Einsteinium-255 is a radioactive substance that decays at a continuous rate of 65%% per day. (a) Suppose we start with an initial amount of Einsteinium-255, find a formula for the Amount of Einsteinium-255, as a function of time N, a t- (b) Find the half-life of Einsteinium-255 (be sure to include the units). Round decimal to two places

Q: 4. A certain breed of rabbit was introduced onto a small island about 15 years ago. The current…

A: We will find out the initial size of the rabbit population from the given exponential growth model.…

Q: 5. Radium decomposes in air at the rate proportional to the present amount. If initially there are…

A: Here, given that radium decomposed in the air at a rate proportional to the present amount. Let,…

Q: (a) An investment account earns 10 % interest compounded continuously. At what (constant,…

A: Let's find.

Q: Aradioactive element decays according to the function Q= Qo e", where Qo is the amount of the…

A: A radioactive element decays according to the function Q=Q0ert ......................... (1)  Q0=…

Q: 3. Initially 100 millions of radioactive substance was present. After 6 hours the mass has decreased…

A:

Q: 11. The rate of a continuous money flow starts at $1000 and increases linearly at a rate of $20 a…

A:

Q: The number of bacteria in a certain population increases according to a continuous exponential…

A: Given:

Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

A:

Q: Strontium-90 has a half-life of 28 days.(a) A sample has a mass of 50 mg initially. Find a…

A:

Q: The population of a certain kind of rodent grown at a rate proportional to the present number of…

A: Consider the population of rodent be P. dPdt∝PdPdt=kP1PdP=kdt Integrate both sides of the above…

Q: 33. Early retirement. Lauren Johnson signs a 10-yr con- tract as a loan officer for a bank, at a…

A: Lauren has 3 years on her contract making $84,000 per year. With an interest rate of 4.7% the…

Q: 17. The decay of a certain substance is modelled by the function N(t) 100(3+e), where the number of…

A:

Q: 2- Cholera, an intestinal disease, is caused by a cholera bacterium that multiplies exponentially.…

A: Put respective values of "t" where number of bacteria are being asked in the given equation.

Q: 3. A process creates a radioactive substance at the rate of 1 g/hr, and the substance decays at an…

A: 3. Rate of creation of radioactive substance is 1 g/hr The mass of substance at time t is q(t) gm…

Q: Carbon-14 (14C) is a radioactive isotope of carbon that has a half-life of approximately 5730 years,…

A: Given,  An Egyptian papyrus parchment was observed for its element X content. Initially, when you…

Q: A continuous income stream has an annual rate of flow at time t given by f(t) = 12,000e°.02t…

A: Given, The interest rate , r = 4% = 0.04 Number of years, t = 3 Annual rate of flow, f(t) =…

Q: Strontium-90 is a radioactive material that decays according to the function A(t) = A e scientist…

A: This question can be solved using the concept of exponential growth and decay.

Q: Question 2: (a) After 5,730 years, 100-gram sample of Carbon-14 decayed to half of its original…

A: a.

Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

A:

Q: A population is initially 30 and is known to decline at a continuous rate of 2.98 % per yea Estimate…

A: let the equation be of the formy=abxwhere a is the initial population            x  is the number of…

Q: 6. The rate of growth of a particular population is given by dp 50t? - 100t3/2, where P is the…

A: Given problem:- The rate of growth of a particular population is given by (dp)/(dt) = 50t2 - 100t3/2…

Q: The carbon monoxide level in a city is predicted to be  0.02x3/2 + 1 ppm (parts per million), where…

A:

Q: Following the birth of a​ child, a parent wants to make an initial investment P0 that will grow to…

A: Given: Initial investment p0 that will grow to 60,000 for the child education at age 17 interest is…

Q: 4) A chemical substance has a decay rate of 9.3% per day. The rate of change of an amount, N, of the…

A: dNdt=-0.093N                                                                       1N=Nt , Amount of…

Q: Polonium-210 has a half-life of 140 days. Suppose a sample of this substance has a mass of 300 mg.…

A:

Q: 3. Carbon 14 an isotope of carbon is radioactive and decays at a rate proportional to the amount…

A:

Q: A population is initially 40 and is known to decline at a continuous rate of 2.67 % per year.…

A: Half life of the population is the time required for the population to decrease in half.

Q: The board of directors of a corporation is calculating the price to pay for a business that is…

A:

Q: 8) The half-life of bohrium-267 is 17 seconds. a) Suppose that a sample of bohrium-267 originally…

A: NOTE: Refresh your page if you can't see any equations. . here half-life is given  so use the…

Q: 1. When the interest on an investment is compounded continuously, the investment grows at a rate…

A: The change in amount with the rate r is dPdt=rP The amount of investment is 20,000. The amount of…

Q: 1. A tree contains a known percentage po of a radioactive substance with a half - life T. When the…

A: Given:-             It is a half life time problem. We need to use the formula is:…

Q: 7. Radium decomposes at a rate proportional to the amount present. A 300g of radium today will…

A:

Q: |13 An animal population is increasing at a rate of 13 + 51t per year (where t is measured in…

A: Use integration to find the population function at a time.

Q: 3. Initially 200 mL of radioactive substance was present. After 12 hours the mass has decreased by…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 23. Radioactive Decay The half-life of phosphorus-32 is about 14 days. There are 6.6 grams present…

A: We need to find function and t.

Q: Strontium-90 is a radioactive material that decays according to the function A(t) = Ao e -0.0244t,…

A: Given : a.   Decay rate = -0.0244= -0.0244×100%= -2.44 %

Q: Iodine 131 is a radioactive material that decays according to the function A(t)=A0e-0.087(t) where…

A: Refer to the question . we have been given the iodine 131 which is a radioactive material that…

Q: The half life of substance A is 22 years, and substance B decays at a rate of 30 % each decade. (a)…

A:

Q: Radium decomposed at a rate proportional to the quality of radium present. Suppose that it is found…

A:

Q: 1. A substance currently consists of C grams and its grows at a continuous rate of 8.2% per year c.…

A: Given rate of increase=r= 8.2%=0.082 Initial amount=C If it increases by 60%, then it will be C+60%…

Q: Radium decomposes at a rate proportional to the quantity of radium present. Suppose that it is found…

A:

Q: A certain radioactive material is known to decay at a rate proportional to the

A: Given, t= 20 N(20)=80 gm N(0)=100 gm To evaluate t1/2

Q: A constant continuous income stream of C dollars will be invested into an account for ten years at a…

A: I am here to help you.

Q: 4. Radium decomposes approximately at a rate proportional to the amount present. If it is 100 grams…

A: Given  at t=0, amount of radium = 100 grams and at t= 100 years, amount of radium = 96 grams.

Q: 1. Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains…

A:

Q: The growth G of a population of lower organisms over a day is a function of the population size n at…

A: To find out thr population levels.

Q: A population is initially 40 and is known to decline at a continuous rate of 2.31 % per year.…

A: Given problem:- A population is initially 40 and is known to decline at a continuous rate of 2.31 %…

Q: 1. Suppose that the number of bacteria in a certain population increases according to a continuous…

A:

Q: A population is initially 50 and is known to decline at a continuous rate of 2.17 % per year.…

A:

Q: 12. A bacteria population is 5000 at time t-0 and its rate of growth is 1000 - 4 bacteria per hour…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.