Complex numbers Questions and Answers

22 Rewrite using only positive exponents 10 5x y z4

10 When is the expression a negative What is your reasoning Check all conditions that apply when n is negative and odd when a is negative when x is odd when n is odd when is negative and odd when n is negative

y 3 3 O graph c O graph b O graph d O graph e equation C a

Write the expression as the product of two functions sin 1 2 7 sin

15 Solve the exponential equation 16 4x 2 64 3 1 I

5 Solve the equation 7 10x 12 13

y 32 O graph e O graph f O graph a graph d Ograph b graph c SAVE EXIT SUBMIT ALL A

3 Refer to the image below Which graph corresponds to the following equation y O graph b O graph c O graph f graph a graph e SAVE EXIT All changes saved SUBMIT ALL ANSW

7 Solve the exponential equation 2x 8 4 3

1 Refer to the image below Which graph corresponds to the following equation y 4 4 C O graph b O graph f O graph c b H e All changes save

2 Find a fourth degree polynomial function with real coefficients that has 1 1 and 3i as zeros and f 0 18 Express the polynomial in factored form with only real numbers Hint Multiply any factors containing non real numbers to get the final factored form Don t forget to use f 0 to solve for a

What are the restrictions on the domain of the product 6 5 25 2 8 9 2a 18 Ox 9 1 15 Ox 5 5 9 Ox 5 1 19 Ox 9 5 5

4 A troupe of skydivers got hired to put on a show for some war veterans The show organizers have asked the skydivers to use vintage replica round parachutes The accountant needs to know the exact material cost to manufacture some new round parachutes so he can determine if the show will be profitable after expenses Given the formula A Tr2 find the area A of the parachute whose radius r is 6 6 x 10 ft Use 3 14 for TT ft A

7 Your boss needs to know the exact material volume of molded pyramid shaped toys so she can determine the exact cost of raw materials Given the formula V s h find the volume V of the toys if s 3 3 x 10 0 mm and h 8 7 mm V mm

1 Given the formula A r find the area A of a circle whose radius is 0 000000000682 feet O 5 184 x 10 18 7 feet O 4 65124 x 10 9 feet T O 4 91401 10 18 feet T O 4 58329 x 10 20 feet T

3 Evaluate express final answer in scientific notation 74760000000000000 840000 C

15 Write the following in decimal notation 2 756 10 00 2 756 01 O 275 6

7 Write the following in scientific notation 9542000000000 answer

4 Write the following in decimal notation do not put any commas in your answer if the number is large 5 96 10 3

15 Evaluate the following expression if g 9 and h 6 g h

12 How can you tell if a real life situation models exponential growth its graph will decrease more and more as you move right its graph will increase more and more as you move right O the graph will be a straight line with positive slope the graph will be a straight line with negative slope

11 What could this graph represent spider population trend after much of the spiders food source has died off spider population trend after 3 years of optimal food and water and ideal habi spider population trend after the introduction of a new usable food source

5 In a small town named Avil s the population today is 1828 For the last six years the population has grown by 18 every year If the growth stay the same what is the expected population in Avil s 3 years from today population 3 years from now

1 In a particular small town the population today is 4142 For the last four years the population has grown by 9 every year If the growth stay the same what is the expected population 15 years from today population 15 years from now

A Choose the graph for the inequality y 3x 3 4 2 22 1 D 24 B 19 A 2 4 2 24 in 24 C 4 2 2 2 N 24

9 Suppose you have 920 to invest in an account that earns 6 percent each year How much money will you have after 15 years Round to the nearest penny amount after 15 years is

8 Which function will have the greatest value at x 41 Oy 9x Oy x 8x 66 O y 1 1933

19 1 4 9 6 8 2 4 A y 5 x 3 C y 5 x 31 6 8 Identify the equation for the graph B y 5 x 31 D y 5 x 3

Evaluate and simplify the expression when x 2 and y 1 2x y x y

9 Evaluate the expression 2xy when and y 2 3 2xy

2 Identify the expression for the volume of a rectangular prism if the length is 9 m longer than some c amount the width is 3 m shorter than c and the height is c m Answer V s m

Find all the missing elements Round to the nearest tenth C a b B C A B a 10 b 7 c 6 A B C Enter

In 1990 there were 400 people in Mathtown Each year the population grew by 2 until this year 2023 when the population started to decrease by 3 a year What will be the population 40 years from now 40 years from 2023

Use integration by parts to evaluate the integral 2xe7x dx 2x If Su dv S2xe7x dx what would be good dx what would be good choices for u and dv OA u e7x and dv 2xdx OB u 7x and dv 2xdx OC u 2x and dv e7xdx OD u 2x and dv 7xdx 2xe7x dx

Determine the shaded area 22 in 22 in

6 Rewrite using exponents Do not evaluate 2 2 2 answer

14 Evaluate Try to do this without a calculator 26

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

8 Evaluate Try to do so without a calculator State your answer as a fraction answer

4 Rewrite using exponents Do not evaluate 11 x 11 x 11 x 11 x 11 x 11 x O 1156610 O 11 6 10 6 5 4 O 11665104 O 11 6 10 6 5 4 6x6x6x6x6 x 10 x 10 x 10 x 10

1 Rewrite using exponents Do not evaluate 10 10 10 10 10 O 10 5 O 105

20 Solve the system of equations x y z 82 x y z 34 x y z 6

A phone company has set the price for international calls to have a flat rate cost of 2 50 and additional 40 cents per each minute or fraction of a minute used If Tim has 6 90 to spend on a phone call with this phone company the maximum total time he can use the phone is A minutes

10 Considering these two equations y 9x 16 y x 92 What does the x equal in the solution of the system of equations 09 O 8 O 88

9 Solve the system of equations x 2y 15z 229 2x 4y 15z 217 15 225 y Z

5 State the type of system of equations 13x 13y 13 2x 9y 1 O Inconsistent O Consistent and dependent O Consistent and independent O None of the above

13 On a separate piece of paper solve the system of equations by graphing and check each solution with the feedback after submission 5y 7x 20 5y 4x 5 More than one answer may be correct check all that apply x 3 x 2 y 6 Oy 2 Oy 3 0 x 5 These two lines have no solutions These two lines have infinite solutions

9 On a separate piece of paper solve the system of equations by graphing and check each solution with the feedback after submission x y 4 4y 16 8 y 1 7 O y 4 0y 7 z 3 These two lines have no solutions These two lines have infinite solutions

1 State whether the linear system of equations is consistent or inconsistent independent or dependent 45x 5y 5 2y 6 8x O Consistent and dependent O Consistent and independent O Inconsistent

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