Mathematical Induction Questions

Question 35 0/1 pt 100 0 Details The length of time T in seconds that it takes for the pendulum of a clock to complete one cycle is given by the formula L T 27 32 where L is the length of the pendulum in feet. 1. How long must a pendulum be if one complete

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Question 35 0/1 pt 100 0 Details The length of time T in seconds that it takes for the pendulum of a clock to complete one cycle is given by the formula L T 27 32 where L is the length of the pendulum in feet. 1. How long must a pendulum be if one complete cycle takes 2 seconds? (Round your answer to 2 decimal places) 2. Solve the formula for L. Submit Question 1/1 pt 99 0 Details Question 36

Following the birth of a child, a parent wants to make an initial investment P, that will grow to $40,000 for the child's education at age 19. Interest is compounded continuously at 5%. What should the initial investment be? Such an amount is called the pr

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Following the birth of a child, a parent wants to make an initial investment P, that will grow to $40,000 for the child's education at age 19. Interest is compounded continuously at 5%. What should the initial investment be? Such an amount is called the present value of $40,000 due 19 years from now. The present value is about $ (Do not round until the final answer. Then round to two decimal places as needed.)

Here is a proof by mathematical induction that any gathering of n people must all have the same blood type. Explain where the proof goes wrong. Anchor: If there is 1 person in the gathering, everyone in the gathering obviously has the same blood type. Indu

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Here is a proof by mathematical induction that any gathering of n people must all have the same blood type. Explain where the proof goes wrong. Anchor: If there is 1 person in the gathering, everyone in the gathering obviously has the same blood type. Inductive hypothesis: Assume that any gathering of k people must all have the same blood type. Inductive step: Suppose k + 1 people are gathered. Send one of them out of the room. The remaining k people must all have the same blood type (by the inductive hypothesis). Now bring the first person back and send someone else out of the room. You get another gathering of k people, all of whom must have the same blood type. Therefore all k + I people must have the same blood type, and we are done by mathematical induction. Select one: a. The anchor is false, because there is no way to know the blood type of any 2 people. O b. The inductive hypothesis is false, because there is no way to know the blood types of any group of k people. C. The inductive step does not work for 2 people. Sending them out of the room leaves 1 person (and 1 blood type), but we cannot conclude that their blood types will match. O d. The inductive step does not work for 3 people. Sending them out of the room leaves 2 people, but we cannot conclude that their blood types will match.

My Home X CengageNOWV2 Online teachir x + @ https://v2.cengagenow.com/ilrn/takeAssignment/takeAssignmentMain.do?invoker=&take AssignmentSessic CHAPTER 11 - LIABILITIES: BONDS PAYABLE Previous Page 6 of 6 !!! Goss Company reported the following on the compa

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My Home X CengageNOWV2 Online teachir x + @ https://v2.cengagenow.com/ilrn/takeAssignment/takeAssignmentMain.do?invoker=&take AssignmentSessic CHAPTER 11 - LIABILITIES: BONDS PAYABLE Previous Page 6 of 6 !!! Goss Company reported the following on the company's income statement for the current year: Interest expense $ 400,000 Income before income tax expense 2,000,000 What is the times interest earned ratio? O a. 6.0 O b. 5.0 O c. 3.0 O d. 4.0 FH Type here to search Cengage Learning | Cengage Technical Support BI DOLL esc F2 DII F3 FS F6 F7 F8 impr pas # F9 $ % 2 & 3 4 5 - 0 0 7 8 Q Q W @ E R. T Y U A S D F G H H J K Z X C

Question 14 (1 point) a Kathy Ken gets a student rate of $23.50 a month for health insurance. There is a $300 deductible. She recently received treatment for a covered condition. The bill was $4,650.00. Cathy's insurance company provided payment of 80% of

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Question 14 (1 point) a Kathy Ken gets a student rate of $23.50 a month for health insurance. There is a $300 deductible. She recently received treatment for a covered condition. The bill was $4,650.00. Cathy's insurance company provided payment of 80% of the bill less the deductible. What was the company's payment? What was Kathy's total cost (ignoring the monthly premium)? Oa O $3,480.00; $1,230.00 $3,720.00; $1,170.00 $3,480.00; $1,170.00 C Od $3,720.00; $1,230.00

Jason and Marc each bought a new video game for $40. • Jason sold his game to the used game store for 25% less than the original price. • Marc sold his game to the used game store for 30% less than the original price. Enter how much more money, in dollars,

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Jason and Marc each bought a new video game for $40. • Jason sold his game to the used game store for 25% less than the original price. • Marc sold his game to the used game store for 30% less than the original price. Enter how much more money, in dollars, Jason received for his video game than Marc received for his video game.

Question 14 1 pts Use the Inventory Control information above to answer this question. Inventory Control Jesaki Publishing sells 50,000 copies of a certain book each year. It costs the company $1 to store a book for one year. Each time that they print addi

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Question 14 1 pts Use the Inventory Control information above to answer this question. Inventory Control Jesaki Publishing sells 50,000 copies of a certain book each year. It costs the company $1 to store a book for one year. Each time that they print additional copies, it costs the company $1,000 to set up the presses. NOTE: We assume that the demand is uniform. Since we assume the demand is uniform, the number of books in storage between printing runs will decrease from a to Let x= number of books printed during each printing run y= number of printing runs

Correct Find the value of the following function at x = 5 and x = 6. Does the Intermediate Value Theorem guarantee that the function has a real zero between these two X- values? f(x) = -x + 5x2 + 6x + 9 Answer Keypad Keyboard Shortcuts f(5) = f(0) = Does t

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Correct Find the value of the following function at x = 5 and x = 6. Does the Intermediate Value Theorem guarantee that the function has a real zero between these two X- values? f(x) = -x + 5x2 + 6x + 9 Answer Keypad Keyboard Shortcuts f(5) = f(0) = Does the intermediate Value Theorem guarantee that there is a real zero between 5 and 6? YES NO

Find S, through Sg and then use the pattern to make a conjecture about S, Prove the conjectured formula for S, by mathematical induction Sn: 1 1 1 1 + + +++ = ? 22 66 132 220 11n(n+1) + Find S, through S5 (Type an integer or a simplified fraction.) S =

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Find S, through Sg and then use the pattern to make a conjecture about S, Prove the conjectured formula for S, by mathematical induction Sn: 1 1 1 1 + + +++ = ? 22 66 132 220 11n(n+1) + Find S, through S5 (Type an integer or a simplified fraction.) S =

A construction crew has just finished building a road. The road is 12 kilometers long. If the crew worked for 5 days, how many kilometers of road did they build each day? (Assume they built the same amount each day.) Write your answer as a mixed number in

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A construction crew has just finished building a road. The road is 12 kilometers long. If the crew worked for 5 days, how many kilometers of road did they build each day? (Assume they built the same amount each day.) Write your answer as a mixed number in simplest form. kilometers 20 x ?

A manufacturing company currently uses 30 workers to load and unload trucks. Each worker can move an average of 14 boxes per minute. A robotics firm has built a robot that can load and unload boxes at the rate of 21 boxes per minute. How many robots will i

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A manufacturing company currently uses 30 workers to load and unload trucks. Each worker can move an average of 14 boxes per minute. A robotics firm has built a robot that can load and unload boxes at the rate of 21 boxes per minute. How many robots will it take to do the same job as the 30 humans? The required number of robots is (Simplify your answer.) rai SS bur h

Question 12 B01 Determine the equation of the vertical asymptote and the equation of the slant asymptote of the rational function. - 16x2 + 162 - 10 f(x) = - 2x+1 The equation of the vertical asymptote is The equation of the slant asymptote is Question Hel

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Question 12 B01 Determine the equation of the vertical asymptote and the equation of the slant asymptote of the rational function. - 16x2 + 162 - 10 f(x) = - 2x+1 The equation of the vertical asymptote is The equation of the slant asymptote is Question Help: Video Submit Question

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