1.The population of the Philippines has doubled in the last 50 years.The population of the Philippines in 1948 was 35 million. On what year will our population triple?

Q: 2. A tank contains 2,000 liters of brine. Brine containing 5N/liter of salt flows in at 10…

A: We will find out the initial concentration of the salt for the given problem.

Q: 4. Radium decomposes at a rate proportional to the amount present. If half the original amount…

A: Solve differential equation

Q: A radioactive substance decays at a rate proportional to the amount present, and half the original…

A: given radioactive substance that its half life is 1500 years. we have to find time after which the…

Q: A radioactive material decays at a rate proportional to its amount. If the material has a life of 30…

A: This question is based on application of differential equation.

Q: 4. If the population of a country doubles in 50 years, in how many years will it triple under the…

A: Solve the given for the timing of triple population

Q: 3. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A:

Q: 2. A tank initially contains 1000 gallons of fresh water. Brine containing 3 lbs/gallon of salt…

A: The time taken for the quantity of salt to reach 100 lbs is 16.80555 minutes

Q: 3) A certain radioactive material loses mass at a rate proportional to the mass present. If the…

A:

Q: 5. An apple pie with an initial temperature of 170 °C is removed from the oven and left to cool in a…

A:

Q: 1. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:- exponential function

Q: (a) In a chemical reaction, a certain compound changes into another compound at a rate pro-…

A:

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

A: I have appended the formula used in the solution part.

Q: 17. The half-life of strontium-90 is 28 years. How long will it take a 50-mg sample to decay to a…

A:

Q: The half-life of Uranium-238 is approximately 4.5(10°) years. How much of a 10 kilogram block of U–…

A:

Q: 1. Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium…

A: Given that Radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of…

Q: 3. The half-life of sodium-25 is 1.0 minutes. a) Starting with 1.0 kg how much will remain after ½…

A: Half life is very significant for chemical substances, especially for nuclear substances. It informs…

Q: 2. Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay…

A: Solve for the mass after time 2.2 thousand years

Q: 3. Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Given: initial mass of Radium  y0=96 mgWe know that General decay equation is y=y0e-kt…

Q: 15. Radium decomposes at a rate proportional to the amount present. If half of the origi amount…

A: let x be the quantity of radium at a time t .  dx/dt =kx  dx/x = kdt  Integrating,  logx = kt + logc…

Q: 1. The number of a certain type of bacteria increases continuously at a rate proportional to the…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 2. The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at…

A:

Q: 3. The population of a certain country is known to increase at a rate proportional to the number of…

A:

Q: 1) For a period of time, an island's population grows at a rate proportional to its population. If…

A:

Q: What costs $60 million per gram and can beused to treat brain cancer, analyze coal for its sulfur…

A: Logarithmic functions and exponential functions are considered as inverses of each other as one…

Q: 2. Radium decomposes in air at the rate proportional to the amount present. It is found out that in…

A: Let's find.

Q: 7. A radioactive material decays at a rate proportional to its amount. If the material has a…

A:

Q: 1. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 4. The population of a trading area is currently 100 thousand. At time t years from now population…

A:

Q: 3. If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much…

A:

Q: 1. A tank contains 80 gallons (gal) of pure water. A brine solution with 2 Ib/gal of salt enters at…

A: Given that, a tank contains 80 gallons (gal) of pure water. A brine solution with 2 lb/gal of salt…

Q: 1. An organic compound decomposes at a rate proportional to the amount present. If the half of the…

A:

Q: 2. Suppose a nuclear accident releases 50 kilograms of the element Cesium 137. If the half life of…

A: Given- Intial amount of Cesium-137 is 50 kg and half life is 30 years. To find- The amount after 30…

Q: 3. The rate of population grarth of a to the number inhabitent>. If the population of a certain…

A: topic - exponential function

Q: 1. A body at 50 degrees C cools inside a room with temperature of 30 degrees C. At what temperature…

A: Let's find.

Q: 1. For a certain radioactive element decays at a rate of 37.7% per day (tis measured in days). How…

A: We need to find time.

Q: 1. The population of a certain barangay is increasing at a rate proportional to its current…

A:

Q: 1. The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Since you posted two questions here, i can answer only first one at a time. Please repost other…

Q: Strontium-90 is a radioactive isotope with a half-life of 29 years. Strontium-90 is a major…

A: The half-life , T12 , is calculated using the formula, T12=ln 2λ , where, λ is the decay constant.…

Q: 4. The population of a trading area is currently 100 thousand. At time t years from now population…

A:

Q: * Sugar dissolves in water at a rate proportional to the amount still undissolved. If there were 70…

A:

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

A:

Q: Under laboratory conditions the half-life of ozone is approximately 25 hours. If Q = Qoekt is the…

A: Decay rate is value of k at which ozone decays. It can be easily found using initial condition

Q: 1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

A:

Q: In a chemical reaction, a certain compound changes into another compound at a rate proportional to…

A: Let y be the unconverted amount of substance A at time t. Thus, the given information can be written…

Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount…

A:

Q: A certain population of rabbits grows proportionally to its size. If initially there are 1000…

A:

Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…

A:

Q: 1. A breeder reactor converts relatively stable uranium 238 into the isotope plu- tonium 239. After…

A: Here, A(t) is the amount of plutonium remaining at time t. So, we can create the I.V.P. dAdt=kA,…

Q: A certain mold grows at a rate proportional to its present size. If the original amount doubles in…

A: Given that a certain mold grows at a rate proportional to its present size. And the original amount…

Q: 3. A bowl of soup has an initial temperature of 60 degrees Celsius. The temperature decreases by 6%…

A: Initial temperature= 60 degrees temperature decreases by rate 6% each minute