Complex numbers Questions and Answers

An opportunity cost is often called a n O a tradeoff decision O a management decision O resource management

solid dot on the left and open dot on the right 3 Option 1 0 2 y 2 2 y 2 x 4 y 4 Option 2 4 y 4

Sam knew that if he was going to save his money to rent a limo for prom that he would not be able to go out to eat with his friends every Friday night This is an example of O values O delayed gratification O inflation risks

A water distribution system with 3 switches A B and C is designed to transfer water from A to B The switches are connected together by 3 pipes These pipes are made of two different materials namely type I and II The failure rate of a pipe is proportional to its length and it also depends on the material The length of the pipes and their material types are shown on the diagram 7km I A 23km II Find the mean time to failure of the system B 19km I It is found that the failure rate per year per kilometre of type I and II pipes are 0 02t 2 3 and 0 008t 2 3 respectively where the unit of t is year Assume that the switches are perfectly reliable

is someone who will share financial responsibility for the lease O cosigner O third party O contingency

Receiving free items at the time of purchase is detrimental to the consumers Why O Payment of double the amount at the time of purchase O Customers are required to reveal their bank detalls Customers need to reveal their email addresses

Which one of the following is true about Direct Stafford Loans You are responsible for paying all of the interest on unsubsidized loans O The government pays the interest on unsubsidized loans O You are responsible for paying all of the interest on subsidized loans

Which of the following is not a function of the Federal Reserve O Establish and implement monetary policy Create and distribute currency O Operate the nation s payment system

In Justin s first period class 19 out of 26 students wore their school shirts on Friday If the school has a population of 2 462 students approximately how many students at the school wore their school shirts on Friday O 95 students O 130 students O 663 students O 1 799 students

The values for functions f 1 and g x 2 for given values of are shown in the table below g x 0 1 1 414 1 732 2 8 2 1 0 1 2 f x 8 1 0 1 8 Between which two values is the approximate solution to f x g x 0 2 x 1 0 1 x 0 0 0 x 1 D

Find the image of 2 OF under the mapping 2 i 21 4 2 el z

Sketch a graph of 9y 9 7 6 5 7 6 5 4 3 2 1 4 3 27 7 2 23 4 5 6 7 1 2 3 4 5 6 7

Thy buying one of two gas ovens The bakery requires that the temperature remain constant during a baking operation A study was conducted to measure the variance in temperature of the ovens during the baking process The variance in temperature before the thermostat restarted the flame for the Monarch oven was 3 1 for 25 measurements The variance for Kraft oven was 3 5 for 18 measurements Does this information provide sufficient reason to conclude that there is a difference in the variances for the two ovens Assume measurements are norm distributed and use a 0 02 level of significance a Find F Give your answer correct to two decimal places 0 78 X ii Find the p value Give your answer correct to four decimal places 0 5731 X b State the appropriate conclusion O Reject the null hypothesis there is significant evidence to show a difference in variances O Reject the null hypothesis there is not significant evidence to show a difference in variances O Fail to reject the null hypothesis there is not significant evidence to show a difference in variances O Fail to reject the null hypothesis there is significant evidence to show a difference in variances TEACHER PRACTICE ANO

Find an equation for the parabola that has its vertex at the origin and has its focus at the point 0 8 1

2 Find the average rate of change of f x 5x 17x 9 from x 2 to x 4 8 pts

Solve log 10x 3 log 8x 13 3 8 Enter DNE if no solution exis

3 Determine any value s of x where the slope of the line tangent to the function h x x 9x 84x will be 3 9 pts

has determined that the number of fir trees in a forest is decreasing by 3 per year In 2010 there were 13 000 fir trees in the forest Write an equation that represents the number of fir trees N in terms of t the number of years since 2010 N t

When a number is divided by 4 the result is 10

Find the missing side Enter sin cos or tan N 28 15 28 Z Remember SOHCAHTOA Ent

The difference between the temperature on the first day of the month and the 1 temperature on the last day of the month 74 degrees is 6 degrees Write an equation involving absolute value that represents the relationship among 74 1 and 6

An arc subtends a central angle measuring 2 pi 3 radians

Given the x intercepts and another point on the graph of a quadratic function write the equation for the function T 30 20 10 X 5 S 10 Write the quadratic function in standar form to represent the graph below f x E Submi

Question 23 Graph f x 2 3 x on the separate Domain Select Choice

Inner Loop Limacon symmetric on the line theta pi 2 O Dimpled Limacon symmetric on the line theta 0 O Dimpled Limacon symmetric on the line theta pi 2 O Cardioid symmetric on the theta pi 2 O Inner Loop Limacon symmetric on the line theta 0 w Transcribed Text Question 6 Select the correct description for the polar function r 6 sin 0 O Circle symmetric on the line theta pi 2 with a diameter of 6 Rose curve with 2 petals and a radius of 6 Circle symmetric on the line theta 0 with a diameter of 6 Circle centered at the origin with a radius of 6 10

I 3 ko y 1 245 1 Viller and c 80 and a 106 find A to the nearest 10 minutes If B 140 15

2 Simplify completely sin 90 a sin 180 a sin a sin1800 tan1350

Seeds a The complex conjugate of 9 5 Is 9 5 b 9 51 9 51 Need Help Read It 1 points SAigTrig4 1 5 004

Triangle ABC with right angle C is shown below C Given that sin B and AD BD find sin ZADC 5 a Note that the diagram may not be drawn to scale 2 6 25 O 24 b O 125 O A 2 23 D E

Given a mathematical or real world context write and solve one variable quadratic equations over the real number system T Devonte throws a rock straight down off the edge of a cliff that overlooks the ocean The distance d the rock falls after t seconds can be represented by the equation d 16t 24t If the ocean s surface is 16 4 feet below the cliff to the nearest tenth how many seconds will it take for the rock to hit the ocean s surface

solution set to a two variable linear inequality 10 T 5 10 0 5 X 10 Graph the solution set to the inequality y 3 2 x 2

There are 100 billion stars in our Milky Way galaxy Based on everything you have learned in this course and any other ideas you may have make an estimate of the number of planets in our galaxy on which some type of life has formed

v 16 Convert equations of parabolas from general to vertex form WHK The equation of a parabola is y x 6x 14 Write the equation in vertex form Write any numbers as integers or simplified proper or improper fractions y DO 0 Submit

U Rational functions are polynomials Which function s deg P x deg Q x U T jagt R agt Q 2 Q x 0 P Q 1 4 3

16 The mean number of minutes spent working out at the gym yesterday was 45 minutes with a standard deviation of 8 If Ryan s Z score was 1 75 how many minutes above the mean did he spend working out Gina Wilson All Things Algebra 2015

Find the roots of the equation x2 16 0 O4 and 4 O4 and 4 O 4 and 4

Colving Quadiat equations Simplify 1 hoon UN INDROM 2 96 0 3 5 3 25 4 3 53 45 3 5 5 6 5 2 5

1 Find the volume of the following selids SHOW WORK WITH FORMULA Round your answer to the nearest hundredth when necessary Write your answer with correct unit of measurements Volume 4 Volume 7 3cm 6cm 2cm 5cm Volume 10 Volume 13 7 6cm 8cm R 8cm 13cm 5cm 7cm Volume of Prism V Bh 2 4cm 2cm Acm 5cm 5cm Scm Volume 5 3cm 5cm Volume 8 allem bog 10 00 Volume autein S non souve artek 20cm 11 26 surisd sul s 12cm Volume 14 8cm 17cm area of the base x height of the prism 3 SIM 2cm 1cm A EN 6cm ni sorge 8cm 09 Vicm 9cm em siduo aus end 3cm 12cm 3cm Volume 6 COM NON Saltainty to 87 new os sete 4cm Volume 9 Volume 12 teoroidaro n 4 most bra muhoups 8cm P toms A Botem The Soon 6cmd10cm 5cm 6cm 9cm Volume 15 7 4cm 4cm 11cm avetera 10cm 6cm 4cm 6cm Joog chet to the st

19 The data below represents the grades of 12 students on a statistics test If the mean is 79 and the standard deviation is 13 1 how many students have a Z score greater than 1 1 56 64 68 70 72 77 80 83 89 92 97 100 Gina Wilson All Things Algebra 2015

11 The standard deviation of the number of homes sold last year by a group of realtors was 2 5 If Lucas sold 15 homes and his z score was 1 2 what was the mean number of homes sold Gina Wilson All Things Algebra 2015

11 The standard deviation of scores on a history exam was 7 2 If Max scored a 74 and his z score was 1 25 find the mean score on the exam W or OBNO s march am and J

Question 39 Paul bought 18 pins for 90 Jack bought 45 pins for 180 Who bought pins at the lowest cost Jack Points 2 Paul and Jack O Paul

Find an equation for the plane that goes through The A 1 4 2 B 1 0 1 and is perpendicular to the plane x14 2 1 6 0 2 1 1 4 2 0 1 1 point

1 point Write the complex number 17 6 in the form a bi

Mohal just started a running plan where he runs 12 miles the first week and then increases the number of miles he runs by 5 each week If he keeps up this plan for 6 weeks how many total miles would Mohal have run to the nearest whole number

Sylvia Dylan and Ethan are solving a division problem with scientific notation Sylvia 3 61210 11 4 12107 88x10 18 8 8x10 1 17 Dylan 3 6110 11 4 12107 88x10 8 8x10 19 18 Ethan 3 612101 4 1x107 88x10 H 8 8x10 5 1 Explain Sylvia s processes Is Sylvia correct If not where did she go wrong 2 Explain Dylan s processes Is Dylan correct If not where did he go wrong 3 Explain Ethan s processes Is Ethan correct If not where did he go wrong

Question 12 Two different courier companies charge 3x 5 and 2x 7 respectively where x represents the weight of the parcel in pounds Find the weight for which the charges are same in both couriers Points 2 x 3 lb O x 2 lb Ox 0 075 lb

I CAN EXPLAIN HOW SMALL AMOUNTS OF MONEY GROW OVER TIME 8 22C 6 Mel decides to start depositing 75 each month into an interest earning savings account She does not make any additional deposits or withdrawals a After 10 years how much will Mel have contributed to the account b According to her online calculations the balance of Mel s account will be 12 352 41 Is this more or less than what she contributed and why

Find the volume of the given solids 6 2 cm 3 cm 8 cm 12 cm 3 cm 4 cm 4 cm

Question 1 Solve cos x 3 sin x for all solutions x 0 2