Certain bacteria cells are being observed in an experiment. The population triples in 1 hour. If at the end of 3 hours, the population is 27000, how many bacteria cells were present at the start of the experiment? After how many hours, approximately, will the number of cells reach 1 million?

Q: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6…

A: Speed - Distance/Time For person (P1) speed = 10 m/s For person (P2), speed = 6m/s   P2 has a…

Q: Suppose that a colony of bacteria starts with 1 bacterium and doubles in number every half hour. How…

A: To determine the number bacteria at the end of 24 hours.

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…

A:

Q: Suppose that a university had an enrollment of 9000 students in 1991 and each year thereafter…

A: The initial number of students in 1991 is 9000. It is given that every year the students increase by…

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Q: How many workers will be needed to complete a task in 8 days, given that 4 workers can complete the…

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Q: According to statistics, a person will devote 34 years to sleeping and watching TV. The number of…

A:

Q: If the number of bacteria in a colony doubles every 157 minutes and there is currently a population…

A: This problem can be solved without deriving any general formula

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: When eight (8) machines are running, the daily production can be completed in six (6) hours. If two…

A: Given that 8 machines are running, the daily production can be completed in 6 hours.

Q: There is a population of 65 bacteria in a colony. If the number of bacteria doubles every 484…

A:

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: Deanna can finish a certain job in 10 days. Jessica can finish the same job in 14 days. If Deanna…

A:

Q: In a game, each player must relay the same message to two persons in a minute. Starting off with the…

A:

Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: We will find the possible age of Rojana and AJ in the following step.

Q: A scientist observed that a certain species of bacteria grew by 18% each hour. How many bacteria…

A: Given that a certain species grew by 18% each hour. To find the number of bacteria present after 5…

Q: Cheen is now fives times as old as Monokuma was 5 years ago. If the sum of Monokuma’s and Cheen’s…

A: GIVEN: Cheen is 5 times old as Monokuma was 5 years ago.               sum of Monokuma’s and Cheen’s…

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 lab is studying two different bacteria. Bacteria A has an initial count of 35 and is doubling…

A: The exponential growth is represented as f(t)=art, where f(t) is the amount at any time t and a is…

Q: According to statistics, a person will devote 30 years to sleeping and watching TV. The number of…

A: Let x=the number of years of sleeping y=the number of years of watching TV   According to the…

Q: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are…

A: Given: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old…

Q: According to statistics, a person will devote 34 years to sleeping and watching TV. The number of…

A: Given,  A person will devote 34 years to sleeping and watching TV.  The number of years sleeping…

Q: A population of 10 hamsters will triple every year. What will be the population after 7 years?…

A: Given: A population of 10 hamsters will triple every year…

Q: When a number is decreased by 20% of itself, the result is 20. What is the number?

A: Let x be the number. Given that x is decreased by 20%. Then, 80% of x is left which can be written…

Q: In a basketball league consisting of 12 teams, each team plays each of the other teams exactly…

A: Let's do the calculation if the teams play exactly one game with each team. In this case number of…

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: An additional radio satellite dish is being added to an array of dishes. This newly added dish is 2…

A: Age of old dish = x+2 Age of new dish = x

Q: According to​ statistics, a person will devote 3131 years to sleeping and watching TV. The number of…

A:

Q: The bacteria in a petri dish grow in a manner such that each day the number of bacteria doubles. On…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: a town has a population of 18000 and grows at 2% every year. what will be the population after 11…

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Q: Andrea is 3 times as old as Pauline, 10 years from now Andrea will be twice as old as Pauline, How…

A: Let the present age of Pauline be x. Andrea is 3 times as old as Pauline. Therefore the age of…

Q: Sally is 3 times as old as John. 8 years from now, Sally will be twice as old as John. How old is…

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Q: An auditorium will be constructed in such a way that there will be 20 rows of steel seats with 24…

A: An auditorium will be constructed in such a way that there will be 20 rows of steel seats with 24…

Q: Two cars are driven at a constant speed on a test circuit. One makes a complete circuit in 84…

A:

Q: A woman is twice as old as her daughter. Twenty years ago, she was four times as old as her…

A: The objective of the question is determine the age of the woman and her daughter.

Q: Janes mother is 3 times as old as Jane, and in 16 years from now she will be twice as old as Jane is…

A:

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: A volleyball league consisting of 15 teams, each team plays each of the other teams exactly twice.…

A: Total teams =15  To find the league games will be played

Q: A man is three times as old as his son five years ago; he was five times as old as his son was at…

A:

Q: The number of people infected with coronavirus doubles every 3.0 days. How many days does it take…

A: Given that the number of people infected with coronavirus doubles every 3.0 days.

Q: A mother is now three times as old as her daughter. In 4 years, the mother will be four times as old…

A: Let Mother's age now is M years Daughter's age is D years Given mother is now three times as old as…

Q: Suppose that the number of bacteria in a colony triples every hour If 100 bacteria are used to begin…

A: Given: 100 bacteria  time =10 hours

Q: A father is three times as old as his son, and his daughter is 3 years younger than the son. If the…

A: given A father is three times as old as his son, and his daughter is 3 years younger than the son.…

Q: In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number…

A: Given :In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the…

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: Two cars travel toward each other from cities that are 427 miles apart at rates of 64 mph and 58…

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Q: If the number of bacteria in a colony doubles every 4 minutes and there is currently a population of…

A: Explanation and solution is given below....

Q: According to statistics, a person will devote 31 years to sleeping and watching TV. The number of…

A: To find: The number of years will the person spend on each of these activities. Given information: 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.