In a certain culture of bacteria, the number of bacteria increased sixfold in 10 h. How long did it take for the population to double?

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A: Given,The half-life of Radium-226 is 1590 years. i.e., h=1590A sample contains 200 mg.…

Q: A certain radioactive substance has a half-life of 38 hr. Find how long it takes for 80% of the…

A: Given that: Half life, t1/2=38 hr

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: The population of a city was at 6,000 people in 2001. If the population grows at a rate of 1.7% each…

A: Given the population city was 6000 people in 2001. If population grows at a rate of 1.7% each year.…

Q: The half-life of a radioactive substance is 15 days. If we started with 20 g, how much of the…

A:

Q: The radioactive element polonium-210 has a half-life of 138 days. If you have 100 micrograms of…

A: The half-life equation for radioactive decay is:

Q: An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500mg, how many mg will remain after…

A:

Q: Given that the half-life of radium is 1690 years, how much in milligrams will remain of one gram of…

A:

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

A:

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 new water pump has a capacity of 60 m³/day. If its capacity goes down by 15% every year, in how…

A:

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

A:

Q: Researchers recorded that a certain bacteria population declined from 290,000 to 300 in 24 hours. At…

A: Bacteria in 16 hours=?

Q: An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining…

A: Given that, The mass of the element is 970 grams, which decays by 27.7% per minute. To find: How…

Q: This year there were 3,000 new births in a county, but new births are expected to grow at a rate of…

A: This year there were 3,000 new births in a county, but new births are expected to grow at a rate of…

Q: A hospital prepares a 200 mg supply of molybdenum-99 which has a half-life of 66 hours. How much…

A:

Q: One earthquake has magnitude 3.9 on the MMS. If a second earthquake has 600 times as much energy as…

A: The expression to calculate the magnitude of the earthquake is, M=23 log10EE0⋯⋯⋯1 Given, the first…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

Q: The half-life of radium is 1620 years. If a laboratory has 12g of radium, how long will it take…

A:

Q: An isotope of cesium has a half life of 29 years. If 1300 grams of cesium disintegrates over a…

A:

Q: You have 1,352 grams of a radioactive kind of neptunium. How much will be left after 130 minutes if…

A: We have to find

Q: The half life of a certain isotope is 8.5 hours. If we have a sample of 10 ounces of that isotope,…

A: Consider the following information: Half life periodt12=8.5 hours Decay constantλ=ln2t12=ln28.5…

Q: IF 8G OF RADIOACTIVE SUBSTANCE ARE PRESENT INITIALLY AND 4 YR LATER ONLY 4G REMAIN HOW MUCH OF THE…

A:

Q: The current population of a small town is 4,700 and is declining at a rate of 1.7% a year what will…

A: The general form that represents the exponential decay is as follows. Pt=P01-rtPt is the population…

Q: In a certain culture of bacteria, the number of bacteria increased sixfold in 10h. How long did it…

A:

Q: The bacteria in a 4-liter container double every minute.After 60 minutes the container is full. How…

A: The bacteria get double every minute;                             After…

Q: The half-life of a substance is 24 hours. About how many hours will it take for 6 grams to decay to…

A: SOLUTION

Q: A nurse gives a patient 800 mg of medicine at 10:00 a.m. If the half life of the medicine is 3…

A:

Q: A small metal bar, whose initial temperature was 20° C, is dropped into a large container of boiling…

A:

Q: The half-life of lodine-131 is 8 days. How many days will it take for 12 mg of lodine- 131 to be…

A:

Q: The half - life of Cobalt - 60 is 15 years. How much of an initial 105 g sample will remain after 33

A:

Q: How long will it take 200,000 to increase by 80,000 if invested at 8% converted annually

A: Here in the given question:   Principal amount P = 80,000   Final amount (A) = 2,00,000   Interest…

Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

A:

Q: If18 g of a radioactive substance are present initially and 4yr later only 9g​remain, how much of…

A:

Q: The half -life of carbon-14 is 5,730 years. Suppose a fossil is found with 20% as much of its…

A: Given that the half-life of carbon-14 is 5,730 years. So, h=half life=5730 Let the initial amount=P=…

Q: An

A: Given,element with mass = 510 gramsdecay rate = 26.3% per minuteour aim is to find how much of the…

Q: Find the half-life (in hours) of a radioactive substance that is reduced by 5 percent in 15 hours.

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Given half life =1590 years t0=100, time =0t1=50, time =1590t2=25, time = 2(1590)t3=12.5, time =…

Q: The population of a country doubles in 81 yrs. How many years will it be five times as much?

A: Let 'P' be the number of population then dPdt = KP∫dPP =∫ KdtIn P = Kt +c ......(1)When t = 0  ; P =…

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A:

Q: If 12 g of a radioactive substance are present initially and 8 yr later only 6 g​ remain, how much…

A:

Q: An element with mass 490 grams decays 28.6% per minute. How much of the element is remaining after…

A:

Q: If 16 g of a radioactive substance are present initially and 9 yr later only 8 g​ remain, how much…

A:

Q: If 16 g of a radioactive substance are present initially and 5 yr later only 8 g​ remain, how much…

A:

Q: How much would you expect systolic blood pressure to change if a person commits to reducing their…

A: From the given information expect systolic blood pressure to change if a person commits to reducing…

Q: The half-life of a radioactive material is about 34.2 years. How much of the material is left after…

A:

Q: If 12 g of a radioactive substance are present initially and a 4 yr later only 6g remain, how much…

A: Given Total radioactive substance present   After four year only 6g remain

Q: The​ half-life of radium is 1690 years. If 40 grams are present​ now, how much will be present in…

A:

Q: The half-life of a radioactive substance refers to the amount of time it will take for the quantity…

A: Assume the starting year to be 2015. According to the given information, N0=100t12=20

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.