1. A body at 50 degrees C cools inside a room with temperature of 30 degrees C. At what temperature will its cooling rate be half of what it was at the start? *

Q: II. Consider an object in a surrounding with constant temperature of 25°C. If the temperature of the…

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Q: 3. A small metal bar, whose initial temperature was 20° C, is dropped into a large container of…

A: Let's find.

Q: 2. It takes 12 minutes for an object at 100°C to cool to 80°C in a room at 50°C. how much longer…

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Q: Number of bacteria in a rapidly growing culture was estimated to be 10,000 at noon, 40,000 after…

A:

Q: 2. A body at 100°C warms at 120ºC after 5 minutes in a surrounding at 30°C. At what time will its…

A: Given- T0=100°C,Ts=30°C ,T=120°C To Find- The time at the temperature of the body will be double.…

Q: If the population of the earth was found to be 3.5 billion in 1970, and Is Increasing at a rate of…

A: The population of the earth was 3.5 billion in 1970,  We are to find at what year population of…

Q: 1. The rate of increase of a certain population of a barangay is proportional to the population. If…

A:

Q: 1. The half life of a substance is 250 years. After 1000 years what percentage of the substance…

A: As per our guidelines we are supposed to answer one question only, kindly repost the remaining…

Q: 1. The frequency of a vibrating string under constant tension is inversely proportional to its…

A: The answer is given as follows.

Q: 3. How much does 1 kg of butter cost at the rate shown in the picture at the left?

A: We will solve the following using unitary method.

Q: A small metal bar, whose initial temperature is 25°C'is dropped into a large container of boiling…

A: Given that :- Initial Temperature of Metal Bar=25°C Temperature of boiling water=100°C How long will…

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

A:

Q: 2. An object is placed in a room where the temperature is kept at a constant 60°F. The object cools…

A: An object is placed in a room where the temperature is kept at a constant 60°F.The object cools from…

Q: Suppose that during the first year after its hatching, the weight of a duck increases at a rate…

A: Solution

Q: if water rises 1/2 inch in 3/7 of a week in a water reservoir, at what rate is the water rising per…

A:

Q: Consider an object in a surrounding with constant temperature of 25°C. If the temperature of the…

A:

Q: If the half-life of a radioactive substance is 7,600 years, then at what rate is it decaying? 1…

A: We can find the rate of decay as below.

Q: 2. A body at 100°C warms at 120°C after 5 minutes in a surrounding at 30°C. At what time will its…

A: Use the Newton's formula for finding the time. First use the Newton's formula for finding k then…

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: A certain drug is eliminated from the bloodstream with a​ half-life of 34 hours. Suppose that a…

A:

Q: 9. If 75 mg of a radioactive substance decays to 15 mg in 20 years, find the Half-Life, in minutes,…

A:

Q: 4. A well-circulated pond contains 1 million L of water that contains a pollutant at a concentration…

A: circulated pound contains 1 million litre of water that contain important at the separation of 0.01…

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: 1. If you have 100 grams of a radioactive isotope with a half-life of 10 years: a. How much of the…

A:

Q: 2. The popu lation of certain country is known to increase as a rate proportional to the number of…

A:

Q: 1. A man takes 40 mg of a certain medicine. Each hour, the amount of medicine in the man's system…

A: Let's find.

Q: 3. A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream…

A: Let the man goes x miles downstream. Assume, the man takes t1 hour to go downstream and t2 hour to…

Q: 18. Two cars start moving from the same point. One travels south at 60 mi/h and the other travels…

A:

Q: A small metal bar, whose initial temperature was 20° C, is dropped into a large container of boiling…

A:

Q: 2. Suppose that a bacteria population is dying off at a rate of 30% per day. How much of the…

A:

Q: An element with mass 490 grams decays by 28.6% per minute. How much of the element is remaining…

A: There is a decay of element at the rate of 28.6% per minute. Initially the mass of element given is…

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: A certain drug is eliminated from the bloodstream with a half-life of 34 hours. Suppose that a…

A: Exponential decay formula: - The amount drops gradually, followed by a quick decrease in the rate of…

Q: If the half-life of a radioactive substance is 6,700 years, then at what rate is it decaying? 1…

A: The decay law is given by, A(t)=A0e-kt Where, A0 is the amount at t=0. And, t1/2=ln2k

Q: A toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the…

A:

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: An

A: Given,element with mass = 510 gramsdecay rate = 26.3% per minuteour aim is to find how much of the…

Q: 8. If the temperature on the fourth day of the month is 70 degrees Fahrenheit and 62 degrees by the…

A:

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: 1) Suppose that a photocopy machine can reduce copies to 65 percent of their original size. By…

A: We will assume the original size as x and solve accordingly to the given situation.

Q: 5. A small metal bar, whose initial temperature is 20°C, is dropped into a container of boiling…

A: According to newton law of cooling: dTdt=-k(T−Ta​)  Where T is the Temperature of the body and Ta is…

Q: 3) An empty can of room freshener that has a volume of 350 mL, contains gas at a pressure of 360 kPa…

A: I am attaching image so that you understand each and every step.

Q: 10. The mass of a radioactive substance is 1000mg and decreases by 7% per year. What is its mass…

A:

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

A:

Q: How much would you expect systolic blood pressure to change if a person commits to reducing their…

A: From the given information expect systolic blood pressure to change if a person commits to reducing…

Q: Given 100 grams of bacteria that decreases at a rate of 1/2 per year. What would be an appropriate…

A: Initial value: 100, Rate: 1/2 per year(decreases). So, the population equation is p(t)=100e-12t…

Q: Suppose for a particular commodity, e=1.7 and that currently 50,000 units are selling for $12 each.…

A: It is given that e=1.7 and total unit is 50,000 selling for $12 each. The formula to be used is…

Q: 4. If caffeine has a half-life of 2 hrs., how many of 140 mg of caffeine remain in Mr. Moreno's…

A:

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