Functions Questions and Answers

A system that limits imports to a certain number of units is known as an import quota O import embargo O import tariff O import duty

Patrick and his family went for lunch He paid 245 75 for the food inclusive of taxes What type of tax was paid by Patrick to the shopkeeper Progressive tax Regressive tax Proportional tax O All of the choices

Choose the correct answer The type of tax that increases in proportion to an individual s ability to pay is called a an proportional tax progressive tax O regressive tax

Question 7 Points 2 What hampers the Fed s ability to quickly react in setting its monetary policy Gathering data about the entire current money supply is difficult The Fed officers often must bend to political pressures or they risk being fired Decisions enacted by the Fed often take years before they take effect District banks are actually in competition with each other so they do not communicate openly

If the reserve requirement for a bank is 20 how much can a bank loan out of a 1 500 deposit 300 O 1500 O 1200 O 1300

Lesson 8 Cubes and Cube Roots Cool Down Cube It Find the solution s to each of these equations or explain why there is no solution 1 x 2 5 2 Vy 8 1 I

Clear my cho ce The half life of a certain radioactive material is mass of 361 kg Write an exponential function th much radioactive material remains after 5 days I 32x 12 0 kg

Find the first three positive values of for which the problem 1 x y 2xy 2y 0 y 0 0 y x y x bounded on 1 1 has nontrivial solutions Enter your answers as a comma separated list

Graph the solution set of the inequality where x is x 5 3

Naomi categorized her spending for this month into four categories Rent Food Fun and Other The percents she spent in each category are pictured here Food 22 LA Other 34 Rent 29 Fun 15 If Naomi spent a total of 2600 this month how much did she spend on Food

Kara categorized her spending for this month into four categories Rent Food Fun and Other The amounts she spent in each category are pictured here Food 356 Other 533 Rent 444 Fun 267 What percent of her total spending did she spend on Food Answer to the nearest whole percent

Previous Ansuser 3 4 Evaluate tan 240 and 7T 4

tom of equations graphically If the syst

Error Analysis Adding and Subtra Directions Read the problem below The problem was solve the problem correctly Problem Simplify 3x 7x 2 4x 9x 3 Student Work Explain

An LR series circuit has a variable inductor with the inductance defined by 0 st 20 t 20 Find the current i t if the resistance is 0 1 ohm the impressed voltage is E t 4 and 0 0 0 st 20 i t L t Graph i t i t 40 30 20 10 i t 40 30 20 10 20 F t 20 5 10 10 15 20 20 30 25 30 40 t t i t 40 30 20 10 i t 40 30 20 10 5 10 15 10 20 20 30 25 30 40 t

Q 2 Choose a point in the domain of the function f x y ln sin following A M 0 3 0 3 D M 0 2 0 3 B M 0 1 0 3 E M 0 5 0 2 CM 0 2 0 2 from the Q 3 Let M be a point on the circle x 2 y 4 Given that M has polar coordinates ro 3 in the standard polar coordinate system x r coso y r sin o What is the value of ro A 3 2 B 2 2 C 4 D 2

15 Martin s family is driving to the be per hour on the trip The distance r of hours since the family began dri Determine appropriate input values for

WAGE LABOR All workers in the western state The original work Supply Demand O Demand Which of the following groups are better off as a result of the union action in the western state Check all that apply Employers in the western state Workers in the western state employed at the union wage Supply

Which of the following represents a weakness in using GDP to gauge America s economic health It does not include government expenditures it double counts some items by including both the value of the raw materials and the finished product OIt can only estimate non monetary compensation like food fuel and housing It ignores trade deficits

13 Use differentials or a linear approximation to approximate 1293 Hint 1293 is close to 1296

Part II A graphing calculator may be used for this part However none of these exercises require the use of a graphing calculator Each exercise worth 6 points 10 Consider the function f x 9x 18 sin x on the domain 0 27 Use calculus and algebra to determine where the function is increasing decreasing Use exact values in your response

7 Evaluate the limit lim x 0 sin 11x 6x tan 4x

9 Using the given table of values evaluate each expression You may assume that f x and g x are continuous functions a b X 2 f x 1 g x 10 f x 4 g x 8 c 2 where c x x g x 3 8 12 20 1 w 7 where w x f g x 5 13 5 18 5 6 18 9 4 20 7 18 5 7 9 16 0 2 9 2

Question 7 Points 2 Imagine you are a production manager at a manufacturing company From recent market research it has been determined that the aggregate price level has increased Which of the following can you expect O An increase in production O A decrease in production O Layoffs O A hiring freeze

The population of a community is known to increase at a rate proportional to the number of people present at time t The initial population Po has doubled in Suppose it is known that the population is 9 000 after 3 years What was the initial population Po Round your answer to one decimal place Po What will be the population in 10 years Round your answer to the nearest person persons How fast is the population growing at t 10 Round your answer to the nearest person

When a vertical beam of light passes through a transparent medium the rate at which its intensity I decreases is proportional to I t where t represents the thickness of the medium in feet In clear seawater the intensity 3 feet below the surface is 25 of the initial intensity I of the incident beam What is the intensity of the beam 12 feet below the surface Give your answer in terms of Io Round any constants or coefficients to five decimal places

Use the even odd and periodic properties of the trigonometric functions to simplify 5 cot 0 3 cot 0 O 8 cot 0 8 cot 0 2 cot 8 8

b For a Function to be one to one it would have to cross the x axis at only 1 point in the graph Cosx when graphed crosses the x axis at mutiple points indefinetly making it not one to one e in order to find the asymptotes and the min max for 3csc2x we would have to first graph 3sin2x the statment does not make sense since graphing 3cos2x would gi us access to finding 3sec2x

Write a piecewise function that models the cellular phone billing plan described below Let x represent the number of minutes used and C x represent the cost for those x minutes Then graph the function 25 00 per month buys 350 minutes Additional time costs 0 20 per minute Fill in the missing values or expressions for the piecewise function below if 0 x C x Simplify your answer Do not include the symbol in your answer

Factor the expressions and simplify factors using fundamental identities if possible 4 COS X S sin x

Pearson P Pearson M Course Conten Question OT 11 1 point Attempt 1 of Unlimited V Use fundamental trigonometric identities to find Given cos 0 Part 1 of 2 sin 0 8 17 for 0 in Quadrant IV find si 15 17

Find the reference angle for the given angles Express your answers in degrees Part 0 4 Part 1 of 4 a 120 0

Official Miam Pearson Acc P Pearson MyL M Course Home Co Let P x y be a point on the terminal side of an angle d origin Fill in the boxes to form the ratios defining the six tr Part 1 of 6 a sin 0 Part 2 of 6 b cos 0 Choose one V Choose one W Choose one V Choose one V

Write 10 as a decimal an 10 as a decimal 10 as a fraction

Use the given information to find the exact function value 2 Given cos 0 and sin 0 find sin 20 10 50 7 25 07 25 07 50

If the pints in the table lie on a parabola write the equation whose graph is the parabola X 1 1 3 Y 6 14 6 Y Simply your answer Use integers or fractions for any numbers in the expression 5 66

A rat weighing 170 g requires an injection of antibiotic at a dose of 300 mg kg The antibiotic is available in a strength of 0 2 mg mL What volume of antibiotic do you need please trust your math regardless of patient impracticality Oa 0 025 mL Ob 255 mL c2 5 mL Od 0 002 ml

Write 75 as a decir 75 as a decimal

K The following table shows a certain country s petrochemical exports to another country in billions of dollars for several years Let x 10 correspond to the year 2010 Two equations that model these data are y 1 48x 2 04 and y 2x 3 Complete parts a through c below Year Petrochemical exports Year Residual Type integers or decimals Year Residual Type integers or decimals 2010 17 2010 2011 18 2010 The model 2011 The sum of the residuals for y 1 48x 2 04 is Type an integer or a decimal Find the residuals for the second model y 2x 3 2012 20 2011 2012 2012 2013 23 2013 2013 The sum of the residuals for y 2x 3 is Type an integer or a decimal b Find the sum of the squares of the residuals for each model 2014 23 9 2014 2014 SILE The sum of the squares of the residuals for y 1 48x 2 04 is Round the final answer to two decimal places as needed Round all intermediate values to two decimal places as needed The sum of the squares of the residuals for y 2x 3 is Round the final answer to two decimal places as needed Round all intermediate values to two decimal places as needed c Decide which model is the better fit Choose the correct answer below is the better fit because the equation of the line that has the is the better fit

The total cost of producing units of a certain commodity is given by Co 7x6 7 Does marginal cost increase or decrease with increasing production Marginal cost is decreasing Not enough information to answer Marginal cost is constant Marginal cost is increasing

Answer the questions about the following function X 2 X 8 f x a Is the point 2 on the graph of f 3 b If x 3 what is f x What point is on the graph of f c If f x 2 what is x What point s are on the graph of f d What is the domain of f e List the x intercept s if any of the graph of f f List the y intercept if any of the graph of f

Lesson 7 Inequivalent Equations Cool Down Can You Square It Find the solution s to each of these equations or explain why there is no solution 1 x 2 5 2 y 8 1

Cool Down Squares and Roots 1 Find the solution s to each equation x 7 y 7 2 How would you explain why the equation z 7 does not have a solution 1200220 R

Lesson 4 Positive Rational Exponents Cool Down Third It 1 What is 23 raised to the third power 2 Write 23 using radical notation 3 What two whole number powers of 2 does 23 come between

Watch help video The expression 56 54 is equivalent to 5 2 2 52 O 524 24 25 LO Submit Answer

Feb 24 12 47 47 PM Watch help video The expression 7 74 is equivalent to 7 25 27 49 25 49 Submit Answer

In which set s of numbers would natural number rational number PORTAL

David Perez Simplify Fractional Exponents Type 1 Feb 24 12 38 18 PM Watch help video 5 Express 8 in simplest radical form 83

Exponents Type 1 Feb 24 10 38 36 AM Watch help video Express 30 in simplest radical form

D Question 2 GOOD LUCK How many significant figures does the result of the following operation contain 8 52010 7 90 OS