Complex numbers Questions and Answers

Show Transcribed Text a 7 7 3i The polar form is Show Transcribed Text b 7 7 3i

Plot the following points r 0 on a polar grid a 2 30 b 3 60 c 4 120

Write an explicit and a recursive formula for the sequence 0 6 12 18 24 Write an explicit formula an Simplify your answer

Boris wants to measure the width of a river He marks off two right triangles as shown in the figure The base of the larger triangle has a length of 57 m and the base of the smaller triangle has a length of 31 m The height of the smaller triangle is 15 8 m How wide is the river Round your answer to the nearest meter The figure is not drawn to scale 57 m River 31 m 15 8 m m X 5

Question 6 Find the slope of the graph and describ 2 1 y 4 3

Factor the polynomial completely using trial and error 50p 145p 15 Submit Question

Factor the polynomial completely using trial and error 7w 22w 3 Submit Question

c 10c 9c 3 Submit Question

5 Which inequality represents all possible solutions of 6n 12 n 2 n 72 n 72 n 2 6 Consider this right triangle 21 A C 20 29 B Enter the ratio equivalent to sin B

1 Elimination 2x 9y 25 4x 9y 23

The maximum speed of a semitrailer truck up a hill varies with the weight of its cargo With no cargo it can maintain a maximum speed of 50 miles per hour With 20 tons of cargo its maximum speed drops to 40 miles per hour At what load does a linear model predict a maximum speed of 0 miles per hour

3 What is the solution to the equation m 3 Om 3 Om 6 O all real numbers no solution m 9 m 3 m m g

Multiply and simplify the result 7x x 2 x 2 4 28x 3 42x x 2

1 2 What is the solution to the equation 5h 5 Oh Oh 5 Oh 7 Oh 11 3 21 2 h 25 16

2 Line g is dilated with a center of dilation at A The image is line f Approximate the scale factor Lesson 3 4 B 8 0 g f

Given f x write an equation for f x and then graph f x and f x on the same coor 6 f x 9 x 0

Find the value of each of the following using only the given diagram 0 7 0 7 24 sin 495 26 sin 1 0 0 9 0 5 180 135 210 270 60 Sho 0 5 0 9 315 0 7 0 7

8 Solve for ZS 18 3 km T 42 57 35 7 2 km Q R 12 4 km

Valve Feb 27 1 57 15 PM Watch help video Jocelyn invested 3 700 in an account paying an interest rate of 1 5 compounded continuously Assuming no deposits or withdrawals are made how much money to the nearest dollar would be in the account after 6 years

Feb 27 1 39 26 PM Watch help video Zachary invested 130 in an account paying an interest rate of 3 6 compounded daily Assuming no deposits or withdrawals are made how much money to the nearest dollar would be in the account after 11 years

In each of the following problems write how you can use ballparking to eliminate at least one of the answer choices The goal is not to work the problems yet but to practise the strategy of ballparking with process of elimination so that it becomes automatic when arriving to questions you re not certain about Submit a paper to this assignment with your work 1 On a level field a telephone pole 24 feet tall casts a shadow 6 feet long and at the same time of day another nearby telephone pole casts a shadow 18 feet long How many feet tall is the second telephone pole A 6 B 12 C 24 D 36 E 72 W 2 The membership fees for WebFilms consist of a monthly charge of 14 and a one time new member fee of 16 Sherwood made a credit card payment of 100 to pay his WebFilms fees for a certain number of months including the new member fee How many months of membership did Sherwood include in his credit card payment F 4 G 6 H 7 J 12 K 14 3 A 16 piece orchestra wants to choose one of its members to speak at performances They decide that this member CANNOT be one of the 4 soloists in the group What is the probability that Itzhak who is NOT a soloist will be chosen as the speaker A 0 B 1 16 C 1 12 D E

Consider the equation pN kVT where k is a constant Select all of the correct answers that describe the variation between variables p varies Select N varies Select T varies Select N varies Select with V with p with V with T

K Solve the system of equation as a solution state whet pair

5 Prove that the following statements are equivalent a P is a projective module b For every surjective map MM and for every map f PM there exists a ma g P M such that the diagram commutes M M g P 0

Q1 For each given pair of points x y the x and y angle between In each case iv proj y x calculate a x 2 3 1 0 b x 5 2 1 1 c x below i as o ii proj y projy x y 0 3 2 Odenots 0 1 0 1 0 y 2 3 y 2 3 1 0 0

3 Using a total of 7 candles complete the table below for the number of green candies and the total number of points when the number of red candies is 1 2 3 4 and 5 Red Candies Green Candies Total Points 1 2 3 4 6 5 4 Do the results in your table support your answer for Item 2 above Explain your answer Part 2 Design your own game based on a set of two parameters Write out your game as a word problem describing how your game works and what you are solving for Then solve your word problem by completing these items 1 Create a table for your outcomes 2 Write a system of equations 2 equations with the same variables and solve the system algebraically using substitution or

Let A be the coefficient matrix of the system 3x 4y z 8 2x 7y z 1 8x y 5z 2 Now add the following cofactor entries of A C21 C13 and 3C23 to get the resulting

owing system of equations If the system is dependent express the x 3y 7 y 5z 22 2x 7y 6z 47

Complete the following vector sum The vector a i 4j 6k is the sum of a vector u that lies in the direction of b i j k and another vector that is perpendicular to b a u v i 4j 6k i You entered j k i j k

1 Find the Laurent series expansion of about z 0 and z 2 f z 1 z z 1 z 2

Sabine records the daily heights of a random sample of bamboo stalks in inches They are 20 19 17 16 18 15 20 21 Consider the formulas A 5 1 x x 2 1 B s x x x x x x n 1 C 0 4 x x N x 4 x xx N D Which formula should you use for variance Which formula should you use for standard deviation DONE

6 6 Graphing LINCO Graph the equation using the slope and the y in 3x 2y 2 0 graph the line Use the

Use the slope intercept form to graph the

Student Bookmarks Ariana Grande sw Classes Look at this graph 8 6 Power SCITOUL 4 2 6 8 10 6 4 2 0 2 4 GOOT PRELEF 2 4

Throughout the 2018 2019 baseball season a player has accrued the following statistics Singles 57 Doubles 9 Triples 0 Homeruns 8 At Bats 251 a What is the player s batting average b What is the player s slugging average slugging percentage

0 AABC is right angled at A and has AB AC Point D is on BC so that AB BD Point L is the midpoint of AD Let P be the point on the circumcircle of AADC so that ZAPB 90 Prove that LPC 90

x log 2y 2 log x log 2 log y Select one True O False

stems of Linear Question Solve the system of equations by atoto whether the syst

Look at this graph 0 1 2 3 4 5 6 7 8 9 10

06 03 LC Match the name of each gas law to the properties it compares Boyle s law Charles s law Gay Lussac s law A Temperature and volume B Pressure and volume C Pressure and temperature

What is the c value needed to complete the square for the following quadratic x 10x 14 0 5 10 14 25

Suppose you owe 400 on your credit card and you decide to make no new purchases and to make the minimum monthly payment on the account Assuming that the interest rate on your card is 2 per month on the unpaid balance and that the minimum payment is 4 of the total balance plus interest your balance after t months is given by B t 400 0 9792 Find your balance at each of the given times Complete parts a through e below After six months the balance is S Round to the nearest cent as needed b one year remember that t is in months After one year the balance is Round to the nearest cent as needed c seven years After seven years the balance is Round to the nearest cent as needed d nine years After nine years the balance is Round to the nearest cent as needed e On the basis of your answers to parts a d what advice would you give to your friends about minimum payments O A The minimum payment maximizes the short term cost and minimizes the long term cost It would be advisable to pay more than the minimum monthly payment when possible the overall cost decrease OB The minimum payment minimizes the short term cost and maximizes the long term cost It would be advisable to pay only the minimum monthly payment to decrease the short term cost OC The minimum payment maximizes the short term cost and minimizes the long term cost It would be advisable to pay only the minimum monthly payment to decrease the short term cost

Subtract and reduce if possible 4 11p 7 2p

MY NOTES In 14 of Section 1 3 we saw that a differential equation describing the velocity v of a falling mass subject to air resistance proportional to the instantaneous velocity is dv m mg kv dt where k 0 is a constant of proportionality The positive direction is downward a Solve the equation subject to the initial condition v 0 Vo v t b Use the solution in part a to determine the limiting or terminal velocity of the mass ASK YOUR c If the distance s measured from the point where the mass was released above ground is related to velocity v by ds dt v t find an explicit expression for s t if s 0 0 s t

5 Simplify 9q 5d 5q d and write your answer without using negative exponents

no and write your answer without using a Simplify negative exponents 728 b Simplify n5 22 8 negative exponents N 5 and write your answer without using 22 5 and write your answer without using c Simplify negative exponents 78 0 d Simplify 8 n negative exponents and write your answer without using

a Rewrite 7 without using negative exponents b Rewrite 1 without using negative exponents 15 c Rewrite without using negative exponents 17

Your answer is incorrect Jim wants to buy a bond that will mature to 6500 in nine years How much should he pay for the bond now if it earns interest at a rate of 2 per year compounded continuously Do not round any intermediate computations and round your answer to the nearest cent 4863 71 A X S

Solve the following system of equations 6x y 19 6x y 17 Solution s Enter your answers as points x y Use sqrt to enter radical answers do not use

6 Assignment Solve the equation In 4x 5 4