differential equations and their applications. please show work If a population of fruit flies triples every 6 days. What is k, the proportionalityconstant?

The population growth is defined by the exponential equation, , where k is the proportionality…

Answered: If a population of fruit flies triples…

Math

Advanced Math

If a population of fruit flies triples every 6 days. What is k, the proportionality constant?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 8E

See similar textbooks

Related questions

Q: 2. A tank contains 2,000 liters of brine. Brine containing 5N/liter of salt flows in at 10…

A: We will find out the initial concentration of the salt for the given problem.

Q: An air conditioner manufacturer recommends that its portable units provide between 4 and 6 BTUS of…

A: Given that portable units provide between 4 and 6 BTU colling per cubic foot to operate most…

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

A: Given- The population of a state is known to grow at a rate proportional to the number of people…

Q: The population of Harford County was 238,145 in 2005 and 249,558 in 2015. A) assuming the growth was…

A: Topic-basic maths

Q: VoWiFIa ll O 91% 3:15 A certain population of bacteria is known to grow at a rate proportional to…

Q: Assume that the population of the greater roadrunner in the Guadelope Desert was 250 per hectare at…

Q: By natural increase, a city whose population is 40,000 will double in 50 yrs. There is a net…

A: This question is related to population growth, We will solve it using given information.

Q: A 200 gal tank is half full of distilled water. At time = 0, a solution containing 1 Ib/gal of…

A: given capacity of tank =200 gal concentration =1 lb/gal rate of enter =4 gal/min rate of withdrawn…

Q: A) Of 2000 people exposed to a virus, 1000 get the disease caused by that virus and 200 die. What is…

A: I have solved First Question according to bartleby guideline, please provide the question 2…

Q: Consider the constant rate of decrease of a certain microorganism. At the start, there are 10 000…

A: Let's find.

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

Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. If…

Q: Test graphically if the data suppport the proportionality: y proportional to x3

A: Given data is x 1 1.5 2 2.5 3 y 0.4 1.7 3.9 7.7 13.6

Q: The principle of redundancy is used when system reliability is improved through redundant or backup…

A: Given multiple events, the probability of these events happening simultaneously is simply obtained…

Q: 12. If a substance decomposes at a rate proportional to the amount of the substance present, and the…

Q: In a city with 500,000 population, the rate of the spread of a new flu epidemic is proportional to…

A: Let the number of infected people at time t be: P Therefore: dPdt=kP(500000-P)

Q: The population of a certain country is known to increase at a rate proportional to the number of…

A: Consider the provided information, We assume that rate of change of amount of substance is…

Q: 4. An average adult person has 100 billion brain cells. During very strenuous mental activity e.g.…

Q: In an laboratory, a culture of N strands of bacteria is analyzed. It is found out that the rate of…

A: topic - exponential function

Q: A certain user of a social networking site has 1000 peers online today. Two of his peers spread a…

A: xt = number of peers who received and sent letters at time t hours1000 = total number of peersx't…

Q: Suppose that a population of alligators has a constant death rate and birth rate proportional toP.…

A: Suppose that a population of alligators has a constant death rate and birth rate proportional to P.…

Q: In a community in which R elderly people and people with comorbidities are susceptible to a…

A: To determine the percent of susceptible that had been infected after 6 weeks.

Q: If a small country with a demand of P= 80 - 2Q and a supply of P = 40 + 2Q decides to provide an…

A: We can rewrite the demand and supply equations in terms of P. So our demand equation becomes Q =…

Q: The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone,…

A: Given problem Given that

Q: A population of a small city had 3000 people in the year 2000 and has grown at a rate proportional…

A: In this question, we will use growth topic of differential equations.

Q: 3 In a community in which R elderly people and people with comorbidities are susceptible to a…

Q: 2. From Wikipedia, the number of people on Earth in the years 1970, 1980, and 1990 was 3710 million,…

A: Consider the provided question, Year Population In million1970…

Q: Under certain water conditions, the free chlorine (hypochlorous acid, HOCI) in a swimming pool…

A: According to the decay law/uninhibited decay law: A=A0 ek·t, where A0 is the initial amount. Given:…

Q: What is the constant of proportionality?

A: Let there are two variables x and y. If the values of y is equals to ax where a is a constant. Then…

Q: he population of a certain state is known to grow at a rate proportional to the number of people…

A: Given: The population of a certain state is known to grow at a rate proportional to the numberof…

Q: If a substance decomposes at a rate proportional to the amount of the substance present, and the…

Q: Due to the large number of human tourists and a declining food supply, the blue-footed booby…

A: a) Given that the half-life = 13.7 years So the fraction of the booby population that will remain in…

Q: The legs of an elephant are much thicker in proportion to its body than the legs of a mouse. This is…

Q: The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone,…

A: Solve the given problem

Q: If tax revenue per capita (M) increases by 10, what will happen to the estimated quantity of cement…

A: Let the fitted line be yi^=a0^+a1^x1i+a2^x2i+a3^x3i.Then, ∂yi^∂x1i=a1^ ∂yi^∂x2i=a2^…

Q: The number of children in a church is increasing at a rate that is proportional to the number of…

A: We will find the number of children after 5 years as following.

Q: A firm is most likely to engage in horizontal FDI, as opposed to exporting, when trade costs are and…

A: Topic:- algebra

Q: If the world's population grows at a rate proportional to the present population and it is recorded…

A: 20 billion population reached in 2121. Hence correct option is second one. For details calculation…

Q: The Population of Barangay Siksikan is increasing at a rate proportional to its current population.…

A: ⁎ Given: The population of Barangay Siksikan i.e, increasing at a rate proportional to…

Q: * Sugar dissolves in water at a rate proportional to the amount still undissolved. If there were 70…

Q: An investor wants to invest $30,000 in corporate bonds that are rated AAA, A, and B. The lower rated…

A: given total investment=$30000 rate of interest for 3 different bonds AAA=5% A=6% B=10% We need to…

Q: The population of a bacteria increases at a rate proportional to the present number of bacteria ‘P0’…

A: Given problem is : The population of a bacteria increases at a rate proportional to the present…

Q: What is the constant of proportionality?

A: Here, there is a proportional relationship between the two variables ,i.e., the variables increases…

Q: 2. The population of a city grows from a initial size of 1000,

Q: What does it mean if two quantities vary directly?

A: What does it mean if two quantities vary directly?

Q: 12. If a substance decomposes at a rate proportional to the amount of the substance present, and the…

Q: Alan, Hannah, and Carolyn start a business agd invest $9000, $3000 and $6000 respectively. After a…

A: Given that Investment of Alan=$9000 Investment of Hannah=$3000 Investment of Carolyn=$6000 To find…

Q: ) Suppose false news spreads in a city of 150,000 in a day. Within a week, 15000 residents hear ne…

A: Solution The total population of the city is 150, 000. Let the number of people who have heard the…

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

differential equations and their applications. please show work

If a population of fruit flies triples every 6 days. What is k, the proportionality
constant?

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 5 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, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

What is the total effect on the economy of a government tax rebate of $1,000 to each household in order to stimulate the economy if each household will spend 90% of the rebate in goods and services?
A tabletop is semicircular when its three congruent drop-leaves are used. By how much has the tables area increased when the drop leaves shaded area increased. Give the answer to the nearest whole percent.
Suppose that a population of alligators has a constant death rate and birth rate proportional toP. If, initially there are 110 alligators, and alligators are dying at a rate of12 per year and being born at a rate of 11 per year initially: (a) What is the threshold population? (b) How long will it take until there are only 11 alligators left? Answer asap
What is the constant of proportionality?
What does the fish population of the lake approach in the long run?
Where is the constant of proportionality on the graph?
Consider the data sets below, determine if it is reasonable to assume that y is proportionalto x. If it is, approximate the constant of proportionality. If it is not, describe why thisassumption is not reasonable.
College instructors who adopt this book are (we hope!) twice as likely to continue to use the book the following year as they are to drop it, whereas nonusers are four times as likely to remain nonusers the following year as they are to adopt this book In the long term, what proportion of college instructors will be users of this book?
The following table shows the cost of downloading songs from iTunes. What is the constant of proportionality between the total cost and the number of songs?
The chart below gives price and fuel efficiency for the Ford Escape, a small SUVs with conventional or hybrid engines from a web search on February 21, 2022. Car Model Price Average Mileage (mpg) Ford Escape S model (conventional) $26,510 28 city/ 34 highway Ford Escape SE (hybrid) $29,170 44 city/ 37 highway What is the annual cost to drive the conventional Ford Escape for 10,000 miles (5,000 city driving and 5,000 highway) if gas costs $3.57 per gallon? What is the annual cost to drive the hybrid model Ford Escape for 10,000 miles (5,000 city driving and 5,000 highway) if gas costs $3.57 per gallon? How much money would you save annually if you bought the hybrid model instead of the conventional Ford Escape, assuming you drove 10,000 miles each year? How many years of driving the more fuel-efficient hybrid would it take for you to make up difference in its higher sticker price over the price of the conventional model?