An unknown substance weighs 25.28kg when it is first brought to the lab.  After a week in the lab, a technician weighs it again and finds it weighs 12.58kg.  Assuming the substance is decaying exponentially, calculate the decay factor from week to week.

Q: The isotope Hg-197 is used in kidney scans. It has a half-life of 64.128 hours. After that time,…

A: Given – The isotope Hg – 197 is used in kidney scans It has a half life of 64.128 hours . After time…

Q: The count in a bateria culture was 800 after 10 minutes and 1000 after 35 minutes. Assuming the cou…

A: Given

Q: A tumor is injected with 0.8 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

A: Given: To find the amount of Iodine -125 that would remain in the tumor after 60 days, Formula used:…

Q: The count in a bacteria culture was 500 after 10 minutes and 1900 after 30 minutes. Assuming the…

A:

Q: The radioactive substance neptunium-139 decays to 73.64% of its original amount after 24 hours. How…

A: Given that, in 24 hours, 73.64% of its original amount decays. So, in 24 years, 100-73.64=26.36% of…

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

A:

Q: The​ half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

A: We have to find how long will it take for the drug to decay to 88​% of the original​ dosage using…

Q: The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by 7.2%…

A: Given: Initial population is a=144000 Rate of decrease is r=7.2% Time estimated is 2036-2016=20…

Q: The count in a bacteria culture was 400 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: The solution is given as follows

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

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.