Functions Questions and Answers

a b OPPOSITE SIDE ADJACENT SIDE OPPOSITE SIDE HYPOTENUSE 3 C OPPOSITE SIDE ADJACENT SIDE OPPOSITE SIDE HYPOTENUSE B 7 X B

Use a right triangle to write the following expression as an algebraic expression Assume that x is positive and in the domain of the given inverse trigonometric function cos sin 6 X Simplify your onewor including any rodicals Uco intogors or fractions for any numbers in the expression Rationalize cos sin X 1

Find the exact value of the following expression 2 2 sin Select the correct choice below and if necessary fill in the answer box to complete your choice O A 2 2 Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbe in the expression B The function is not defined sin

During the exponential phase the E Coli bacteria in a culture increase at a rate proportional to the current population The growth rate is found to be 1 9 per minute and the current number of E Coli present is 172 How many E Coli will be present in 8 5 minutes Round your answer to the nearest O 203 5 bacteria O 754 5 bacteria O 1465248 9 bacteria 201 8 bacteria

George invests a sum of money into a savings account with a fixed annual interest rate of 5 5 and compound 6 times a year After 7 years the account has a balance of 3 820 What is the initial investment O 2603 88 O 5604 10 O 7082 77

Find the reference angle for the angle ww

Find the exact value of the given trigonometric function Do not use a calculator 14 tan

Find a positive angle less than 2 that is coterminal with the given angle 32 5

X y f x g x Use exponential regression to find an exponential function that best fits this data 546 579 613 647 690 Use linear regression to find an linear function that best fits this data 699 Of these two which equation best fits the data Exponential O Linear

Prove Theorem 6 2 part 4 p is an from G to G bar If K is a isomorphism subgroup subgroup of G then p K p k k K is a of G bar

Use the Factor Theorem to determine whether x 1 is a factor of P x x 4x x 19 Specifically evaluate P at the proper value and then determine whether x 1 is a factor P 0 O x 1 is a factor of P x O x 1 is not a factor of P x

r form 2 1 0 1 2 uilder form Choose one xx is an integer and x 3 builder form xx is an integer and x 3 er form xx is an integer and 4 x 4 xx is an integer and 3 x 3 er form 2 1 0 1 2 builder form Choose one builder form yly is an integer and y 2 0 X er form in the indicated form use to indicate a pattern make sure to list at least four elements of the 500 00

triangle XYZ is reflected over the y axis what are 64 O 2 A 4 1 6 B 4 1 4 2 OZ 2 4 6 Y X 6

Each Venn diagram has sets A C and the universal set a Shade C U A C

The construction crew for a new house will dig a hole in th 48 ft long 39 ft wide and 9 ft deep To haul away all of t knows the amount of dirt the truck can hold each trip in d a Find the volume of dirt that will be hauled away i of conversion facts as needed Dyd

A car dealership increased th Fill in the blank to wr

Given the equation x 2 y 2 6x 10y z 25 0 express it in standard form trace it graph it and indicate the type of figure it forms

f x 2 x shift 2 units right shift 4 units down

Select one 1 19 Transformations of Functions Question 9 Which of the following transformations will reflecting it across the x axis and dilating it wider than the original 1 4g x 19 49 x O 4g x

a De No calculator allowed David Pe Select one 1 with Transformations of Functions Which describes how the gr from the graph of g x x The graph of f x is transla g x The graph of f x is more r O The graph of f x is transla

or allowed David Perez ormations of Functions Question 5 raph below shows the parent quadratic function in blue and the transformed function g x in red mine how f x is transformed to g x

Deg Select one Transformations of Functions Question 1 Which of the following transformations will translate f x 3 units to the right and 1 unit down 9 O f x 3 1 f x 3 1 a 9 O O O f x 1 3 f x 1 3

Dashboard Harmony X ssons assessmentplayer e Manage School Atten General Mat

A scientist is conducting an experiment with the bacteria E coli in the begining of the experiment there are 15 E coli The E coli grow at a rate of 26 per hour At the end of the experiment there are 7693 E coli bacteria How long did the experiment last O 27 hours O 30 hours 30 days O 27 days

1 cup 8 fluid Ounces Does that mean it takes 24 fluid ounces of Yes because water is liquid Yes because 3 x 8 24 fill any 3 plastic cups 10 No because not every drinking cup has a volume of 1 cup No because the cups are made of plastic

Joe filled a 10 cup watering can with water He then poured some of the water on his tomato plants How can Joe find out how much water he used for his tomato plants a tape measure to find the height of the water left in the can and then subtract the number of inches from 10 se a scale to weigh the water left in the can and then subtract the number of pounds from 10 Use a measuring cup to find the amount of water left in the can and then subtract the number of cups from 10

drant in which the angle 8 lies 0 tan 9 0 DETAILS drant in which the angle lies

y Bookmarks Window IA Outlook D Help Homepage N Homepage diuc r cubtended by t

3 If the period of a sinusoidal function is equal to 18 which of the following gives its frequency 1 69 2 18 T 18 4 6T 3 4 It is known for that a particular sine curve repeats its fundamental pattern after every units along the x axis Which of the following is the frequency of this curve 7 1 1 1 2 7 3 4 14 2 7 COMMON CORE ALGEBRA II UNIT 11 THE CIRCULAR FUNCTIONA

A football is thrown by a quarterback to a receiver The points in the figure show the height of the football in feet above the ground in terms of its distance in yards from the quarterback Use this information to solve the problem Football s Height Above the Ground feet 14 12 10 8 6 14 2 0 VA AA QB C 03 0 IB REC 6 12 18 24 30 36 42 48 54 60 Distance of the Football from the Quarterback yards U CHWERTI Find the coordinates of point B 42 7 Type an ordered pair Type integers or decimals rounded to the nearest tenth as needed Interpret the coordinates When the ball has traveled a distance of it is at a height of Type integers or decimals rounded to the nearest tenth as needed PITT

Plot the given point in a rectangular coordinate system 0 0 10884 10 B 6 B 46 A ix O

K Graph the equation Let x 3 2 1 0 1 2 and 3 y 5 Choose the correct graph below OA OB 4 O C O D

8 Simplify the following expression 14x y 49x y 2 A OA B D OE B C 2x y 2x2 98x 2 D 2x E 2x

Exercise 7 2 6 Chebyshev s equation of order p a Solve 1 x y xy p y 0 using power series methods at xo b For what p is there a polynomial solution

A runner jogs 7 mi east then 3 mi south What is the bearing from his starting point Round to the nearest tenth of a degree The bearing from the runner s starting point is O BREE 6

A Describe the pictures by answering the questions Como est o tempo and Qual a esta o a b O Tempo C d B In sentences describe weather conditions that fit the seasons 1 Inverno 2 Ver o 3 Primavera 4 Outono C Describe the weather based on the temperature readings 1 28 graus 2 95 graus 3 73 graus B

Open the file Online Classesby Education Level xls which contains data on the number of undergraduate and graduate students taking online classes in the United States in 2007 a Make a single graph to answer this question In 2007 what percentage of students taking online classes were undergraduate students and what percentage of students taking online classes were graduate students Paste you graph into your word document 2 points b Make a single graph to answer this question In 2007 what percentage of undergraduate students took at least one online class and what percentage of graduate students took at least one online class Paste your graph into your word document 2 points

Price Dollars per piece 1 PRICE Dollars per piece 2 C 3 4 5 Sean s Quantity Supplied Yvette s Quantity Supplied Pieces Pieces 0 15 15 25 30 35 30 40 50 On the following graph plot Sean s supply of pieces of cake using the green points triangle symbol Next plot Yvette s supp the purple points diamond symbol Finally plot the market supply of pieces of cake using the orange points square symbol Note Line segments will automatically connect the points Remember to plot from left to right 55 Sean s Supply Yvette s Supply 0 Market Supply

e 2 A tunnel entrance is built in the shape of one half of a sinusoidal curve whose base is 28 feet and whose maximum height is 20 feet A B Determine the function that would describe the height of the tunnel for any point along the base of the tunnel 5 pts Assuming that a delivery truck is 8 5 feet wide wants at least a 1 foot clearance for the top of the truck in case the truck is not perfectly centered on the highway determine the maximum allowable height of

each given binomial a factor of the given polynor actors polynomial P x 4x 4 9x 3 7x 2 2x 25 binomial x 2

Verify that the vector X is a solution of the given homogeneous system 1 3 3 For X 133 4 one has X 0X Since the above expressions X Select 133 X 13 133 3 is a solution of the given syste

Arrange operators from the lower to the highest order of precedence v Conjunction or Disjunction V Negation

Sims Company began operations on January 1 Its cost and sales information for this year follow Direct materials Direct labor Variable overhead Fixed overhead Units sold 30 Sales price 50 20 Variable selling and administrative expenses 11 Fixed selling and administrative expenses 4 250 000 Units produced 110 000 8 800 000 per year per unit 80 000 360 per unit Required 1 Required 2 Prepare an income statement for the year using variable costing per unit SIMS COMPANY Income Statement Variable Costing per unit Prepare an income statement for the year using absorption costing SIMS COMPANY Income Statement Absorption Costing per year units 1 Prepare an income statement for the year using variable costing Prepare an come statement for the year using absorption costing units Complete this question by entering your answers in the tabs below per unit 0 0

ZA 6 2 Modeling Tax Schedules 7 Let y represent the tax and x represent the taxable in come of a head of household taxpayer Use a past year s worksheet below to write four equations in y mx b form for the values of x that are greater than or equal to 100 000 val among event is visdrevac Section D Use if your filling status is Head of household Complete the row below that applies to you Tax Subtract d from c Enter the result here and on Form 1040 line 44 Taxable income If line 43 Is At least 100 000 but not over 129 600 Over 129 600 but not over 209 850 Over 209 850 but not over 411 500 Over 411 500 but not over 439 000 Over 413 200 a Enter the amount from line 43 a b C b Multiplication amount x 25 0 25 x 28 0 28 x 33 0 33 x 35 0 35 x 39 6 0 396 c Multiply a by b S d Subtraction amount 5 677 50 9 565 50 20 058 00 28 288 00 48 482 00 S

Select one 12 12 12 Wave Basics Question 8 A sound wave travels through air at 344 m s If the wave has wavelength of 0 8 meters what is the sound wave s period 12 O 275 s O 0 0036 s O 430 s O 0 0023 s

Find the area of the figure A 2 m 6m 7m 3 m

What will it cost to carpet a rectangular floor measuring 9 feet by 30 feet if the carpet costs 23 35 per square yard It will cost

Express these system specifications to logical form and then determine if the system specifications are consistent The user has paid the subscription fee but does not enter a valid password Access is granted whenever the user has paid the subscription fee and enters a valid password Access is denied if the user has not paid the subscription fee If the user has not entered a valid password but has paid the subscription fee then access is granted Show your work on paper digitize it

Let p and q be the propositions p The election is decided q The votes have been counted Express in words the following compound propositions a p vq b q p Time u

Let p and q be the propositions p It is sunny q It is hot Which of the following is a symbolic form of the proposition It s hot but not sunny Op q O qv p Oqhp O q p