Sequences & Series Questions and Answers

4 Rigid Transformations Question Triangle MNO has points M 6 1 N 3 7 and O 1 1 Triangle M N O has points M 6 1 N 3 7 O 1 1 What is the transformation of MNO to M N O Select one O Reflected about the x axis and then shifted to the right 12 O Reflected about the y axis and then reflected about the x axis O O Rotation of 270 degrees counterclockwise Reflected about the y axis and then translated up 2

9 Assuming x 0 which of these expressions is equivalent to 11 245x 9 45x A 5x 104x B 20 290x6 C 20x 290 x

The half life of phosphorus 32 is approximately 24 3 days Step 1 of 3 Determine a so that A 1 Aga describes the amount of phosphorus where Ao is the amount at time 0 Round to six decimal places AnswerHow to enter your answer opens in new win

Consider the following function Answer 2 Points k x Ay 6x 12 1 3 Step 1 of 3 Identify the general shape and direction of the graph of this functi 2 2 X if x 2 if x 2 Ay

AREA AREA RCUM Find the area and circumference of each circle CIRCUM A Circle with a Radius of 4 8 inches Watch 000 td 00000000 A Circle with a diameter of 16 cm AREA CIRCUM AREA CIRCUM D O S 14 9 yds A

the given vectors u 6i 3j 4k v 5i j k w 4i j 3k Select the correct choice below and fill in the answer box es within your choice OA The answer is a vector v uxw ai bj ck where a Type integers or simplified fractions B The answer is a scalar v uxw Type an integer or a simplified fraction b and c

Find the diameter given the se Round to the nearest hundredths place 45 A 0 39 km B Use 3 14 for pi

Let C be the circle x y 4 and let D be the circle x 1 y 1 Find the ima of the circle D under the inversion vc

Using the invNorm command on your calculator what 2 score would bound an area of 0 44 to the right e P x z 0 44 0 150 0 150 0 590 0 59 a Scores PP 44

For a standard normal distribution what is the mean and standard deviation Op D 0 0 Op D

a Find the vertex b Determine whether there is a maximum or a minimum value and find that value c Find the range d Find the intervals on which the function is increasing and the intervals on which the function is decreasing f x x 8x 2

The a list of last names of all of the students in the school would be considered what kind of data O Qualitative Quantitative Neither

lim 5x ax 4 bx 2x 7 0 894427 x48 Knowing that a b are integers what are a b b a

An arithmetic sequence is given below 22 16 10 4 th Write an explicit formula for the n term an a PL 0 8 0 8

Find the sum of the finite geometric series IM RES 2 3 1 6560 O13122 19682

ta raffle 500 tickets are sold at 1 each for three prizes of 100 50 10 Find the expected gain or loss for each participant

A company s mean salary is 65 000 with a standard deviation of 6 000 If a sample of 40 employees is taken determine the standard error 325 25 948 68 9328 71 none of these

Pedro observed what customers ordered at his ice cream shop and found the following probabilities P vanilla 0 3 P sundae 0 2 P vanilla and sundae 0 15 Find the probability that a customer ordered vanilla ice cream given they ordered a sundae P vanilla sundae

If you flip a coin and roll a 6 sided die what is the probability that you will flip a tails and roll a 2

Department Assume the following information for the Assembly Departm 20 minutes 132 000 per month 27 000 per month 24 per hour Direct labor per filing cabinet Supervisor salaries Depreciation Direct labor rate Prepare a flexible budget for 14 000 18 000 and 21 000 filing cabinets for the month 5 Round your final answers to the whole dollar if required Cabinaire Inc Assembly Department Budget For the Month Ending February 28 assumed data Units of production 14 000 18 000 21 000 Variable cost Direct labor Total variable cost Fixed cost Rent Depreciation Total fixed cost Total department costs

The popularity of a music group is normally distributed with a mean of 5 years 5 and a standard deviation of 2 years o 2 If 32 music groups were randomly selected n 32 find the probability that their years of popularity have a mean that lasts less than 4 years 0 0023 0 0046 0 0124 0 0256 344

B C x Right triangle ABC pictured above has legs that are 3 units in length Point C is the ordered pair 4 2 Find the coordinates of A and B A is at the coordinate Bis at the coordinate D Question Help eBook Written Example Message instructor Post to forum

Give the general solution for the following trigonometric equation cos a 0 02 sin x cos 2x 0 02 1 sin a 0 02 sin z x cos 2x 0 02 T a 0 7835 244 4270040008 x where k Z X sin z 0 49 x where k Z or sin a 0 7 0 7 or 0 x where k Z 44 4270040008 x where k Z

1 Three out of nine subspecies of tigers are extinct Complete the ta value in the paragraph above as a fraction decimal or percent Fraction mla Decimal Percent 95

a For the function f x find 4 1 2 and 1 7 b Sketch the graph of y f x a Find 4 2 and 1 7 1 4 Simplify your answer Type an integer or a fraction K 2 Simplify your answer Type an integer or a fraction 1 7 Simplify your answer Type an integer or a fraction b Choose the graph of f x OA OB 5 i x 2 f x xi 2 x 2 5 W x22 OF OD

Sequences 38 Tell whether the sequence is arithmetic or geometric then write the next three terms of the sequence a 4 12 36 108 2 4 8 12 16 20 Circle one Arithmetic or Geometric Circle one Arithmetic or Geometric Next three terms

y x 3 x 1 x intercepts 0 0 vertex y intercept 0 3 2 3 2 1 0 1 2 3 7 01 y x 31 1 vertex slope 2 3 4 5

3 Analyze the conic section That is find the center vertices focus foci directrix and asymptotes if applicable of the conic section Graph the equation a The parabola y 4y z 0 b The hyperbola 2 y 10r 16y 64 0 c The ellipse 9x y 1 2 81

2x 1 Given that h z x 4 Evaluate the followings Leave the answer in the simplest fraction or integer If the answer is undefined type DNE h 5 h 4 h 4

is die m mation we are working with The given information Suppose that 93 of all steroid users get a positive test result that the test yields a false positive result 5 of the time and that 66 of the football team members at GSU do not in fact use steroids Hugo Huge gets selected at random to be tested Take E The test gives a positive result F Hugo uses steroids QUIZ Now fill in the missing probabilities Start 0 34 0 66 F Check 0 93 0 07 0 05 0 95 Clear Help E E E E 0 3472 X

listed are the number of hurriaans Over a 14 year time span 8 9 8 7 9 15 5 6 8 4 12 7 8 2 mode median Range mean 5 variance O Standared devation dicoon 1441

Trangle BCA is right angled of C If c 27 and angle A 58 deg find angle B side b and side a Eepress your answer up to two deunal plave

ketch the graph of a continuous function f such that f 4 2 f 4 0 f x 0 for x 4 and f x 0 for x 4 hoose the correct graph below A 4 2 OB 4 C O C Q Ka 4 2 OD 4 2

A vegetable distributor knows that during the month of August the weights of its tomatoes are normally distributed with a mean of 0 61 lb and a standard deviation of 0 15 lb See Example 2 in this section Fo each answer enter a number a What percent of the tomatoes weigh less than 0 76 lb b In a shipment of 6 000 tomatoes how many tomatoes can be expected to weigh more than 0 31 lb tomatoes c In a shipment of 4 500 tomatoes how many tomatoes can be expected to weigh from 0 31 lb to 0 91 lb tomatoes

The quadratic function f x goes through the points 2 0 0 13 and 3 0 Which ex pression below is t x A 2 x 2 x 3 D 2 x 0 5 12 5 B 2 x 2 x 3 C x 2 x 3 12 5 E x 12 F None of the above

pose 3 2 2 Then 16 7 17 is parallel 6 4 4 is perpendicular 4 5 3 3 is

If we want to iterate through the indices of a vector which of the following incomplete statements creates the ideal loop we would use for i in 1 length x O for i in seq len x O for i in x O for i in seq along x O for i in length x

Find the measure of each angle 6

Explain how the graph of h z UFE E XA 2 6 compares to the graph of f x

Write an equation for the translation of y 2 with the asymptotes x 2 and y 5 Use y format

Simplify the given expression 82 26 15 86 20 2 46 10 Reorder each step in the correct sequence 6 26 15 8b 20 62 26 15 4b 10 8b 20 2 6 5 b 3 4 6 5 b 3 2 26 5 4 2b 5 2 6 26 15 8b 20 III III 2 4b 10 2 4b 10

The graph below shows the function f x Sketch the graph of 2f x 3 1 on the grid provi 10 9 8 7 6 5 4 X 4 2 2 4 10 9 8 7 6 5 4 2 10 1 3 2 1 2 3 4 4 6 7 8 9 10 1 2 3 4 5 6 y 6 5 5 1 8 9 10 10 9 8 7 6 5 4 10 X 9 8 7 6 5 4 3 2 1 3 2 10 1 2 3 4 5 6 7 8 9 10 1 2 y 3 4 5 6 8 9 10

mplest radical form 243x 3 5 Submit Answer

etermine whether the following statement makes sense or does not make sense arametric equations let one think of a curve as a path traced out by a moving point Choose the correct answer below OA The statement makes sense because as the value of parameter t increases the values of x and y also increase OB The statement does not make sense because x f t and y g t are not always functions of t alone OC The statement does not make sense because each point on the curve cannot be determined by the parameter alone OD The statement makes sense because as the parameter takes values in its domain the parametric equations x f t and y g t describe a locus of a moving point

ive the solution of the syster 4x y 18 8x 2y 36

In American roulette the wheel contains the numbers 1 through 36 alternating between black and red There are two green spaces numbered 0 and 00 A player places a bet of 1 00 on red to play the game If the ball lands on red the player gets a 1 00 for winning and receives the money back If the ball does not land on red then the player simply loses the 1 00 placed on the bet Calculate the expected winnings on one game Round your answer to the nearest cent Answer 2 Points Keypa Keyboard Shortc

II The following two way table shows students London Boys Girls Total London 35 32 67 York 19 40 59 Total 54 37 91 1 Fill in the two way table 2 Calculate the probability that a student chosen at random went to London 2 out 126 3 Calculate the probability that a girl chosen at random went to York 2 out 137 4 Calculate the probability that a student who went to York was a boy 2out 54 5 Calculate the probability that a student chosen at random was a boy who went to London 6 Calculate the probability that a student chosen at random was a girl who went to London

The chance that the alarm is triggered depends on whether or not the bag contains a forbidden item so we should first distinguish between bags that contain a forbidden item and those that don t Suppose that 5 of bags contain forbidden items 0 05 RG QUESTION 1 Forbidden Not forbidden What is the probability that a randomly chosen bag does NOT contain a forbidden item

Mrs Wheeler prepares a list of 43 US presidents 31 of whom served in the military Then 8 students each select a president at random there ca be repeats for their civics presentations What is the probability that at least one of the students will select a president who did not serve in the military Round your answer to the nearest hundredth P at least one not in military

1 10 points Use the graphs of f and g to evaluate a h Graph of a lim f x g x x 0 c lim f x g x x 1 e lim x g x X 2 1 f x x 3 g x g lim 2 3 2 1 2 3 x 1 Graph of g b lim x g x 1 f lim g x x 3 f x 2 d lim 2 x 3g x 3 h lim 1 f x g x x 1