5. The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t . After 3 hours it is observed that 400 bacteria are present. After 10 hours 2000 bacteria are present. What was the initial number of bacteria?

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

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A: Let's find.

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A: Topic:- application of derivatives

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Q: a)How quickly is the water leaving the barrel over the first two seconds? b)Will the water drain…

A: The solution is given below in the next step:

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

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Q: 2. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

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Q: 2. The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an…

A: Given  The number of bacteria at the beginning of an experiment = 30 hourly growth rate = 1.4%

Q: (4) If the population of bacteria in a certain region triples in 50 days. In how many days will be…

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Q: .

A: We will find the temperature.

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Q: 4. In a culture of yeast, the amount of active ferment grows at a rate proportional to the amount…

A: Let's work on the problem straight from the statement "the amount doubles in 1 hour": let the…

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

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Q: 2. In a certain culture of bacteria, the rate of increase is proportional to the number present. If…

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

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Q: 2. A street lamp is 5m tall and located 6m from a brick wall. A person who is 2m tall walks away…

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Q: A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.5 N of dissolved…

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Q: Suppose you have a 200-gallon tank full of fresh water. A drain is opened that removes 3 gal/sec…

A: Let the concentration of brine =x lb/gal Amount of salt entering in per minute = 2 gal1 min×x lb1…

Q: 5. The population of a community is known to increase at a rate proportional to the number of people…

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

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

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Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

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Q: 1. A conical paper cup 4 inches across the top and 4 inches deep is full of water. Since there is a…

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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…

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Q: (4) If the population of bacteria in a certain region triples in 15 days. In how many days will be…

A: Bacteria increases proportional during the period given in the problem

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

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

Q: 1. Suppose the length of the diagonal of a square is increasing at the rate of 2 inches per second.…

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Q: A radioactive element is known to decay at a rate proportional to its present mass. Initially, there…

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

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Q: 2. A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

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Q: 5) If the radius of a right circular cylinder is increasing at a rate of 1 inch per minute, and the…

A: The volume of cylinder is given by the formula V=πr2h. The given values are as follows: r=40 inches,…

Q: In a chemical reaction, substance A decomposes at a rate proportional to the amount of A present. It…

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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