Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank contains 10452 L at 3:56 PM and 8092 L at 4:12 PM the same day, at what time will the tank contain only 6617 L?

Q: A certain bacterium is known to grow according to the Malthusian model, doubling itself every 8…

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Q: A patient is adminstered a dose of 70mg of a drug. If the body naturally disposes of 6%. of the drug…

A: It is given that a patient is administered a dosage of 70 mg.The body naturally disposes 6%.

Q: An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining…

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Q: 1. U.S. oil reserves are estimated at 29 billion barrels, and we currently produce about 6 MBPD. How…

A: Given  Oil reserves =29 billion barrels 1 billion = 1000million  Current production= 6 million…

Q: An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining…

A: There is an exponential decay with rate of 28.8%.

Q: A tank with a capacity of 5000 kg of water is initially half full. Twenty kilogram per minute is…

A: Given that the capacity of the tank is 5000 kg. Let Q be the quantity of water in the tank after t…

Q: A new water pump has a capacity of 60 m³/day. If its capacity goes down by 15% every year, in how…

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Q: A radioactive substance has a half-life of 64 hours. If 200 grams of the substance are initially…

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Q: The requirement for computer server capacity at a particular company is expected to increase at a…

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

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Q: How much should be invested at a rate of 7% coumpounded continuously to produce an amount of $15,000…

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Q: An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining…

A: Given that, The mass of the element is 970 grams, which decays by 27.7% per minute. To find: How…

Q: A tank contains 2,000 L of brine. Brine containing 5 kg/L of salt flows in at 10 L/min, and the…

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Q: A patient is adminstered a dose of 70mg of a drug. If the body naturally disposes of 5% of the drug…

A: Given,           A patient is administered a dose of 70mg of a drug and the body naturally disposes…

Q: A radioactive material decomposes half of its amount per minute. If after 2 mins, 100% undecayed…

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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: Suppose you are a pharmacist and a customer asks you thefollowing question. His child is to receive…

A: Given: Total nausea medicine received by child=13.5 mlTotal time period=54 hours To Find: The amount…

Q: Worker A is a loader and worker B is an unloader. Worker A can load a truck in 10mins, while worker…

A: The time taken by worker A to load the truck is = 10 min  The time taken by the worker B to unload…

Q: If an initial population Po of bacteria doubles in 6 hours, how long will it take to triple (grow to…

A: Given that  6 hours to take doubles the initial population

Q: A 50-mg sample of a radioactive substance decays to34 mg after 30 days. How long will it take for…

A: Given: A 50 - mg sample of a radioactive substance decays to 34 mg after 30 days. To find: The time…

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

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Q: The half-life of the plutonium isotope is 24,360 years. If 10 g of plutonium is released into the…

A: Half life of the plutonium isotope is 24,360 years. If 10g of plutonium is released into the…

Q: 2.) A new building has used 18 tons of cement and is only 30% built. At this rate, how many tons of…

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

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Q: if 8 g of a radioactive substance are present initially and 4 yr later only 4 g remain, how much of…

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Q: A radioactive substance has a decay rate of 4% per hour. If 1000 grams of the substance are present…

A: It is given that,a radioactive substance has a decay rate of 4% per hour. If 1000 grams of the…

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

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Q: If the tank is completely full, how much is overflowing if 530 GPM is being taken off the bott

A: Given: Let the rate of filling be Qin = 1250 GPM  the rate of draining be Qdrain = 530 GPM Because…

Q: If a patient has an order of 400 mg IV q8h and the drug has a half life of 8 hours, what is the…

A: The half-life decay is given by the formula,

Q: A bacteria has an initial population of 200. If after 2hrs, its population is 10 times the original…

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Q: Of an initial amount of 4000 g of lead-210, how much will remain in 190 years? Lead-210 decays at a…

A: Here initial amount A0=4000g Decaying rate λ= 3.15% = 0.0315 Let amount remains in 190 years= A(t)

Q: Find how much more energy was released by an earthquake of magnitude 6.9 than by an earthquake of…

A: Solution: use formula Log E = 11.8+1.45M

Q: An

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

Q: A tank contains 1000 liters of brine. Brine containing 0.4 kg/liter of salt flows in at 10…

A: Let st= The amount of salt at time t. The brine flows in at the rate 10 liters/minute and flows out…

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

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Q: An element with mass 640 grams decays by 7:3% per minute. How much of the element is remaining after…

A: Given intial mass =640 gmsRate of decay=7.3% per miniutetime =8 minute

Q: The half-life of plutonium-241 is approximately13 years.a. How much of a sample weighing 4 g will…

A: The half-life of plutonium-241 is 13 years. A(t)=A0e-k tA02=A0e-k×13…

Q: A radioactive substance has a half-life of 25 years. If 640 grams of the substance are present…

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Q: If 12 g of a radioactive substance are present initially and 8 yr later only 6 g​ remain, how much…

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Q: If 16 g of a radioactive substance are present initially and 9 yr later only 8 g​ remain, how much…

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Q: An element with mass 430 grams decays by 27.4% per minute. How much of the element is remaining…

A: We need to find the exponential function representing the decay of the element.

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

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Q: A 50-mg sample of a radioactive substance decays to 34 mg after 30 days. How long will it take for…

A: The radioactive decay is modelled using the equation: N(t)=N0e-kt, where N0 is the initial amount…

Q: If you leave a 100-W light bulb on for a week, how many joules of energy will be consumed?

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Q: A 25-liter gas cylinder contains 80% oxygen and 20%   helium. If helium is added at a rate of 0.2…

A: The volume of cylinder =25 litre The percentage of oxygen in the cylinder initially=80% The amount…

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

A: Radioactive decay

Q: The requirement for computer server capacity at a particular company is expected to increase at a…

A:

Q: If 12 g of a radioactive substance are present initially and a 4 yr later only 6g remain, how much…

A: Given Total radioactive substance present   After four year only 6g remain

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

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.