Complex numbers Questions and Answers

ACT PREP MATH PART ACT Math Test 1 Edition 3 Question 15 of 60 Juan is enlarging a print he made in art class to create a banner for the football field The area of the banner can be modeled by the function fw Bw 28w where wit The area of the banner is 60 feet What is the width of the original print 42 feet O 5 7 feet O 31 feet O 15 feet O23 feet Ned Resel e width of the original print and w is the area of the bann

he bought net profil of Alex Alex 19 51 4 the money 8 12 31 sells for money What is the maximum net profil 14

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192p 9q 189 P 19w9 6w8 18 18v9 33v 14v7 14 2m 24m 64m4 16 3 115 2014 LYSIS In Exercises 19 and 20 describe and error in factoring the polynomial completely K 4x 4 x x 4 4 x x 2 x 2 4 8x x 2x x 2x x x 2x 2x x 2x x 2x 4x 28 factor the polynomial completely 6v 30 22 m m 7m 7

ises 23 26 determine whether the function is even od x 2 24

What is the solution set of the equation below 4 2 3 2 2 2 Type your answer in the box provided

PREP MATH C 12 app edmentum com assess 9 CT PREP MATH PART ACT Math Test 1 Edition 3 Question 9 of 60 What are the solutions for x 2 23 and 2 123 0 7 1649 and 7 649 20 20 O 7 1 184 16 and Next 7 1 184 16 and 33 1 125 20 O4 39 and 4 49 Reset 23 1 129 20 3x 5 3x 5 z 2 x 5 A

Which of the following statements are true Check all of the boxes that apply f x 2 x has the same domain and range as f x x f x 2 x has the same domain and range as f x x Of x x has the same domain as f x x but a different range f x x has the same domain as f x x but a different range

A quantity of insulin used to regulate sugar in the bloodstream breaks down by about 5 each minute A body weight adjusted dose starts at about 10 units a Write a function representing the amount of the dose that remains

28 l 11 15i 4i 13 41 2i O TULE 49 25 1 1 12 8i 9i 6i 14 2i 5 i 6

1 O A child is about how Choose the correct O 95 mm

MA m 9m and B 1 9m find an expression that equals 24 standard form

l pearson com Stude 4 Assignment K Determine whether the following series is a 81 27 9 3 n 200

Using Newton Raphson Method find the approximate solution to the equation ex 2 2cosx 6 0 n Accuarate to 8 decimal places Use 2 as the initial guess Calculate up to 8 decimal places 0 1 2 3 4 5 6 7 8 9 10 11 X Derivative of thr Formula f x f x f x

16 Test the convergence of the series 22 1 3 22 42 1 3 5 22 42 62

se the slope intercept form to graph the e

Evaluate the expression 80 and write the result in the form a bi

Eighty six percent of adults in a certain country believe that life on other planets is plausible You randomly select five adults and ask them whether they believe that life on other planets is plausible The random variable represents the number of adults who believe that life on other planets is plausible Find the mean variance and standard deviation of the binomial distribution for the random variable Interpret the results Find the mean of the binomial distribution Round to two decimal places as needed Find the variance of the binomial distribution o Round to two decimal places as needed Find the standard deviation of the binomial distribution o Round to two decimal places as needed Interpret the results On average out of every 5 adults in the country believe that life on other planets is plausible In most samples of 5 adults the number of adults who think life on other planets is plausible would differ

For the standard normal distribution shown on the night find the probability of z occurring in the indicated region Click here to view page 1 of the standard normal table Click here to view page 2 of the standard normal table CHIE

logistic growth is f t Suppose you are in a school of 2 000 students and it is influenza season At t 0 there are 300 students who 1 ae bt where a b c are constants are sick By the end of the fourth week t 4 there are 1 600 students who are sick a Find the constants a b c and write a mathematical model for this situation Round answers to the nearest hundredth b What is the upper limit for the number of students who could get sick Why c Based on your model when will 1000 students be sick

Edulastic DEIXL Math Languag 3 Write a linear inequality word problems LLV Duolingo The wor The volleyball team at Morristown High School has saved up 460 and the team plans to spend no more than that amount on balls and nets A volleyball costs 7 and a net costs 43 x the number of volleyballs y the number of nets 7x 43y 460 Select the inequality in standard form that describes this situation Use the given numbers and the following variables 7x 43y2 460 43x 7y 2 460 World History Final 43x 7y 460 7th Penod Quiz Que ans ela 00 HR Smar out of 4

Convert each of the following angles given in radians into an equivalent measure in degrees Your an answ will be integers a 2 3 b T 2 c 117 4 d 4 3

Most of the hurricanes that affect the east coast of the United States originally form over the 1 warm waters of the Atlantic Ocean in summer 2 3 4 warm land of the southeastern United States in summer cool waters of the Atlantic Ocean in spring cool land of the southeastern United States in spring Submit Answer

9 nts ferences TB MC Qu 04 133 Static What event and invent What event and Inventory system may have produced the follow Debit 600 Account Title Merchandise Inventory Cost of Goods Sold Multiple Choice Cr A sale of goods under the periodic Inventory system A return of goods by a customer under the periodic in

Chap 4 Quiz 3 TB MC Qu 04 71 Static Middleton Company us

Colin wants to make purple paint He finds a graph online that shows how much red and blue paint he should use to make the shade of purple he wants a What is the slope of the line Show your work SOLUTION b What does the slope represent in this situation Rafael wants to find the slope of the line a This is Rafael s work What mistake did he make m 4 2 100 50 b What is the slope of the line Time h Number of Cars Blue Paint pt 2 50 25 0 0 2 5 8 12 24 130 208 312 624 4 6 8 Red Paint pt Distance mi 10 100 80 60 40 20 0 A factory makes cars at a constant rate The table shows the number of cars made for different lengths of time A manager draws a graph of the number of cars made per hour What is the slope of the line What does the slope represent Show your work y 0 12 1 2 3 Time h

Which regions in the Venn Diagram below should be shaded to represent the set AUC Select all that apply OA d B e OC b D g OE a OF h G C O H f A CO P C G h C B U k

a b C d What is the cardinality of A if A What is the cardinality of A if A 3 4 5 What is the cardinality of P A if A x y What is the cardinality of P A if A 3

Choose the negation of the following statement If it rains this week then Anthony will not mow the lawn O A It rained this week and Anthony mowed the lawn O B If it doesn t rain this week then Anthony won t mow the lawn O C It rained this week and Anthony didn t mow the lawn O D If it rains this week then Anthony didn t mow the lawn

Question 6 2 8 31 Write the standard form of the equation of the circle with the given center and radius Center 0 0 r 3 The equation for the circle in standard form is Simplify your answer

Expand the binomial 4 3y 3 For the toolbar press ALT F10 PC o

4 Find the limit of a function with a removable discontinuity 5 Find the limit of a function from a graph 6 Find the limit of a function as a 7 Use the limit definition to find the derivative of a function 8 Sketch the graph of a the derivative given a function 6 5 4 3 D 6 5 4 3 2 1 0 2 3 4 5 6 2 1 0 3 4 6 5 5 2 3 6 1 2 6 5 4 3 1 2 2 3 3 4 4 15 5 6 6 6 4 3 2 5 2 0 1 2 6 3 5 5 4 5 6 6 3 4 2 1 6 5 4 3 2 11 1 0 1 2 3 2 8 123 4 5 45

Given the function f x find the corresponding output SHOW ALL STEPS X 0 X 8 f x 1 1 x 4 Lesson 2 06 Given the function H x find the corresponding output values H x for the given input x values SHOW WORK H x 2 x 2 Lesson 2 08 a Input this table of values into Desmos to create a quadratic regression equation that best fits the data set which represents Film Run Times 16 mm Copy your equation here 2 b Use your regression equation and estimate the run time for 10 in diameter film Show all work and round to the nearest hundredth of a 3 Diameter in Run Time min 3 33 4 5 6 7 F x 6 15 2 30 8 62 9 H x

Question 1 Find the degree leading co f x 5x5 5x8 6 Degree

For the given polynomial P x and the given c use the remainder theorem to find P P x x 3 3x 2 4x 7 3

Given the augmented matrix below determine if the associated system of equations is independent dependent or inconsistent 7 1 8 27 1 13 0 16 3 4 9 0 The system is 7 4 42 6

Determine the values of the following products of base vectors 9 9 6 6 2 x 2 46 fxf R R x xxx zy 6 6 6x6

2 Stephen Curry s record during the 2017 2018 NBA final game is made up of 2 point shots and 3 points His total points scored for the final game was 45 points with 19 shots made How many 2 point shots did he make How many 3 point shots did he make

A charter school did a local beach cleanup They collected a total of 55 pounds of plastic bottles and aluminum cans The California refund value for plastic is 1 60 per pound and 1 28 per pound for aluminum The school recycled a total of 77 60 worth of plastic and aluminum How many pounds of each plastic and aluminum did the class collect

2 John and Jen went to the farmers market to buy fruit John bought 3 boxes of oranges and 9 boxes of cherries for 78 Jen bought 8 boxes of oranges and 4 boxes cherries for 58 The system of equations 3x 9y 78 18x 4y 58 can be used to represent this situation a Find how much does a box of oranges and a box of cherries cost b Their friend Denice showed up late and wants to 2 boxes of oranges and 3 boxes of cherries How much in total would she have to pay

octors work with various substances in their practice For example rubbing alcohol is used as an antiseptic For example nurses use a 70 alcohol solution as an antiseptic before giving an injection but will not use a 90 solution The reason being is a 90 alcohol solution is too strong and will coagulate the protein in contact and change the state of the protein Sometimes 40 alcohol solutions are used Nurses and doctors must use a system of equations to create their own mixture to fit their needs SE 2 The nurse has Mixture X a 20 alcohol solution and Mixture B a 100 alcohol solution but the nurse needs 15 liters of a 40 alcohol solution how should the nurse solve this problem The nurse can solve this problem by using a system of equations The system of equations 20x y 15 represents this situation where x is the number of liters of Mixture X and y is the number of liters in Mixture Y How many liters does the nurse need from Mixture X How many liters does the nurse need from Mixture Y

Solve the real world situation by using the substitution method 1 A ship travels at a rate of 18 kilometers per hour from its port A second ship is 34 kilometers behind the first ship when it starts traveling in the same direction at a rate of 22 kilometers per hour to the same port Let d represent the distance the boats are from the port in kilometers and t represent the amount of time in hours The system of equations d 22t 18t 34 can be used to represent the situation a Solve the system of equations Which of the following is the solution to the system of equations Select one A 5 5 121 B 8 5 187 C 17 374 D 34 748

4 Now calculate the standard deviation for the Journey sample 6 5 4 5 6 4 and The Police sample 3 8 5 1 9 4 separately below Journey The Police

For 1 6 determine if the system has one solution no solution identify the ordered pair x y 1 y 3x 3 y x 3 6 4 2 4 2 2 4 2 4 6

students scored in the 80 89 range 13 How many total students took the math test 14 Eight new students took a make up test today and received the following scores 72 75 76 84 88 97 98 99 Using your pencil add these scores to the histogram to the right by extending the height of the bars as necessary Learning Goals from Lesson 10 1 I can make a scatter plot of a set of data and observe whether there is a correlation I understand that if there is a strong correlation you can fit a line to the data and use the equation of the line to make predictions Amount of New Snow in inches x Number of Snowsliders y 2 4 Equation for Line of Best Fit 6 8 10 1146 1556 1976 2395 2490 Number of Snowsliders 2500 2000 1500 15 The number of snowboarders skiers at a resort per day and the amount of new snow the resort reported that morning are shown in the table Graph the paired data below for the five days listed and then draw and determine the equation of the line of best fit through the data 1 2 point 1000 Frequency 500 16 y 0 14 12 10 8 6 4 How I Did Circle one I m still learning it I got it 2 0 60 69 70 79 80 89 90 99 Test Scores X 4 8 12 New Snow in 6 If the resort reports 15 inches of new snow how many skiers and snowboarders would you expect to be at he resort that day You should use your equation from the previous problem 1 2 point

0 15 2 35 V 30 13 5 20 34 X The sample with the outlier will have a higher mean The sample with the outlier will have a higher median 34 The sample with the outlier will have a higher standard deviation Learning Goal from Lesson 9 2 I can represent data with dot plots and histograms and I understand the influence of outliers to 13 5 True 2 35 0 15 H 20 How I Did Circle one I got it 9 Mr Smith a teacher at Learn4Life likes 16 Journey songs If Mr Smith s data value of 16 is added to the Journey sample in Problem 1 you now have a sample set of 6 5 4 5 6 4 16 Decide what effect if any the outlier will have on the mean median and standard deviation 1 2 point 30 False I m still learning it

HW 1 The data below is shown along with two possible lines of fit and their equations Use the blank tables to calculate the residuals for both lines of fit and then find the sum of the squared residuals Identify the line with a better fit y actual y actual Predicted from Equation Residuals X Square of Residuals Line of fit A 10 When you are finished check the solutions with your teacher 21 10 21 y 2x 1 5 11 5 11 15 29 15 29 20 42 20 42 Possible Line of fit A Possible Line of fit B X y actual Predicted from Equation Residuals Line of fit B Square of Residuals 10 21 y 2x 1 y 2x 1 y 2x 1 5 11 Compare the sum of the squared residuals to determine which line has the better fit 15 29 20 42

10 Decide which of the following lists of song data is represented by the dot plot given below Choose yes or for each list of data presented 1 2 point 2 2 3 4 4 5 5 6 6 6 6 7 7 8 2 4 4 5 5 5 6 6 6 6 6 7 7 7 8 2 2 4 4 5 5 5 6 6 6 6 7 7 8 3 4 2 5 6 Data Set 1 3 7 8 11 The frequency distributions of two data sets are shown in the dot plots below 1 2 point 9 10 11 12 Yes 00 Select the one correct statement that describes these data sets The mean and median are greater for Data Set 1 The mean and median are greater for Data Set 2 The mean and standard deviation are greater for Data Set 1 The mean and standard deviation are greater for Data Set X 8 9 Data Set 2 90 0 0 No 2 3 4 5 6

6 Examine the data for calculate the mean and median of both Groups A and Group A 1 Group B 4 Explain or show your reasoning below for your choice 0 15 2 35 The mean of Group B is smaller than Group A and the median is larger The mean of Group B is smaller than Group A and the median is the same The mean of Group B is larger than Group A and the median is the same The mean of Group B is smaller than Group A and the median is the same 30 4 5 13 5 Lesson 9 4 1 2 point 7 The number of songs enjoyed from Dr Dre by Learn4Life students schoolwide is normally distributed with a mean of 8 0 songs and a standard deviation of 2 0 songs What is the probability an individual student likes more than 10 songs from Dr Dre 20 a 6 6 34 8 11 34 13 5 ta 12 2 35 0 15 2a 3a

Learning Goal from Lesson 9 1 and Lesson 9 4 I can calculate analyze and compare the measures of center mean and median and measure of spread standard deviation for data sets Lesson 9 1 1 2 point The number of songs known and liked from the band Journey by a sample of six L4L teachers is below 6 5 4 5 6 4 What is the mean of this sample 1 How I Did 2 I got it I m still learning it Lesson 9 1 1 2 point The number of songs known and liked from the band The Police by a sample of six L4L teachers is also below 3 8 5 1 9 4 What is the mean of this sample Lesson 9 1 1 2 point 3 Without doing any calculations which data set Journey or The Police has the higher standard deviation How do you know