Radioactive decay The half-life of phosphorus-32 is about 14 days. There are 6.6 grams present initially.a. Express the amount of phosphorus-32 remaining as a function of time t.b. When will there be 1 gram remaining?

Q: The rate of auto thefts triples every 5 months. (a) Determine, to two decimal places, the base b for…

A:

Q: Strontium-90 is a radioactive material that decays according to the function A(t) = A0e-0.0244t ,…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: E. coli population A common inhabitant of human  intestines is the bacterium Escherichia coli. A…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The population (in millions)  Ukraine in 2015 is 44.4 and the expected continuous annual rate of…

A: Given: The population(in millions) of a country in 2015 is P = 44.4 million,  the expected…

Q: Strontium-90 ("Sr) is a by-product of nuclear fission with a half-life of approximately 28.9 yr.…

A: Given:- Strontium-90 is a by-product of nuclear fission with a half-life of approximately 28.9 yr.…

Q: Radioactive Cesium The half-life of cesium-137 is 30 years. Suppose we have a 10-g sample. (a) Find…

A: As we know that mass after t years for any object will remain same, so  to find the value of r,…

Q: 25 g of polonium-210 is decaying exponentially. After 50 days 19.5 g of polonium-210 is left. Write…

A: Let y be the number of grams of Polonium-210 at any time t dydt is directly proportional to…

Q: here, The value of a collectible toy is increasing exponentially. The two points on the graph show…

A: Given:

Q: 1.3 In a test for blood sugar metabolism, conducted over a time interval, the amount of sugar in the…

A: Given: A(t)=3.9+0.2t-0.1t2 Is a function of blood sugar level with respect to time.

Q: A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.      1. How…

A: radium has a weight of 1.5 mg and a half-life of approximately 6 years This can be model as below…

Q: Exposureto ionizing radiation is known to increase the incidence of cancer. One thousand  laboratory…

A: It is given that:The researchers find that the total number of rats that have developedcancer t…

Q: A population grows according to the model, 1400 e 0.06t where A is the population t years after the…

A: Given,Population functionA(t)=1400e0.06twhere A is the population after t yearsTreating 2000 as…

Q: The number of bacteria in a culture was initially 8000 and it was 12,400 after 2 hours. find a…

A:

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

A: (a) A sample has a mass of 50 mg initially. Find a formula for the mass remaining after t days.Let…

Q: please answer ALL of the question correctly

A: The value of car = $28000Depreciate percent = 19%Time = t yearsR is the rate of depreciationThe…

Q: Radioactive decay The half-life of a certain radioactive sub-stance is 12 hours. There are 8 grams…

A: Given, The half-life of a certain radioactive sub-stance is 12 hours. There are 8 grams present…

Q: 113,000 The logistic growth function f(t) = 1 + 5200 e influenza t weeks after its initial outbreak…

A: Given growth function is ft=113,0001+5200e-t Where,  ft= number of peoplet= time in weeks

Q: Radiocarbon dating: Carbon-14 is a radioactive isotope of carbon that decays by emitting a beta…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

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

A:

Q: isotope of the element erbium has a half-life of approximately 10 hours. Initially there are 17…

A:

Q: Sperry Glacier in Montana covered about 0.78 km2 in 2015 and was shrinking at a rate of about 2.8%…

A:

Q: . Radioactive Decay The half-life of palladium-100 is4 days. After 20 days a sample has been reduced…

A: Let the amount of palladium-100 after t days is given by the exponential function n(t)=n0ert where…

Q: Radioactive carbon-14 decays according to the function Q(t)=Q0e−0.000121t where t is time in years,…

A:

Q: Fluorodeoxyglucose is a derivative of glucose that contains the radionuclide fluorine-18(18F). A…

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: he half-life of cesium-137 is 30 years. Suppose we have a 17-g sample. Find a function that models…

A: From the given data:

Q: Actinium is a radioactive soft metal that glows light blue in the dark. The isotope actinium-228 has…

A: Half life formula is as below : where, N0=initial value=1.65 milligram t12= half life =21.77

Q: Fluorodeoxyglucose is a derivative of glucose that contains the radionuclide fluorine-18 (18F). A…

A: (a) It is given that a patient is given a sample of the material containing 300 MBq of 18F.

Q: Einsteinium-255 is a radioactive substance that decays at a continuous rate of 65%% per day. (a)…

A: The formula is as given below

Q: "Pu is used to make thermoelectric power sources for spacecraft. Suppose that a space probe was 238…

A:

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: Radioactive Decay The half-life of radium-226 is1590 years.(a) If a sample has a mass of 150 mg,…

A: (a) Given Mass is 150 mg. Obtain the function that models the mass after t years.…

Q: pacteria culture starts with 560 bacteria and grows at a rate proportional to its size. After 4…

A:

Q: The rate of auto thefts doubles every 8 months. (a) Determine, to two decimal places, the base b for…

A: the rate of auto thefts doubles every 8 month.

Q: Sodium-24 is a radioactive isotope that is used in diagnosing circulatory disease. It decays into…

A:

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: Radioactive decay The half-life of a certain radioactive substance is 12 hours. There are 8 grams…

A:

Q: A Click Submit to complete this assessment. estion 16 The population of a town with an initial…

A:

Q: 1. Lumyn Electronics has seen stellar expansion in recent months. The company's profit, P, is…

A: The company’s profit, P growing exponentially at 5% each year.The rate of change of the company’s…

Q: Remains have been found containing 8 % of the original amount of Carbon-14. Recall that the…

A:

Q: Carbon dating is a tool used to determine the age of a fossil. For example, a humanoid skull was…

A: To estimate the age of the skull.

Q: A newly discovered isotope has a half-life of 2.5 days. A sample starts with a mass of 400 mg. Write…

A:

Q: Sodium-24 is a radioactive isotope that is used in diagnosing circulatory disease. It decays into…

A: a. Given that, the decays rate of the radioactive isotope is 4.73%. Note that, the formula for…

Q: 2. Caffeine is eliminated from the body at a continuous rate of approximately 17% per hour. A…

A:

Q: Radioactive Carbon-14 The percentage P of radioactive carbon- 14 remaining in a fossil after t years…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The decay time is the time it takes for a radioactive substance to lose half of its amount.  This…

A: Given equation :

Q: Radium decomposes in air at the rate proportional to the present amount. If initially there are 20…

A: We have to find a) Set a model that will predict the amount of radium at any time t. b) What is…

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

A:

Q: The number of users on a website is 3200 and is growing exponentially at a rate of 70% per year.…

A: This is a problem related to exponential function. Based on the general formula we will answer the…

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.