A population of bacteria is growing according to the equation P(t) = 550e0.224, Estimate when the population will exceed 2455. t=

Q: A body cools at the rate of 0.5°C per second when it is 500°C above the surroundings. What is the…

A:

Q: In the equation, x2+y2=45, what is the value of the rate of change in y with respect to the time t…

A: Given : x2 + y2 = 45dxdt = -2x = 3

Q: A car is traveling at 100 km/h when the driver sees an accident 80 m ahead and slams on the brakes.…

A: Given data:   The initial speed of the car is u=100 km/h. The given distance is s=80 m=0.08 km.…

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

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Q: Initially 35 grams of radioactive substance was present. After 5 hours the mass had decreased by 11…

A: Given:- Initially 35 grams of radioactive substance was present. After 5 hours the mass had…

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: Proceed as shown below...

Q: In some chemical reactions, the rate at which the amount of a substance changes with time is…

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Q: The decay equation for a radioactive substance is known to be y = y₀e⁽⁻.⁰⁵⁴⁺), t in days. About how…

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Q: A bacteria population starts with 400 bacteria and grows ata rate of  r(t) = (450.268)…

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Q: Initially 56 grams of radioactive substance was present. After 8 hours the mass had decreased by 6%.…

A: Let's find.

Q: A box weighing 50lbs falls from rest and the air resistance is proportional to his speed V and that…

A: We need to find velocity.

Q: Suppose at the end of the d perature stays constant at M furnace/air conditioner rate A

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Q: Show that a projectile attains three-quarters of its maximum height in half the time it takes to…

A: Show that a projectile attains three-quarters of its maximum height in half the time it takes to…

Q: In order to stay awake during class, a professor keeps a 200 ounce capacity coffee maker in his…

A: Given coffee maker capacity is 200 ounces. it contains 40 ounces coffee which has 500 mg caffeine.…

Q: A tank initially holds 80 gallons of brine solution containing 1/8 Lb of salt per gallon. At t = 0,…

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Q: A population of bacteria is growing according to the equation P(t) 1800e 0.09t. Estimate when the…

A: The population is given as a function of time. So put the population to get the answer.

Q: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

A: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

Q: 3.Divers swimming at 7 meters below the surface found that the light level was 83% that of the…

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Q: Suppose that electricity isdraining from a capacitor at a rate that is proportional to the voltageV…

A: Given equation in the question is: Integrating both sides: We have, at t = t0, V  = V0 =>ln(V0)…

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a…

A: Here is the solution

Q: A storage battery discharge at a rate which is proportional to the charge. If the charge is reduced…

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Q: A population of bacteria is growing according to the equation P(t) = 1950e" 10. Estimate when the…

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Q: The volume of water in a hemispherical bowl of radius 30cm is given by V =36x2 – x³ ) where x - X cm…

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Q: The concentration of an antihistamine in the bloodstream of a healthy adult is modeled by C = 12.5 -…

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Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: The gradient of a scalar function at any point describes the direction in which the scalar function…

Q: Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost which…

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Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: Given : A town predicts that its public school population will decrease at the rate of

Q: Initially there was 80 milligrams of radioactive substance present.  After an 8 hour period the mass…

A: From the differential equation from the given information. dPdt=kPdPP=kdt Here, the amount of…

Q: A population of bacteria is growing according to the equation P(t)=850e0.22tP(t)=850e0.22t. Estimate…

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Q: ryk is using a straw to drink beer from a right cylindrical glass at a rate of 6 cubic centimeter…

A:

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: Given,           Because of job outsourcing, a town predicts that its public school population will…

Q: A population of bacteria is growing according to the equation P(t) 1250e".11. Estimate when the…

A: The population of bacteria growing according to the equation We need to find the value of t when…

Q: Assume the learning rate for new skills is proportional to the difference between the maximum…

A: The learning rate for new skills is proportional to the difference between the maximum potential for…

Q: Total net shipments of aluminum (in billions of pounds) are approximated by g(x)=16.2+2.86ln(x+1)…

A: A) Total net shipments of aluminum (in billions of pounds) are approximated by g(x)=16.2+2.86ln(x+1)…

Q: When air expands adiabatically (without gaining or losingheat), its pressure P and volume V are…

A: Pressure and Volume are related by equation At a instant

Q: The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an hourly…

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Q: How do we do this question? Thank you

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Q: A population of bacteria is growing according to the equation   P(t)=1550e^0.06t, where t is the…

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Q: Charley stands 34 meters west of Robert. Robert starts walking north at a speed of 2 m/s, and…

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Q: Initially 53 grams of radioactive substance was present. After 6 hours the mass had decreased by 6%.…

A:

Q: A body cools at the rate of 0.5°C per second when it is 500°C above the surroundings. what is the…

A:

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

A:

Q: A car is traveling at  100km/h when the driver sees an accident80 m ahead and slams on the brakes.…

A:

Q: A population of bacteria is growing according to the equation P(t) = 1800e0.15t. Estimate when the…

A: Please see the answer in step 2

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A:

Q: Water is drained from a pool at a rate of R(t) = 50e-0.08t gallons per hour. If the drain is left…

A: 625 gal. water drains from the pool.

Q: A certain radioactive substance has a half-life of 50 hours. Find how long it will take for 90% of…

A:

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: .

Q: A 50-gallon tank initially contains 10 gallons of fresh water. At t= 0, a brine solution containing…

A: We will find out the required time.

Q: Total net shipments of aluminum (in billions of pounds) are approximated by g(x) = 16.2 + 2.86 In(x…

A: Given: The total net shipments of aluminum (in billions of pounds) are approximated by…