Complex numbers Questions and Answers

Suppose two dice one red one green are rolled Consider the following events A the red die shows 1 B the numbers add to 5 C at least one of the numbers is 3 and D the numbers do not add to 9 Express the given event in symbols HINT See Example 5 Either the numbers add to 9 or the red die shows a 1 O Dn B ODnA O D UA O D n A O D UB How many elements does it contain

Let the Universal set be the letters a through j U a b i Let A b c i j B b e f 1 and C b c d e List the elements of the set An BUC Submit Question

148 centimeters inches round to the nearest tenth

Consider the equation 2x 18 Complete the following a Write the equation as ax bx c 0 with a 0 b Calculate the discriminant b 4ac and determine the number of real solutions c Solve the equation

2 Determine whether the series In 5n 2 1 n 1 3n 4 n 1 is absolutely convergent conditionally convergent or divergent

a 4 b a Submit Question ing the properties for exponents

Determine whether the following series is convergent n n 1 5n n 2 n 5 tan tan or divergent n ln n n n 10 7 5

Ethan goes to a fast food restaurant and orders some tacos and burritos He sees on the nutrition menu that tacos are 250 calories and burritos are 350calories If he ordered 10 items and consumed a total of 3100 calories how many tacos and how many burritos did Ethan order and eat Tacos eaten

If Naomi were to paint her living room alone it would take 5 hours Her sister Denise could do the job in 8 hours How many hours would it take them working together Express your answer as a fraction reduced to lowest terms if needed

Given a probability space with the following characteristics P A 0 6 P B 0 67 P BA 0 44 Find the following probabilities P A P AUB P AUB P An B P A P An B P AUB

Jolene invests her savings in two bank accounts one paying 5 and the other paying 10 interest per year She puts twice as much in the lower yielding account because it is less risky If she earned 7980 of total interest for the year how much was invested in each account She invested She invested in the account earning 5 interest in the account earning 10 interest

Your answer is incorrect de 21x 6 v 2 12x 3 v 5 24x 6 v 6 3x 3 v 5 lify your answer as much as possible

or the equation y 8 2 complete the table and plot the ordered pairs on the graph X 3 2 1 0 1 2 3

Write the complex number in standard form 20 For the toolbar press ALT F10 PC or ALT FN BIUS Paragraph ST T ABC V

Write the expression as a complex number in standard form i 7 51 3 2 For the toolbar press ALT F10 PC or ALT FN F10 Mac B I S Paragraph Arial

plify the expression 49 25 the toolbar press ALT F10 PC or ALT FI

Write the complex number in standard form 12 Oi 12 O O O 2 3 2i 3 21 3

Given the functions f x 3x 5 and g x 6x 9 determine each of the following Give your answers as simplified expressions written in descending order Evaluate f g x f g x Evaluate f g x Evaluate f g x Evaluate 9 f g x f g x 2 9 MAA

Evaluate each composition of functions Show all work on worksheet Consider the functions f x 3x 4 g x 7 2 and h x x 3 hog x

Evaluate o g x or f g x f x x 5x g x x 4 fog x f g x

Let f x 2x 8 g x x 2x 8 and h z 32 6 Perform the indicated operation Simplify as far as possible h f 3

2 Are vehicles used for public or livery conveyance eligible for an ISO Personal Auto Policy A Yes B No

Solve each equation by taking square roots 7 7 25a 29 Simplify 9 4 4i 8 5x2 7 87 10 2i 6i 4 7i

Suppose that G x log 3 2x 1 3 a What is the domain of G b What is G 5 What point is on the graph of G c If G x 2 what is x What point is on the graph of G d What is the zero of G a The domain of G is Type your answer in interval notation b G 5 The point c If G x 2 then x The point d The zero of G is x 0 is on the graph of G Type an ordered pair is on the graph of G Type an ordered pair

For f x vx w and g x x w v 0 find fog x and gof x Then determine whether fog x gof x What is fog x fog x What is gof x gof x Does fog x gof x O Yes No

Solve the equation 9x 13 816x www The solution set is Simplify your answer Use a comma to separate answers as

Question 4 of 5 Step 1 of 2 Consider the equation and the following o Step 1 of 2 Compute the missing x and y Answer Complete the table below

Given A 3 23 Express 4 and A as a product of elementary matrices EM A 5

D Question 7 If x 4 is a root of x 3x 16x 4 polynomial completely and list all rea

Q8 Let T be a linear transformation from 2D space to itself defined as T 1 12 2r1 312 12 Show that T is invertible and find the formula for 7

For f x x 5 and g x x2 9 find the following functions a fog x b gof x c fog 2 d gof 2 a fog x x 18x 86 Simplify your answer b gof x x 10x 16 Simplify your answer c fog 2 30 d gof 2

binations of Functions O Points Express the given function h as a composition of two functions f and g so that h x fog x where one of the functions is x 8 h x x4 8 f x Part 1 of 2 Simplify your answer

Find f g f g fg and Determine the domain for each function g f x x g x x 18 f g x x x 18 Simplify your answer What is the domain off g OA The domain off g is Use a comma to separate answers as needed B The domain of f g is 0 co Type your answer in interval notation O c The domain off g is fg x x x 18 x Simplify your answer What is the domain of fg A The domain of fg is Use a comma to separate answers as needed B The domain of fg is 0 00 Type your answer in interval notation O c The domain of fg is

Milo sets sail from a dock and heads in a straight line for 7 mi The wind then picks up momentarily and he is forced to change direction by 57 36 He then sails in a straight line in this new direction for another 4 mi At this point how far is he from the dock Round to two decimal places

4 6 7 1 2 P 9 1 p 3 5 24 mp p q

Ex Given f x 2x 11x 21 find th x intercept

Find the inverse of y log0 5 X Select one a y 0 5 b x 0 5 c x 0 5 d y yx 0 5

Part IV Mark anything in words or congruence statements or vertical angles or reflexive sides then write a congruence statement You should have 3 things marked and 3 congruence statements 10 Z is the midpoint of WY WX XY N Congruence statement 211 211 IR

of Functions Find f g 1 9 fg and f x x g x x 18 Determine the domain for each function f g x x x 18 Simplify your answer What is the domain of f g Question 11 2 6 39 Part 2 of 8 OA The domain of f g is OB The domain off g is OC The domain off g is Use a comma to separate answers as needed Type your answer in interval notation COFF

3 Find the amount in a continuously compounded account for the given conditions principal 950 annual interest rate 6 5

1 Graph each function WITHOUT a calculator and upload a picture of your graph a y 9 3 b y 2 5 C 3 2 x 1

A measuring cylinder has 35 mL of water When a piece of metal is dropped into th measuring cylinder the level of water rises to 45 7mL The mass of the metal piece 1 675g What is the density of the metal

What is the weight mass of the vinegar that exactly fills a 2650 0 mL container The density of vinegar is 0 654 g mL

Find the equation of the line between the points 3 9 and 7 8

You can rent a house for 1100 a month or you can purchase the same house for 600 a month If you purchase you must put a down payment of 15 000 A Create an equation to represent each of these costs over time

The cost in dollars for a cab ride is given by the polynomial 2 1 37x 0 23y In this context x is the number of miles driven and y is the time in minutes fo the ride Part 1 of 2 a Evaluate the polynomial for x 9 and y 18 Interpret the answer in the context of this problem This means it costs 18 47 for a 9 mi cab ride that lasts 18 min Part 1 2 Part 2 of 2 b Evaluate the polynomial for x 25 and y 48 Interpret the answer in the context of this problem for a mi cab ride that lasts min G

2 Lois prepared a graph to show her annual investment amounts over the last five years She rounded the numbers to the nearest ten dollars What numbers did she use in the graph A Year 1 19 128 52 B Year 2 17 546 22 C Year 3 15 588 65 D Year 4 14 072 13 E Year 5 12 492 24 budget

Temperature F 70 160 50 40 30 y 2 264x 121 5 20 10 0 Part 0 2 Part 1 of 2 20 30 Latitude 40 50 a Use the equation to predict the average daily temperature for a certain city whose latitude is 33 8 N Round to one d

7 3 pts Find the area of a sector with central angle 52 in a circle of radius 200 ft

7 Predict the geometries of the following species using the VSEPR method a PC1 b CHC1 c SiH d TeCl4