suppose that k=0.2hr^-1 and that the smallest effective concentration is 0.04mg/ml.A single dose that produces a concentration of 0.1mg/ml is administered. approximately how

Q: suppose the population of a certain bacteria in a laboratory sample is 100. if it is doubles in…

A: Given: The population of a certain bacteria in a laboratory sample is 100 and it is doubles in…

Q: ain radioactive material is known to decay at a rate proportional to the present amount. If…

A: Given, certain radioactive material is known to decay at a rate proportional to the present amount.…

Q: A certain radioactive element decomposses at a rate proportional to the amount present. If 100…

A:

Q: A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 500g…

A:

Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: The initial population of the bacteria is, P0=100. After every t=6, the population doubles. So, the…

Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

A:

Q: The half-life of carbon-14 is 5700 years. If an item is discovered with only 17% of the original…

A: Given Half life of carbon-14 =5700 years  i.e. and an item is found with only 17% of the original…

Q: A quantity with an initial value of 480 grows exponentially at a rate such that the quantity doubles…

A: Here a value is increasing exponentially. We need to find the value after specified time.

Q: There were 100 grams of a radioactive substance ten years ago, now there are only 32 grams. Then,…

A: Here we have to find the half-life time.

Q: Suppose that some graduate students left 8 grams of a radioactive substance unattended in their…

A: Consider the quantity of a radioactive substance initially present be N0. If the half-life of this…

Q: An experimental forest is to be grown by planting 3000 trees each year on the same day of the year.…

A: Let i = number of years = 0, 1, ... , 10 and the number of trees planting in the starting of each…

Q: If 14 g of a radioactive substance are present initially and 3 yr later only 7 g remain, how much of…

A:

Q: A quantity with an initial value of 840 decays continuisly at a rate of 5% per day. What is the…

A:

Q: The mass reaches 75 grams after t= years.

A:

Q: Most smoke detectors contain a tiny amount of Americium-241, which is an artificially produced…

A: Assuming that the radioactive decay follows exponential distribution, the quantity of substance…

Q: If there are 520 grams of Tadioactive material with a half-life of 12 hours, how TIuch of the…

A: The material is decaying at a constant rate, every 12 hours it is getting halved.  So, it is an…

Q: Today there are 500 ants on an colony. They breed with a constant continuous growth rate of 20% per…

A: We will find out the required solution.

Q: What is the half-life of a radioactive substance if it takes 5 years for one-third of the material…

A: We have to find half life period

Q: Because of a virus introduced into a bacterial culture, the population of the bacteria decreased…

A: Exponential decay is N = 50000e-λt Therefore, 30000 at t= 54 min Therefore 30000 = 50000e-λ54…

Q: The half-life of a certain substance is 3.6 days. How long will it take for 20 g of the substance to…

A:

Q: Element X is a radioactive isotope such that every 7o years, its mass decreases by half. Given that…

A: Solution : Given that element X is a radioactive isotope such that every 70 years, its mass…

Q: If a Paramecium is about 390 micrometers long, how many centimeters is it? Express in real numbers…

A:

Q: The half-life of Cesium-137 is 30.7 years. How long will 200 grams of Cesium-137 take to decay to…

A: Given data The half-life of the cesium-137 is t1/2 = 30.7 years. The initial amount of the…

Q: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. What is the…

A: Given: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. To…

Q: A material decays at the rate of 0.099% per year. How long will the material take so that only 30%…

A:

Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A:

Q: Element X is a radioactive isotope such that every 70 years, its mass decreases by half. Given that…

A:

Q: Element X is a radioactive isotope such that every 4 years, its mass decreases by half. Given that…

A:

Q: Element X is a radioactive isotope such that every 16 years, its mass decreases by half. Given that…

A:

Q: A radioactive substance decays at a continuous rate of 17% per day.  After 8 days, what amount of…

A:

Q: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

A: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Of the 1000…

A:

Q: A quantity with an initial value of 870 decays continously at a rate of 0.75% per day. What is the…

A:

Q: A sample of a radioactive substance decayed to 10% of its original amount after 30 years. What is…

A: Given After 30 years substance decayed to 10 % of its original amount

Q: If 50 grams of a radioactive substance decomposed to 42 grams in 2 years, then, to the nearest gram…

A:

Q: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half-life of the…

A: Let the given condition can be modeled as  y=y0eλt   where, y=  Final quantity y0= Initial quantity…

Q: Aman with $30,000 to invest decides to diversity his investments by placing $15,000 in an account…

A:

Q: An accidental spill of 65 grams of radioactive material in a local stream has led to the presence of…

A:

Q: Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

A:

Q: A quantity with an initial value of 8200 grows continuously at a rate of 0.55% per decade. What is…

A: Initial Value=  8200. Growth rate= 0.55% . We can formulate the following equation for "t" years :…

Q: If 26 grams of radioactive waste reduces to 19.35 grams of radioactive waste after 1120 years, then…

A:

Q: An unknown radioactive element decays into non-radioactive substances. In 880 days, the…

A: The half life of a radioactive element is the time it takes to decay half of its original isotope.…

Q: A quantity with an initial value of 3600 grows continuously at a rate of 2.5% per decade. What is…

A:

Q: Element X is a radioactive isotope such that every 27 years, its mass decreases by half. Given that…

A: Radioactive decay

Q: A sample of bacteria taken from a river has an initial concentrationof 2.5million bacteria per…

A:

Q: The half-life of carbon-14 is 5730 years. How long does it take for 2.1 grams of carbon-14 to be…

A: A(t)=A0(1/2)t/h h is the half life A0 is the initial value

Q: A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What…

A: We give the change of the quantity as a function of time as y(t)=390 e-0.0859t where t is in weeks.

Q: he radioactive isotope gallium 67 has a biological half-life of 36 hours. If re start with 100…

A:

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.