Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example, the height (incentimeters) of a man with a humerus bone of length x cm can be obtained by multiplying 2.89 by x and adding 70.64 to the result.(a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long.h(x) =(b) Use your function h from part (a) to predict the height of a man whose humerus bone is 30 cm long.cm

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Answered: Anthropologists can determine a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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An athlete signs a contract saying that they will earn $8.3 million with an increase of 4.8% each year of the 5 year contract. The athletes salary (in million dollars) on the xth year is given by f (x) = 8.3(1.048)* The athletes salary on the 3rd year of the contract is $ million dollars. (Give your answer to one decimal place)
The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the function f(x) = 0.223(1.25), where x = 5 corresponds to the Find the first full year in which the foreign earnings kept overseas exceeds the following amounts. year 2005 (a) $1.3 trillion (b) $2.4 trillion ... (a) The first full year in which the foreign earnings kept overseas exceeds $1.3 trillion is (Type a whole number.) (b) The first full year in which the foreign earnings kept overseas exceeds $2.4 trillion is (Type a whole number.)
A function N=f(x) gives the number of miles driven in a day. What does f(Monday)=500 mean?
A city's population was 28,500 people in the year 2015 and is growing by 950 people a year.(a) Give a formula for the city’s population, P, as a function of the number of years, t, since 2015. Do not use commas in your submitted answer. P= people. (b) What is the population predicted to be in 2020? P= people. (c) When is the population expected to reach 35,000? Round your answer to the nearest integer. The population will reach 35,000 in the year.
The price, p, of a specific used car that is x years old is given by the following formula. p(x)=19937(0.86)x (a) How much does a 3-year-old car cost? (b) How much does a 9-year-old car cost? (a) A 3-year-old car costs $_____. (Round to two decimal places as needed.) (b) A 9-year-old car costs$_______. (Round to two decimal places as needed.)
Under a microscope, Ms. Kapinski studies a culture with bacteria. As the number of hours progresses, Ms. Kapinski sees that the bacteria can be modeled by the function ?(?) = 1290(0.76) ? where b represents the number of bacteria t hours after Ms. Kapinski begins her study. (a) What does the value 0.76 represent in this situation? Be sure to explain. (b) What does the value 1290 represent in this situation? Be sure to explain. (c) The number of bacteria in a second study is modeled by the function ?2 (?) = 1180(1.76) ? . i. What does the value of 1180 represent in this situation? ii. What does the difference of 1290 and 1180 mean between the two studies? iii. What does the difference between 0.76 and 1.76 mean between the two studies?
Sketch the graph of f(x)= square root(-1-x) by hand, without calculator
Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example, the height (in centimeters) of a man with a humerus bone of length x cm can be obtained by multiplying 2.89 by x and adding 70.64 to the result. (a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long. h(x) = (b) Use your function h from part (a) to predict the height of a man whose humerus bone is 25 cm long. cm
A geologist is using stratigraphy to analyze the history of a canyon wall overlooking a river, in a region which used to be covered by a prehistoric ocean. She finds that in a certain location where there are few intrusions, the age of the rock layers can be (roughly) modeled as a function of the height above the canyon floor. She uses the function f (x) = 400e--05x where x gives the height in feet and f (x) is the age in millions of years. + 10
Anthropologists can estimate a person's height from the length of certain bones. The height h (in inches) of an adult human female can be modeled by the function h(1) where / is the length (in inches) of the femur, or thigh bone. (a) Find the domain and range of the function. (Round your answers to 2 decimal places.) Domain: ? ↑ ? ↑ Range: ? ↑ (b) Suppose a female's femur was 16 inches long. About how tall was she? (Round your answers to the nearest inch.) ft in Need Help? ? (c) If an anthropologist estimates a female's height to be 5 feet 3 inches, about how long was her femur? (Round your answer to 2 decimal places.) in Read It ↑ Talk to a Tutor = 1.94/+ 28.4, 16 ≤ / ≤ 25,
The quantity of dollars in a bank account is given by the function f(x)=15(1.02)x, where x is the number of years from the date at which money is initially deposited. Given this function, which of the following is true? $15 was initially deposited into the account, which grows at an annual rate of 2%. $15 was initially deposited into the account, which grows at an annual rate of 102%. $1.02 was initially deposited into the account, which grows at an annual rate of 15%. $1.02 was initially deposited into the account, which grows at an annual rate of 0.15%.
Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the number of people (past and present) who have heard the rumor at t days since today. a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.] a. Find an equation of f. f(t) = ¹ b. How many people (past and present) will have heard the rumor 10 days from now? people c. How many people (past and present) will have heard the rumor 15 days from now? people Has model breakdown occurred? A. Model breakdown has occurred because the value for f(15) is greater than the population. B. Model breakdown has not occurred because the value for…

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