Sequences & Series Questions and Answers

Given 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

10 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

Question 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

Suppose T R R2 is a linear transformation and that T 3 T H O Find T 77 B TH T

The 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

6 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

Directions 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

Directions 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

In 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

Question Find s 2 for the polynomial s x 3a 2a 1 Do not include s 2 in your answer

Find m2JKL the arc JL 92 degrees 6 pts K

Consider 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

What 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

Find 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

5 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

Find the infinite sum of the geometric sequence with a 3 r 28 if it exists

1 point Find the minimum distance from the point Q 4 2 1 to the plane 6x 7x 1x3 6 Minimum Distance

As 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

4 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

Francis 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

Find 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

atch 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

Watch 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

Identify 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

Find the infinite sum if it exists for this series 2 0 4 0 08

Project 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

f x x 10x 25 and g x x 5 x Express your answer in interval notation

Write the arithmetic sequence 34 25 16 7 in the standard form an

UER 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

Find the partial sum S7 for the geometric sequence with a 3 r 5

Let 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

If 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

Evaluate 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

wo 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

Use the graph to determine whether the system has one solution no solution or infinitely many solutions one solution 0 2

Question 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

What is the number of ways of choosing 4 cards In how many of these

David 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

h 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

ir 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

The measure of the correlation is 0 89 Find the type of correlation O No correlation O Strong negative correlation O Strong positive correlation

What 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

Question 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

What 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

A 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

calculate the remainder of the divisi n 4 x 1 5 x 1 6

9 The equation below has two solutions n 4 1 One solution of the equation is 3 What is the other solution of the equation

The 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

Question 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

A An is an interval that contains no data O cluster O peak gap