A certain type of bacteria has a doubling time of 25 minutes. If we start with a colony of 10, 000 organisms, how many will we have after 120 minutes? 2.

Q: A scientist has discovered a new strain of bacteria. The bacteria culture initially contained 1,000…

A: Given problem:- A scientist has discovered a new strain of bacteria. The bacteria culture initially…

Q: -. If one bacteria doubles every 45 mins, how many bacteria will be present after half a day?

A: We will find out the required value.

Q: Spaceship B: Miles covered 300,000 500,000 Time taken (in hours) 12 Will it be able to reach Mars…

A: Let's find.

Q: Assume a substance has a half-life of 10 years and the initial amount is 131 grams. How much remains…

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Q: If Sandago has a present population of 70,000,and the population is increasing by 3% each year.…

A: First we construct the function for population for  some year t

Q: The half-life of the radioactive element unobtanium-29 is 20 seconds. If 80 grams of unobtanium-29…

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Q: On average, a person devotes 34 years to sleeping and watching tv. The number of years sleeping will…

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Q: The half-life of the radioactive element unobtanium-29 is 10 seconds. If 80 grams of unobtanium-29…

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Q: The bacteria in an 11-liter container double every 2 minutes. After 50 minutes the container is…

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Q: A bacteria culture starts with 3000 bacteria and grows to 50,000 in 3 hours. a) What is the doubling…

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Q: A city's population is currently 29,000 and is growing by 3.9% each year. If this continues, in how…

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Q: Suppose Elizabeth takes a 700 mg dose of ibuprofen and every hour that passes the amount of…

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Q: The count in a bateria culture was initially 300, and after 35 minutes the population had increased…

A: Given  Initially the count in a bacteria culture = 300 after 35 minutes the population had increased…

Q: The current population of a threatened animal species is 1.7 million, but it is declining with a…

A: Given:  The current population of a threatened animal species is 1.7 million, but it is declining…

Q: A tennis lesson lasts from 9:00 a.m. to 10:00 a.m., and should include an 8-min break with equal…

A: The lesson starts from 9:00 Am and ends at 10:00AM. So, the session lasts for 1 hour or 60 minutes.

Q: town has a population of 15,000 and grows at 7% every year. What will be the population after 10…

A: Explanation of the answer is as follows

Q: 1. If you have 100 grams of a radioactive isotope with a half-life of 10 years: a. How much of the…

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Q: 1. If 25% of a radioactive substance disappeared in 10 years, how long did it take for 60% of the…

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Q: Lead-210 has a half-life of 22.3 years. How much of a 102-mg sample would be remaining after 6 years

A: To solve such problem we use the following two equations K=0.693t12 N=N0e−Kt Given that T12=22.3…

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: Given information: Initial amount=Q0=7 mgHalf life=t12=5730 years

Q: If a pathogen spreads at .01 per day in a population if unchecked. In how many days will the number…

A: Consider the provided question, Given, World population P0 = 6 billion Birth rate - death rate =…

Q: A sample of radium has a weight of 1.5 mg and a half life of approximately 6 years. How much of the…

A: Given Data: The weight of the sample of radium is: W=1.5 mg The approximate half-life of the sample…

Q: Suppose that in any given year the number of cases can be reduced by 25% instead of 20%. a. How long…

A: Hey the given problem is solved by considering the initial number of cases to be 10000.

Q: A total of $17500 is invested, part of it at 7.25% and the rest at 6.5%. Thetotal interest after one…

A: Let $x was invested in 7.25% and (17500-x) in 6.5%  So total interest earned is: 7.25% of x + 6.5%…

Q: Perhaps the most intuitive way to compare how fast different populations are growing is to calculate…

A: Let t measure years after 1990 and p measures the population.

Q: The population of Bunny Kingdom is monitored by a bunny enthusiast, who notices that the population…

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Q: If the population of a small city is 35,000. If the immigration laws allow population to grow by…

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Q: The initial population of Sim City is 103 residents, and it grows with a doubling time of 2 hours.…

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Q: The current population of a threatened animal species is 1.9 million, but it is declining with a…

A: Given that the population of a threatened animal species is 1.9 million , that is 1,900,000 , but it…

Q: A certain type of material doubles every 480 minutes a culture begins with 30,000 bacteria how many…

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Q: town has a population of 14000 and grows at 3% every year. What will be the population after 6…

A: Population grows 3% every year    N0=14000    Formula used. N0    = Present Value of population r…

Q: How many years will it take a $766 investment to be worth $1,123 if it continuously compound at 6%…

A: Given Data: The initial investment is: P=$766 The final worth is:Pt=$1123 The continuously…

Q: In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the…

A: To Determine: How long would it take to bacteria to reach a number of 10500. Given: Bacteria is able…

Q: ou have 5,280 grams of a radioactive kind of tin. How much will be left after 516 days if its…

A: ln e=1 ln ab= b ln a

Q: If 12g of a radioactive substance are present initially and 9yr later only 6g​ remain, how much of…

A: As half the amount of the radioactive substance left after 9 years, thus it is clear that half-life…

Q: A tree is 4 1/2 feet tall, it grows 1 3/4 feet every year. How many years is it going to take the…

A: Given Height of tree = 412=92ft Height grows every year= 134=74ft To find number of years in which…

Q: 7. A deadly bacteria doubles in size every 3 hours. If there were initially 14 spores present, how…

A: Let P(t) be the population of bacteria after t hours. To obtain P(t), substitute 14 for P0 in the…

Q: We have 25 days of school left how many weeks of school is that?

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Q: A town has a population of 12000 and grows at 4% every year. To the nearest year, how long will it…

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Q: How much of a 102-mg sample would be remaining after 7 years? b) If the half-life were shorter than…

A: In this question, we use the application of differential equation to calculate the amount of lead…

Q: How many days would it take to breathe one billion times if you were breathing at a rate of 12 times…

A: 1 billion times =100 crores

Q: A bacteria doubles every 12 minutes.  If we started with 10 bacteria how many will we have after 30…

A: A bacteria doubles every 12 minutes and we started with 10 bacteria.We have to find how many…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Radioactivity equation is given by,           N =NO e-λt  where, NO = Initial quantity…

Q: If Sandago has a present population of 70,000, and the population is increasing by 3% each year.…

A:

Q: A person with a normal body temperature of 36 °C dies in an accident while traveling by car. The…

A: A person with a normal body temperature of 36 °C dies in an accident while traveling by car. The…

Q: A town has a population of 12000 and grows at 4% every year. To the nearest year, how long will it…

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Q: If the population of a small city is 55,000. If the immigration laws allow population to grow by…

A: Let's say P represents the population and t represents the time in year.Hence, dP / dt = 900Hence,…

Q: The population of Mickey Village is 48,000 today.  Every other year the population increases by…

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Q: The doubling time of a population of flies is 20 days.  If there are initially 250 flies, how many…

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Q: Scenario: A population of 30 mice is expected to double each year. The number p of mice in the…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.