A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is30° F. After one-half minute the thermometer reads 60° F. What is the reading of the thermometer at t = 1 min? (Roundyour answer to two decimal places.)°FHow long will it take for the thermometer to reach 40° F? (Round your answer to two decimal places.)min

Answered: Image /qna-images/answer/c0dc23cc-be67-4e1d-b3d1-b0b8a815f035.jpg

Answered: A thermometer is removed from a room…

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Exponential And Logarithmic Functions

Section11.CT: Test

Problem 21CT

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Similar questions

Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years. Ifthe city continues to grow at this rate, haw manyyears will it take for the population to reach onemillion?
Compute the following problems. Express the answers to the nearest whole number. Use N=12C3.1416D or 12CD for customary units and N=1000C3.1416D or 1000CD for metric units. An annealed cast iron housing is drilled with a cutting speed of 20 meters per minute using a 22-millimeter diameter carbon steel drill. Find the revolutions per minute.
A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina refrigerator with an internal temperature of 35 .After ten minutes, the internal temperature of thesoda was 63F . Use Newton’s Law of cooling towrite a formula that models this situation. To thenearest degree, what will the temperature of thesoda be after one hour?
Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. A finishing cut is taken on a brass workpiece using a 100-millimeter diameter carbon steel milling cutter. What is the cutting speed when the cutter is run at 86 r/min?
Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN Cast iron, 312 inches in diameter, is turned in a lathe at 270 rpm. Each length of cut is inches and five cuts are required. A carbide tool is fed into the work at 0.015 inch per revolution. What is the total cutting time?
Compute the following problems. Express the answers to the nearest whole number. Use N=12C3.1416D or 12CD for customary units and N=1000C3.1416D or 1000CD for metric units. A high-speed steel milling cutter with a 1.750-inch diameter and a cutting speed of 40 feet per minute is used for a roughing operation on an annealed chromium-nickel steel workpiece. Find the revolutions per minute.

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