Sequences & Series Questions and Answers

Given g x 2x 3 a 4 pts SHOW WORK Express S n 4 4 as a rational function in

Use a graphing calculator or a computer program for the simplex method to solve this linear programming problem X3 X4 S 1 0 0 0 X 0 0 1 X2 0 375 75 5 25 125 80 70 105 625 375 0 60 S 0 1 0 0 0 510 570 330 The optimal solution X x x3 and x4 produces the maximum value Do not round until the final answer Then round to the nearest integer as needed

14 Expand the logarithmic equation Log 2 1x

Suppose that 90 of all steroid users get a positive test result that the test yields a false positive result 8 of the time and that 18 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 F Check Clear Help E E E E kility that he uses steroids

Identifying Functions Graphing Quadratics tifying Functions On questions 1 8 solve each function for y where necessary and then identify each function as linear absolute value quadratic or exponential 1 y 6x 14 Y 6x 19 ciu zar 5 7 X 2 1 0 y 5 7 9 3 X y 8 2 3x 1 2x y 3x 1 2x44 2x 4 3x 1 2 1 0 4 2 1 Y 2018 4 2623x1 Quadiatic 1 11 2 3 13 15 1 2 0 5 0 25 3 y 7 4 7x c Identify the vertex 1 2 d Is the vertex a maximum or a minimum point min fu the maximum or minimum value 6 8 exponential X y 9 Graph y 2x 4x using a table over the interval 3 x 1 a Identify the direction of the graph Open upward or downward uprzed b Identify the axis of symmetry X 2 1 0 1 2 y 12 4 0 0 4 3 6 4 y x 5x x2 72x 436 82 Y JX HW 3 2 1 4 2 0 cinsar 0 1 2 2 4 3 12 3 6 Da

20 A submarine 225 m below sea level detects a small aircraft flying directly above it The equipment on board the submarine estimates that the aircraft is 472 m away What is the height of the aircraft above sea level

Find the inverse Z transform of Y z 2z 1 z 9

Question 9 of 25 Which of these is a factor in this expression 72 5 10 y 8 O A 5 10 y 8 OB y 8 OC 724 5 O D 10 y 8

analyze and sketch the graph of r 10 5 4costheta in the polar plane Be sure to identify the type of curve and label a few points on the graph Identify the values for a b and c in the given conic section 10

Use a graphing utility to find the sum of the geometric sequence Round to two decimal places if necessary 7 21 63 189 567 7 310 A 620 031 B 620 009 OC 620 011 D 619 974 GLEES

The partial 2 6 18 4374 Show Transcribed Text

The points in the table form a proportional relationship What is the slope of the line that passes through these points T X y 01 0 0 2 4 3 6 9 6

Each value of n represents the number of sides of a regular polygon Determine whether the given angle measure is the correct sum of the interior angles of the polyg n 3 90 n 4 480 n 5 540 n 6 720 Yes 0000 No 0000

How many solutions does the system of equations shown have 2 20 2 no solution one solution two solutions

The scatter plot shows an ice cream shop s total profits per day relative to the daily high temperature Complete a true statement to describe the association between the two sets of data Select all words that apply Profit S 200 150 100 50 0 70 74 78 82 86 Temperature F The data sets show a positive negative nonlinear linear association

the problem 1 Suki and Taj Majorka invested 12 500 in the Eaton Vance Dividend Builder Fund Type A The net asset value is 21 71 The fund is front loaded with a loading rate of 5 75 a What is the loading charge b How many shares did they buy

Select all the statements that are true about the relation shown in the mapping diagram 21 XX 42 9 5 The relation is a function The relation is not a function The domain is 1 2 5 11 The range is 1 2 5 11

2 f x log x 5 X 8 6 4 2 0 2 4 89 6 y Domain Range Asymptote s Transformation s 46 44 12

T Find the exact rea Solutions to the equation 2x 9x 5 0

ind the first four terms and the eighth a 1 8 and a n a n 1 3 for n 2

A can of spray paint shoots out paint in a cone shaped mist The lateral surface area of the cone is 65pi square inches when the can is held 12 inches from a canvas What is the area of the part of the canvas that gets sprayed with paint Round your answer to the nearest hundredth

In a high school of 1250 students 250 are freshmen and 150 students take Spanish If being a freshman and taking Spanish are independent what is the probability that a randomly selected Spanish student is a freshman A 0 024 B 0 150 C 0 170 D 0 200 E 0 120

Have a Sibling Only Child Have Chores 7 9 Do Not Have Chores 8 6 Fiona interviewed her 30 classmates on whether or not they have a sibling and if they have assigned chores at home She displayed her results in the table shown Which statement is true Half of her classmates have a sibling and half do not More only children do not have chores than those with a sibling Fewer classmates have chores than don t have chores More than half of her classmates are only children

Find at least the first four nonzero terms in a power series expansion about x 0 for a general solution to the giver differential equation y x 3 y y 0 y x

A hot air balloon accidentally takes off while still attached to two anchors bolted to the ground Boone rises with a force of 800 newtons both ropes hold it from taking off with a strength of 500 newtons when an angle of 25 degrees on the ground What is the angle between the two ropes

he heights in feet at time in seconds of a silver dollar dropped from the top of a building is given by s 201 565 Find the average velocity on the interval 3 5 tus b Find the instantaneous velocities when t 3 and when t 5 3 X c How long will it take the dollar to hit the ground Round your answer to two decimal places PUS res d Find the velocity of the dollar when it hits the ground Round your answer to one decimal place ft s

Evaluate the expression without using a calculator 2 5 32 2 s

Find the inverse function for f x 2x 9 x 9 2 J x x 9 2 x x 9 2 O X 0 f X 0 O f x 2x 9 1 x x 9

K rev Answer 2 Points Selecting an option will display any text boxes needed to complete your answer 2023 Hawkes Learning 2 W 3 80 E 54 888 R p x 5x 18x 33x 10 k 5 5 22 T Isk a zero of this polynomial 0 Yes O No MacBook Pro 6 Y 7 U 411 00 8 9

Find the domain of the function f x 1 x 10 The domain of f x is Type your answer in interval notation

The logistic growth function f t 56 000 1 799e 1 2t after 7 weeks Round to nearest whole number OA 490 people OB 56 800 people OC 47 571 people OD 47 471 people models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community How many people were CHE

The daily profit in dollars of a specialty cake shop is described by the function P x 3x 156x 1 836 where x is the number of cakes prepared in one day The maximum profit for the company occurs at the vertex of the parabola How many cakes should be prepared per day in order to maximize profit OA 52 cakes OB 26 cakes OC 676 cakes OD 2028 cakes CIB

Use Compound formulas and A Pert to find the accumulated Solve Valve of an la Years investment of 2 000 at 10 Compond Semianually for

You have to enclose a rectangular pict that borders on a river If you not fence the side along the river find length and width of do that will maximize area plat 03 210

You inberit 10 000 Stipulation that for the first Year the money in tuo Stocks 11 must be invested Paying 6 and annuau intrest respectively How much Should be invested at each rate if the total intrest first year is 900 earned

pe b g c x k Choose the correct answer below OA The statement is false because p is one of the elements listed in the set OB The statement is false because p is not a set OC The statement is false because p is not one of the elements listed in the s OD The statement is true

Question 37 1 point Solve The population of a particular country was 24 million in 1983 in 1988 it was 33 million The exponential growth function A 24kt describes the population of this country t years after 1983 Use the fact that 5 years after 1983 the population increased by 9 million to find k to three decimal places 1 335 0 074 0 439 0 064 Question 38 1 point Saved Solve the system by the method of your choice Identify systems with no solution and systems with infinitely many solutions using set notation to express their solution sets

Passing through 4 3 and parallel to the line whose equation is y 2x 6 O A 1 y 5x 1 OB y 2x 11 OC y 2x 5 OD 1 y x 2x 5

Graded Time Taken 0 36 04 Ava golke Attempt 1 Question 29 1 point p 1 nt and A Use the compound interest formulas A Pnt and A Pert to solve Find the accumulated value of an investment of 760 at 6 compounded annually for 11 years 1261 60 1216 00 1442 71 1361 04 Question 30 1 point Saved

aded me Taken 0 35 04 Ava golke Attempt 1 Solve the problem The Family Fine Arts Center charges 24 per adult and 15 per senior citizen for its performances On a recent weekend evening when 530 people paid admission the total receipts were 9471 How many who paid were senior citizens 169 senior citizens 271 senior citizens 259 senior citizens 361 senior citizens

K A train ticket in a certain city is 2 00 People who use the train also have the option of purchasing a frequent rider pass for 16 50 each month With the pass each ticket costs only 1 25 Determ of times in a month the train must be used so that the total monthly cost without the pass is the same as the total montity cost with the pass OA 23 times OB 21 times OC 24 times OD 22 times

B 13 14 15 16 17 18 19 20 Choose the correct answer below O A B x xEN and 13 x 20 B x xEN and 13 x 20 B OC B O D B x xEN and 13 x 20 O E B x XEN and 13 x 20

T E is the set of odd natural numbers Choose the correct answer below OA E x xEN and x is even O B E x x is an integer and x is odd E x XEN and x is odd OC O D E x XEN OE E x XEN and x is a multiple of 4 OF E

E x XxEN and 6 x 54 Choose the correct answer below OA E 6 7 8 9 B E 7 8 9 10 OC E 6 7 8 9 53 O D E 7 8 9 10 54 OE E 6 7 8 9 54 OF E 7 8 9 10 53 OG

Fill in the table using this function rule y 3x 5 X 4 2 0 2 y 0 0 1 X

The set of the five best NFL players Choose the correct answer below OA The set is not well defined OB The set is well defined

K Determine whether the set is well de The set of U S airports Choose the correct answer below O The set is well defined O The set is not well defined

K The two ways to indicate an empty set are and

Fill in the blanks with appropriate words or phrases The three ways a s t can be written are The three w and

Select all symmetry present in the following shape Choose all that apply 90 degree Rotational Symmetry Reflectional Symmetry No Symmetry 180 degree Rotational Symmoto