Complex numbers Questions and Answers

1 1 point Select all of the following that represent quadratic expressions 2x 5 3x 2x 000 x x 1 x 2 x 1

Use the distributive property to remove the parentheses 8 5x 6y 8 5x 6y

2 SALES A street vendor is selling T shirts outside of a concert arena The colors and sizes of the available T shirts are shown in the table The vendor selects a T shirt that is blue or large

Calculate 7x10 5 3 10 3 Write your answer in scientific notation 1 x10

Use the distributive property to remove the parentheses 3n 6n 1 4 3n 6n 1 4 Simplify your answer

Determine whether the terms are like or unlike 2x and 2 Are the terms like or unlike O Like O Unlike

Evaluate the following expression using the given values of the variables 3x 4y x y 3x 4y x y for x 5 y 2

Simplify the following expression 1 20x 10 10 6x 1 20x 10 10 6x Use integers or fractions for any numbers in the ex

Evaluate the given algebraic expression for x 6 7x 6 The solution is Type an integer

5 The graph to the right shows the temperature during a day in Ames a What was the average change in temperature from 9 am to 1 pm b Estimate how fast the temperature was rising at 10 am and at 7 pm 6 The graph shows the distance of a car from a temperature F 80 70 A noon

Use the Distributive Property to remove the parentheses in the following expression 7 m 5 7 m 5 Simplify your answer

Simplify the algebraic expression by combining like terms 9x 17x 2 9x 17x Simplify your answer

Simplify the expression by combining any like terms 3g 2g 3g 2g

Use the distributive property to remove the parentheses 4 x 9 4 x 9 Simplify your answer Use integers or fractions for any numbers in the expression

Determine whether the terms are like or unlike 6x k and 5xk Are the terms like or unlike OA The terms are unlike terms because the variables are the same but the exponents on the variables different OB The terms are like terms because the variables and the exponents on the variables are the same OC The terms are unlike terms because the variables are different but the exponents on the variables same OD The terms are like terms because the variables and the exponents on the variables are different

Determine whether the following terms are like or unlike 5 p and p 3 4 Are the terms like or unlike OA Unike because the terms have the same variable factor but with different exponen OB Unike because the coefficients of both terms are different OC Like because the coefficients of both terms are fractions OD Like because the terms have the same variable factor

Evaluate the expression 10y y 40 for y 2 When y 2 10y y 40 Simplify your answer

Determine the coefficient of the term 6x The officient in

Give the numerical coefficient of the term XW The numerical coefficient is

K Americans trust in government and the media has generally been on a downward trend since pollsters first asked questions on these topics in the second half of the twentieth century Trust in government hit an all time low of 14 in 2014 while trust in the media bottomed out at 32 in 2016 The bar graph shows the percentage of Americans trusting in the government and the media for five selected years Use this information to answer parts a c a Use the information in the graph to estimate the yearly loss in the percentage of people trusting in government The yearly loss in the percentage of people trusting in government is Round to the nearest tenth as needed Percentage The model predicts the percentage of people trusting in government will be in 2024 Type an integer or decimal rounded to the nearest tenth as needed 70 60 50 40 30 20 10 b Write a mathematical model that estimates the percentage P of people trusting in government x years after 2003 The mathematical model P estimates the percentage P of people trusting in government x years after 2003 Use integers or decimals for any numbers in the expression Use the answer from part a to answer this part c If the trend shown by the data continues use the mathematical model from part b to project the percentage of people trusting in government in 2024 Trust in media Trust in Goverment 55 35 31 47 19 44 2003 2007 2011 18 40 16 41 2015 2019

How much more would you earn in the first investment than in the second investment 22 000 invested for 40 years at 12 compounded annually 22 000 invested for 40 years at 6 compounded annually Click the icon to view some finance formulas You would earn more on the first investment than in the second investment

K With aging body fat increases and muscle mass declines The line graphs show the percent body fat in adult females and males as they age from 25 to 75 years Use this information to complete parts a through c below CE a Find an estimate for the percent body fat in 75 year old males Type a whole number b At what age does the percent body fat in males reach a maximum years old Type a whole number What is the percent body fat for that age Type a whole number c At what age do males have 23 body fat years old Type a whole number Percent Body Fat 40 36 32 28 24 20 15 Percent Body Fat in Adults 25 35 45 Age Females Males 55 65 75 oo

Match the story with the correct graph As the leak in the pipe became worse the liquid flowed faster and faster Choose the graph below that best illustrates the story OA Amount of liquid Time OB Amount of liquid Time O C Time O D Time

points reflected across a line the shape of a reflected figure and reflections appearing in a tessellation or mosaic Question 1 Imagine reflecting triangle ABC across line MN Then answer the questions about the reflected figure

11 Use the formula from above to find the Interest rate 1 54 P 450 t 2 years r 6 7

Estimate the product by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head Then use a calculator to perform the computation How reasonable i your estimate when compared to the actual answer 62 of 811 754 The estimated product is Type an integer

4 1 point The solution to the system is 3 4 3x 2y 1 4y 7 3x True False

Choose the correct answer below Points 0 of 1 Choose which reasoning process is shown in the following example Explain your answer An HMO does a follow up study on 826 randomly selected patients given a flu shot None of these people became seriously ill with the flu The study concludes that all HMO patients be urged to get a flu shot in order to prevent a serious case of the flu OA It is inductive reasoning because a general conclusion is drawn based on specific observations OB It is deductive reasoning because a general conclusion is drawn based on specific observations Save OC It is inductive reasoning because the flu is epidemic If someone does not take the flu shot there is a great possibility for that person to catch a serious case of the flu OD It is deductive reasoning because additional information may prove that other patients may not have taken the flu shot and still did not catch a serious case of the flu

Identify the reasoning process induction or deduction Explain your answer The data in the graph are from a random sample of 1200 full time four year undergraduate college students on 100 campuses The bar chart shows the percentage of students identifying the greatest problem on campus We can conclude that there is a high probability that approximately 15 of all full time four year college students believe that drug abuse is the greatest problem on campus 50 40 30 20 10 0 The Greatest Problems on Campus B C A A Alcohol Abuse B Cost of Education C Student Loan Debt D Lack of Financial Aid E Drug Abuse F Drunk Driving Select the correct answer below OA This is an example of deductive reasoning because a general conclusion is reached based on a specific example OB This is an example of inductive reasoning because a specific conclusion is reached from general facts OC This is an example of deductive reasoning because a specific conclusion is reached from general facts OD This is an example of inductive reasoning because a general conclusion is reached based on a specific example E F

Determine whether the statement makes sense or does not make sense and explain your reasoning I used the 2000 data shown in the bar graph to conclude inductively that by 2030 online classes will not be perceived as equal in value to those taken in a classroom Percentage of College Students 80 70 60 50 40 30 20 10 0 Comparing Online Classes wth Those Taken in a Classroom 30 Equal Educational Value 62 Unequal Educational Value 8 No Response Points 0 of 1 Choose the correct answer below Save OA The statement does not make sense because it is not possible to arrive at a general conclusion based on observations of one specific example OB The statement makes sense because it is possible to provide a specific conclusion from one or more general statements OC The statement does not make sense because it is not possible to provide a specific conclusion from one or more general statements OD The statement makes sense because it is possible to arrive at a general conclusion based on observation of a specific example

3 1 point The bill for five glasses of apple juice and four salads is 9 50 but the total for four glasses of apple juice and five salads is 10 30 What would the be the bill for a glass of juice and a salad not enough information to determine 2 20 1 30 0 70 Next

14 1 point There is no solution to the system 3x 5y 20 2x 5y 20 True False Previous

Show that Eno Pn cos 0 csc Hint sin 1 cos x 2

K Select the choices that correctly complete the sentence below Consider the place value chart for the number 8 732 464 Millions period hund tens ones 8 Thousands period hund tens 3 7 ones 2 Ones period hund 4 tens ones 6 4 In order to round 8 732 464 to the nearest thousand we look at the thousands digit which is rounded Thus 8 732 464 rounded to the nearest thousand is The digit to the right of the thousands digit is so we the dign

Round the following decimal to the given place value 12 23978 to the nearest ten The decimal 12 23978 rounded to the nearest ten is Type a whole number or a decimal

Part 1 of 2 a Estimate the sum 5962 7793 b Based on your estimation in part a does an exact sum of 11 755 seem reasonable a The estimate for the sum is

Round the following decimal to the given place value 346 324 to the nearest whole number The decimal 346 324 rounded to the nearest whole number is Type a whole number

Round the decimal to the given place value 41 70483 nearest thousandth 41 70483 rounded to the nearest thousandth is

Round the decimal to the nearest tenth 0 79 0 79 rounded to the nearest tenth is 0

Determine the place value of the digit in the given whole number 86 074 777 the 0 Choose the correct answer below Ten millions Millions O Hundred thousands O Ten thousands

Find the place value of the underlined digit in the decimal 84 606 Choose the correct answer below O tenths O ones O hundredths O thousandths O tens

Determine the place value of the digit 7 in the whole number 5271 Choose the correct answer below hundreds O tens O ones O thousands

Identify the place value of the digit 8 in the decimal number 417 584 Choose the correct answer below O thousandths O hundredths O tenths O ones

Express the given interval as an inequality in terms of x and select the graph of the interval 5 9 The inequality is

K Write the inequality in interval notation Graph the inequality 6 x 0 What is the resulting interval Type your answer in interval notation

Write the inequality using interval notation x 3 The inequality can be written as 4 ANAAN

Determine if the triangles in the given pair are similar Choose the correct answer below 630 90 27 63 27 O A The triangles in the given pair are similar under the Angle Angle Angle Case because all of the corresponding angles have equal measures OB The triangles in the given pair are similar under the Side Angle Side case because the lengths of the two given corresponding sides in each triangle are proportional and th angles between the corresponding sides have equal measures OC The triangles in the given pair are not similar under the Side Angle Side case because the lengths of the two given corresponding sides in each triangle are proportional bu the angles between the corresponding sides do not have equal measure OD The triangles in the given pair are not similar under the Angle Angle Angle Case because at least one pair of corresponding angles does not have equal measures

Graph each inequality on the number line and write in interval notation Enter your answer using interval notation Example 2 1 5 6172 Use U for union to combine intervals and oo for Infinity Example 00 2 U 4 00 a 1 5 z 4 5 i Graph the inequality b C 4 3 2 1 0 Clear All Draw ii Write in interval notation 5 4 x 1 i Graph the inequality 4 3 2 Clear All Draw ii Write in interval notation 3 4 5 i Graph the inequality 5 4 3 1 0 2 1 Clear All Draw ii Write in interval notation 0 1 2 3 1 1 2 3 4 O 4 2 4

Simplify the following polynomial Express your answer as a single polynomial in standard form 2x 19x 13 2x 4x 8 2x 19x 13 2x 4x 8 Simplify your answer

5 8x y 4x y 3 8x y 4x y Simplify your answer Use positive exponents only