A population of bacteria contains 120 bacteria in generation 1 and triples in
population every generation. This sequence represents the number of
bacteria for the first few generations:
120, 360, 1080, ...
What is the explicit formula for the number of bacteria in generation n?​

Answers

Answer 1

Answer:

Bacteria population In generation n

pₙ = 120 (3ⁿ⁻¹)

Explanation:

The pattern that the bacteria Population follws a geometric series' pattern with the first term equal to the population in the first generation, 120 bacteria, the population in the second generation is the second term and so on.

First term = a = population in the first generation = 120

Second term = a₂ = population in the second generation = 360

Third term = a₃ = population in the third generation = 1080

The general formula for any term of a geometric series is

aₙ = arⁿ⁻¹

a = first term

r = common ratio

But for a geometric series, common ratio is given as the next term divided by the very previous term.

r = (aₙ/aₙ₋₁)

For this question,

r = (360/120) = (1080/360) = 3

So, the right model for the profits for any given year n is

pₙ = 120 × 3ⁿ⁻¹

pₙ = 120 (3ⁿ⁻¹)

Hope this Helps!!!


Related Questions

what's the process called when water accumulates in pools of water such as ponds, lakes and oceans.​

Answers

Answer:

water vapor in the air condenses when the cold can

Answer:

Runoff and Storage

Explanation: When water falls to the Earth, it collects in pools and puddles. This process is called runoff.

Drag words from the left to the correct blanks at the right. You may use the same words more than once. The sum of the number of protons and neutrons in an atom is called the . The number of protons in an atom is called the atom's________ . Each chemical element has a unique_________ . Most hydrogen atoms have only a single proton in their nucleus, so a hydrogen atom that also has one neutron is an_________ of hydrogen. An atom with more electrons than protons has a negative________ .isotopeatomic numberelectric chargeatomic mass number

Answers

Answer: Mass number, atomic number, atomic number, isotope, charge

Explanation:

The total sum of the protons and neutrons in the atomic nucleus is called mass number. It is approximately equal to the mass of the atom.

The number of protons that are present in the nucleus of an atom is called atomic number. It is represented by letter Z.

Each chemical element has a unique atomic number because of the presence of same type of atoms in an element.

The isotope is a variant of a particular chemical element. All isotopes have similar protons but different neutrons in numbers. Hydrogen can have different isotopes depending upon the number of neutrons.

An atom that have more electrons than protons will have a negative charge because electrons are responsible for imparting negative charge.

Essay 1.Why rural settlements have declined 2.reasons why city dwellers opt for the country 3.Benefits of living in the country 4.impact on the rural economy

Answers

Answer:

1.Why rural settlements have declined

Rural settlements have declined because they offer less economic opportunities. In rural areas, the basic activity is agriculture, which tends to pay less than manufacturing or services, and that, due to mechanization, needs less workers every decade.

2.reasons why city dwellers opt for the country

Sometimes city dwellers opt to move out for the country either because they find employment there, or can work remotely, Living in the country is usually cheaper than living in the city, and can also be more desirable to many people who prefer a quiet enviroment.

3.Benefits of living in the country:

As said above, one benefit is in lifestyle: the country is quiet, calm, and cheap. It has higher quality air, and less polution overall. Many people also find small country communities more socially desirable than the large communities that can be found in cities.

4.impact on the rural economy

City dwellers moving for the country benefits the rural economy. City dwellers bring their incomes, and they support the local community businesses. New comers can also help revitalize areas whose population is dwindling.

n
Why did Friedrich Hayek call expansionary spending dangerous?

Answers

He felt it could lead to inflation and poor decisions by consumers.

Answer:

He felt it could lead to inflation and poor decisions by consumers.

Explanation:

what is one benefit of privately issued student loans?
a. they are issued in cooperation with the students University to reduce cost and paperwork
B. they have lower interest rates and can be paid back with a lower out of pocket cost
C. they are backed by the US government to ensure greater Financial Security
D. they are available to any student who meets lending standards regardless of financial need ​

Answers

Answer:

D. They are available to any student who meets learning standards regardless of financial need.

Explanation:

Private student loan is an option for financing which is meant for higher studies from college or bank for student education. This type of loan is available to any student who meets learning standards but do not allow for income-driven repayment plans. There is also no student loan forgiveness. Credit check is required in this type of loan financing so as to know whether the student has loan elsewhere and whether he is up to date in terms of repayment.

Once the loan has been taken, one can start paying up but there is a grace period of six months within which repayment must be fully made. The loan can be refinanced, no borrowing rates, have variable interest rate, hence no interest ceiling.

14. Explain six factors that hinder development of river transportation in Africa​

Answers

-Seasonality of volume of water;Some rivers have very high volume of water during the wet season but very low volume of water during the dry season
-Presence of rapids and waterfalls like Rippon falls on R.Nile hinders movement of vessels
-Some rivers eg Nzoia and Yala are too short and narrow making movement of vessels difficult ----floating vegetation like sudd on parts of R.Nile hinder navigation
-Silting at rivers mouths for example on R.Athi, R.Tana and R.Rufiji hindering movement of vessels

Africa is the second large continent after Russia and is home to a large number of rivers. But most of these rivers are not navigable due to they have waterfalls and are seasonal in nature.

Africa has a large natural resource base but suffers from a shortage of infrastructure and development. Most of the African land is under corruption and is politically unstable.  Most of the wars are due to power, political conflicts, and lack of developmental projects and financial constraints. Hence transportation through most of rivers is a big problem for people.

Learn more about the factors that hinder the development of river transportation in Africa​.

brainly.in/question/2047229.

Which of the following would best categorize Canada's population?A. evenly spread throughout the country B. concentrated on the West Coast C. concentrated in the north D. concentrated in the south

Answers

Out of the choices given here, the one that would best categorize Canada's population is they are concentrated in the south. The correct answer is D.

Just before sunrise on a clear, calm, morning, the air temperature about five feet above the ground is typically _______ the air temperature at ground level.

a. Either just slightly cooler or just slightly warmer than
b. About the same as
c. Substantially warmer than
d. Substantially cooler than

Answers

Answer:

a

Explanation:

i think it’ll be letter a

It is 45°C at sea level. What will the temperature be at 5500 meters? Use the normal lapse rate.

Answers

Answer: 9.25°C

Explanation:

As you move higher from sea level, the temperature drops at an average rate. This average rate at which the temperature drops is known as the lapse rate.

This rate is 6.5 °C per 1000 m.

Temperature at 5,500m has dropped by;

= 6.5 * [tex]\frac{5,500}{1,000}[/tex]

= 35.75 °C

Temperature has decreased by 35.75 °C.

Temperature at 5,500m above sea level is;

= 45 - 35.75

= 9.25°C

what I know about the Trends and Issues in the Tourism and Hospitality Industry​

Answers

Answer:

The trends refer to the patterns that are seeing in a specific industry. In the case of the Tourism and Hospitality Industry​ they are:

-Products designed for specific segments based on lifestyle to attract customers by appealing to the needs of a particular group.

-Focus on health and well-being as companies are focusing on health measures to adjust to the new order.

- Ecofriendly practices as companies are more concern about sustainability because there are more controls and this has become a relevant topic.

The issues are the problems that the industry is facing. The issues in the Tourism and Hospitality Industry​ are:

-Economic crisis because the coronavirus has seriously affected the economy and people are not willing to travel because of the bad financial situation.

-Customers health and safety concerns because customers are worried about traveling and companies have to adopt measures to adjust to the new situation and convince people that these are effective.

-Remain in the market because companies in the industry are facing serious  financial struggles.

Humans and their close relatives (hominins) have been around for roughly 5 million years. What percentage of geologic time is represented by the history of this group?

Answers

Answer:

Approximately 0.11% of the geological time.

Explanation:

Evidence from radiometric dating indicates that Earth is about 4.54 billion years old.

If humans and their close relatives (hominins) have been around for roughly 5 million years, the the fraction of this time to the geological time is calculated below

4.54 billion years = 4.54 x 10^9 years

5 million years = 5 x 10^6 years

percentage = [tex]\frac{5*10^{6} }{4.54*10^{9} } *100%[/tex] ≅ 0.11% of the geological time.

1. Is there a relationship between the locations of earthquake epicenters, volcanoes, and plate boundaries? If so, describe the relationship. 2. According to the theory of continental drift, all of the world’s continents were once connected as one large landmass and have, over the course of hundreds of millions of years, drifted apart into the positions they occupy today. Do the results of this activity support the theory of continental drift? If so, how? Explain your answer. 3. Why is it easier to predict where an earthquake epicenter will occur than it is to predict when it will occur? Explain. 4. The Richter scale describes how much energy an earthquake releases. With every increase of 1.0 on the scale, 32 times more energy is released. How many times more energy would be released by a quake measuring 2.0 more units on the Richter scale? 5. Why do you think the area around the Pacific Plate is called the Pacific Ring of Fire? 6. The Hawaiian Islands have formed as the Pacific Plate moves northwestward over a hot spot of Earth’s interior that provides magma to form several volcanos. Explain what could happen if the Pacific Plate continues to move. 7. How can volcanic eruptions be predicted?

Answers

Answer:1Earthquakes occur along fault lines, which are all the types of plate boundaries.

Volcanoes are located along converging plate boundaries and diverging plate boundarie

2Yes. The reason that earthquakes and volcanoes occur is the plate moving. The magma rises and pushes the

both-side crust. That causes continents moving and volcanoes and earthquakes happen.

3Now people know earthquakes happen along the plate boundaries, so they can predict where it is going to

happening. However, they cannot know when it happens. People cannot predict when the plates are going

to move.

4 64 time more

5There is the area that volcanoes and earthquakes happen usually.6

6Those formed islands are going to keep moving northwesrward and the magma from the hotspot will rise,

cool, and form a new island.

7Before an eruption, magma will rise toward the surface and break the rocks. That causes the hotter surface

and an earthquake. For these two reasons, people can predict volcano eruptions.

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