A thermometer is taken from a room where the temperature is 20°C to the outdoors, where the temperature is 5°C. After one minute the thermometer reads 12°C. What will the reading on the thermometer be after one more minute?

A thermometer is taken from a room where the temperature is 20°C to the outdoors, where the temperature is 5°C. After one minute the thermometer reads 12°C. What will the reading on the thermometer be after one more minute?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...

See similar textbooks

Related questions

Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

Q: In this exercise, we consider data from the Statistical Abstract of the United States on the…

A: Given that, The fraction of women who reached their fifth anniversary was 0.928. For each year…

Q: A certain forest covers an area of 2100 km2 . Suppose that each year this area decreases by 9% .…

A: ANSWER:

Q: Strontium 90 (Sr-90), a radioactive isotope of strontium, is present in the fallout resulting from…

A: The answer is found in step-2

Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

Q: Match the exponential function with its graph. II 2- III IV (a) f(x) = -2x ---Select- v…

Q: The half-life of a certain radioactive substance is 5 days. There are 28.4 g present initially. a.)…

Q: 3. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: We row that general equation for the radio active decy is M=M0e-kt Where "M0 " is…

Q: Suppose that 50,000 bacteria are in a dish and that the population grows continuously by 4% each…

Q: Strontium 90 (Sr-90), a radioactive isotope of strontium, is present in the fallout resulting from…

A: the amount decreases by (1/2)^nLwhere n is the number of half life yearsso ,(1/2)^n = 1/32solving…

Q: On June 25, 2020, North Carolina reported 1009 new CoVID-19 cases. On July 14th, 2020, North…

Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

Q: Radon-222 has a half-life of 4.00 days. Given its mass 5.937 gram at a certain time, what was the…

A: We will find out the required value.

Q: A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation…

Q: A sample of 600g of radioactive lead-210 decays to polonium-210 according to the function AcT) =…

Q: a function decreases by 5% each year, then the yearly decay factor is?

A: Subtract rate from 1 for decay factor

Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

A: Given query is to find the age of the parchment.

Q: n this exercise, we consider data from the Statistical Abstract of the United States on the fraction…

A: The data show that the fraction of women who reached their fifth anniversary was 0.928. After that,…

Q: What is the third-life of Woosterium-21? That is, find the time it takes a sample of Woosterium-21…

A: Exponential Decay Law A=A0e-kt t - time A - amount of sample after time t A0 - amount of sample at…

Q: A scientist wants to determine the halflife of a certain radioactive substance. She determines that…

A: The half life function is given by: N(t)=N0(0.5)t/t1/2 where N(t) is the final amount in milligrams…

Q: (a) find the value of A and a, correct to 3 decimal places, (b) predict the percentage of…

A: Topic:- exponential function

Q: Radon-222 has a half-life of 4.00 days. Given its mass 3.055 gram at a certain time, what was the…

Q: Scientists can determine the age of ancient objects by themethod of radiocarbon dating. The…

A: Here, we will use the known half-life of C to find the radioactivity after time t. We know that…

Q: The decay constant for carbon-14 is 0.00012, with time measured in years. A piece of papyrus…

A: Decay of any radio active substance follow first kinetics and the equation of first order kinetics…

Q: Diego consumes an energy drink that contains caffeine. After consuming the energy drink, the amount…

A: Given that: Diego consumes an energy drink that contains caffeine. The amount of caffeine in Diego's…

Q: Suppose the amount of Carbon-14 remaining in a sample of 100 milligrams after X years can be…

Q: Radon-222 has a half-life of 4.00 days. Given its mass 2.789 gram at a certain time, what was the…

A: We will find out the required value.

Q: The half-life of radium-226 is 1590 years. (a) If a sample has a mass of 150 mg, find a function…

Q: A radioactive substance has a half life of 175 years. Find the decay constant, r, for this…

A: A radioactive substance has a half life of 175 years

Q: After 4.00 days, a sample of Uranium-237 decays to 66.4% of its original amount. Find: an expression…

A: Given that, After 4 days, a sample of Uranium-237 decays to 66.4% of its original amount.

Q: After 4.00 days, a sample of Uranium-237 decays to 66.4% of its original amount. Find: an expression…

A: Solve the given problem according to the given condition

Q: the number of bacteria in a certain population increases to a continuous exponential growth rate,…

A: NOTE: Refresh your page if you can't see any equations. . the given growth rate is r=6.2%=0.062

Q: A sample of 600g of radioactive lead-210 decays to polonium-210 according to the function AT) =…

A: Topic:- exponential decaying function

Q: In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the…

A: Mass of radioactive sample at the beginning of 10th day is : 74.3 gram.

Q: To ensure that the balls bounce consistently, tennis balls in Wimbledon are stored at exactly 68°F.…

Q: doctor prescribes 100 milligrams of a therapeutic drug that decays by about 20% each hour (ie. after…

A: To determine the half-life of the drug.

Q: For the exponential decay function =y300(0.9)x What is the initial amount of the quantity…

A: Consider the given function is, y=3000.9x Consider the general form of the decay function as,…

Q: 2. After 4.00 days, a sample of Uranium-237 decays to 66.4% of its original amount. Find: an…

A: We will solve the problem

Q: Radon-222 has a half-life of 4.00 days. Given its mass 5.488 gram at a certain time, what was the…

A: Given that, Radon-222 has a half-life of 4.00 days. Given its mass 5.488 gram at a certain time We…

Q: Suppose that a population in a particular city is 46,581 in 2010. What is the population after 15…

A: The population growth is modelled using the equation: N(t)=N01+rt, where N0 is the initial…

Q: The country of Benin in West Africa has a population of 9.05 million people. The population is…

A: We use growth function.

Q: If a function decreases by 7% each year, then the yearly decay factor is what?

A: If a function decreases by 7% each year, then the yearly decay factor is what

Q: Imagine that COVID-19 had spread exponentially in Maine since the first case (on March 12). Using…

Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

Q: trontium-90 is a radioactive isotope that can be produced using nuclear fission, and has a half-life…

Q: A new car is purchased for $19, 000 and over time its value depreciates by one half every 5.5 years.…

A: According to question given that A new car is purchased=$19,000Over time its value depreciates by…

Q: (a) After 20 years, 15% of the initial mass of the radium has decayed. (i) Find the half-life period…

Q: Radon-222 has a half-life of 4.00 days. Given its mass 3.168 gram at a certain time, what was the…

A: We will find out the required solution.

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A thermometer is taken from a room where the temperature is 20°C to the outdoors, where the temperature is 5°C. After one minute the thermometer reads 12°C.

What will the reading on the thermometer be after one more minute?

(could you give decay function)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?
Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?
The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.
Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?