Functions Questions and Answers

acide if the given statement is true or false If it is false give the reason Wizard E Wizard Gamestation Funsole hoose the correct answer below A This statement is false The element Wizard is not an element of the second set OB This statement is false The set Wizard is not an element of the second set OC This statement is true D This statement is false The element Wizard is not in braces and thus cannot be a subset of the OE This statement is false The element Wizard is not equal to the second set

given 7 8 9 C 9 7 8 ement is true or false If it is false give the reason Choose the correct answer below SCC OA This statement is true OB This statement is false The second set is a proper subset of the first set not the other way OC This statement is false The second set does not contain all the elements present in the fir OD This statement is false The elements of the two sets are not in the same order OE This statement is false No set is a proper subset of itself

motorboat yacht C yacht tug boat motorboat canoe Choose the correct answer below OA This statement is false The two sets are equal OB This statement is false Motorboat is not an element of the second set OC This statement is true OD This statement is false The second set is a proper subset of the first se OE This statement is false Yacht is not an element of the second set

Decide if the given statement is true or false If it is false give the reason book C book crossword book poster Choose the correct answer below OA This statement is false The second set is a proper subset of the first set B This statement is true C This statement is false The two sets are equal OD This statement is false The element book is not an element of the second

The number of distinct proper subsets of a set with n elements is

Click here to watch the video Solve the system by the method of your choice x 9y 8 2x 18y 16 Select the correct choice below and if necessary fill in the answer box to complete your choice OA There is exactly one solution The solution set is Simplify your answer Type an OB There are infinitely many solutions The solution set is x y x 9y 8 or x y 2x OC The solution set is

A pyramid has a base measure of 7 inches by 21 inches If the surface area is 426 inches squared what is the approximate slant height O9 inches O 12 8 inches O 10 inches 10 6 inches

Find the volume and surface area of the square base pyramid Volume 10 in 8 in The height of the pyramid is 9in Round your answers to the first decimal place if needed Surface Area 8 in

When graphing the polar equation r 3 cos 20 as moves from to the radius changes from 0 to graph is in quadrant and the

Your odometer reads 1 820 miles total for your road trip to the Grand Canyon but your tires are larger than factory installed tires The circumference of the factory installed tires should be 92 inches but your current tires are 96 inches How far have you actually traveled Show your work nearest hundredth For the toolbar press ALT F10 PC or ALT FN F10 Mac 73 X S a EEEE X X STT T ROC

Calculate the measure of each angle a the complement of an angle whose measure is 23 b the supplement of an angle whose measure is 79 c the third angle in a triangle whose other angles measure 35 and 66 d the reflex angle around a right angle 2 Determine the measure of each angle Explain your thinking a p b q c r d s e t f u g v 67 78 u q 58

The superintendent wants to study the effects of phone distractions on math test scores In five math classes students were instructed to keep their phones face up on their desk while taking a math test In five other math classes student were instructed to keep their phones in their backpacks while taking the same math test After the tests the superintendent compared the scores Control Group Experimental Group Treatment Variable of Study QUESTION 33 A car insurance company divides their drivers by age The company then selects a few drivers from each age group to answer questions about speed limits What type of sampling method is this Cluster Sampling O Convenience Sampling O Stratified Random Sampling Systematic Sampling QUESTION 34 facturer is testing a new type of synthetic car oil with engine enhancers Their goal is to improve engine performance Two hundred cars that regularly use synthetic oil are placed into two different groups The first group will receive a cond group will receive the synthetic oil with the new engine enhancers Over the course of two years the manufacturer completes testing on the engine efficiency

A company makes bricks The bricks are 6 inches long 4 inches wide and 3 inches tall If the company wants to make 400 bricks how much concrete will they need O 28800 cubic inches of concrete O 25400 cubic inches of concrete 15900 cubic inches of concrete 36000 cubic inches of concreta

The surface area of a cube is 270 inches squared What is the length of the side O 4 9 inch O 7 4 inch O 5 3 inch O 6 7 inch

1 point Let P x be the predicate Determine whether the following expressions are true or false P 1 OA True OB False OC Not enough information P 2 OA False B True OC Not enough information P 2 OA False OB True OC Not enough information P 3 OA True OB False OC Not enough information

determine the interval for the principal cycle for y tan 2x pi

Solve log4 x log x 6 2 for x Select all that apply 0 x 8 x 2 0 x 2 0 x 8

Find a function that models the simple harmonic motion having the given properties Assume that the displacement is zero at time 2 0 amplitude 16 cm period 3 s y Need Help Read It Submit Answer Sava Progress Show Transcribed Text Watch It Talk to a Tutor Practice Another Version O

This is the graph of function f x x 2 2x 1 What is the graph of g x 2x 2 4x 2

Determine if the graph is a function Is the inverse a function 5 3 3 2 1 G 2 7 2 3 X

If A and B are mutually exclusive P A 0 2 and P B 0 then P A B 01 0 00 2 O 0 8

The time it takes for seed of a certain variety to germinate is normally distributed with a mean of 120 hours and a standard deviation of 20 hours A random sample of 16 seeds is taken What is the probability that the average time for germination for 16 seeds exceeds 115 80 hours 0 2005 0 7995 0 4168 0 5832

Suppose X is normally distributed and p X 10 0 8 From this we can conclude that mean of X is greater than 10 less than 10 O equal to 10 O equal to 0 8 equal to 8

Suppose random variable Xhas normal distribution with mean 10 and standard deviation 2 Then the probability that X takes values smaller than 2 0 is 0 01 0 0228

A box has 4 red marbles 1 black marble and 5 green marbles How many red marbles do you expect when 20 marbles are drawn from this box with replacement 1 8

A gym charges a one time fee of 60 to join and membership dues of 25 per month Part A Complete the table to show how the total cost in dollars and the number of months of gym membership are related Drag numbers to complete the table Numbers may be used once or not at all 505 260 m 3 205 8 200 76 865 10 135

6 The graph shows how much Melinda is paid for each hour she babysits Melinda s Babysitting Pay dollars 54 48 42 36 30 24 18 12 6 0 1 2 Hours Which equation best describes the relationship shown in the graph Ay 6x B y 12z Cz 6y D z 12y

c Determine the equation of the inverse of y log3 x d Express 625 5 in logarithmic form

a What is the domain of y log x b State the x intercept for y logs x 4

6 State the equation of the inverse y log3 x 1 2 A 2 T1 marks

4 Write log4 3 3 log42 log4 6 2 log4 3 as a single logarithm K 3 marks

Graph the following piecewise function 15 3x 2x2 x 2 10 x 0 0 x 1 1 x 5 15 10 5 5 5 10 15

2 Complete the table y 3x 2 X 1 2 4 y 1 7

Because P E P not E 1 then P not E Because P E P not E 1 then P not E and P E and P E 1 P not E

A B O 190 O 75 O 100 70 O215 D Find the indicated arc 85 E C

O 30 O 70 Find the indicated angle O 90 110 55 L K

3x 10 A Arc AB 3x 10 Arc CB x 70 Solve for x X X 70

4x15 Arc AC 4x 5 Arc BC 2x 21 What is the length of arc AC AC 2x al

Selve For X 9x 3 197 O x 15 O x 6 x 12 X 9 124

Use the vertex and intercepts to sket identify the function s range f x x 2 4x 3

4 Find the scale factor AAXBACXD What is the scale factor of AAXB to ACXD X O 2 3 3 2 4 3 3 4 12 D BURT BELGE

4 5 pts Openstax 6 9 426 A chain hangs from two posts four meters apart to form a catenary described by the equation y 4 cosh 3 Determine the total length of the catenary arc length

The population of a country is about 1 34 billion people Assume that the population of the country continues to grow exponentially at the growth rate of 0 6 per year Thus the Determine the expected population of the country after 4 0 006t expected population of the country in billions of people t years after this year is given by the function P t 1 34e years The population of the country after 4 years is Round to the nearest thousandth as needed billion people

Research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impurity in the fuse increases The probability is modeled by the function y 7 257933 where x is the impurity concentration and y given as a percent is the probability of the fuse malfunctioning Find the probability of the fuse malfunctioning for an impurity concentration of 0 16 Round to the nearest percent OA 7 B 29 C 35 D 51

Kafka Inc imports hard drives and sells them on the internet The profit is given by the equation P 136n 7 000 where n is the number of hard drives sold Graph P 136n 7 000 for n 1000 How many hard drives must be sold for the company to break even Round your answer to the units place in other words to the nearest number of hard drives OA 51 hard drives B 49 hard drives OC 55 hard drives OD 71 hard drives

Suppose the marginal propensity to consume in an economy is 0 9 What would be the Keynesian multiplier in this economy Express your answer as a whole number no fractions or decimals

a What is the relationship between the graph of a relation and the graph of the inverse 1 C b Assume f x 2x 1 2 x 3 Find the following i f x ii Domain of f x iii Domain of f x iv Range of f x v Range of f x vi Sketch of f x vii Sketch of f x 2 T 1 T 1 T 1 T 1 T 1 T

Asume the transformed function g x is obtained from f x 1 after a vertical stretch by a factor of 3 a X reflection in the y axis a horizontal compression by a factor of 1 1 3 a translation right 1 units and a 5 translation down 2 units a Find a b h k b Find g x 2 T 2 KU

A ride share company charges 5 for a ride less than 10 minutes 15 dollars for between 10 and 20 minutes inclusive and 20 for more than 20 minutes but less than or equal to 30 minutes The service also includes a flat fee of 15 Let C t be the cost of a ride lasting t minutes a What is the domain of C t b What is the range of C t c Write a formula for C t d Draw a graph of C t 2 A 2 A 3 A 3 A

Given f x 2x 5 and g x 2x 3x find the following and simplify completely a f 1 b g 3 c 2f 1 g 2 d f g 1 1 KU 1 KU 1 T 2 T