Complex numbers Questions and Answers

D and E are sets of real numbers defined as follows D x x 1 E x x 9

estion 10 Y of 34 Step d the average of the follo

Factor completely 49c 70cd 25d Choose the correct answer for Question 5 O 7c 5d O 7c 5d O 7cd 7c 10 5d 5d 7c 5d 7c 5d

How many solutions does sin 2 4x 1 2 have in the interval 0 5 pi 8

5 Simplify without using a calculator Be sure to show at least one step a log4 b log 10 000

Given A 2 0 B 5 4 and C 0 4 find the coordinates of D such that ABCD is a rhombus

Solve the given equation Enter your list Let k answers as a comma separated be any integer Round terms to two decimal places where appropriate tan 0 2 2 0 rad List six specific solutions 0 rad

An angle in radians which is co terminal with 30 is 25T 6 C 13x 6 7T 6 5T

Use the following information to answer the next question Consider the statement cottan 0 2 cot 20 Prove that the statement is an identity and determine all non permissible values

Identify the mode 59 46 42 54 63 63 71 39 51 49 72 77 61 53 O 14 O 57 1 O 63 O 56 5

Here is the number of days that it took the mushers of the Iditarod to finish the race in 2010 Find the range of the data set 8 days 9 days 9 days 9 days 9 days 9 days 9 days 9 days 9 days 9 days O 8 days O 1 day O 9 days O 8 9 days

7 69 A 5 x 4 x 3 box is made for the purpose of storage What is the longest pole that can fit inside the box 3

ion 2 the slope and y inte rcept

11 2 pts Describe the end behaviour of f x 1 X

8 5 pts What are the solutions to the equation x 7 x 3 21

The senior class GPA is 86 with a standard deviation of 6 Chaska has a GPA of 98 What percentage of seniors have a GPA higher than Chaska s

Divide using synthetic division 3 2x 4x 7x 3 O 2x 10x 30 83 2x 10 23 3 O 2x 2x 6 25 O 2x 2x

Factor the polynomial 6 18b 80 Answer

Find the 6th term of the expansion 2x 44 r 44 t 84x

Expand the following using the Binomial Theorem or Pascal s Triangle Ox 243 x 15x 90x 270x 18x 243 O 3x4 9x 27x2 81x 243 15x4 90x3 2702 0

Find the coefficient of the fifth term in the expansion of 2x 3 1944 2916

Add 9 j7 5 j12

Simplify the following expression S x 3 2x 5 O 7x 8 10x 31x 15 15x 7x 8

Expand and simplify the following expression x 6 x 2 Ox 4x 12 Ox 12x 4 Ox 12 2x 4

Simplify the following expression 2p 4p 3 4p 6p 2 2p 10p 1 O 2p 2p 5 P 5 OP 2p 10p 1

13 Problem Solving Find a number x that satisfies log x 5 log x 1 2

What is the LEADING COEFFICIENT of the function f x 2x 2x 5x 2 2 5 3 4

20 Greg traveled at 50 mph for six hours How far did he travel

Rationalize the denominator and simplify if possible 3 O O EVE 2 12 3 2 3 3 Le

Simplify the complex expression 3i 4 3i 2i 6 0 2 O 2i O 2 2i 2 2i

18 Express 400 ounces as pounds

Simplify the following complex number O O O 0 1 Z

5 The atomic weight of carbon C is 12 and that of oxygen 0 is 16 What is the percentage of carbon in CO

Solve for the unknown by completing the square 1 x 6X 6 0 2 x 4x 1 0

Simplity the rational expres 2w3 5 3w4r 7

Let A 2n 1 5i n N Choose the correct description of A a A is neither open nor closed O b A is open and closed O c A is open but not closed O d A is closed but not open

Pick every true statement which applies to the following set of vectors 2 Q 4 3 0 This set spans R 3 Every vector in its span can be written uniquely as a linear combination of these vector This set of vectors is linearly dependent This set is a basis of R 3 None of the above answers are true

Consider the following equation 2x 1 5 3r 1 If we were to use the quadratic formula what could be the values for a b and c a 48 30 5 02 20 40 5 a 10 40 5 a 50 20 4

Justin punts a football The height of the football could be described by the model h 161 56t 2 h describes the height of the ball in feet and t the time in seconds after the ball was kicked To the nearest second at what time is the ball 51 feet high use the quadratic formula and only provide a numeric answer in the blank

Find the values of the variable that would make the statement true using the square root method x 2 36 x 6 x 6 x 8 x 44 Ox x 8 x 4 x 14

Question 3 25 points Using the graph below solve the quadratic equation 2x 8x 7 x 4x 2 543 2 N x 0 6 or x 3 4 x 1 3 or x 2 7 x 1 or x 3 x 1 or y 2 3 f x 2x 8x4 g x x 4x 2

O O Question 4 25 points Find the values of x and y that make the equation true 10 6x 2x H x 12 S Ox 3y 5 x 5y 3 O 5 x123 65

Simplify the complex expression 2 5i 4 2i i 3 0 3 O 5 2i O 3i O 7 5i Question 2 25 points Simplify the complex expresion O 3 2 5 1 4 6 1 5t 6 4 2 2t

The figure on the right shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios More than how many radios must be produced and sold for the company to have a profit The company needs to produce and sell more than radios to have a profit Type a whole number 40 000 y 35 000 30 000 25 000 20 000 15 000 10 000 5 000 0 0 C x 7500 25x R x 40x 100 200 300 400 500 600 700 Radios Produced and Sold

slope triangles solution unit rate Use a vocabulary term from the modul If the ratio of two variable quantities is relationship exists then the relationsh

unit rate Use a vocabulary ter When the ratio of two relationship exists T variation The consta constant of proportio

nd the y intercept of rite your answer as a

1 C da using the midpoint rule with four subdivisions to four In a Approximate decimal places The approximation is

2 Three indistinguishable coins are tossed and the number of times heads comes up is noted A C 0 1 2 3 HHH HHT HTH HTT THH THT TTH TTT B D 1 2 3 HHH HHT HTT TTT

E and F be as above The event E UF is A C 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 2 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6 1 2 2 1 1 1 1 3 2 2 3 1 3 3 B D 1 1 1 2 1 3 1 4 2 1 2 2 2 3 3 1 3 2 3 3 3 4 3 6 4 1 4 3 6 1 4 1 5 2 5 2 6 3 4 3 5 4 3 4 2 5 5 4 4 5 6 5 1 4 1 6 1 6 2 5 4 5 5 6 3 6 5 6