A bacteria culture starts with 10,000 bacteria and the number doubles every 40 minutes. Determine a formula for the number of bacteria at time t.

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Q: The mass of a radioactive sample is given by M (t) = Mo10-k where t is the time in years, Mo is the…

A: Mt=M010-ktGiven that:M0=400 gM(t)=40 gt=10 yearsput all values in above equation and find 'k'

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A: Introduction: The given regression equation is: sleep = 3,638.25 – 16.8 work – 15.13 educ + 2.20…

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: Let's plug in some specific numbers for our constants: HP = 0.4H – 0.01H L dt TP –0.3L+0.005H L dt…

A: Given,  dHdt=0.4H-0.01HLdLdt=-0.3L+0.005HL Yes, there are points for which the values of H and L…

Q: The proportion of carbon-14 still present in a sample after t years is  e−0.00012t. Estimate the age…

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Q: Solve the problem. 6) The population P(t) of a bacteria culture is given by P(t) = -1500t? + 48000t…

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Q: 2) A body temperature of 50 °F is placed in an oven whose temperature is kept at 150 °F. If after…

A: time required for the body to reach 100°F=?

Q: 5. Consider a scenario in which a 20ft tall lamppost lights up a street. A 5ft tall woman stands…

A: Using the similarity of triangles.

Q: certain species of alligators is to be introduced into a swamp, and wildlife experts estimate the…

A: A certain species of alligators is to be introduced into a swamp, and wildlife experts estimate the…

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: Under certain conitions, the number of diseased cells N ( t ) at time t increases at a rate N ' ( t…

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Q: Q3) an LRC circuit is set up with an inductance of 1/5 henry, a resistance of I ohm, and a…

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Q: The human population x of a certain island satisfies the logistic law dx/dt = kx – Ax² with k = 0.03…

A: Given that, The human population x of a certain island satisfies the logistic law dxdt=kx-λx2 with…

Q: 1. A small metal bar whose initial temperature was 20°C, is dropped into a large container of…

A: 1) Here, the small metal's initial temperature = 20oC we know that here the rate of change in…

Q: 17. Suppose the radius r, height h, and volume V of a cylinder are functions of time t, and further…

A: Simply write the volume of the cylinder and differentiate with respect to h.

Q: if the population of the lunar station at clavius is given by P=200 + 30t, where t is time in years…

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Q: Two populations of bacteria were given food treated with different vitamins to see how they would…

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Q: When it comes to bacteria growing by binary fission, its generation time will be the time interval…

A: Given,              G=t3.3 logbB; G= generation time  t=  time interval in hours or minutes b=…

Q: 2. Suppose the remaining quantity, measured in grams, of a radioactive substance present after time,…

A: Given: Qt=500e-0.05t we know that at half life quantity of radioactive substance will be half of…

Q: A certain radioactive isotope has a half-life of 17 hours. How long would it take a given amount of…

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Q: It is estimated that t years from now, the population of a certain country will be P(t)=…

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Q: A body of unknown temperature is placed in a refrigerator at a constant temperature of 0° F. If…

A: Given:- A body of unknown temperature is placed in a refrigerator at a constant temperature of 0° F.…

Q: A body of an unknown temperature is placed in a room which is held at a constant temperature of 30 .…

A: Given that, A body of an unknown temperature is placed in a room which is held at a constant…

Q: The human population x of a certain island satisfies the logistic law dx/dt = kx – 1x² with k = 0.03…

A: Given: dxdt=kx-λx2 --------(1) k=0.03                =3×10-2----(2)λ=3×10-8----(3)

Q: a) a sample of iodine-131 has a weight of 3 mg and a half life of approximately 8 days.  how much of…

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Q: Suppose that when a certain lake is stocked with fish, the birth and death rates B and 8 are both…

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Q: While Mia is playing in a sandbox, Mike, a biochem unyor, is sitting in a lab and trying to solve a…

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

A: Given the data :

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Q: 21. Suppose the number of users for a new social media app increases according to y = Yoe0.1t where…

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Q: b. A spherical metal ball with initial temperature of 190°C is placed outside where the temperature…

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Q: 4. The temperature of a warm object can be found by T= A + (To – A)e“, where A is the temperature of…

A: Solution:

Q: A culture of bacteria has an initial population of 210o bacteria and doubles every 4 hours. Using…

A: given that : P0=2100d=4

Q: The human population x of a certain island satisfies the logistic law dx/dt = kx with k = 0.03 = 3 x…

A: GIVEN: k = 0.03

Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is compare this…

Q: 1. A small metal bar whose initial temperature was 20°C', is dropped into a large container of…

A: As per as our guideline i am supposed to answer only one question. please repost remaining question

Q: A 50-gal barrel is filled completely with pure water. Saltwater with a concentration of 0.3 Ib/ga…

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Q: Suppose we have a pendulum clock that uses a slightly damped pendulum to keep time (that is, b is…

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Q: After 12 hours, half of a 16 gram sample of a radioactive element remains. Find the constant k for…

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Q: The human population x of a certain island satisfies the logistic law dx/dt with k = 0.03 = 3 x…

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Q: It is predicted that, t years from now, the population of a certain town will be P(t) t²+5t+22…

A: Use first derivative for critical years and second derivatives to check maximum or minimum…

Q: 12. The half-life of strontium-135 is 2 years, and its mass. A. is modelled by, where A, is the…

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Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A: Given, A certain species of deer is to be introduced into a forest, and wildlife experts estimate…

Q: It is predicted that, t years from now, the population of a certain town will be P(t)=…

A: here t= number of years  P(t)= population in thousand the given domain is

Q: Suppose that Newton's Method gives pn as an approximate solution of f (x) = 0, and we know that pn…

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Q: 11A The gross primary productivity of an ecosystem is 3.5 kgC/m2/year, and the energy needed by the…

A: Part(a): Given, Gross primary productivity =3.5 kgC/m2/year And energy needed for their own…