In an experiment to study the growth of bacteria, a medical student measured 5000 bacteria at time 0 and 8000 at time 10 minutes. assuming that the number of bacteria grows exponentially, how many bacteria will be present after 30 minutes?

Answers

Answer 1
Usig the formula; Nt = N0 * ( 1 + r)^t
where:
Nt: The amount at time t
N0: The amount at time 0
r: Growth rate
t: Time passed

First we calculate r (the exponential growth rate); 8000 = 5000 * (1+r)^10
r = 0.048

Therefore in 30 minutes;
Nt = 5000 * (1+0.048)^30
Nt = 20500
Answer 2

Final answer:

To determine the number of bacteria after 30 minutes with exponential growth, we use the data points of 5000 bacteria at time 0 and 8000 at 10 minutes to find the growth rate (r). We then apply the formula [tex]N_(_t_)[/tex] = N0 * [tex]e^(^r^t^)[/tex] to estimate the number of bacteria present after 30 minutes, which is approximately 21,873.

Explanation:

To calculate the number of bacteria present after 30 minutes assuming exponential growth, we first need to determine the growth rate. We know there are 5000 bacteria at time 0 and 8000 at 10 minutes. The formula for exponential growth is [tex]N_(_t_)[/tex] = N0 * [tex]e^(^r^t^)[/tex], where [tex]N_(_t_)[/tex] is the number of bacteria at time t, N0 is the initial number of bacteria, r is the growth rate, and t is the time in minutes.

First, we need to find the growth rate (r) using the information provided. Since we have two data points (5000 at time 0 and 8000 at time 10), we can write the formula as 8000 = 5000 * [tex]e^(^r^*^1^0^)[/tex]. Solving for r gives us r ≈ 0.0458 per minute. Now, to find the number of bacteria after 30 minutes, we use the formula with the growth rate:

N₍₃₀₎ = 5000 * e⁽⁰·⁰⁴⁵⁸*³⁰⁾

Calculating this, we find that the estimated number of bacteria after 30 minutes is approximately 21,873.


Related Questions

The tryptophan operon is a repressible operon that is turned off whenever tryptophan is added to the growth medium. turned on only when tryptophan is present in the growth medium. turned on only when glucose is present in the growth medium. permanently turned on.

Answers

a) NO - turned off when trp is present (don't need to make more!)
b) YES - no tryptophan, then need to make some
c) NO - never permanently turned on
Final answer:

The tryptophan operon is a repressible operon, usually active but can be turned off when the level of tryptophan is high. Its operation does not depend on the presence of glucose nor is it always turned on.

Explanation:

The tryptophan operon is a segment of DNA involved in regulating the production of proteins related to the absorption and breakdown of tryptophan. It is an example of a repressible operon. Normally, the operon is active, but the presence of tryptophan inhibits its activity. When tryptophan levels are high, the operon is turned off and does not produce related enzymes. When tryptophan levels are low, the operon is active and increases production of these enzymes. It is not affected by the presence of glucose and is not permanently turned on.

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Food aversions can be related to food allergies or to _____ to food.

Answers

The answer is adverse reactions

Answer: adverse reactions

N a pond, tadpoles eat algae and fish eat the tadpoles. around the pond, grasshoppers eat grass and, at night, are preyed upon by bats. other bats eat the first that eat the tadpoles. in this community, the tadpoles are:

Answers

Final answer:

Tadpoles play a dual role in their ecosystem as both prey and predators. They help control algae populations as larvae and, later as adults, consume small aquatic animals. They are also a key food source for fish, which shows their importance in the pond's food web.

Explanation:

In the context of the ecosystem described, tadpoles serve as both prey and predators in their environment. During their larval stage, tadpoles primarily consume algae and thus perform an important ecological service by keeping waterways clean. This filter-feeding herbivore stage is crucial in controlling algal populations in the pond. However, as tadpoles grow, they transition into a carnivorous adult stage and begin feeding on insects, worms, and snails.

As part of the food web, tadpoles at different stages can significantly impact both the population of algae and the small aquatic animals which may be their prey. Unfortunately, tadpoles themselves are an important source of nourishment for fish, which makes them integral to the survival of these predators too. Fish in turn can be preyed upon by certain species of bats, demonstrating the interconnectedness of aquatic and terrestrial ecosystems.

Which part of the spermatozoa contains the most mitochondria?
a. tail
b. midpiece
c. head
d. acrosome?

Answers

The answer would be: b. midpiece

Mitochondrial is an organelle that has a role in energy production. Part of the spermatozoa that need most energy would be its tail that has to constantly move. The movement of the tail mostly done in the midpiece where the mitochondrial present.
The head and acrosome should not have any, that is why the fertilized egg doesn't have mitochondrial from the sperm.


Which of the following icons is used to represent a male affected with a disease?
A half-filled circle
A half-filled square
A completely filled circle
A completely filled square

Answers

I believe a completely filled square represents a male affected with a disease.
A half-filled circle represents a carrier female, while a a half filled square represents a carrier male and a completely filed circle represents an infected female with a disease. Normally these are shown in a human pedigree which shows the occurrence an appearance or phenotype of a particular gene or organisms and its ancestors from one generation to the next.
The answer is a completely filled square, due to the fact that a circle represents female so generically a square would be male. An empty shape has no traces of the disease, half filled shape is a carrier of said disease, and fully filled shape has the disease.

Rudolf is dealing with impending layoffs at work. yesterday, at a pharmacy, he measured his blood pressure and it was high. he also notices that when he thinks about the future, his heart rate accelerates. rudolf is demonstrating ________ symptoms of stress.

Answers

Physiological symptoms of stress

Stress plays aggravating role in diseases and it affects every parts of the body. Many emotional and physical disorders have been associated with stress including stroke, anxiety, hypertension, depression and many more. Stress symptoms can affect one’s health and can lead to other illnesses. For the question given above, Rudolf is demonstrating physiological symptoms of stress.






The basic difference between spermatogenesis and oogenesis is that ________. the basic difference between spermatogenesis and oogenesis is that ________. spermatogenesis involves mitosis and meiosis, but oogenesis involves meiosis only the mature ovum is n, while the sperm is 2n during spermatogenesis two more polar bodies are produced in oogenesis, one mature ovum is produced, and in spermatogenesis four mature sperm are produced from the parent cell

Answers

Mature ovum is being produced in oogenesis, while spermatogenesis has four mature sperms that contains enzymes due to that the sperm is able to penetrate an egg

Answer:

Mature ovum is being produced in oogenesis, while spermatogenesis has four mature sperms that contains enzymes due to that the sperm is able to penetrate an egg

Explanation:

What does is mean to say a species is a "threatened" species? select one:
a. that species is not in immediate danger of extinction but is likely to be so in the near future.
b. that species was brought to the point of extinction, then miraculously saved through conservation measures.
c. that species is having a portion of its habitat destroyed.
d. that species is in immediate danger of extinction.
e. that species has many natural predators?

Answers

i think its D. thats my opinion tho!

During a critical period in infancy, __________ influences the formation of neural circuits in the hypothalamus, which are responsible for determining the body's set point.

Answers

During a critical period in infancy, leptin influences the formation of neural circuits in the hypothalamus, which are responsible for determining the body's set point. The body's set point is the weight  range in which the body is programmed to function optimally. Leptin plays an important role in life, by altering the brain function that influences how much and individual or an animal later eats. 

Francesco redi performed an experiment in 1668. in the experiment, he placed rotting meat in two jars. the first jar was left open. after a few days, fly larvae were found on the decaying meat inside. the mouth of the second jar was covered with gauze. after a few days, the decaying meat inside was free of fly larvae, but larvae were found on the gauze. this experiment supports the hypothesis that

Answers

The experiment performed by Francesco Redi supports the hypothesis that fly larvae only come from adult flies based on his experiment design using a covered-meat and non-covered meat. In addition, he also believed that maggots came from the fly rather than from the rotten meat by using the same experiment design.

People sometimes use certain chemicals to kill unwanted plants. These chemicals seep into the ground and damage the roots. Explain why damage to the roots could kill the plant.

Answers

Roots for plants have many functions, including absorbing water and nutrients from the soil and anchoring the plant to the ground. For starters, if the roots are damaged, the plant no longer has an anchor to the ground and could be affected by heavy rainfall. The chemicals, such as herbicides, could be absorbed into the plant through the roots, which is toxic to the plants, killing them.

Because a plant's roots are so important to its overall health and functionality, damage to them can be detrimental to the plant's ability to survive.

Plants are supported structurally, anchored in the ground, and have roots that draw water and nutrients from the soil around them. Additionally, they make it easier for water and nutrients to reach the rest of the plant. Dehydration, malnutrition and general physical stress result from chemicals that damage the roots' ability to absorb nutrients and water. Lack of sufficient water and nutrients disrupts the plant's metabolism, resulting in wilting, stunted growth, and eventually plant death.

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What is a spectrogram? What variables are on the x- and y-axes?

Answers

Definition
                  "Spectrogram is a visual representation of the strength or loudness of a signal over time a various frequencies in a particuar waveform".

Explanation
                   spectrograms are used to display frequencies of sound waves produced by humans, machinery, animals, whales, jets, etc., as recorded by microphones. Time variable is plotted on x-axis and frequency is plotted on -axis.

Question 14 unsaved unlike endocrine glands, exocrine glands question 14 options: release hormones. release secretions directly into the blood. release secretions outside of the body. do not usually have ducts.

Answers

Exocrine glands release secretions outside of the body.

One way to remember this is:
exo = outside  
endo = inside

An example of an exocrine gland is a sweat gland. They release sweat (an excretion) to the outside of your body.

I hope this helps! I'm happy to answer any other questions you might have :)
Answer:(C) Release secretions outside of the body

Endocrine glands are glands that secrete chemical materials into the bloodstream or tissues of the body. Endocrine glands are distinguished by being ductless. Where exocrine glands are those that secrete chemical materials into the ducts to be released outside the body.

A 14-year-old boy has been brought to the emergency department by his mother in excruciating pain that is radiating from his scrotum to his inguinal area. the boy's heart rate is 122 beats per minute and he has vomited twice before arrival at the hospital. examination reveals that his scrotum is reddened and slightly swollen and the testes are firm to touch and tender, with extensive cremaster muscle contraction noted. what is the boy's most likely diagnosis?

Answers

The answer would be testicular torsion.

The diagnosis for pain in the scrotum in a male patient would be either epididymitis or testicular torsion. Cremaster muscle will lift the testis and lessen the pain in case of testicular torsion. Extensive cremaster muscle contraction observed makes testicular torsion is more likely in this patient.

The _____ lobe controls voluntary muscle actions and the muscles of speech.

Answers

The motor cortex, in the rear portion of the frontal lobe.

What do scientists determine by combining evidence from fossils, body structures, early development, dna, and protein structures?

Answers

How a human works and the design of a human

What is a renewable source?

Answers

Renewable sources are sources that cannot be destroyed by man.

Water
Air
Wind
Sun

I hoped this helped!
A renewable source in nature is something that naturally replenishes over time (or can't be exhausted with use) and can be used over and over again. 

Some examples of renewable sources (of energy) include solar power, wind power, water/hydroelectric power, and geothermal power because they can't be completely used up. 

Name the part of the respiratory system that routes food and air

Answers

Trachea I think but I'm not positive. I hope I helped

the photograph show root vegetables what makes root vegetables a renewable resource?
A nutrients and calories
B taste and color
C supply and demand
D growth and reproduction

Answers

Growth and reproduction (D)

Over half of all u.s. msw consists of ________. over half of all u.s. msw consists of ________. toxic waste plastics, metals, and glass glass, rubber, and wood plastics and metals paper, food waste, and yard waste

Answers

Over half of all U.S MSW consists of  paper, food waste, and yard waste.  Municipal solid waste or trash or garbage consists of every day items that are used and then thrown away, such as product packaging ,grass clippings, clothing, furniture, bottles, food scraps, newspapers, batteries and appliances paint. 

__________ is caused by a small parasite that burrows in the superficial layers of the skin, where it lays eggs that hatch in a few days. this causes intense itching.

Answers

the answer is scabies.

Out of the following given choices;

A)Lice

B)“Swimmer’s itch”

C)Scabies

D)All of the above

The answer is C. Scabies is caused by female mites (Sarcoptes scabiei) that burrow under the skin and lay the eggs. Allergic reactions to the deposited eggs are what cause the symptoms of scabies. Scabies is among the most contagious skin infections.

How were American farmers in the 1940s impacted by new technology? a. They were able to increase their productivity due to the popularity of tractors. b. They experienced an increase in the demand for fresh foods. c. The introduction of new technology decreased their rate of productivity. d. Farmers were not impacted by new technology in the 1940’s.

Answers

Correct Answer is A. They were able to increase their productivity due to the popularity of tractors.

Answer:

A. They were able to increase their productivity due to the popularity of tractors.

Explanation:

The normal number of wbcs in a healthy person is _______ /mm³.

Answers

What is the average number of white blood cells found per cubic millimeter of blood?

7,000

I'm not sure if right I ask my sister she is a cna

The normal WBC count in a healthy person ranges from 4,800 to 10,800 cells per microliter of blood, with variations based on age, gender, and specific types of WBCs.

The normal number of white blood cells (WBCs) in a healthy person is 4,800 to 10,800 cells per microliter (\u00b5l) of blood. These ranges can vary based on age and gender, and are only general approximations. It's also important to note that specific types of WBCs, like neutrophils, can have a range within this overall count, for example, a typical count of 3,000-7,500 neutrophils/mm extsuperscript{3} of blood in adults. Moreover, the count of CD4+T cells, a type of WBC, in a healthy person is around 1,000 per microliter, but can drop below 400 per microliter in an individual who cannot mount an immune response, indicating potential health issues.

Alcohol will make it easy for you to feel as if you're __________ when you're not. A. crashing B. falling C. standing still D. impaired

Answers

The answer is b I think
B, falling when you are not

In the food pyramid, the greatest biomass appears at the level of A) Birds and Mammals. B) Insects and Zooplankton. C) Phytoplankton and Bacteria. D) Small Fish and other Aquatic Species

Answers

Answer:

plankton and bacteria

Explanation:

Answer: C. Phytoplankton and bacteria

Explanation: Usatestprep

Scientists typically transgenically alter ________ to produce more desirable species.

a.bacteria

b.humans

c.livestock

d.plants

Answers

Your answer is c.livestock. This also includes dogs and cats and any other animal they want.
D. Plants good luck . :)

Why is it important for women to perform breast self - examinations?

Answers

To make sure they, have no lumps because its a sign off breast cancer

A preliminary radiograph taken before contrast dye is injected is referred to as a/an ________.

Answers

A scout film

A scout film is the initial radiograph that is taken to provide an initial view of an area before contrast dye is injected. Scout film is a simple and definite procedure that helps in diagnosing conditions that are not true clinically.




Pertaining to the heart, what substance acts as a lubricant by reducing friction between opposing surfaces?

Answers

Pericardial fluid

Pericardial fluid is a serous substance produced by the serous layer of the pericardium into the pericardial cavity. The pericardial fluid reduces friction by lubricating the epicardial surface and allows the two membranes to glide over each other with every heart beat.






What group makes up the largest level of an energy pyramid?

Answers

The answer is producers 

The largest level of an energy pyramid is composed of producers, which are photosynthetic organisms like plants that convert solar energy into organic food, supporting all subsequent trophic levels. With the most energy at the base, producers ensure energy transfer through the ecosystem, but energy decreases by about 90% with each ascending level.

The group that makes up the largest level of an energy pyramid is the producers. These are typically plants or other photosynthetic organisms at the base or the first trophic level of the pyramid. They are crucial because they convert energy from the sun into organic food through photosynthesis and support all other trophic levels above them. In a standard pyramid of energy, which shows the total amount of energy in the biomass at each level, producers have the most energy because they start the energy flow through the ecosystem.

In an ecological pyramid, energy and biomass decrease as you move from lower to higher trophic levels. For instance, if producers have 1,000,000 kilocalories of energy, only about 10% of this energy is available to the next level, the primary consumers. Consequently, there must be a larger biomass of producers to sustain the energy needs of the organisms in the subsequent levels of the pyramid. The energy pyramid is always upright because energy flow in an ecosystem always goes in one direction—from the sun to producers, then to consumers, and so on—with energy being lost at each step, primarily as heat. This loss of energy explains why energy pyramids cannot support more than 4 or 5 trophic levels.

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