Complex numbers Questions and Answers

A toy store sells individual marbles in a variety of colors and sizes Big Small Red 3 6 Green 6 6 Purple 7 6 What is the probability that a randomly selected marble is purple given that the marble small Simplify any fractions

Takoda bought a 320 000 00 house paying 10 down and financing the rest at 3 interest for 30 years A What is the monthly payment Takoda has a payment of a month B How much interest will be paid over the life of the loan Takoda will pay in interest over the life of the loan

Graph at least two periods y 3 sin 4x find T A

Solve for m 42m 3 1024 M fermentum

x y 4 Choose the correct graph below OA OB Ay Q O C Ay O D

Choose the correct graph of f x 11 below OA 0 The domain of f x 11 is Type your answer in interval notation The range of f x 11 is Type your answer in interval notation OB Ay O C O D AY Q

A sample of 200 g of lead 210 decays to polonium 210 according to the function given by A t 200e 0 032t where t is time in years What is the amount of the sample after 90 years OA 475 g OB 8 g C 11 g OD 3 563 g BROWS

Find the inverse function of the given one to one function 1 x 15 p x p x Simplify your answer

For the following equation state the number of complex roots 5x 4 x 3 9x 2 3x 35 0

Determine the LCD Multiply the numerator and denominator of the first fraction by Multiply the numerator and denominator of the second fraction by Type the result use before exponents x would be written as x 2 QUESTION 5 h Follow the procedure to perform the operation 4x 5x QUESTION 6 5 7x 3x Determine the LCD Multiply the numerator and denominator of the first fraction by Multiply the numerator and denominator of the second fraction by Type the result Follow the procedure to perform the operation 1 9 x 3x 3 x 3 Determine the LCD Multiply the numerator and denominator of the first fraction by in numerator and denominator of the second fraction by

1 Given two complex numbers z r cos 0 i sin 0 and Z2 r cose i sin 8 prove the following formula for the division of complex numbers Z1 Z 72 cos 0 0 i sin 0 0

Find all solutions of the equation Enter your answers in trigonometric form Let 0 0 2 x i 0 smallest 0 value largest 0 value Zo Z1 Z II Z

Multiply and simplify G x 0 2 x 3 2 x 3 0

Applications After a 9 price reduction a boat sold for 30 940 What was the boat s price before the reduction Round to the nearest cent if necessary 343 777 78 34 000 O 2784 60 33 724 60

36 Two people are carrying a box One person exerts a force of 129 pounds at an angle o 49 4 with the horizontal The other person exerts a force of 98 pounds at an angle of 52 4 Find the weight of the box

Determine the domain of the g 1 f x 2 25

Write the complex number in trigonometric form Let 0 0 2 2 Imaginary axis 1 5 4 HS 3 2 z 2 i 1 1 2 Real axis

Rewrite the following in logarithmic form a 44 256 log4 256 4 b 10 x log 0 x 2 c e 9 log 9 x X syntax error X

Rewrite the following in exponential form 3 a log4 64 3 64 4 X b log 20 x 20 x c In x 3 x 10 X X OT

1 Solve by completing the square x 2x 15 0

Factor the polynomial completely given that f 7 0 f x 2x 9x 32x 21 O x 7 x 1 2x 3 O O x 7 x 1 2x 3 O x 7 x 3 2x 1 x 7 2x 9 32x 21

Find all the roots of the function f x x 6x x 6 O 2 6 Oti 6 O ti 6 O 12 12 6

Consider the function f x 4x 5x 2x 1 At most how many turns does the graph of the function have 4 because the leading coefficient is 4 O2 because the degree is 3 O3 because the leading coefficient is 4 O3 because the degree is 3

18 9 m 4 mA 130 b 29 mi c 25 mi

5 A 15m flag pole is not standing up straight There is a wire attached to the top of the pole and anchored in the ground The wire is 17 5m long The wire makes a 65 angle with the ground What angle does the flag pole make with the wire 56

7 Two observers are standing on shore 0 75 miles apart at points F and G and measure the angle to a sailboat at a point H at the same time Angle F is 53 and angle G is 61 find the distance from each observer to the sailboat

5 Two scuba divers are 25m apart below the surface of the water They both spot a shark that is below them The angle of depression from diver 1 to the shark is 49 and the angle of depression from diver 2 to the shark is 37 How far are each of the divers from the shark

Compute the interest paid on a 2 year lease for a 26 895 car if the annual rate of depreciation is 18 and the lease s annual interest rate is 4 7 Round your answer to the nearest dollar

Consider a 20 year mortgage for 306 392 at an annual interest rate of 4 2 After 10 years the mortgage i refinanced to an annual interest rate of 2 8 What are the monthly payments after refinancing Round your answer to the nearest dollar

If the current yield of a bond goes down from 6 3 to 4 4 by what percent does the market price increase Round your answer to the nearest percent

A trucker driver can expect to make US48 546 per year in the US Assuming that this driver works 70 hours per week and 52 weeks per year what is the equivalent salary in Canadian dollars per hour US Equivalent Currency per US 1 1 24772 Country Currency Canada Canadian Dollar CAD 0 80147 Round your answer to the nearest whole number

Suppose that your credit card activity for December looked like this Date Activity December 5 127 purchase December 10 331 purchase December 15 328 purchase December 20 394 purchase December 25 197 purchase What was your average daily balance for December Round your answer to the nearest dollar

Question 18 of 25 Step 1 of 1 Divide the polynomial by the monomial denominator by writing the fraction as the sum or difference of fractions Simplify your answer if possible 6x 2 2 Answer 2 Points

of 25 Step 1 of 1 Multiply and simplify the following radical expressions Assume all variables are positive 4 5 4 5 2 x Question 8 Answer 2 Points

bmit Assignment Test Ch 4 and 6 MAX C Question 4 of 25 Step 1 of 1 Simplify the expression using the properties of exponents Expand any numerical portion of your answer and only include positive exponents 3y 6 1 Answer 2 Points 00 58 Ke Keyboard Sh

A major technology company ExpoGrow is growing incredibly fast The latest prospectus a report on the company said that so far the number of employees y could be found with the equation y 3 4 where a represents the number of years since the company was founded a How many people founded the company b As part of a major scandal it was discovered that several statements in the prospectus were false If the company actually had five founders and doubles in size each year what equation should it have printed in its report

Consider the polynomial function p x 2x4 3x 2 Without graphing the function which is a characteristic of the graph O The left hand side approaches and the right hand side approaches O The left hand side approaches and the right hand side approaches 0 At least one of the zeros has multiplicity 2 O The graph has at most 3 turns 00

4 Which is an interval of decrease for the graph shown imp O 5 2 O 6 2 2 9 O 6 2 0 O 0 8 5 2 foy st 55 SI al 1 2 X 10

Which graph is increasing on the interval of approximately 2 0 A AY 10 10 61 21 4684 10 O graph A only O graph B only O both A and B O neither graph A nor graph B XA B AY 101 01 3598 6 21 469 61 of 10 LF

Question 11 of 15 Step 1 of 1 10 15 Correct Given y 8x 6 9 use interval notation to indicate the domain Round any decimal values to two decimal places Answer

Which is a characteristic of the graph AY 5 4 3 10 Jurit 9 6 8 10 As X f x 3 it has a y intercept of 2 2 It has four x intercepts O It increases on the interval 1 5 0 x

112 0 0 0 1 01 QUESTION 9 Describe the end behavior of the graph of the function f x 2x 4x 3 O As x f x and as x f x 00 O As x f x and as x f x 00 O As x f x and as x f x 00

A person invests 1000 dollars in a bank The bank pays 6 75 interest compounded monthly To the nearest tenth of a year how long must the person leave the money in the bank until it reaches 2500 dollars

Which graph is increasing on the interval of approximately 0 6 1 2 A 5 4 3 2 8 6 4 6 8 10 XA S O graph A only O graph B only O both A and B Oneither graph A nor graph B MENENG 101 8 61 44 2 24660 61 B 8 10 Y WYMM X

Find the probability of exactly five successes in seven trials of a binomial experiment in which the probability of success is 70 P Round to the nearest tenth of a percent Enter

tion 14 of 16 Step 1 of 1 Correct lify the following expression using rational exponents Assume all variables are positive 5x y 3 x 2y3

7 If you spent 25 weekly on lottery tickets how much would you spend in a month use four weeks How much would you spend in a year 12 months with that monthly figure Per Year Per Month 2 At this amount how much would you spend after 10 years 20 years 30 years 40 years 10 years 30 years 40 years 20 years 3 If you spent 50 weekly on lottery tickets how much would you spend in a month use four weeks How much would you spend in a year 12 months with that monthly figure Per Year Per Month 4 At this amount how much would you spend after 10 years 20 years 30 years 40 years 10 years 30 years

Question 9 of 16 Step 1 of 1 Correct Simplify the following expression using rational exponents Assume all variables are positive Answer 5x7 5x x7

Below is the graph of f x x4 2x3 3x2 4x 4 2 Identify the following Domain Approximate the range x intercept s y intercept s 5 2 Describe the end behavior of the graph by completing the following stateme As x f x As x f x

Below is the graph of f x x4 2x3 5x2 2x 8 to to Identify the following Real zeros Relative local minima Relative local maxima Extreme absolute minimum Extreme absolute maximum Interval s of increase Interval s of decrease 164 AY 8 12 286 16 201 2 XA