A wet towel hung on a clothesline to dry outside loses moisture at a rate proportional to its moisture content. After 5 hour, the towel has lost 10% of its original moisture content. After how long will the towel have lost 70% of its moisture content?

A wet towel hung on a clothesline to dry outside loses moisture at a rate proportional to its moisture content. After 5 hour, the towel has lost 10% of its original moisture content. After how long will the towel have lost 70% of its moisture content?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...

See similar textbooks

Related questions

Q: A mold grows at a rate proportional to its present size. Initially there is 2 oz of this mold, and…

A: Let size of mold at time t is yt then according to given condition dydt α yt⇒dydt=kyt where k is…

Q: The number of insects in a colony is known to multiply at a rate proportional to the number of…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: GIven: Altitude is increasing at a rate of 1 cm/min Area is increasing at a rate of 4.5 sq. cm/min…

Q: The rate at which bacteria multiply is proportional to the instantanous N numbers present. If the…

Q: Initially 50 grams of radioactive substance was present. After 6 hours the mass had decreased by 9%.…

Q: 2. In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Solution is given below:

Q: he amount of a certain radioactive substance decreases by 15% every hour. If a sample starts with…

Q: Suppose that the concentration of a bacteria sample is 60,000 bacteria per miliditer. f the…

Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth…

Q: Initially 56 grams of radioactive substance was present. After 8 hours the mass had decreased by 6%.…

A: Let's find.

Q: oil

A: We will find how much oil is left in the rank after 3 hours.

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

Q: The altitude of a triangle is increasing at a rate of 3 cm/minute while the area of the triangle is…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: Let height of triangle = h Base = b Then, we are given that:

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Here we use the formula of area of triangle. First we differentiate area with respect to time and…

Q: In the absence of predators the population of mosquitos in a certain area would inccrease at a rate…

A: Let P(t) be the population of mosquitoes in the area with t in weeks, and k be the rate at whichthey…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: Let h be the altitude, b be the base and A be the area of the triangle at any time t. Given that,…

Q: The population of a certain municipality increases at the rate proportional to the present…

A: Here we solve the given population growth problem.

Q: A swimming pool is nearly empty, holding only 5100 gallons of water. A system is set up so that…

A: The number of gallons p in the pool after x hours can be written as: p(x)=5100×1.17x Take the…

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

Q: An airplane at an altitude of 35,000 feet begins descending at a rate of 2,000 feet per minute. How…

Q: A bacteria decreases at a rate of 15% continuously when exposed to ultraviolent light. If a culture…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

Q: Initially 42 grams of radioactive substance was present. After 5 hours the mass had decreased by 8%.…

A: Initial mass of radioactive substance is equals to 42 g after five hours mass is decreased by 8%

Q: In the first few weeks after birth, a baby gains weight at a rate proportional to its weight. A baby…

A: Introduction: Differential Equation packages are beneficial in each educational and realistic…

Q: The rate of decomposition of radioactive radium is proportional to the amount present at any time.…

A: The rate of decomposition is proportional to y, we know that y=Cekt, where t is the time in years.…

Q: In a certain culture of bacteria, the rate of increase is proportional to the number present. (a) If…

A: In a certain culture of bacteria, the rate of increase is proportional to the number present. We…

Q: The humidity is currently 55% and falling at a rate of 4 percentage points per hour. (a) Estimate…

Q: In a certain bacteria culture the rate of increase in a number of bacteria is proportional to the…

A: Follow the steps below to solve a differential equation(in terms of x and y) by the variable…

Q: A wet towel hung from a clothesline to dry loses moisture through evap-oration at a rate…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

Q: The population of Tagum City is increasing at the rate proportional to its current population. In…

Q: The population of a district in a town is known to increase at a rate proportional to the number of…

A: We will find out the required initial population of the state .

Q: The growth rate of a culture of bacteria is proportional to the number of bacteria present and after…

Q: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

Q: The number of bacteria in a liquid culture is observed to grow at a rate proportional to the number…

A: We know that at the beginning of the experiment, number of cells = 104 After 3 hours of the…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

Q: A mold grows at a rate proportional to its present size. If the original amount doubles in one day,…

Q: Initially 53 grams of radioactive substance was present. After 6 hours the mass had decreased by 6%.…

Q: The growth rate of a bacteria culture is proportional to the number of bacteria present. If a…

Q: During a research experiment, it was found that the number of bacteria in a culture grew at a rate…

Q: In a chemical reaction, a certain compound changes into another compound at a rate proportional to…

A: Let y be the unconverted amount of substance A at time t. Thus, the given information can be written…

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 66°C, it…

Q: Initially 48 grams of radioactive substance was present. After 6 hours the mass had decreased by…

Q: Initially 87 grams of radioactive substance was present. After 3 hours the mass had decreased by 6%.…

A: We know that the differential equation of the decaydAdt=kAwhere A = amount and k = proportionality…

Q: A 30 m³ tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of…

A: Volume of the tank is 30 m3 The tank is full of brine with 40 kg of dissolved salt. Pure water…

Q: A puppy weighs 2.0 lb at birth and 3.5 lb 2 months later. If the weight of the puppy during its…

Q: 1. After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is…

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 wet towel hung on a clothesline to dry outside loses moisture at a
rate proportional to its moisture content. After 5 hour, the towel has lost 10% of its original moisture content. After how long will the towel have lost 70% of its moisture content?

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

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 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 half-life of a radioactive material is about 34.2 years. How much of the material is left after 20 years?
The half-life of magnesium-27 is 9.45 minutes. How much of a 10-mg sample will be left in 6 minutes?
The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?
Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 hours. At this rate of growth, how many bacteria will there be 24 hours from the start of the experiment?
In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2014, Los Angeles also experienced an earthquake which measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes.
Hector invests $10,000 at age 21. He hopes the investments will be worth when he turns 50. If the interest compounds continuously, approximately what rate of growth Will he need to achieve his goal?
Another researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of a bacteria. She starts his experiment with 50 of the bacteria that grows at a rate of 15% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours?