Functions Questions and Answers

If the supply function for a product is given by p your answer to two decimal places P S Need Help 1009 9 1 where a represents the number of hundreds of units what will be the price p when the producers are willing to supply 700 units C x Your answer cannot be understood or graded More Information

1 point Water is leaking out of an inverted conical tank at a rate of 7100 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate The tank has height 12 meters and the diameter at the top is 5 5 meters If the water level is rising at a rate of 23 centimeters per minute when the height of the water is 3 0 meters find the rate at which water is being pumped into the tank in cubic centimeters per minute Your answer cubic centimeters per minute

If the supply function for a product is given by p answer to two decimal places 100e9 q 1 your pas where a represents the number of hundreds of units what will be the price p when the producers are willing to supply 700 units Ro

Figure 14 6 Suppose a firm operating in a competitive market has the following cost curves PS P4 P3 31 Price Q1 Q2 Q3 Q4 is zero can be represented by the area P3 x Q3 can be represented by the area P3 P2 Q3 MC Refer to Figure 14 6 When market price is P3 a profit maximizing firm s profit can be represented by the area P3 x Q2 ATC AVC Quantity

Bill s Birdhouses COSTS Quantity Total Produced Cost 0 1 2 3 4 5 6 7 8 3 07 SO 6 50 102 157 217 285 365 462 582 Marginal Cost REVENUES Quantity Demanded 0 1 3 4 5 6 7 8 Price 80 80 80 80 80 80 80 Refer to Table 14 12 At what quantity does Bill maximize profits 80 80 Total Revenue Marginal Revenue

PRACTICE ANOTHE Mary Stahley invested 1500 in a 24 month certificate of deposit CD that earned 8 5 annual simple interest When the CD matured she invested the full amount in a mutual fund that had an annual growth equivalent to 18 compounded annually How much was the mutual fund worth after 11 years Round your answer to the nearest cent

15 000 is invested for 4 years at an annual simple interest rate of 11 a How much interest will be earned b What is the future value of the investment at the end of the 4 years

If you lend 3500 to a friend for 15 months at 8 annual simple interest find the future value of the loan

Find the product z1z2 and the quotient Express your answers in polar form Z2 Z cos 45 sin 45 z2 cos 120 sin 120 Z1Z2 11

How many different nth roots does a nonzero complex number have The number 81 has how many fourth roots fourth roots List these roots Enter your answers as a comma separated list In the complex plane these roots lie on a circle of what radius Graph the roots Im i 6 5 4 3 2 1 1 2 3 4 5 6 Re 6 5 4 3 2 1 Im bok

Sketch the vector indicated The vectors u and v are shown in the figure 2u v 1 y 10 8 6 4 2 V

Find the product z z2 and the quotient Express your answers in polar form Z2 Z 5 cos 80 sin 80 z 3 5 cos 75 i sin 75 Z1Z2 Z1 11 11

Deshaun takes out a loan for his college tuition 1 for 4 months Assume each month is of a 12 Do not round any intermediate computation

Frank obtains a loan for home renovations from 1 365 for 62 days Assume each day is of a yea

coefficients are found as shown below Pearson s 0 549 Spearman s 0 989 Which coefficient would be more appropriate to apply in this analysis 1 2 3 Both Neither Spearman s

Ellen invests 2500 into her daughter s college fund account when she is born The account has an interest rate of 11 2 and is compounded continuously How much money will be in the account when Ellen s daughter turns 19 Write the value of each variable if the value is unknown write a A P r 11

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Solve 18x 11 10 2 A x 2 or x 1 B x 1 or x 2 C X 3 2 or x 1 2 D x 1 2 or x 3 2

H1507 M N Assignment irses SCAMATUIE07 M

23 Nectar foraging by bumblebees Suppose that instead of the specific nectar function in Example 2 we have an arbitrary function N with N 0 0 N t 0 N t 0 N t 0 and arbitrary travel time T a Interpret the conditions on the function N b Show that the optimal foraging time t satisfies the equation N t N t t T

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Your answer is incorrect Mr Clark is about to give one of his students a piece of candy for asking a good question in class He s going to choose the piece of candy at random out of a bag he brings to class The following pieces of candy are in the bag 10 apple gumballs 6 grape gumballs 14 apple suckers and 11 grape suckers What is the probability that the piece of candy Mr Clark chooses is grape or is a gumball Do not round intermediate computations and round your answer to the nearest hundredth

Find ALL the zeros of the polynomial by first finding the possible rational zeros p q and then using synthetic division to find at least 1 zero 4 Q 9 3 Hart 2 1 C AD

to find P 3 for P x x 4 4x 3 3x 6 and the remainder for the associated division and the va

Consider the following function f x x Find f x Find f 2 f 2 Find the equation of the tangent line to the graph of the given function at the point with the indicated x co f x x x 2 y poradeny Assignment Responses last dep 31011908 Sketch the curve together with the appropriate tangent line y 10 5 20 10 10 20 5 X 10 10 O WebAssign Plot 5 20 y 10 10 20 5

FOR ALLA Suppose that you toss a coin and roll a die The sample spa EXE 1 020

2 Points DETAILS SMITHNM13 13 1 026 A single card is selected from an ordinary deck of cards The samp OFERTE Hearts red cards

Espa ol At a factory that produces pistons for cars Machine 1 produced 413 satisfactory pistons and 177 unsatisfactory pistons today Machine 2 produced 560 satisfactory pistons and 140 unsatisfactory pistons today Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today s batch What is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory Do not round your answer Aa K

K Use the formula of 9 years if a p is compounded

10 points Let R be the region bounded by the curves y 2x 1 and y 9 2x Find the area A of the surface generated by rotating the region R about the line y 3

Espa ol Of the people who fished at Clearwater Park today 42 had a fishing license and 28 did not Of the people who fished at Mountain View Park today 64 had a license and 16 did not No one fished at both parks Suppose that one fisher from each park is chosen at random What is the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license Do not round your answer Aa K

A university class has 20 students 10 are accounting majors 3 are business majors and 7 are nursing majors Each student has only one of these majors The professor is planning to select two of the students for a demonstration The first student will be selected at random and then the second student will be selected at random from the remaining students What is the probability that two nursing majors will be selected Do not round your intermediate computations Round your final answer to three decimal places Espa ol Aa

Graph the set x x 1 on the number line Then write the set using interval notation 7 6 5 4 3

David Perez Trigonometric Functions Question 7 Which function produces the graph below he D f x cos x 1

Select one 60 De Select the choice that when evaluated will be in order of greatest to least 19 O O cos 2 cos COS 7 cos 37 cos 437 cos 27 6 COS 7 cos 3 cos 4 COS 6 2 3 COS 7 cos 47 cos 37 cos 27 2 4 cos 27 cos 3 7 Cos 37 OS

Trigonometric Functions Question 2 What is the amplitude of this functio ect one 3

olve for a Round to the nearest tenth if necessary 3 7 61 S x T

Top managers of Maine Flooring are alarmed by their operating losses They are analysis to help make this decision Click the icon to view the analysis Total fixed costs will not change if the company stops selling laminate flooring Read the requirements Requirement 1 Prepare an incremental analysis to show whether Maine Floorin operating income Explain Enter a 0 in an input field if there is no expected ch Incremental Analysis for Discontinuation Decision Contribution margin lost if laminate flooring product line is dropped Less Fixed cost savings if laminate flooring product line is dropped Operating income lost if laminate flooring is dropped

2 A homeowner has 80 feet of fencing materials to enclose a rectangular region What dins sions for the garden to give the maximum arca

Consider the function f x 5 x 4 x 2x 8 a To use a limit and find its horizontal asymptote what must be done first b Find the horizontal asymptote as x co using your limit

2 a Rita has a box of candies and will randomly choose one piece The odds against choosing a lemon flavored piece are What is the probability of choosing a lemon flavored piece 0 X 5 b Tom is playing a board game He must roll dice to determine if he gets an extra turn The probability of getting an extra turn is Find the odds in 18 favor of getting an extra turn 7 7 to Espai HA EN A D

a Ali is playing a role playing game with his friends He will roll dice to determine if his character casts a spell The odds in favor of his character casting 7 a spell are Find the probability of his character casting a spell 8 0 8 X 3 b A child has a box full of colored building blocks If he chooses one block without looking the probability of choosing a green block is What are the 5 odds against choosing a green block to D Espa 9 E

NESPIC QUILLASUODOLL ework afka Inc imports hard drives and sells How many hard drives must be sold for

k he the equation for the graph shown to the www ation of the line is our answer in slope intercept form Use int ation

ct the correct choice below and if nece A The slope is Type an integer or a simplified frac B The slope is undefined

termine the slope of the 4 3 and 7 9 Select the correct choice below and if ne OA The slope is Simplify your answer B The slope is undefined

David is playing a carnival game He is blindfolded while he throws a dart at a board of 12 balloons as shown below Each balloon is labeled S for small M for medium L for large or XL for extra large The board has 9 small balloons 1 medium balloon 1 large balloon and 1 extra large balloon He hits one of the balloons at random and wins a stuffed animal of that size S S XL S OOO M a Find the odds in favor of David winning a small stuffed animal 0 b Find the odds against David winning a small stuffed animal 0 olo to

Jenny is at the grand opening celebration of a supermarket She spins a wheel with 10 equal sized slices as shown below The wheel has 8 black slices 1 grey slice and 1 white slice When the wheel is spun the arrow stops on a slice at random If the arrow stops on the border of two slices the wheel is spun again a If the arrow stops on a grey slice then Jenny wins a gift card Find the odds against Jenny winning a gift card 1 b If the arrow stops on a grey slice then Jenny wins a gift card Find the odds in favor of Jenny winning a gift card olo X 0 0 to

Drag the correct grabach equation into the space next to that equation to show how the output y values change with changes in the input values a 7 7 2 1 7 l Relationship Linear Quadratic Exponential Equation y x 3 y 3x Y 3 Graph CLEAR DRAG AND DROP AN ITEM HERE DRAGAND DROP AV DEN HERE

For the set of points 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 OB logarithmic function OC exponential function OD linear function