Functions Questions and Answers

Adjustment for accrued revenues At the end of the current year 14 290 of fees have been earned but have not been billed to clients Journalize the adjusting entry to record the accrued fees If an amount box does not require an entry leave it blank Accounts Receivable Fees Earned 8 8

Question 8 5 pts Write the equation for the stated transformation on the following function Translated down seven units f x x 3

Find the inverse of the following function f x 3x 5

The size of the civilian labor force in millions for selected years from 1950 and projected to 2050 can be modeled by y 0 0001x 0 0058x 1 43x 56 7 where the number of years after 1950 a What does this model project the civilian labor force to be in 2016 b In what year does the model project the civilian labor force to be 154 million a In 2016 the model projects the civilian labor force to be million Type an integer or decimal rounded to one decimal place as needed b The model projects the civilian labor force to be 154 million in

A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach using 2400 yd of rope and floats What dimensions of the rectangle will maximize the area What is the maximum area Note that the shoreline is one side of the rectangle Let x be the length of a side of the rectangle perpendicular to the shoreline Write the objective function for the area in terms of x A x x 2400 2x Type an expression using x as the variable The length of the shorter side of the rectangular region is The length of the longer side of the rectangular region is ya

onvert the temperature as indicated Round your answer to hundredths if appropriate 13 90 F into Celsius A 32 22 C C 58 00 C 14 20 C into Fahrenheit A 4 F 15 10 C into Fahrenheit A 22 F B 104 40 C B 52 F B 26 1 F C 68 F C 50 F D 50 00 C D 43 1 F D 14 F 13 14 15

arry out the indicated unit conversion Round your answer if appropriate 1 A car is driving at 180 miles per hour What is its speed in miles per minute A 3 miles per minute C 648 000 miles per minute 2 Convert a distance of 54 feet into yards A 162 yards B 21 yards B 240 miles per minute D 10 800 miles per minute C 18 yards D 36 yards 3 Use a chain of conversions with familiar measures of time to convert 8 weeks into seconds A 691 200 seconds B 4 838 400 seconds D 201 600 seconds C 80 640 seconds 2 3

0 25 Points DETAILS SCALCET9 3 7 033 uppose that the cost in dollars for a company to produce x pairs of a new line of jeans is C x 3 500 4x 0 02x 0 0002x a Find the marginal cost function C x Find C 90 What does it predict O It predicts the approximate cost of the 90th pair O It predicts the approximate cost of the 91st pair O It predicts the cost difference between the 90th and 91st pair O It predicts the tax of the 90th pair O It predicts the cost of 3 500 pairs Find the actual cost of manufacturing the 91st pair of jeans Round your answer to two decimal pla

Convert the credit card rate to the APR Oregon 1 per month 11

Consider the total amount that must be repaid on the following note described 8 523 borrowed at 15 5 simple interest for 3 years 125 days Give the future value of simple interest formula where A is the future value in dollars P is the present value in dollars r is the annual interest rate as a decimal and it is the time in yea A Determine the following values for the note For t first enter the total number of full years then enter the remaining days as a fraction of a 360 day year P r t 360 What is the total amount to be repaid Round your answer to the nearest cent

Let a Compute det 4 b Use Cramer s rule to solve the following system 1 x2 23 A 1 5 4 25 5 25 5 0 5x2 X3 21 41 25x2 5 3 5x1 25x2 4 5 4

The answer above is NOT correct 1 1 4 0 1 0 0 0 1 A Enter a 3 x 3 skew symmetric matrix A that has entries a12 1 a13 4 and a23 0 1 1 4 0 1 0 0 0 1

Write as a percent If necessary round to the nearest tenth of a percent 17 4 I X Enter a number orial Learn It Write a decimal or a fraction as a percent

g 100 1 9 1 0 X 5 6 87 4 2 0 X 9 5 3 3 C 00 100

If then A Given b x A 1 5 solve Az b 1 1 6 A 4 5 23 1 1 5

Find coordinates of the vertex for the quadratic function 2 x x a The x coordinate of the vertex is 8x 3 integer or a simplified fraction

Find the real zeros of the function 2x 2 2 8 2x 2 15 x 1 12 x x x 25 x 1 2

Suppose that f x x 3 and g x x 11 a Solve f x 0 b Solve g x 0 c Solve f x g x a x 3 b x 11 c x 4 a x 3 b x 11 c x 7 a x 3 b x 11 c x 4 a x 3 b x 11 c x 4

Factor the following quadratic Click the square near each correct factor de sore te mark ALL correct answers f x 3x x 1 O x 1 3x 8 3x 8 5x 8

The diameter of a circular park is 52 yd Answer the parts below If necessary refer to the list of geometry formulas a Find the exact area and circumference of the park Write your answers in terms of T Make sure to use the correct units in your answers 0 Exact area OTT 0 Exact circumference button b Approximate the area and circumference of the park To do the approximations use the on the ALEKS calculator and round your answers to the nearest hundredth Make sure to use the correct units in your answers Approximate area 0 Approximate circumference c A rope will be placed around the park Which measure would be used in finding the amount of rope needed O Circumference O Area d The park will be covered by artificial turf Which measure would be used in finding the amount of turf needed 52 yd Area 010 yd X J yd

A town is forming a committee to investigate ways to improve public safety in the town The committee will consist of three representatives from the eight member town council two members of a six person citizens advisory board and four of the 10 police officers on the force How many ways can that committee be formed That committee can be formed in ways

5 1 pt If possible find an IRRATIONAL number that is between 3 23 and 3 232232223 If not possible just say so Show work as needed

Imagine that you are designing a taggant a microscopic particle or molecular solution that can be inserted into a product to identify it as authentic that will be in the form of a cube with 12 layered colors The bottom 3 layers will be selected without repetition from the primary colors blue yellow red and the top 3 layers will be selected without repetition from the secondary colors green purple orange The 6 middle layers will be selected without repetition from the six tertiary colors How many different taggant designs are possible There are possible taggant designs Type a whole number

A circle is divided into five equal sections Three of the sections are shaded Write a percent to represent the amount of the circle that is not shaded

f 1 2i 1 21 2 1 2i 3 1 2i 4 5i 4 Q1 Find f 1 2i for f z z 2z 32 4 5i and write the final answer in rectangular form You may use the calculator 15pts f 1 2 2 3 i 4 f 21 3 3 606 0 4 43

Q6 Compute the complex limits 24 1 a lim z iz i b lim z i z 1 z i

A surveyor took 5 total measurements between points A and C The measured horizontal distances were 179 20 179 18 179 23 179 21 179 17 Calculate the mean of the horizontal distance measurements 179 20 197 20 179 22

25 Points DETAILS SCALCET8 3 8 501 XP A common inhabitant of human intestines is the bacterium Escherichia coli A cell of this bacterium in a nutrient broth medium divides into two cells every 20 minutes The initial population of a is 58 cells a Find the relative growth rate Assume t is measured in hours k b Find an expression for the number of cells after t hours P t c Find the number of cells after 8 hours cells d Find the rate of growth after 8 hours Round your answer to three decimal places billion cells per hour e When will the population reach 20 000 cells Round your answer to two decimal places MY NOTES PRACTICE ANC

d 8 x 3x 12 e x 4

Write the equation of the line in slope intercept form y mx b 8 6 5 4 3 2 1 8 7 6 5 4 3 2 1 1 2 3 5 6 7 8 2 3 4 5 66 7 8 Question Help Message instructor Post to forum

10 6 10 8 6 4 2 4 2 2 4 6 8 10 4 16 8 10 a Write an equation for the graph where y depends on

7 6 5 4 3 2 1 Equation 74 9 6 5 3 1 T 2 3 4 S 6 1 W 3 4 5 6 7 fortructor rum

y mx b y Question Help Message instructor Post to forum Submit Question Question 13 0 1 pt2 98 Details Find the equation in terms of x of the line through the points 5 2 and 3 1

Graph the line y 2x 1 5 4 3 2 1 5 3 2 1 1 2 3 4 1 2 3 4

Graph the equation y 5 4 3 2 Clear All Draw 1 7 4 3 2 1 2 3 2 3 4 5 2 2 Z 2 3 4 5

4 Determine the value of dy dx for y x x 1 when x 1 4

21 A closed box with a square base is to have a volume of 2400 cubic inches The material for the top and the bottom of the box is to cost 4 per square inch and the material for the sides is to cost 3 per square inch Express the total cost of the material as a function of the length x of the base 6 Use the function and your calculator to find the dimensions of the box such that the total 3 cost of the material is least Be sure to give the equation that you graphed and window values you used Round your answer to the nearest tenth

Select all possible schedules that would allow the salesperson to meet with each doctor 000 A Dr Miller Mon at 11 00 Dr Lee Mon at 10 00 Dr Lopez Mon at 11 00 B Dr Miller Mon at 11 00 Dr Lee Mon at 11 00 Dr Lopez Wed at 11 00 C Dr Miller Wed at 11 00 Dr Lee Mon at 10 00 Dr Lopez Thu at 11 00 D Dr Miller Thu at 11 00 Dr Lee Mon at 11 00 Dr Lopez Wed at 11 00 E Dr Miller Thu at 11 00 Dr Lee Mon at 11 00 Dr Lopez Mon at 11 00 F Dr Miller Mon at 11 00 Dr Lee Mon at 10 00 Dr Lopez Wed at 11 00 G Dr Miller Wed at 11 00 Dr Lee Mon at 10 00 Dr Lopez Mon at 11 00 Dr Miller Mon at 11 00 Dr Lee Mon at 11 00 Dr Lopez Mon at 11 00 H Dr Miller Wed at 11 00 Dr Lee Mon at 11 00 Dr Lopez Thu at 11 00 J Dr Miller Thu at 11 00 Dr Lee Mon at 10 00 Dr Lopez Mon at 11 00 K Dr Miller Mon at 11 00 Dr Lee Mon at 10 00 Dr Lopez Thu at 11 00 L Dr Miller Wed at 11 00 Dr Lee Mon at 10 00 Dr Lopez Wed at 11 00 M Dr Miller Wed at 11 00 Dr Lee Mon at 11 00 Dr Lopez Wed at 11 00 N Dr Miller Mon at 11 00 Dr Lee Mon at 11 00 Dr Lopez Thu at 11 00 O Dr Miller Thu at 11 00 Dr Lee Mon at 10 00 Dr Lopez Wed at 11 00 P Dr Miller Thu at 11 00 Dr Lee Mon at 11 00 Dr Lopez Thu at 11 00 new line of antibiot CHIE Use a tree diagram determine all possible schedules that would allo

In preparation for Thanksgiving Day the Save You More Store has stacked cans of cherry pie filling in a triangular pyramid The top of the pyramid has a single can the second row has three cans and the third row has six cans The third row of the pyramid is shown on the right If the store has 940 cans of cherry pie filling and wishes to build the three largest triangular pyramids of equal height it can how many rows will the pyramids have and how many cans will be left over The pyramids will have Type whole numbers rows each and there will be cans left over

Two men and two women have bought tickets for four adjacent seats to see a musical In how many ways can the four people be seated if the women sit in the middle There are ways

3 1 point Evaluate AU 4 M W H 2 w U MT d 27

A random variable is characterized by an exponential probability density distribution PDF shown below What is the probability that x will have a value less than or equal to 1 0 Note PDF 0 for x 0 15 points P D F 3 5 3 2 5 2 1 5 1 0 5 Exponential Distribution PDF 4exp 4x 0 5 1 1 5 2

otherwise specified S 4 Find the delay between x t cos 10t 20 and x t sin 10t 10 5 points 5 Represent the following numbers in the complex plane and express them in Cartesian 10 points a 2ejn3 b b 4e 134 C c 2014 d d 2e j4x

Partially Correct Your answer is incorrect Suppose that the dollar value 1 of a certain car that is f years old is given by the following exponential function 1 24 500 0 92 Find the initial value of the car 24500 Does the function represent growth or decay growth O decay By what percent does the value of the car change each year

Mercedes is using periodic functions to model waves in the ocean A crest is considered a maximum and a trough is considered a minimum Values for y represent the vertical position in feet above or below the line of equilibrium midline and values for x represent the distance in feet from a fixed point W Troughs 1 Mercedes tries this technique to model waves she observes at sunrise The crests average 3 8 ft the troughs average 3 8 ft and the frequency is Write a function that could represent this situation Explain 20 Crests equilibrium

The one to one functions g and h are defined as follows g x 2x 3 h 8 5 7 4 4 8 3 0 Find the following g t 0 g g 1 0 h 8 3 X

7 The equation for f and the graph of g are given How do the period and the amplitude of the functions compare f x 2 cos x g x 21X MA 8 High fides at a beach occur at intervals of 12 hours 25 minutes Yesterday high tide was measured at 5 feet above sea level and low tide was measured at 1 foot above sea level A cosine function models the depth of the water in feet as a function of time in hours What is the amplitude of the cosine function Explain

Graph the logarithmic function g x log1 3x Plot two points on the graph of the function and also draw the asymptote Then click on the graph a function butto X

study is done on the population of a certain fish species in a lake Suppose that the population size P 1 after years is given by the following exponent unction P 1 400 0 81 Find the initial population size 1 Does the function represent growth or decay O growth O decay By what percent does the population size change each year

blem 3 Before kerosene can be used as jet fuel federal regulations require that the pollutants in it be removed by passing the kerosene through clay Suppose that the clay is in a pipe and that each foot of the pipe will remove 20 of the pollutants that enter it a If Po is the initial number of pollutant and P x represents the quantity of pollutants left after z feet pipe derive an expression for P x Poez and assume that Po 1 Hint Find r b Graph the function and use it to explain what will happen the amount of pollutant in kerosene if we continue to increase the length of the pipe c Given the initial pollutant is Po 1 how long does the pipe need to be to insure that 50 of the pollutants have been eliminated