5

38 Solve for x in the equation x4 81 0 Leave your results in polar form What is one of the answers A 3 cos 90 i sin 90 OB 3 cos 112 30 i sin 112 30 3 cos 157 30 i sin 157 30 C D 3 cos 135 i sin 135

11 Answer the following given the equation PART A State the excluded values domain restrictions IF Enter answers in order Least to GREATEST For the SECOND excluded value if there is none then type in 9999 7 PART B State the LEAST Common Denominator LCD PART C Solve 6 22 13x 42

Put the following in a bi form en te in a 2 eri a 4 i 7 6 and b and b

Use transformations of f x to graph g x Select the correct graph OA 2 B 5 O C Q Q Q C O D

Find each product Write your answer as a proper fraction o b c d 3 2 210 3 e 4 1 3

Determine If not M on IR x y xy x y y as R is a field which of the axioms A1 A4 M M4 00

While visiting her grandparents Lucy found a box with a surprising number of spare keys Lucy figured that the color of the sticker on each key must indicate what the key was for When Lucy tested the keys she was surprised to find that this was not the case Front door of the house Back door of the house Car Blue sticker Green sticker 5 5 2 2 3 8

The length of a rectangle is equal to four times the width Which equations can be used to find the length L and width W of the rectangle if the perimeter is 86 centimeters Select all that apply OA L 4W B L 2W 86 G 2L W 86 D 2 L W 86 E 4L W

Simplify the following expressions completely A 4 B 64

Simplify the following expressions completely

Calculate 2 3i Give your answer in a bi form

Calculate (2 3i)8. Give your answer in a F bi form

Which histogram below shows a data set that is skewed right Frequency Frequency 87654321 Frequency 54427765 1 1 2 3 4 5 6 7 8 9 10 Data Value 1 2 3 4 5 6 7 8 9 10 Data Value 1 2 3 4 5 6 7 8 9 10

Must show logical work steps for full credit total 50pts 1 10pts The height of the tide in a small beach town is measured along a seawall Water levels oscillate between 7 feet at low tide and 15 feet at high tide On a particular day low tide occurred at 6 AM and high tide occurred at noon Approximately every 12 hours the cycle repeats Find an

Which of the following is the inverse of f x 4x x 0 O j x x 2 0 x 2x O Of x 2x O x 1 20

Solve the right triangle ABC where C 90 Give angles in degrees and minutes a 13 00 m c 22 00 m b A B m Round to the nearest hundredth as needed Round to the nearest minute as needed Round to the nearest minute as needed O

tion 14 of 16 Step 1 of 1 Correct lify the following expression using rational exponents Assume all variables are positive 5x y 3 x 2y3

A population grows from an initial size of 10 people to an amount P t given by P t 10 3 0 5t t 3 where t is measured in years from 1996 Find the acceleration in the population t years from 1996

Simplify each expression CSC 8 1 sin 8 O2tan 9 tan2 2tan 9 0 0 O 2 cot 9 cos 8 1 sin 9 Question 6

1 Save Exi Question 5 of The right tria 37 and legs 12 and 35 is shown 0

Question S o The right tri. 37 and legs 12 and 35 iS shown o.

2 15 What is an equivalent form of 3 i A B C D 31 4 4 31 5 5 4 1 55

18 9 m 4 mA 130 b 29 mi c 25 mi

4) mZA 1300, b29 mi, c25 mi

George secured an adjustable rate mortgage ARM loan to help finance the purchase of his home 5 years ago The amount of the loan was 400 000 for a term of 30 years with interest at the rate of 9 year compounded monthly Currently the interest rate for his ARM is 2 5 year compounded monthly and George s monthly payments are due to be reset What will

Graph the following function 1 7 g x Use the graphing tool to graph the function Click to enlarge graph 2101 F16 12 811 41 20 16 12 8 8

Draw the graph of f x 4 7 6 5 4 3 2 Clear All Draw 7 6 5 4 32 H 2 23 4 5 6 7 1 2 3 4 5 6 7

Which function has the graph shown A y sinx B y secx C y tanx D y cotx 72x 2 1 2 3

Suppose 12 is raised to the second power like this 122 Which answers show the inverse operation There is more than one correct answer Select all that apply 12 2 O 121 12

9 y x 2 x 3 y x 2 x 3 2

91

Systems of equations that have different slopes and different y intercepts have Select Choice

Systems of equations that have different slopes and different yintercepts have Select Choece

To produce x units of a religious medal costs C x 13x 70 The revenue is R x 23x Both cost and revenue are in dollars a Find the break even quantity b Find the profit from 530 units c Find the number of units that must be produced for a profit of 100 a units is the break even quantity Type an integer b The profit for 530 units is C units make a

For dessert there are 4 choices of ice cream 3 choices of syrup and 5 aditional toppings How many diffrent desserts can we chosen

Simplify 1 4 8 3 5 50 5 4 80 7 4 20 9 5 64 11 80 13 3 12 15 3 8 7 2 27 2 3 48 4 4 30 6 2 48 8 3 16 10 45 12 2 64 14 5 18 16 4 50 18 2 18

Using a new lawn mower Abby can mow the lawn in 2 hours Her sister Carla uses and older mower and takes 3 hours to mow the same lawn How long will it take them if they work together

Identify a pair of corresponding angles in the diag

Identify a pair of corresponding angles in the dia

12 Consider the graph of y x shown to the right as a dotted curve If it is translated 2 units to the right reflected vertically and then shifted 5 unit up draw the resulting function I 7 6 5 4 3 2 1 2 1 0 1 2 5 1 2 3 4 5 6 7 8 9 10

Question 4 23 points At a Junk Yard a study was conducted using 48 cars and found that the average mileage on a car before it was junked was 164 000 and the population standard deviation is known to be approximately 28 000 Construct a 99 confidence interval of what the actual average mileage is for a car before it is junked O 136000 192000 O 4

POSSIBLE POINTS 4 Donald is on a school baseball team and has 12 base hits in 98 at bats so far this year He wants to raise his average to 210 How many of the next consecutive at bats need to be base hits to raise his batting average to 210 Write and solve an equation to describe this situation for the number of consecutive base hits MATH T

A m Line w is steeper than Line B m 3 N A 0

B) Line is steeper than Line

Figures Proportion Level 1 f Triangle DEF is similar to triangle GHI Find the measure of side IG Round your answer to the nearest tenth if necessary Similar Apr 21 11 32 47 PM F 7 E D H 31 G

Solve If no solution exists state this 3 1 1

Solve. If no solution exists, state thi 1

Find the average rate of change of the function f x 1x 5x 8 over the interval 4 1 Average rate of change Give exact answer

Convert the complex number from polar form to rectangular form a bi Give an exact answe 3x i The rectangular form is D EC

2 How is 32 different from 3 How does that affect the answer Write your answer in the space provide BiU Font Family AA A

Question 7 of 23 Step 1 of 2 Consider the following system of equations 4x 5y 3 0 4x 2y Step 1 of 2 Determine if the point 1 2 lies on both of the lines in the system of equations by substituting the ordered pair into both equations Answer 2 Points 00 58 31 Yes No Key Keyboard Shor

Solve the given equation Enter your answers as a comma separated list Let be any integer If there is no solution enter NO SOLUTION 2 cos 0 cos 0 1 0

Find the measure of each angle indicated 13 55 85 75 46

Find the measure of each angle indicated.

16 of 25 Give the logarithmic equation in exponential form Then give the exponential equation in logarithmic form In 7 d 10

In the case of multiple offers being received the listing broker should OA first present the highest priced offer then the next highest priced offer and so on OB first present the offers produced in house OC present them as soon as possible in each case OD first present the offers produced by cooperating brokers

3 Find the coordinate vector of w 0 1 relative to the basis S 1 2 where v 1 1 and v 1 1

Rewrite the following in logarithmic form a 44 256 log4 256 4 b 10 x log 0 x 2 c e 9 log 9 x X syntax error X

2 f x log3 x 1 2 f x X Domain Range Asymptotes

2) log3(X 1) 2 x Domain Range Asymptotes

Farmer has 7 500 meters of fencing and wants to enclose a rectangular plot that borders on a river If Farmer does not fence the side along the river what is the largest area that can be enclosed X 7 500 2x X

If 0 111 0 777 is an interval on the number line find the value that is in the middle of the interval The value is Type an integer or a decimal Do not round

Graph the equation on paper then choose the correct graph y log 6x Choose the correct graph O A O C OB 4 O D

Find the coordinates of the other endpoint of the segment given its midpoint and one endpoint Hint Let x y be the unknown endpoint Apply the midpoint formula and solve the two equations for x and y midpoint 1 24 endpoint 1 19 The other endpoint is rdered pair

54 Solve x 5 49 A x 2 56 A 0 B x 2 x 2 55 Use the discriminant to determine how often the graph of y HINT you need to use the discriminant The formula for the discriminant is b 4 A 36 B 1 2001 3 C x 2 x 12 SNO 6 C 2 What number should be added in order to complete the square x 12x D x 44 x 54 144 x 2x 4 crosses the x axis D 12 72

A radioactive substance decays at a continuous rate of 9 9 per day After 14 days what amount of the substance will be left if you started with 180 mg a First write the rate of decay in decimal form T b Now calculate the remaining amount of the substance Round your answer to two decimal places

se transformations to graph y 10x se the graphing tool to graph the function Click to enlarge graph Cao um STE MET Vertical Stretch or Compression a LLLLL Del Cle Horizontal Stretch Compression ddddd

Determine the missing digit denoted with X for the valid traveler s check below 50 03 00 05 Fifty Dollars 1 80000005189 783920380X Ir HZ 783 920 380 50 Date World United Traveler s Cheque Payable to the order of OHayden McNeil LLC

wer p x Fourth degree and a single zero of 3

Fourthdegree and a single zero of 3. wer p(x) I

3 rences TB MC Qu 12 50 Algo The financial statements of Gregg Company reported The financial statements of Gregg Company reported wages expense of 352 000 during Year 2 wages payable of 44 800 at the end of Year 1 and wages payable of 61 600 at the end of Year 2 What amount of cash was paid for wages during Year 2 Multiple Choice 335 200 352 000

This question is not about solving the stated problem but about understanding it A rocket is launched and its height above sea level t seconds after launch is given by the equation h t 4 9t 1100t 230 a From what height was the rocket launched To answer this question we d find Select an answer b What is the maximum height the rocket reaches To

4 1 10 8 6 LLI y OLL 8 Otr y IA 4 1 10 1 XA

109 10

W 3 4 3 2 2 1 1 2 3 3 1 2 3 meen medion mode 3 2 2 4 3 2 25 3 they make sence A only the mode makes sense Bonly All of them make the mean and Medien make Sense the mean and mode make sen

For how many months do you need to invest your money into a bank account earning an annual interest rate of 8 73 compunded monthly if you want to triple your investment

5 Jed is working on a stained glass project and needs to form a triangle with sides of 8 12 and 15 Inches out of lead cane to enclose the glass To the nearest tenth of a degree what is the largest angle they need to create using the lead caning

36 Determine the nature of the roots of the equation 2y 7y 10 0 A No real roots 2 complex solutions B One real rational solution C Two real solutions 2 rational roots D Two real solutions 2 irrational roots

Sylvia Dylan and Ethan are solving a division problem with scientific notation Sylvia 3 61210 11 4 12107 88x10 18 8 8x10 1 17 Dylan 3 6110 11 4 12107 88x10 8 8x10 19 18 Ethan 3 612101 4 1x107 88x10 H 8 8x10 5 1 Explain Sylvia s processes Is Sylvia correct If not where did she go wrong 2 Explain Dylan s processes Is Dylan correct If not where did

Q 12 For nonnegative integers s and r let if r s S 3 Sol s r s r 0 if r s For positive integers m and n let m nf m n p n p g m n p 0 where for any nonnegative integer p p n f m n p m n 1 P i 0 Then which of the following statements is are TRUE A g m n g n m for all positive integers m n B g m n 1 g m 1 n for all positive integers m C g 2m 2n 2g m

40 Which of the following is the solution to A 0 3 B 0 3 C 0 0 3 D 0 0 3 x 3 0

Consider the data set 30 40 50 80 100 What is the mean absolute deviation of the data set 0 24 29 60

1 O A child is about how Choose the correct O 95 mm

A child is about Choose the correct 95 mm

Sum f g x Difference f g x Product fg x Quotient x

Sum g (x) Difference (f Product (fg)(x)

19 Simplify the following radical 24 a 2 6 c 2 12 19 28 a 7 2 c 4 7 b 4 6 d 3 8 b 7 4

Find how much time it takes until a rain forest whose area is reduced by 50 every 14 years reaches one eighth of its starting area The rain forest reaches one eighth of its starting area in years

Isolate the literal equation A bh for h 2 a h O b b h 26 2A O c h 2Ab d h 2b

Using the Law of Sines to find all triangles if ZA 46 a 23 b 26 For the obtuse angle we have If no answer exists enter DNE for all answers LB is degrees ZC is degrees d For the acute angle we have If no answer exists enter DNE for all answers ZB is degrees degrees ZC is C Round all answers to the hundredths place Arcum Air conocito sido a Rir oppo

What is f g x f x x 8x g x x 3x 2 Write your answer as a polynomial or a rational function in simplest form

Chapter Quiz 7 TB MC Qu 08 103 Static Plerce Corporation

na TB MC Qu. 08103 (Static) Pierce corporation

Chapter QUIZ 6 TB MC Qu 08 47 Algo Laramie Compan Laramie Company paid 1 600 000 for a purchase tha been purchased separately Land 374 000 Building

Question 9 of 16 Step 1 of 1 Correct Simplify the following expression using rational exponents Assume all variables are positive Answer 5x7 5x x7

Solve the equation for the variable Reduce any fractions to lowest terms If there is no solution say SO 2 3x 5 6 x 2 X There is no real solution X 0 X 2 1 6

Fill in the blanks a The freezing point of water in the me b The boiling point of water in the met c Normal body temperature in the me a The freezing point of water in the metric b The boiling point of water in the metric s c Normal body temperature in the metric s

Consider the following relation X 5lyl 3 Step 1 of 2 Find four points contained in the inverse Express your values as an integer or simplified fraction Answer D C

A company plans a major investment and the amount of profit is uncertain but researchers give the following estimate for the distribution Profit in millions Probability 1 0 1 1 5 0 2 2 0 4 0 2 What is the expected value of the profit 1 million dollars 10 0 1 Enter

Choose the correct graph of f x 11 below OA 0 The domain of f x 11 is Type your answer in interval notation The range of f x 11 is Type your answer in interval notation OB Ay O C O D AY Q

A grocer wants to mix two kinds of nuts One kind sells for 1 00 per pound and the other sells for 1 80 per pound He wants to mix a total of 21 pounds and sell it for 1 25 per pound How many pounds of each kind should he use in the new mix Round off the answers to the nearest hundredth AnswerHow to enter your answer opens in new window 2 Points

Determine the domain and range of the function 4 3 2 Part 1 of 2 3 Part 2 of 2 N 2 3 y 2 3 4 The domain of the function in interval notation is 0 0 0 0 0 X C

Determine the shaded area 22 in 22 in

Determine the shaded area. 22 in. l 22 in.

Use synthetic division to find the result when 3x 10x 15x 1 is divided by x 2 r x d x Write your answer in the form q x Provide your answer below where q x is the quotient r x is the remainder and d x is the divisor