Sequences & Series Questions and Answers

Question 2 of 16 Step 1 of 1 Determine whether the pair of lines is parallel perpendicular or neither Answer 2x y 5 8x 4y 9 Parallel 0 18 Correct Perpendicular Neither

5 A puzzle the closest puzzle 2 cm is shown below Which of the following is to the area of the shaded portions of the A 18 cm B 72 cm C 24 cm D 60 cm H 2 cm

nd the sum of the first 7 terms of the following sequence Round to the nearest indredth if necessary 10 Sn 12 C 72 Sum of a finite geometric series a airn 9 5

Question 4 O 2 5 m The area of a rectangular room is 20 sq m If its length is 3 4 m find the width of the room O 5 2 m O 9 24 m Points 3 O 40 m essions

The inverse of f x x 1 Hint use the horizontal line te is is not va function

A rectangle has a length of x 7 and a width of x 3 Which equation below describes the area A of the rectangle in terms of x OA x 10x 21 O A 2x 4 A x 4x 21 O A 4x 8 K

Evaluate the function at the given value using synthetic divisic f x 2x 3x 4x 2 at x 3 f 3

Select the answer if it is a root of the function f x 4x 20x x 89x 42 04 3 0 112 217

Lesson 12 4 Checkpoint Once you have completed the above problems and checked your solutions complete the Lesson Checkpoint below Complete the Lesson Reflection above by circling your current understanding of the Learning Goal Complete the problems 1 Jasmine and Eric Walton bought 280 shares of WEX stock They paid a total of 9 788 50 They sold at 23 per share They paid a 60 sales commission Determine the profit or loss 2 Bruce and Shelita Maron own 850 shares of a pizza chain s stock They originally paid 28 75 per share for the stock They needed cash so they sold at the current price of 23 40 per share They paid a 14 95 sales commission for each transaction What was the profit or loss AN on 02 din

with your teacher Complete the problems 1 You purchase TEK stock for 15 53 per share Dividends are 1 48 per share Determine the annual yield to the nearest hundredth of a percent

You invest 7500 into an account that has a 1 6 annual interest rate and is compounded quarterly How long will it take until you have 10 000 72 06 years 18 02 years 28 56 years 6 2 years

Consider the following equation 25x 121x 0 Step 1 of 2 Completely factor the left hand side of the equation into two or more factors

A metallurgist has one alloy containing 29 copper and another containing 53 copper How many pounds of each alloy must he use to make 49 pounds of a thi alloy containing 34 copper Round to two decimal places if necessary Answer How to enter your answer opens in new window pounds of the alloy containing 29 copper Key Keyboard Sho

Correct Consider a square and a regular octagon an 8 sided figure with sides of equal length One side of the square is 7 feet longer than a side of the octagon and the two figures have the same perimeter What are the lengths of the sides of each figure Round to two decimal places if necessary Answer How to enter your answer opens in new window length in feet of the sides of the square Keypa Keyboard Shortc

Correct George invested some money at 12 interest George also invested 113 more than 4 times that amount at 8 How much is invested at each rate if George receives 664 20 in interest after one year Round to two decimal places if necessary Answer How to enter your answer opens in new window amount invested at 12 Keypad Keyboard Shortcuts

22 102 is invested part at 11 and the rest at 7 If the interest earned from the amount invested at 11 exceeds the interest earned from the amount invested at 7 by 913 46 how much is invested at each rate Round to two decimal places if necessary Answer How to enter your answer opens in new window Correct amount invested at 11 Keypad Keyboard Shortcuts

A dairy needs 306 gallons of milk containing 5 butterfat How many gallons each of milk containing 6 butterfat and milk containing 3 butterfat must be used to obtain the desired 306 gallons Answer How to enter your answer opens in new window gallons of milk containing 6 butterfat Keypad Keyboard Shortcuts

Identify the sampling technique used Every 12th person in line to buy tickets to a concert is asked his or her age What type of sampling is used Cluster Stratified O Systematic O Random O Convenience

A n 0 1 2 1 1 1 2 2 2 1 2 3 3 1 2 4 find the 40 th term and the sum of the first 21 terms

What exponent rule would you use to simplify the expression x 5 3

7 1 points practice 25 live Find the Taylor series of f x 1 about the point a 1 Write the series in summation form Determine the radius of convergence and the interval of convergence

Click here to watch the video A door prize is selected by each person submitting their name on a piece of paper dropped into a large basket and a blindfolded person selecting one piece of paper What kind of sampling technique is this Choose the correct answer below OA Systematic OB Convenience OC Random D Cluster

Solve the system of equations X X y Z 8x 8y 6z 22 4x 5y 4z 12 2x 2y 2z 8

Write the angle relationship for each pair of angles K E F G H

Check Your Understanding 1 The graph of a function f x and a table of selected values for a function h x are given Let g x x 4 x 0 1 2 7 9 a Find h 2 f 2 h x 7 4 5 9 14 b Find g 7 f 7 a Find f x g x f x 2 A square has a side length that is described by the function s x 2x 1 a Use s x to write a new function P x describing the perimeter of the square b Find f x g x c Find f 5 b Use s x to write a new function A x describing the area of the square 3 Given functions f x 2x and g x 3x x find each of the following and simplify

The table to the right shows the median age that a person from a certain region first married for the years 2002 to 2012 Draw a bar graph that makes the increase in the median age of men for the years shown appear to be small and another that makes the increase in the median age of men for the years shown appear to be large OA 29 23 Choose the bar graph that makes the increase in the median age of men appear to be smaller than it is 26 8 Age 02 04 0608 10 12 OB 31 26 Age Year 2002 2004 2006 2008 2010 2012 02 04 0608 10 12 i Male Age 26 9 27 2 27 7 27 9 28 7 29 1 Female Age 24 9 25 0 25 2 25 7 25 9 26 4 in the mi O C 31 1 25 6 Age 02 04 0608 10 12 launa O D 55 Age 02 04 0608 10 12

The official Visual Flight Rules require that the distance between the ground and the bottom of the clouds to be more than 1000 feet for a plane to fly without instrumentation At night cloud height can be determined by aiming a searchlight straigh upward and having an observer find the angle of elevation to the point at which the light hits the clouds Suppose the observer stands 600 feet away from the searchlight and sights the beam of light on the clouds with an angle of elevation 75 What is the height of the cloud cover Round your answer to two decimal places 1343520 feet Would the Visual Flight Rules allow a plane to fly without instrumentation in these conditions Answer yes or no yes

Price 8 6 2 0 Price 4 8 12 16 Age yr Age yr

If Nadine in Example 1 desired a 15 annual yield rather than the 11 09 she is now getting what monthly rent would she have to charge Step 1 Find the desired annual net income Desired Annual Yield X Cash Investment 15 X 27 500 Step 2 Find the monthly rent 4 125 Desired Annual Net Income Annual Expenses 12 10 615 12 4 125 6 490 884 58 12 Nadine would have to charge monthly rent of 884 58 to earn an annual yield of 15 Concept CHECK Complete the problems Check your answers in the back of the book 3 If Bev Ray in Problem 1 wanted an annual yield of 25 what monthly rent would she have to charge 4 If Bev Ray in Problem 1 wanted an annual yield of 20 what monthly rent would she have to charge

A Answer 10 5 Step 1 of 2 Use the graph to determine the locations and type of the local extrema Write DNE for all extrema that do not exist Separate multiple answers with a comma if necessary Local minimum at Local maximum at Key Keyboard Sho

Predict the end behavior of T t Enter the correct answer in the box Show Hints As t o you can predict that T t 7 4 8 5 9 6 the temperature of the freezer

Write an equation for the ellipse Type the left side of the equation in the box below TECHEAYS 5

Question 2 ain a 0 847 what is nin a Question 3 con a 0 54 what is con a now Transcribed Text

The eigenvector 22 1 i belongs to the eigenvalue Oa 1 2i Ob 2 i Oc 2 i O d 1 2i O e 2 i Of 1 2i Og 2 i Oh 1 2i of the matrix 3 4 2 1

Find either a linear or an exponential function that models the data in the table 0 1 4 11 4 2 X y 3 2 32 16 1 8 Use integers or fractions for any numbers in the expression

10 Show Transcribed Text 10 iano interval Given the graph of f 2 above find the following and write your answers uning intercal notation a Domain 42 7 b Range c Interval s on which f a increasing d Interval s on which f a is decreasing e Interval on which f is constant

Predict the general term or nth term a n for the sequence 0 3 6 9 12

An angle with an initial ray pointing in the 3 o clock direction measures radians where 0 0 2 The circle s radius is 2 units long and the terminal point is located at 1 79 0 89 h 01 d Therefore Y 1 79 0 89 a The terminal point is how many radius lengths to the right of the circle s vertical diameter radius lengths Preview b When we evaluate cos h using a calculator or computer the value returned is radians Preview c Does an angle with the measure in part a terminate in the correct quadrant No M X Preview

The sum of the diameters of the largest and smallest pizzas sold at a pizza shop is 40 inches The difference in their diameters is 14 inches Find the diameters of the largest and smallest pizzas CXX The diameter of the largest pizza is inches and the diameter of the smallest pizza is inches Simplify your answer Type an integer or a decimal

The population in millions of a bacteria culture after r hours is given by y 10 3 a What is the initial population The initial population is i b What is the population after 2 hours The population after 2 hours is i It takes i million bacteria c How long does it take for the population to reach 1000 million bacteria Round your answer to three decimal places million bacteria d What is the doubling time of the population Round your answer to three decimal places The doubling time of the population is i hours for the population to reach 1000 million bacte hours

2 Evaluate the six trigonometric functions at the given real number a 5T

Find a to the nearest tenth Show Transcribed Text 3 Find x 3 C 1070 The length of a is approximately Round the final answer to the nearest tenth as needed Round all intermediate values to the nearest tenth as needed O 150 219 170 270 260 The value of x is Do not round until the final answer Then round to the nearest tenth as needed 10 33d

A balloonist is directly above a straight road 1 7 miles long that joins two towns She finds that the town closer to her is at an angle of depression of 38 and the farther town is at an angle of depression of 34 How high above the ground is the balloon 385 1 7 mil The balloonist is about miles above the ground Round the final answer to two decimal places as needed Round all intermediate values to four decimal Not to scale

f x x and g x x Step 1 of 2 Find the formula for f g x and simplify your answer Then find the domain for f g x Round your answer to two decimal places if necessary Answer f g x Domain Keypad Keyboard Shortcu

For Problems 9 and 10 determine a the annual net income and b the annual yield rounded to the nearest hundredth 9 Mark Shapiro bought a three bedroom two bath house as a rental property He paid 219 600 with a 50 000 down payment The annual expenses totaled 26 475 Mark rented the house for 2 500 per month

5 4 pts What do we know about the degree and leading coefficient for the polynomial graphed above

TB TF Qu 12 136 Static Goodloe Corporation s credit sales Goodloe Corporation s credit sales for Year 1 were 500 000 and the balance in Its accounts receivable Increased by 26 000 during the year In Year 1 Goodloe collected 526 000 In cash from its customers True or False True False

Evaluate the difference quotient for f x 5x 6x 12 O 5x 5h 6 O 5h 6 O 10x 5h 6 10x 5h 1

1 ints terencas TB MC Qu 12 67 Algo On January 1 Year 2 the balance of Jacobs On January 1 Year 2 the balance of Jacobs Corporation s Accounts Receivable was 36 000 Sales on account for Year 2 amounted to 192 000 and the ending balance of Accounts Receivable was 56 000 What is the amount of cash collected from coment Multiple Choice O 228 000 136 000 212 000 172 000

TB TF Qu 12 132 Static Companies report significant noncash Companies report significant noncash Investing and financing activities on a schedule that accompanies the statement of cash flows True or False True False