Functions Questions and Answers

to the right determine whether an exponential function a logarithmic function a linear function or a quadratic function is the best choice for modeling the data Choose the correct answer below OA quadratic function O B logarithmic function OC linear function D exponential function OOO COTE This question 1 point

x4 4 4 4 4x4 4 4 8 84 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8 8 4x8 CLEAR 8 8 8 8 None

x 4x4 Which value is NOT equivalent to the others 4 4 4 4 4

2 15 x 13 x 13 15 x 15 x 15 x 13 x 13 to the others 152 x 15 x 13 15 x 132 X

AABC and AADE are similar Find the length of side CA E 12 D B4 A

1 5 Score 1 Penalty 1 of id Perez onential Functions Basi

Here is a table showing all 52 cards in a standard deck Color Red Suit Ace Two Three Four Five Six Seven Eight Nine Ten 3 Hearts A Red Diamonds A Black Black Spades A Clubs 5 8 a What is the probability that the card drawn is a face card 0 10 b What is the probability that the card drawn is a black card 0 10 10 Suppose one card is drawn at random from a standard deck Answer each part Write your answers as fractions Face cards c What is the probability that the card drawn is a face card or a black card Jack Queen King K X

Circle A has the following equation x y 100 The radius of circle A is Report only the NUMBER of your answer below AL

Exercise 2 Given z EC such that 27 1 and 2 1 find all ne Z such that z2n 3 23 3

Question 3 SE Model 40 points Using the theories and ideas we learned in class about traditional Classical Keynesian and Monetarist macroeconomics write down build your own simultaneous equations SE model that represents a general equilibrium of the macroeconomy The model must satisfy the following criteria Contain at least four 4 structural equations but not more than 10 Cover both the real and nominal sides of the macroeconomy Include at least one 1 Government agent Complete equations for all elements of identities both supply and demand etc Clear notation including time subscripts variable definitions and parameter signs EXCLUDES any lagged endogenous variables e g y Answer the following questions a For each structural equation write a brief explanation of the macroeconomic theory and intuition underlying the equation Be sure to note whether it is Classical Keynesian or Monetarist in nature and why b Explain your definition of macroeconomic general equilibrium and how your model is consistent with it HINT It may be helpful to explain what you left out of the model and why c Try to solve your SE system of equations If you get stuck and can t solve the model or it turns out to be unsolvable just write a brief explanation of your conclusion HINT Don t spend too much time on this d Convert your SE model to matrix algebra format Ty Bx e a Write your SE system of equations in expanded form with vectors y u and x xxx plus all elements of the matrices I LXL and B LxK b Using the simple formula for any generic SE model ly Bx i e without detailed elements of y x I and B derive the reduced form solution of the model Be sure to show the formulas for 1 the mapping between structural and reduced form parameters and 2 the mapping between structural and reduced form errors

The polynomial function g is defined by g x 2x 3x 5x x 5 Use the ALEKS graphing calculator to find all the points x g x where there is a local maximum Round to the nearest hundredth If there is more than one point enter them using the and button g x D DED

Question 1 Identifying run on sentences is the first step in eliminating th that contains a run on O My cat was upset all day because he didn t get canned food for br O My academic advisor told me not to take 18 credit hours for the fa O When the student fell asleep in class everyone thought this was r

This question 1 point s possible graph on the right shows the average cost of room and board at four year public and private colleges for four selected years from 2011 through 2017 The data can be modeled by f x 943x 3087 and g x 38870 135x in which f x and g x represent the average cost of room and board at public four year colleges in the school year ending x years after 2010 Use these functions to complete parts a through c below a According to the linear model what was the average cost of room and board at public four year colleges for the school year ending in 2013 The average cost in 2013 was Round to the nearest dollar as needed b According to the exponential model what was the average cost of room and board at public four year colleges for the school year ending in 2013 The average cost in 2013 was Round to the nearest dollar as needed c Which function is a better model for the data for the school year ending in 2013 OA The exponential model is better OB The linear model is better O Submit quiz Average Cost of Room and Board at Four Ye Colleges 4000 2000 0 16000 14000 Public Colleges 12000 Private Colleges 10 511 10000 8000 5630 591 75 38431922 6000 4234 525 2011 2013 2015 2017 Ending Year in School Year

3 Find an exponential function of the form whose graph is given 0 5 25 2 1 05 0 2 2 5 3

Find a positive angle less than 27 that is coterminal with the given angle 47x 6

00 is deposited in a bank account paying 7 compounded quarterly for 9 years Answer the questions below The amount in the account after 9 years is A P OB A The value of n is The value of t is The value of ris

her retirement goal Answer the questions below based on this scenario What value does 1 220 000 represent OA P OB A What is r This question 1 point s possible HS to retire at age 65 with 1 220 000 in her retirement account She wants to determine the amount would she have to set aside now in an investment paying 8 annual interest if the compounding is done daily assume 36 What is t What is n

Find all integers a and b such that a 18 b 7 1 126 For the toolbar press ALT F10 PC or ALT FN F10 Mac BIUS Paragu

Use factoring to solve the quadratic equation Check by substitution or by using a graphing utility and identifying x intercep X 4x 45 0 The solution set is Use a comma to separate answers as needed Type each solution only once FIND M

5 63 4 45 of 8 points Points 0 25 of 1 A company that manufactures small canoes has a fixed cost of 24 000 It costs 20 to produce each canoe The selling price is 40 per canoe In solving this exercise let x represent the number of canoes produced and sold a Write the cost function C x 20x 24000 Type an expression using x as the variable b Write the revenue function R x 40x Type an expression using x as the variable c Determine the break even point Type an ordered pair Do not use commas in large numbers Part 3 of 4 GIES

K Points 0 of 1 An entrepreneur invests in a new play The cost includes an overhead of 36 750 plus production costs of 1500 per performance A sold out performance brings in 2250 Assume every performance is sold out and let x represent the number of sold out perfo a Write the cost function C C x 36750 1500x Type an expression using x as the variable b Write the revenue function R R x Type an expression using x as the variable

A lumber yard has fixed costs of 5 276 00 per day and variable costs of 0 28 per board foot produced Lumber sells for 2 28 per board foot How many board feet must be produced and sold daily to break even OA 2638 board feet OB 1 758 board feet OC 18 842 board feet OD 2 060 board feet GEETH

O Points 0 of 1 An entrepreneur invests in a new play The cost includes an overhead of 36 750 plus production costs of 1500 per performance A sold out performance brings in 2250 Assume every performance is sold out and let x represent the number of sold out performance a Write the cost function C C x Type an expression using x as the variable ACCESD points

O Points 0 of 1 The figure to the right shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios The solid red line represents the revenue function R x 45x the dashed blue line represents the cost function C x 5 000 35x Use the formulas to find R 200 C 200 Describe what this means for the company Select the correct choice below and fill in the answer boxes within your choice Type integers or decimals OA R 200 C 200 OB R 200 C 200 which represents a which represents a loss for the company gain for the company SZO Ay 40000 30000 20000 10000 O 0 0 200 400 600 Radios Produced an

Find 1 1 1 2 1 3 dy if dx 2 y sinh cos x 2 X x y xy y tan x tan x

Points 0 of 1 A company that manufactures small canoes has a fixed cost of 24 000 It costs 20 to produce each canoe The selling price is 40 per canoe In solving this exercise let x represent the number of canoes produced and sc a Write the cost function C x Type an expression using x as the variable

Determine whether 1 2 is a solution of the system x 3y 7 3x y 1 Is 1 2 a solution of the system OYes No

Nicholas borrowed 250 from his parents to buy a video game system has agreed to pay them back 15 each week Which equation represents the amount of money Nicholas still owes his parents p after w weeks

The domain of the function f x x 11x 24 consists of one or more of the following intervals A A B and B o where A B Find A Find B For each interval answer YES or NO to whether the interval is included in the solution 0 A A B B

Identify the type of proposition given T P O Biconditional O Tautology O Contingency O Contradiction

Fill in the blanks in the definition below The compound proposition that is always true regardless of the truth values of the variables in it is called a always false is called a The proposition that could be true or false is called a The compound proposition that is

Which is a pair of corresponding angles 5 1 6 2 A angle 1 and angle 6 B angle 3 and angle 6 Cangle1 and angle 4 angle 3 4

Which of the following angles is alternate interior angle to KAB J A EBX B FBX ATC E B F

in this problem s denotes the length of the arc of a circle of radius r 0 1 3 radian s 2 feet 6 0 1 Points feet 0 DETAILS PREVIOUS ANSWERS In this problem s denotes the length of the arc of a circle of radius r r 5 miles s 4 miles radians

CP Links Mc Gmail D2L B TRI Sine A right triang Use these len

VOLK Question 18 of 23 Lowell Company mak accumulated the foll Estimated unit sale Sales price per unit Direct labor hours Wage per direct la LdAl has a labor d will be fully operati

Use the simplex method to solve the following linear programming problem Find y 20 and y 20 such that 3y y 210 y 3y 2 10 and w 5y 21 is minimized The minimum is w Simplify your answers at y and y Com

How wide is the chasm between what men and women earn in the workplace According to a 2015 analysis from a national women s group women lose 435 049 over the course of a career because of the pay gap The bar graph to the right shows the average earnings in the United States for men and women at ages 21 and 55 This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right Complete parts a through c below a Use the two points for men shown on the graph to find a function in the form M x mx b that models average yearly earnings for men x years after age 21 M x Use integers or decimals for any numbers in the expression Round to two decimal places as needed b Use the two points for women shown on the graph to find a function in the form W x mx b that models average yearly earnings for women x years after age 21 W x Use integers or decimals for any numbers in the expression Round to two decimal places as needed M age 34 thousand Type an integer or decimal rounded to one decimal place as needed Next find the average yearly earnings for women at age 34 W age 34 thousand Type an integer or decimal rounded to one decimal place as needed How are these values shown on the graphs of the models for the data OA By the points 13 44 0 and 13 31 2 respectively OB By the points 0 65 and 0 38 respectively OC By the points 34 44 0 and 34 31 2 respectively D By the points 21 65 and 21 38 respectively This quiz 13 point s possible This question 1 point s possible thousand Average Yearly Earnings 1000s 6 8 8 8 8 8 8 Average Yearly Earnings in the U S by Gender and Age Men 50 Women 40 30 20 10 0 Age Average Yearly O Time Remaining 00 53 39 70 60 50 028 40 0 30 20 0 25 Women 10 c Use the models in parts a and b to find the average yearly earnings for men and women at age 34 How are these values shown on the graphs of the models for the data What is the difference between earnings for men and women at that age Start by finding the average yearly earnings for men at age 34 30 65 Submit quiz Mon 0 10 20 30 40 50 Years after Age 21 30 38

This quiz 10 point s possible This question 1 point s possible First create a scatter plot for the data in the table Then use the shape of the scatter plot given to determine if the data are best modeled by a linear function an exponential function a logarithmic function or a quadratic function OA 0 logarithmic function B 0 exponential function O C 04 linear function Q OD of quadratic function Q

2 The demand function for q units of a certain product is given by the equation p where p is in dollars p 505 ln q 10 Suppose that the cost function in dollars for q units of this product is C q 21q 3 a Find the marginal revenue function Recall Revenue price x quantity

Exposure to radiation rem is measured for certain distances ft from the source of radiation Create a scatterplot for the data Distance ft Exposure rem O A Choose the correct scatterplot below OC 200 160 120 80 40 Distance ft 200 160 120 80 Exposure to Radiation 40 0 6 123 0 9 54 11 10 15 20 Exposure rem Exposure to Radiation 5 TN4 5 10 25 10 44 15 20 25 30 Exposure rem 13 26 e 5 17 15 25 7 SZTER OD B Exposure rem wa sunsodig 200 120 200 160 120 80 40 80 40 160 0 0 offf A Exposure to Radiation 15 Distance 1 Exposure to Radiation 10 20 25 30 Fidelit 20 15 5 10 Distance 1 This question 1 point s pc 30 Q a Q a

A water skier is pulled up the ramp shown at 26 ft s How fast is the skier rising when leaving the ramp 9 3 ft The skier is rising at a rate of ft s Type your answer using the appropriate number of significant digits 2 5 ft

find the rational zeros and the other zeroes of the polynomial function x 3 11x 2 4x 7

Nancy invests 5000 into a savings account that has an interest rate of 5 7 and is compounded quarterly How much money will Nacy have in the accout after 7 years Round your answer to the nearest hundreth O 7585 07 602936

A specific bacteria is given a favorable growth medium the bacteria has a growth rate of 30 5 every hour In the beginning there are 100 bacteria how many bacteria will there be in 36 hours Round your answer to the nearest tenth O 149 1 bacteria O 152 3 bacteria O 1452039 5 bacteria O 1550236 7 bacteria

Use reference angles to find the exact value of the following expression Do not use a calculator tan 19 4 Determine the reference angle for O A The reference angle is 0 Type your answer in radians Use integers or fractions for any numbers in the expression Type an exact answe using as needed Select the correct choice below and if necessary fill in the answer box to complete your choice 19 4 tan 19T 4 Simplify your answer Type an exact answer using radicals as needed Use integers or fractions for any numbers in the expression Rationalize the denominator

7 2 What does it mean if the slope of a line is undefined Choose the correct answer below OA A line is vertical when its slope is undefined OB A line is horizontal when its slope is undefined OC A line is neither vertical nor horizontal when its slope is undefined OD It is impossible for a line to have an undefined slope

As people age daily stress and worry decrease and Percentage Reporting Stress 60 happiness increases according to an analysis of 340 847 adults ages 18 to 85 in a certain country 40 The graphs show a portion of the research Complete parts a and b below 30 50 20 10 22 Age 62 Percentage Reporting Stress 60 50 890000 40 30 20 10 22 54 62 18 0 15 30 45 60 75 Age G Part 1 of 2 a Find the slope of the line passing through the two points shown in the line graph Express the slope as a decimal Round to one decimal place as needed

abeled x Round your answer to one decimal place 14 108 X

Determine the domain and the range of the function f x cos cos 1x What is the domain of the function Type your answer in interval notation Type exact answers using it as needed Use integers or fractions fo numbers in the expression