Complex numbers Questions and Answers

Simplify Assume the variables represent positive values 36r c

f x x and g x x 3 Step 1 of 2 Find the formula for f g x and simplify your answer Answer f g x

Simplify the following expressions completely A 4 B 64

20 Simplify V31 a 3 1 c 1 3 21 The square roots of all perfect squares are a integers or whole numbers c fractions 22 Simplify 300 a 3 10 c 100 3 b already simplified d 15 2 1 b irrational d divisible by 2 b 2 150 d 10 3

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

10 Simplify 200 a 10 2 c 50v 2 11 Simplify 96 a 16 6 c 9V6 b 2 10 d 2 50 b 6 16 d 4 6

14 125 a 5 5 c 5 25 15 In simplest radical form V75 is equivalent to a 25 3 c 5 3 b 25 5 d 5 2 b 25 3 d 3 5

Find the standard deviation of the given data Now solve for the standard deviation or the square root of the variance 5 6 8 13 Variance 0 9 5 Standard Deviation o Round to the nearest tenth Standard Deviation

Find the standard deviation of the given data First find the mean X of the data 5 6 8 13 x L

4 A weight is suspended from the ceiling with two chains The chains are mounted to the ceiling 3 feet apart and meet in the center of the weight One chain makes an angle A with the ceiling and is 1 75 feet long the other chain makes an angle B with the ceiling and is 2 25 feet long Draw a diagram and solve for angles A and B

km s 9 How did humans first understand that the universe is expanding What type of observations led to this conclusion wooled thousands of galaxies

3 What is located at the center of our galaxy how far is the Earth from this location

1 What is Pulsar How is a pulsar similar to a lighthouse

10 10 4 10 1 of 2 Use the graph to determine the locations and type of the local extrema Write DNE for all extrema that d Separate multiple answers with a comma if necessary

Answer How to enter your answer opens in new window g x x 3 4 x 3 Keybo Selecting a radio button will replace the entered answer value s with the radio button value If the radio button is not selected the entered answer is used O does not have an inverse function Submit An

Consider the following functions Step 1 of 4 Find f g 2 f x Answer How to enter your answer opens in new window x and g x x 14 f g 2

Which of the following would not be a cash flow from financing activities Mumple Choice Borrowing on a long term note payable Repayment of principal on bonds payable Payment of a cash dividend Payment of Interest on bonds payable

Write an equation for the given tangent curve in the form y A tan B x C D 3x PA 44 3x 22 11 22 1 0 1 NE Q y 0 Type an exact answer using as needed Use integers or fractions for any numbers in the expression

X 2 f x 16 00 3 4 5 64 00 256 0 1 024 What is the common ratio What is the base 6 4 096 round to tenths round to tenths The function is Select an answer because Select an answer

Which of the following graphs shows a parabola with a vertex of 2 9 and solutions of 5 0 and 1 0 a 12 10 8 OO 6 4 12 10 8 6 4 2 20 2 4 6 8 10

f x 6 x Step 1 of 2 Determine the more basic function that has been shifted reflected stretched or compressed Answer g x

A card is drawn at random from a standard 52 card deck What is the probability of drawing a club or a face card Note there are 3 face cards in each suit the King Queen and Jack Give your answer as a fraction

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

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

A wo oden rectangular frame is 6 feet by 8 feet A diagonal brace will be added to the back of the frame What is the length in feet of the brace

Find the range of acute angle measures x that satisfy each expression i ii 0 cos x 2 2 Show Transcribed Text 3 2 sin x 1 Show Transcribed Text

6 Rectangle WXYZ has consecutive vertices W 9 3 X 9 5 Y 2 5 and Z 2 3 Find the perimeter and area of rectangle WXYZ Example 3 P A

4 Calculate the limit 8 2 25 5 n Lim N18

Seton Test 15 Tell whether each sentence below is true or false 1 20 To be taken after Chapter 2 82 Synthetic division will only work if the problem has a 0 remainder False A complex number zabi can be written in polar trigonometric form as cosdisin where r is the modulus and is the argument TRUE

hmic Question 9 4 4 43 Part 1 of 2 HW Score 44 11 points O Points 0 of 2 Next question Solve the following exponential equation Express the solution set in terms of natural logarithms or common logarithms Then use a calculator to obtain a decimal approximation for the solution 2x 3x 2 0 Save The solution set expressed in terms of logarithms is Use a comma to separate answers as needed Simplify your answer Use integers or fractions for any numbers in the expression Use In for natural logarithm and log for common logarithm In

chemist needs 90 ml of a 10 acid solution He has on hand a 20 acid olution and an 8 acid solution How much of the 20 solution should ha se elect one a 75 ml O b 15 ml O c 14 ml O d 28 ml

Klara has 11 coins all either dimes or nickels If she has a total of 80 how many dimes does she have Select one O a 7 O b 5 O c 3 O d 6

Which of the following represents three consecutive odd integers elect one a N N 1 N 2 b N N 2 N 4 c N N 2 N 4 Od N N 3 N 5

The logistic growth function f t 109 000 1 4500et describes the number of people f t who have become ill with influenza t weeks after its initial outbreak in a particular community a How many people became ill with the flu when the epidemic began b How many people were ill by the end of the fourth week c What is the limiting size of the population that becomes ill a The number of people initially infected is 24 Round to the nearest whole number as needed Points 1 of 3 b The number of people infected after 4 weeks is Round to the nearest whole number as needed

now do I solve this type of problem 3 4 m Use sum to product formulas to find the solutions of the equation Usen as your arbitr cos 5x cos 7x cos

Determine the intercepts of the given polynomial function and the behavior of the graph relative to x axis at its root 1 f x x 1 5 x 3 x 4 The y intercept is Zeros Multiplicity Characteristic Behavior of the graph relative to x axis of Multiplicity at its root

2 g x x 4x The y intercept is Zeros Characteristic of Multiplicity 6 Behavior of the graph relative to x axis at its root

Write an equation for the quadratic graphed belo x intercepts 1 0 and 4 0 y intercept 0 1 y 1 St 4

Find all the zeros of the quadratic function y x 7x 18 If there is more than one zero separate them with commas If there are no zeros click on None zero s DO Nor

mic Question 6 4 4 29 Part 1 of 2 HW Score 20 5 of 25 points O Points 0 of 2 Save Solve the given exponential equation Express the solution set in terms of natural logarithms or common logarithms Then use a calculator to obtain a decimal approximation for the solution 3ex 89 The solution set expressed in terms of logarithms is Use a comma to separate answers as needed Simplify your answer Use integers or fractions for any numbers in the equation

Given p x 4x 1 and q x x 3 find each p q x q p 0

Solve for x x 2x 3 Check for extraneous solutions

suppose h x 5sin 3 a DRAW A Bubble DIAGRAM for h x 8 Graph h x Explain which parts of the formul explains the shifts applied to sine

13 log n 6 7 5 15 log 2 3k 4 2 17 logg x logg x 12 2

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

A committee of 2 people is to be selected at random from 4 executives Alam Bartolini Chinn and Dickson Write out the samp Next question g an S with equally likely outcomes possible Then give the value of nS and tell whether the mes likely Finally write the indicated events below in set notation a Chinn is on the committee b Bartolini and Chinn are not both on the committee c Both Bartolini and Dickson are on the committee What is the sample space Use the first initial of each executive to write the events OA S AB AD BD OB S BA BC DA DC BD OC S A B C D OD S AB AC AD BC BD CD The value of n S is Are the outcomes equally likely Yes No a Write the event Chinn is on the committee OA AB AC AD BC BD CD OB CA CB CD OC AB AD BD OD C b Write the event Bartolini and Chinn are not both on the committee OA A D OB AD OC AD BA BD CA CD AC AD BC BD CD are on the committee 7 Sunry

Multiply using the FOIL method Simplify completely p 2g 3p 2q

2 Wayne Arnsberg bought 240 shares of TRE stock He paid a total of 28 656 He sold at 115 40 per share He paid a 79 95 sales commission Determine the profit or loss

xx is an odd integer 4 x 16 5 7 9 13 15 Choose the correct answer below A This statement is false There is one missing odd integer in the set which is 11 OB This statement is false The set of integers includes negative numbers too There should be a total of ten integers in the s OC This statement is true If you list all of the integers from 4 to 16 all of these numbers will be included in the list C S OD This statement is true All of the odd integers between 4 and 16 are listed in ascending order

2 You paid 24 000 for 1 000 shares of EXO stock You sold the stock for 22 50 per share The commis paid was 49 95