The temperature at which water starts to boil is called its boiling point and is linearly related to the altitude. Water boils at 212°F at sea leveland at 193.6°F at an altitude of 10,000 feet.(a) Find a relationship of the form T = mx + b where T is degrees Fahrenheit and x is altitude in thousands of feet.(b) Find the boiling point at an altitude of 4,300 feet.(c) Find the altitude if the boiling point is 197.5°F.(d) Graph T and illustrate the answers to (b) and (c) on the graph.(a) Choose the correct relationship below.O A. T = 1.84x+212O B. T = 1.84x +212O C. T = 1.84x-212O D. T= 1.84x - 212

We have (a) To Find a relationship of the form T=mx+b where T is degrees Fahrenheit and x is…

Answered: The temperature at which water starts…

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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The federal government has developed the body mass index to determine ideal weights. A person's BMI is directly proportional to their weight in pounds and inversely proportional to the square of their height in inches. A BMI of 19-25 corresponds to a healthy weight. A 6-foot tall person weighing 177 lbs has BMI 24. (a) Determine the constant variation. (b) Find the BMI (to the nearest whole number) of a person whose weight is 130 lbs and whose height is 66 inches. (c) Calculate the BMI with listed height of 6’3 and weight of 215 lbs. Would this be considered a “healthy” BMI? (d) What if I told you that the information from part (c) is the listed height and weight of Chris Hemsworth while filming Thor: Ragnarok? What might this mean for the measurement of BMI?
During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)
A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one complete revolution every 20 s, find an equation that gives the height above the ground of a person on the Ferris wheel as a function of time. (Let y be the height above the ground in meters and let t be the time in seconds. Assume that when t = 0 the person is 11 m above the ground and going up.)
The water level in a tank rises 4 feet every minute. Write an equation of change that describes the height H, in feet, of the water level at time t in minutes.a. dH/dt = 3b. dH/dt = 4c. dH/dt = 5d. dH.dt = 6
The relationship between a temperature in degree Celsius (C) and In kelvins (K) is given by K = C + 273. What is Celsius temperature for a temperature of 10 kelvins?

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