(a) A hardware engineer is looking at the temperature of Central ProcessingUnits (CPUs) of different computers. In one experiment, thetemperature of the CPU of her own computer can be modelled by theequationy = -0.05t +45 (0 ≤ t ≤ 60),where y is the temperature of the CPU in degrees Celsius and t is thenumber of seconds into the experiment.(i) Find the temperature of the CPU after 17 seconds according to thismodel.(ii) Explain what is meant by the inequality '(0 ≤ t ≤ 60)' that followsthe equation.(iii) Using algebra, calculate the time at which the CPU is 42.6° C.(iv) Write down the gradient of the straight line represented by theequation y = -0.05t + 45. What does this measure in the practicalsituation being modelled?(v) What is the y-intercept of the equation y = -0.05t +45? Explainwhat it means in the practical situation being modelled.E12E12

Answered: Image /qna-images/answer/5e9efad0-9317-486d-b75f-b88bca9a1bef.jpg

Answered: a) A hardware engineer is looking at…

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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(1) Delbert is scuba diving at a depth of 400 meters when he begins to ascend. He ascends by 10 meters each minute. Write an equation for Delbert’s altitude, A, in terms of t. Also: Complete the table of values showing Delbert’s altitude, A, t minutes after starting his ascent. t = 0 10 20 30 40 A = ? ? ? ? ?
The percent of high school students who smoked cigarettes on 1 or more of the 30 days preceding the survey is given by y = -0.064x² +0.277x +33.715, where x is the number of years after 1990. During what years from 1990 on is the percent greater than 30%? From to the percent is greater than 30%. (Round up to the nearest year as needed.)
Let �(�) be the height of a maple tree in inches and � the number of years since 2000. A linear model for the data is �(�)=9.44�+84.182.36912155060708090100110120130140150160170180190200210220A) To the nearest inch, estimate the height of the maple tree in 2012. inchesB) Use the equation to find the year in which the tree will be 249 inches tall.
The purchase price of a home y (in $1000) can be approximated based on the annual income of the buyer x1 (in $1000) and on the square footage of the home x2 (in 100 ft2) according to y = ax1 + bx2 + c. The table gives the incomes of three buyers, the square footages of the home purchased, and the corresponding purchase prices of the home. Square Footage (100 ft’) x2 Income Price ($1000) x1 ($1000) y 80 21 180 150 28 250 75 18 160 a. Use the data to write a system of linear equations to solve for a, b, and c. b. Use a graphing utility to find the reduced row-echelon form of the augmented matrix. c. Write the model y = ax1 + bx2 + c. d. Predict the purchase price for a buyer who makes $100,000 per year and wants a 2500 ft2 home.
The answers are K=73.333 and L=146.67 Ibs, can you explain to me how to get there?
Jane collects data from 40 elementary school students and finds that the relationship between age (x) and score on a certain test (y) is given by y=3.2x+45. What can she extrapolate about the score a 16-year old will get on the test?
The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). What is the value of the y-intercept (a) estimated in the linear prediction equation provided above (= 22-1.3x)? Also, interpret the y-intercept. y-intercept: Interpretation of y-intercept:
Please solve only part d) and part e)
The scatter plot shows the number of years of experience, x, and the amount charged per hour, y, for each of 23 dog sitters in California. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the amount charged per hour by a dog sitter with 10 years of experience. Note that you can use the graphing tools to help you approximate the line. Amount charged in dollars \per hour/ 22- 20+ 18+ 16+ 14+ 12+ 10- 8- 6- 4+ 2+ 0 2 4 X 6 X X +3 +: X 8 10 12 14 16 18 20 22 Years of experience X S (a) Write an approximate equation of the line of best fit. :0 y = (b) Using your equation from part (a), predict the amount charged per hour by a dog sitter with 10 years of experience. $0 x Ś
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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