Binomial theorem Questions and Answers

11 111 IV A normal economy will never be in equilibrium An economy will always be disrupted by innovation Innovation increases the economy Innovation stimulates investment All of the economic ideas in the list belong to which of the following economists O John Maynard Keynes O Adam Smith O Friedrich Hayek O Joseph Schumpeter

Evaluate the integral dz 2 z i z 3 where is the circle of radius 2 centered at the origin Hint use Cauchy s theorem or Cauchy integral formula

and the mathematical model for the following statement Remember to use k as the constant of proportionality V varies directly as I

Text Highlight Paragraph Insert Add comment 300 DUNI Lesson 2 Square Roots and Cube Roots Cool Down What is a Square Root 1 In your own words what does 7 mean 2 Find the two whole numbers that are closest to 22 Explain how you know they are the closest ones

In which set s of numbers w real number integer

David Perez Simplify Fractional Exponents Type 1 Feb 24 10 52 47 AM Watch help video Express 143 in simplest radical form

ode Live Online Class 38 work ecent high school graduate rec holarship money and invests it

A day at the Amusement Park The admission fee at an amusement park is 6 50 for children and 13 00 for adults On a certain day 293 people entered the park and the admission fees collected totaled 3 107 00 How many children and how many adults were admitted There were Question Help Video Submit Question children and adults admitted into the park

Explain the relationship between the terms line of best fit trend line and model PRACTICE 1 Estimate the equation of the line of best fit for each graph a YA 20 18 16 NASONA 0 14 12 6 4 2 10 YA 20 18 16 14 12 10 8 2 0 0 N 2 y O 4 6 8 10 12 14 16 18 20 X REMEMBER A line of best fit is a straight line that is as close to as many points as possible but does not have to go through any of the points on the scatter plot You can use the equation for a line of best fit to make predictions about bivariate data through interpolation and extrapolation twoo Journal entry 2 4 6 8 10 12 14 16 18 20 X b YA 20 18 16 14 12 10 8 6 4 2 d YA 20 18 16 14 12 10 A 0 8 6 4 2 0 24 y 6 8 10 12 14 16 18 20 X 2 4 6 8 10 12 14 16 18 20

Susan s old refrigerator will no longer maintain an even cooling temperature However she is not able to afford a new fridge right now She finds a store willing to sell her a 1 834 fridge on an installment plan with only 11 down The payments for the fridge over a 4 year period will be 42 33 per month What will be the total cost of the fridge including finance charges Round your answer to the nearest cent Do not include a dollar sign in your answer

a Find the remainder of 2 1000 in division by 400 Hint We cannot use Euler s theorem directly because 2 and 400 are not coprime b Find the last 3 digits of 3 2 1000

Question 1 Points 2 Read the following information Using your knowledge and information from the lesson answer the question below Model cars trucks trains and boats are a huge market in the United States This is why manufacturers have gotten together to create a website which allows consumers to post topics in a forum Topics include how to s as well as where to buy the perfect model kit Consumers share and receive advice and learn where they can by new model kits at this website What is the economic term for this type of website E commerce CO OP O Centralized Advertising O Centralized Marketing O Cybercommunity

Question 9 Points 1 When are workers paid higher wages O When workers perform a simple job When workers perform a hazardous job O When workers are uneducated O When workers are sick

Given the functions f x x 5x g x 5x h x 7x 9 Evaluate the function hf x for x 1 Write your answer in exact simplified form Select Undefined If applicable h f 1 is Undefined

HW Problem 13 5 pts For the following X 0 1 2 3 4 5 6 7 P X 0 002 0 113 0 245 0 322 0 184 0 088 0 035 0 011 a The Mean b The Variance o e The Standard Deviation o Discrete Distribu

Solve the given differential equation y 7 dx y sec x dy

1XN Solve for all degree solutions and if 0 0 360 Appro NE TANE 2 cos 0 8 6 cos 0 2 a all degree solutions Let k be any integer b 0 0 360 0

Set up a trigonometric ratio that will solve for the side x Y A B C 9 ft tan 51 sin 51 cos 51 D sin 51 OA X y x 9 x 9 9 X y 51 X

The manager of a farmer s market has 200 lb of grain that costs 1 70 per pound How many pounds of meal costing 0 80 per pound should be mixed with the 200 lb of grain to produce a mixture that costs 1 16 per pound

tion 3 Let 3 4 and 6 2 5 Find the angle between the vectors in degrees O

Find the inverse of the given elementary matrix 1 0 0 1 0 0 0 1 c C 0 0 0 1 0 1 0 0 0 1

Find the inverse of the given elementary matrix 1 0 1 5 1

Find the inverse of the given elementary matrix 20 0 1

Use regression to find an exponential equation that best fits the data above The equation has form y ab where 8

Let 3 A 6 E 42 F 2 1 4 Compute the indicated matrix If this is not possible enter DNE in any single blank E AF

nd the area under the standard normal distribution curve to the right of 1 Refer to the table of values Area Under the Standard Normal Distribution as eded The area to the right of 1 is

The system below exhibits a lower triangular pattern that makes it easy to solve by forward substitution Solve the system X E 2 2x y 2 2x 4y z 5 x y z

olve the given differential equation by using an appropriate substitution The DE is homogeneous dy y x y x 0 X X dx

A popular resort hotel has 400 rooms and is usually fully booked About 9 of the time a reservation is canceled before the 6 00 p m deadline with no penalty What is the probability that at least 372 rooms will be occupied Use the binomial distribution to find the exact value The probability is 0 Round to four decimal places as needed

A popular resort hotel has 200 rooms and is usually fully booked About 5 of the time a reservation is canceled before the 6 00 p m deadline with no penalty What is the probability that at least 188 rooms will be occupied Use the binomial distribution to find the exact value The probability is Round to four decimal places as needed

If GK z 20 and HJ z what is HJ K H J H I

Using 31 flavors how many different milkshakes can you create using five of the flavors

If an older television with an aspect ratio of 4 3 has a screen of 2400 square inches but the image has a letter box and is displayed with an aspect ratio of 16 9 how much area does the image actually occupy 3200 in 2600 in 1800 in2 1000 in 2 O

Convert the numeral to a numeral in base 10 11 1112 OA 22 222 OB 31 O C 62 O D 10

Write the numeral below as a Roman numeral 57 In Roman numerals the number is 0

Need Help 2 Points eriod y tan Read It ind the period and graph the function 1 x DETAILS rad Watch It 20 24

of 5 On each roll of dice what is the pro will earn an extra tu

Given that f x 28 h x h 1 4 h 1 7 Calculate f 1

Question 14 Points 2 Which of the following relations is correct regarding conversion factor O Unit ax conversion factor unit b O Unit a conversion factor unit b

Question 5 Write the system of equations as an a 5z 2y 12 20z y 84

a Consider the direction field of the differential equation dy dx x y 8 2 6 but do not use technology to obtain it Describe the slopes of the lineal elements on the lines x 0 y 7 y 8 and y 9 x 0 y 7 y 8 y 9 b Consider the IVP dy dx x y 8 2 6 y 0 yo where y 8 Can a solution y x as x Based on the information in part a discuss Oy x can approach as x approaches co O y x cannot approach as x approaches co

w many 6 card hands are possible with a 13 card deck number of hands is 325

Aaliyah owns a small textile company that produces shirts On a particular day Aaliyah has one worker come into the shop to make shirts She must pay the worker 28 per hour and also pay 2 per shirt for material costs The worker created an average of 4 shirts per hour and Aaliyah s total expenses for labor and materials were 144 Write a system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made Define the variables that you use to write the system

V 5 5 5 5 5 5 31 5 5 5 5 A B C y x 1 x 4 y x 1 x 4 y x 1 x 4

Factor the expression x 13x 42 a x 6 x 7 6 x 7x 7 b c x 13 x 29 d x 6 x 7

Find the gross income the adjusted gross income and the taxable income Bese the texable income a standard deduction or an itemized deduction The taxpayer is divorced filing as single earned wages of 41 700 with other table income and had adjustments She paid 1043 in state taxes

Given f z z 10z find and simplify the average rate of change of f z on the interval 1 1 h Your answer will be an expression involving h Submit Question

Jeanine Baker makes floral arrangements She has 18 different cut flowers and plans to use 7 of them How many different selections of the 7 flowers are possible How many ways can the 7 flowers be chosen

Write in logarithmic form 2 8 OA 2 log 38 OB 3 log2 8 OC 3 log 8 2 OD 8 log 2 3

Are You Ready For More Han notices 11 121 and x 1 x 2x 1 11 1331 while x 1 3 x 3x 3x 1 The digits in the powers of 11 correspond to the coefficients of the polynomials Is this still true for 114 and x 1 2019 Illustrative Mathematics All Rights Reserved Select one Otrue Ofalse Correct Submit Answer Problem ID PRABMRYU What about 115 and x 1 5 Select one Otrue false Next Problem Correct Submit Answer Next Problem