Sequences & Series Questions and Answers
Algebra
Sequences & SeriesGiven f x O f g x Select the correct answer below O f g x O f g x r 5224 x x 72 O f g x O f g x O f g x x x 5 3 x 3 x 5 x 3 x 5 and g x 5 find f g x and determine any domain restrictions x 5 x 9 where x 8 9 5 x 3 x 5 where x 8 9 5 I 3 x 5 where x 8 9 5 x 3 I 5 where x 8 9 5 where 8 9 5 x where 8 9 5
Algebra
Sequences & Series10 16 If A 2 6 1 1 1 3 13 2 1 a 0 0 0 6 31 0 0 0 6 3 00 c 2 0 3 0 10 0 31 then A adj A A A is equal to b 1 d 2 0 10 0 01 1 0 0 1
Algebra
Sequences & SeriesQuestion 4 Jannet earned 15 20 8 18 12 20 10 16 and 25 by babysitting What is the mode of the data 20 25 Points 1 10
Algebra
Sequences & SeriesSuppose T R R2 is a linear transformation and that T 3 T H O Find T 77 B TH T
Algebra
Sequences & SeriesThe diagram shows the parts of a right triangle with an altitude to the hypotenuse For the two given measures find the other four Use simplest radical form 32 h 12 h 4 34 l 6 3 h 3 33 a 6 h 9 35 h 5 6 2 51 4 h E h 12
Algebra
Sequences & Series6 The table shows the distance time data collected for a person walking from a starting position Time s 1 2 3 4 5 6 7 Distance m 2 5 3 1 3 5 4 0 4 4 4 8 5 6 Distance m Microgen Shutterstock com a Create a scatter plot Draw a line of best fit long enough to allow you to estimate the distance at 0s and 10 s 2 marks Walking Speed 8 6 2
Algebra
Sequences & SeriesDirections Find the indicated sum for each arithmetic series 16 4 6 8 10 S 1 18 15 4 7 18 S 2 14 20 17 6n n 9 17 24 31 38 45 S 25 19 5k 1 k 1 35 21 3x 12 x 11
Algebra
Sequences & SeriesDirections Find the first five terms of each sequence 1 a 9 a a 2 for n 2 3 a 120 a a 1 2 2 a 4 a 3a 1 for n 2 1 8 for n 2 4 a 2 a 5 a a a2 4 for n 3
Algebra
Sequences & SeriesIn a lab experiment 6900 bacteria are placed in a petri dish The conditions are such that the number of bacteria is able to double every 6 hours Write a function showing the number of bacteria after t hours where the hourly growth rate can be found from a constant in the function Round all coefficients in the function to four decimal places Also determine the percentage of growth per hour to the nearest hundredth of a percent
Algebra
Sequences & SeriesQuestion Find s 2 for the polynomial s x 3a 2a 1 Do not include s 2 in your answer
Algebra
Sequences & SeriesConsider the following x 0 11x 2 05x 9 43x 5 94 a Use the Intermediate Value Theorem and the table feature of a graphing utility to find intervals one unit in length in which the polynomial function is guaranteed to have a zero Select all that apply 0 1 5 6 6 7 10 11 11 12 b Adjust the table to approximate the zeros of the function to the nearest thousandth Enter your answers as a comma separated list Round your answers to three decimal places x
Algebra
Sequences & SeriesWhat type of correlation exists between the two variables 3 X y 2 5 O Positive correlation O No correlation 6 O Negative correlation 4 7
Algebra
Sequences & SeriesFind the missing cost of the MP4 player if the mean of the data set is 135 Cost of MP4 players 105 120 110 135 120 O 220 240 O 105 140 110
Algebra
Sequences & Series5 Suppose passengers arrive at a bus stop according to PP A Buses leaves the stop at times T 2T 3T etc where T 0 is a fixed number Assume that the bus capacity is sufficient so that when a bus leaves there are no more passengers waiting at the stop What is the average waiting time of the passengers
Algebra
Sequences & Series1 point Find the minimum distance from the point Q 4 2 1 to the plane 6x 7x 1x3 6 Minimum Distance
Algebra
Sequences & SeriesAs a doctor Maria checked fifteen patients suffering from lung diseases due to smoking She wants to know if there is any causation between smoking habit and lung diseases Yes No Cannot be determined
Algebra
Sequences & Series4 Given the Functions f x 4x 3 x 2 2x 3 and gox x 4 a Calculate gof b what can be concluded about f and g
Algebra
Sequences & SeriesFrancis has collected the number of years of experience of five employees and their pay raises Experience in years Raise in percentage Is there any relationship between the experience and the raise 5 20 7 5 10 12 5 15 25 30 35 40 There is a correlation but no causation between them Complete later There is a causation but no correlation between them Both a correlation and a causation exist between them
Algebra
Sequences & SeriesFind the type of correlation that exists between the given table of values 2 3 X y 4 O No correlation 6 O Negative correlation Positive correlation 6 9
Algebra
Sequences & Seriesatch help video What is the surface area of the cylinder with height 2 mi and radius 3 mi Round your answer to the nearest thousandth 00
Algebra
Sequences & SeriesWatch help video Answer Find the surface area of a square pyramid with side length 6 cm and slant height 7 cm 6 cm 7 CR aily Ju C 6 cm
Algebra
Sequences & SeriesIdentify the type of correlation between the two variables X y 1 5 2 10 O Negative correlation O No correlation O Positive correlation 3 15
Algebra
Sequences & SeriesProject Home A 21ST century libr m HBO Max J The Juice Daily Ju What is the surface area of the cylinder with height 8 cm and radius 5 cm Round your answer to the nearest thousandth
Algebra
Sequences & SeriesUER Project Home A 21ST century libr m HBO Max J The Juice Daily Ju C Infir What is the surface area of the cylinder with height 7 yd and radius 2 yd Round your answer to the nearest thousandth
Algebra
Sequences & SeriesLet U a b c d e f g h i j k A b c d f h i B c d h i j C b e f h j Determine AU Cn B Select the correct choice and if necessary fill in the answer box to complete your c OA AU CnB 0 Use a comma to separate answers as needed OB AU Cn B is the empty set
Algebra
Sequences & SeriesIf f x 2 12x 35 r 8x 15 Select the correct answer below O f g x O f g x O f g x O fog x O fog x O f g x and g x x 7 x 4 x 7 x 4 x 7 x 4 x 7 x 4 where x 5 3 4 x 3 x 4 x 7 x 4 find f g x and any domain restrictions for f g x where a 5 3 4 x 7 x 4 where x5 3 4 where x5 3 4 where x5 3 4 where x5 3 4
Algebra
Sequences & SeriesEvaluate the function f at the indicated value 3 6x 7 if x 0 f 4 forf x 4 3x if0 x 3 3 y if y 3
Algebra
Sequences & Serieswo sides and an angle SSA of a triangle are given Determine whether the given measurements produce one triangle two triangles or no triangle at all Solve each triangle that results a 13 b 17 1 A 25 elected the correct choice below and if necessary fill in the answer boxes to complete your choice Round side lengths to the nearest tenth and angle measurements to the nearest degree as needed O A There is only one possible solution for the triangle The measurements for the remaining side c and angles B and C are as follows B OB There are two possible solutions for the triangle The measurements for the solution with the the smaller angle B are as follows B The measurements for the solution with the the larger angle B are as follows B O C There are no possible solutions for this triangle O C C O O C O C C C
Algebra
Sequences & SeriesUse the graph to determine whether the system has one solution no solution or infinitely many solutions one solution 0 2
Algebra
Sequences & SeriesQuestion 7 Calculate the correlation coefficient of the following table using a spread Increase in Population Decrease in Forest 0 6 4 3 5 6 0 990 OO 1 563 0 4 0 8 0 9
Algebra
Sequences & SeriesDavid typically takes 3 less hours than Marilyn to build a shelf if each works alone David and Marilyn worked together to build a shelf for 1 hour and then Marilyn finished the job without David after an additional 3 hours How long would it have taken David to build the shelf alone Do not include the units in your answer
Algebra
Sequences & Seriesh Given that the demand function is p D q 16 1 25q and that the supply function is p S q 0 75q find the equilibrium quantity and the equilibrium price The equilibrium quantity is The equilibrium price is watches 0 20
Algebra
Sequences & Seriesir 8400 is invested at a rate of 7 compounded continuously what will be the balance after 16 years Round your answer to two decimal place
Algebra
Sequences & SeriesThe measure of the correlation is 0 89 Find the type of correlation O No correlation O Strong negative correlation O Strong positive correlation
Algebra
Sequences & SeriesWhat type of relationship exists between the two variables x and y in the scatter plot 5 10 S 0 O Positive correlation No correlation O Negative correlation 5
Algebra
Sequences & SeriesQuestion What is the relationship between the dependent and the independent variables if the correlation coefficient is r 0 O Negative relationship O No relationship O Positive relationship
Algebra
Sequences & SeriesWhat is the length of leg s of the triangle below 45 90 10 2 A 1 B 10 2 O C 10 D 5 E 5 6 45 F 5 2
Algebra
Sequences & SeriesA positive integer is 4 less than another If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer then the result is Find all pairs of integers that satisfy this condition Select the correct answer below O 11 15 O 7 11 O 7 3 no solutions
Algebra
Sequences & Series9 The equation below has two solutions n 4 1 One solution of the equation is 3 What is the other solution of the equation
Algebra
Sequences & SeriesThe table shows the required temperatl Cooking Temperature F dried fruit 175 cookies 300 brownies 325 350 350 lasagna snack mix buffalo wings pizza baked chips Identify the outlier in the data set O 450 300 400 425 450
Algebra
Sequences & SeriesQuestion 8 Points 2 The table shows the number of schools in 12 different counties What is the median of the data Number of Schools 3 6 10 3 14 5 7 11 7 8 4 8 8 O 6