IV. Analysis/ Analyzing Place your solution on the space provided. 1. Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in population every 6 hours, what is the growth rate? How many bacteria will there be in two days?

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

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A: For logistic growth model which is limited by carrying capacity, dN/dt = rN/K (K - N) Carrying…

Q: VoWiFIa ll O 91% 3:15 A certain population of bacteria is known to grow at a rate proportional to…

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Q: A mess of 40 iguanas moved to a new island which is so large that the carrying capacity is…

A: Population size = N = 40 Generation time = Time per generation = 2 years Growth rate = 0.6 Growth…

Q: 2. A tank initially contains 1000 gallons of fresh water. Brine containing 3 lbs/gallon of salt…

A: The time taken for the quantity of salt to reach 100 lbs is 16.80555 minutes

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A: let p=population at time t so we can write  to remove the proportionality sign we need to multiply…

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Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present. After…

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A: 1.  Process time = Total time - Move time - Inspection time- Rework time                      = 60…

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Q: 14 12 10 8 2- 1 2 Estimate the instantaneous rate of change at æ = 3 Your estimate needs to be…

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Q: 8. The manager of an appliance manufacturing firm determines that when toasters are priced at p…

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Q: 21. The population of a town is decreasing at a rate of 2.5% per year. If the population in 2000 was…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: A tank contains 80 gallons of pure water. Brine solution with 2 Ib/gal of salt enters at 2 gal/min,…

A: In the question we have to calculate time.

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A: To match the each item to thier appropriate choices for the following:To find the particular…

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A: Aap per our guidelines we can solve only one question at a time. Please repost unsolved questions…

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Q: ioactive plutonium has a half life of 24,100 years. The mass of plutonium in a sample (in g) present…

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Q: 13. The revenue from a manufacturing process (in millions of dollars) is projected to follow the…

A: R(t) = 100+0.08 t C(t) = 60+0.2 t2   P(t) = R(t)- C(t)       = 100 +0.08 t -60 - 0.2 t2 P(t) = -0.2…

Q: 4. The population of a trading area is currently 100 thousand. At time t years from now population…

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Q: _8. This refers to the initial amount of the growing quantity in the equation where the amount of t…

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Q: Alice measures a radioactive sample at 1400 counts/minute on a Geiger counter. If the radioactive…

A: At initial the quantity of the substance is Ro = 1400 counts/minute.   At time t = 15 days   The…

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Q: A tank contains 80 gallons of pure water. Brine solution with 2 Ib/gal of salt enters at 2 gal/min,…

A: In the question we have to find time.

Q: Given that bugs grow at a rate of 0.95 with a volume of 0.002. How many weeks would it take to fill…

A: Solution : given, Rate of bugs growing = 0.95 bug/second volume of a bug =0.002 unit I) number of…

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Q: In a certain resort with a swimming pool having a volume of 10,000 gallons, the pool water has a…

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Q: B. A certain culture is able to sustain 100 colonies of bacteria. Initially, there were 10 colonies…

A: We need to find colonies after 24 hours.

Q: A certain species of virulent bacteria is being grown in a culture. It is observed that the rate of…

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Q: A car departures from a given position and heads north at the speed of 30 km/h. One hour later, a…

A: A car departures from a given position and heads north at the speed of 30 km/h. One hour later, a…

Q: 2. The manager of a company determines that when q hundred units of a particular commodity are…

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Q: 13. The revenue from a manufacturing process (in millions of dollars) is projected to follow the…

A: R = 100 + 0.08t at t = 10 R = 100 + 0.8 R = 100.8 million dollars.   C = 60 + 0.2 t2 at t = 10 C =…

Q: In growth of human population if a is the birth rate and ß is dead rate wheret is time & No The size…

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Q: 2. A population of 50 fruit flies is increasing at a rate of 6% per day. Which of the following is…

A: →Note that, population growth follows the concept of comound interest.                A =P ( 1 +…

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

A: Use the radioactive decay formula

Q: Consider a large vat containing sugar water that is to be made into soft drinks (see figure below).…

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Q: A. What would be the initial population of the mosquitos colony? B. What is the population of the…

A: Substitute x= m in the equation to get p(m)

Q: 3. The rate of growth of an investment is proportional to the amount of the investment at any time…

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Q: 4. Calculate the average annual rate of increase in a population with 3.0 billion people (in year…

A: Given Information -  Population in year 1 = 3.0 billion Population in year 2 = 3.036 billion We have…

Q: 9. The following table shows data for the cost of natural gas in Maryland (in dollars per Million…

A: Hello, Thanks for posting your question here.  Since you have posted a question with multiple…

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Q: 4) Ashok's investment portfolio changes value at the rate V'(t) 15e0.06 (e0.36 _ 2) where V is in…

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Q: The number of students enrolled at a college is 13,000 and grows 6% each year. Complete parts (a)…

A: (1) The population after t years is given by, P=P01+r100t Where P0  is the initial population and r…

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