A bacteria culture initially contains 1500 bacteria and doubles every half hour. What will the size of the bacterial population after 40 minutes? Find the size of the bacterial population after 7 hours?

A bacteria culture initially contains 1500 bacteria and doubles every half hour. What will the size of the bacterial population after 40 minutes? Find the size of the bacterial population after 7 hours?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Equations, Inequalities, And Mathematical Modeling

Section: Chapter Questions

Problem 22T: On the first part of a 350-kilometer trip, a salesperson travels 2 hours and 15 minutes at an...

See similar textbooks

Related questions

Q: A bacteria culture initially contains 1200 organisms and doubles in size every 2.3 hours. How large…

Q: Brandy can frame a room in 1 hour, while Jake takes 4 hours. How long could they frame a room…

A: suppose they take n hours to frame a room. therefore according to question n(11+14)=1

Q: A painter can do his job in 6 hours, while his helper can do the same job in 9 hours. After the…

A: Given- A painter can do his job in 6 hours, while his helper can do the same job in 9 hours. After…

Q: Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5…

Q: A garden hose can fill a swimming pool in 7 days, and a larger hose can fill the pool in 2 days. How…

A: We have to calculate first the fraction of pool filled by both hoses in 1 day. Then, time taken by…

Q: The number of bacteria doubles each day. How many bacteria will a sample have after 13 days if it…

A: We have to find how many bacteria will a sample have after 13 days if it starts with 40 bacteria.

Q: The population of a city decreases by 3.4% per year. If this year’s population is 204,000 what will…

Q: One inlet pipe can fill an empty pool in 8 hours, and a drain can empty the pool in 12 hours. How…

Q: Mike, an experienced bricklayer , can build a wall in 2 hours, while his son, who is learning , can…

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

A: Introduction: Recurrence relation is very important in discrete mathematics. It relates a term with…

Q: A man takes 40 mg of a certain medicine. Each hour, the amount of medicine in the man's system…

Q: Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take…

A: We have to find

Q: The length of a rectangle is 7 inches greater than its width. If its length is increased by 2…

Q: A homeowner estimates that it will take him 9 days to roof his house. A professional roofer…

A: Solution : According to the question ; Let, t = The amount of time to do the job…

Q: Certain microorganism doubles every 2 hours. If initially, 280 bacteria of this kind are in the…

A: Given: The microorganism doubles every 2 hour. The number of bacteria at the start is 280. Concept…

Q: The number of participants in the orientation program doubles in size each day and it covers an…

A: Topic = Algebra

Q: A student can finish a project 15 minutes earlier than the other student. How long will it take them…

Q: A tennis player uses up 800 calories every hour. In 1 hour and 15 minutes, how many calories does…

Q: John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take…

A: John can mow the lawn in 3 hours. So in 1 hour he can mow 1/3 of the lawn Julie can mow the lawn…

Q: A solution containing an 8% concentration of acid is mixed with a solution containing a 5%…

A: Let the concentrations of acid and the volume of both the solutions, the volume of the mix of…

Q: A garden hose can fill a swimming pool in 8 days, and a larger hose can fill the pool in 3 days. How…

Q: There is a population of 18 bacteria in a colony. If the number of bacteria doubles every 177 hours,…

A: This is an exponential growth problem: A0ertGiven intital bacteria=18Given the bacteria dobules so…

Q: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Find the size of…

A: Population model

Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

Q: If two cats eat a kilogram of cat food in 4 days, how long will it take for 5 cats to eat 25kg of…

Q: When doctors prescribe medicine, they must consider how much the drug's effectiveness will descrease…

A: exponential decay can be represent as below : where, N0=initial calue = 250 mgr= decay factor =…

Q: The bacteria of a culture starts with 200 bacteria and triples in size every half hour. After 2…

Q: sor working alone?

A: The postal worker (PW) takes 8 hours to do work alone. That means PW does (1/8) work in 1 hour Let's…

Q: Two carpenters can build 12 tables in one day working separately. At this rate, how many tables can…

Q: A bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of…

Q: A population of bacteria doubles every 2.79 hours. How long would it take for the bacteria to…

Q: A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many…

Q: A tub can be filled in 10 minutes and drained in 8 minutes. How long will it take to empty a full…

A: Let's find.

Q: The volume of one of the Great Lakes is 3.5 x 103 cubic kilometers. If there are 6.3 x 107 fish in…

A: Given that The volume of one of the Great Lakes is 3.5 x 10^3 cubic kilometers. And number of fish…

Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

A: Here the bacteria culture initially contains 3000 bacteria and doubles every half hour.We have to…

Q: A lab technician cuts a 12 inch piece off tubing into two pieces in such a way that one piece is 2…

Q: An airplane averages 150 mph. If a trip from Atlanta to Charleston takes 2 hours 48 minutes going…

A: Given Speed of airplane=150 mph Time taken by airplane against wind t1=2.8 hours Time taken by…

Q: One custodian cleans a suite of offices in 5 hours. When a second worker is asked to join the…

A: Given 1 custodian cleans a suite of offices in 5 hours. When a second worker is asked to join the…

Q: mike, an experienced bricklayer, can build a wall in 3 hours, while his son, who is learning, can do…

A: Given: The experienced bricklayer can build a wall in 3 hours. His son can do the job in 6 hours

Q: The lifespan of a hamster is 6 years less than that of a giraffe. The lifespan of a puma is 4 times…

A: Consider the lifespan of hamster, giraffe and puma be h, g and p respectively. Lifespan of hamster…

Q: In one of the laboratories, it conducted an experiment on 900 insects to prove the effectiveness of…

A: x = input("Enter no.of insects died in first hour : ")n = 7;f = 900;while n >= 1 n = n-1;…

Q: A culture of bacteria doubles every 2 hours. If there are 500 bacteria at the beginning, how many…

A: The initial population, P0=500Time of growth, t=24 hourstime of doubling, d=2 hours

Q: The number of insects attracted to bright light is currently 8. If the number is expected to…

A: Lets say initial quantity is A0 =8

Q: A lightbulb consumes 3600 watt-hours per day. How long does it take to consume 20700 watt-hours?

Q: A car travels an average speed of 68 miles per hour. How many miles does it travel in 5 hours and 15…

Q: Platinum is valued at $1500 per ounce. If its value goes up 10% per year for the next 2 years,…

Q: A jeep drove 135 miles on a paved road at a constant speed. It then decreased its speed by 25 miles…

A: Let the speed of jeep on paved road be x. The distance traveled on paved road is 135 miles. The time…

Q: the sum of a number and 12 times its reciporcal is 8. find the number(s).

A: Given:Sum of a number and 12 times its reciprocal is 8.

Q: A bus travels 180 miles in 3 hours, how far does the bus travel in hourly? How far can the bus go in…

Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of…

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 bacteria culture initially contains 1500 bacteria and doubles every half hour.

What will the size of the bacterial population after 40 minutes?

Find the size of the bacterial population after 7 hours?

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

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, statistics and related others by exploring similar questions and additional content below.

Similar questions

One gardener can mow a golf course in 4 hours, while another gardener can mow the same golf course in 6 hours. How long would it take if the two gardeners worked together to mow the golf course?
Mike, an experienced bricklayer, can build a wall in 3 hours, while his son, who is learning, can do the job in 6 hours. How long does it take for them to build a wall together?
Mia can clean her apartment in 6 hours while her roommate can clean the apartment in 5 hours. If they work together, how long would it take them to clean the apartment?
Brian can lay a slab of concrete in 6 hours, while Greg can do it in 4 hours. If Brian and Greg work together, how long will it take?
It takes Sam 4 hours to rake the front lawn while his brother, Dave, can rake the lawn in 2 hours. How long will it take them to rake the lawn working together?
Ronald can shovel the driveway in 4 hours, but if his brother Donald helps it would take 2 hours. How long would it take Donald to shovel the driveway alone?
A crime-scene investigator has 3.4 ounces of a sample. He needs to conduct four tests that each require 0.6 ounces of the sample, and one test that requires 0.8 ounces of the sample. How much of the sample remains after he uses it for the five tests?
On the first part of a 350-kilometer trip, a salesperson travels 2 hours and 15 minutes at an average speed of 100 kilometers per hour. The salesperson needs to arrive at the destination in another hour and 20 minutes. Find the average speed required for the remainder of the trip.