The rate at which the concentration of a drug in the bloodstream decreases is proportional to the concentration at any time t. Initially, the concentration of the drug in the bloodstream is C0 g/mL. What is the concentration of the drug in the bloodstream any time t

Answers

Answer 1

Answer:

[tex]C(t) = C_oe^{-kt}[/tex]

Explanation:

From the given information:

At any given time (t), let c(t) represent the concentration of the drug present in bloodstream.

Deriving the equation:

[tex]\dfrac{dC}{dt}[/tex] decrease proportionally to Concentration C

i.e

[tex]\dfrac{dc}{dt} \alpha - C[/tex]

[tex]\dfrac{dc}{dt} = -k C[/tex]

[tex]\dfrac{dc}{c} = -k dt[/tex]

[tex]\int \dfrac{dc}{c} = -k \int dt[/tex]

㏑(C) = -kt + λ

where,

λ is the integration constant.

Integrating at t = 0, concentration of blood = Co g/mL

C(0) = Co

㏑(C₀) = 0 + λ

λ = ㏑(C₀)

From ㏑(C) = -kt + λ

㏑(C) = -kt + ㏑C₀

㏑(C)  - ㏑C₀ =  -kt

[tex]\dfrac{C}{C_o} = e^{-kt}[/tex]

[tex]C(t) = C_oe^{-kt}[/tex]

The concentration of drug in blood at any time t is:

[tex]C(t) = C_oe^{-kt}[/tex]


Related Questions

liam says that products with more food miles are likely to be better for the enviroment is he right

Answers

no he is not right plz mark me as a brilliant

1. Suppose you want to design and build a house. How would you communicate your design plans with the construction crew that would work on the house?
2. Cells build large, complicated molecules, such as proteins. What do you think cells use as their "design plans" for proteins?

Answers

Answer:

The correct answer is -

1. blueprints.

2. cells use DNA as their design plans

Explanation:

Blueprint is a representative drawing of an engineering plan that helps in understanding how and where the desired to construct on the house. It helps in communicating what work should be done in the house. It helps in visualizing how the end product should be.

In cells, the design plan is DNA that encodes all the information in a specific nitrogenous base sequence in order to produce specific functions and produce all the proteins

which body system makes red blood cells?

A. single celled
B. multi celled
C. plant cell
D. animal cell
E. tissue
F. respiratory
G. transport system
H. nervous
I. digestive
J. muscular
K. skeletal
L. circulatory
M. cells
N. specialized
O. nutrients
P. grow
Q. respire

Answers

Answer:

In the human adult, the bone marrow produces all of the red blood cells, 60–70 percent of the white cells (i.e., the granulocytes), and all of the platelets. The lymphatic tissues, particularly the thymus, the spleen, and the lymph nodes, produce the lymphocytes (comprising 20–30 percent of the white cells).

Answer:

E

Explanation:

Red blood cells, most white blood cells, and platelets are produced in the bone marrow, the soft fatty tissue inside bone cavities. Two types of white blood cells, T and B cells (lymphocytes), are also produced in the lymph nodes and spleen, and T cells are produced and mature in the thymus gland.

how was the state of the ecosystem before the wolves were introduced?

Answers

Explanation:

In 1995, Yellowstone brought the wolves back to the park. After 70 years without wolves, the reintroduction caused unanticipated change in Yellowstone's ecosystem and even its physical geography. ... When threatened by wolves, deer don't graze as much and move around more, aerating the soil

hi good morning

Answer:

In 1995, Yellowstone brought the wolves back to the park. After 70 years without wolves, the reintroduction caused an anticipated change in Yellowstone's ecosystem and even its physical geography. ... When threatened by wolves, deer don't graze as much and move around more, aerating the soil.

Explanation:

which water pollutants can lead to excessive growth of water weeds​

Answers

Answer:             Water pollution also affects the ecosystem – it can cause a phenomenon called eutrophication. This can cause fish and other aquatic organisms to die. Toxic elements dissolved in water can make their way to humans through fish or other aquatic organisms.

https://byjus.com/biology/effects-of-water-pollution/

Explanation:

Answer:

Excessive nutrients (nitrates) from fertilisers are flushed from the land into rivers by rainwater. Oxygen levels reach such a low point that fish and other organisms suffocate. These nutrients cause increased aquatic plant growth of algae and other plants.

Explanation:

hy plzzzzz helpp fasttttttttttttrrr​

Answers

Answer:

17. A

18. B (the ability to do work)

19. B

20. A

Which of these is the beat example of a positive feedback loop in earth’s climate system

Answers

Answer:  B.  as climate warms, CO2 increases because plants remove less of it

Explanation:

Two nucleotide sequences found in two different species are almost
exactly the same. What does this suggest about these two species?

Answers

Answer:

May have similar evolutionary histories.

hope it helps

Explanation:

A mutation in Complex I decreases the efficiency of the electron transport chain. However, not all components of the electron transport chain are affected by this mutation. Which component of the electron transport chain will remain unaffected by a mutation in Complex I?
a. Ubiquinone
b. Complex II
c. Complex III
d. Complex IV

Answers

Answer:

b. Complex II

Explanation:

The electron transport chain is a sequential series of proteins located in the inner membrane of the mitochondria that act to transfer electrons from different members of the transport chain in a series of redox reactions, which is coupled to the movement of protons (H+) across the membrane. Complex I (also called NADH dehydrogenase or NADH- CoQ reductase) accepts electrons from NADH and passes them to Complex III (also known as coenzyme Q reductase), which also receives electrons from Complex II (succinate coenzyme Q reductase). Ubiquinone (Coenzyme Q) accepts electrons from both complex I and complex II and transfer them to complex III. From complex III electrons pass to complex IV through cytochrome c oxidase and finally to molecular oxygen (O2, the final electron acceptor). In consequence, Complex I and Complex II are linked by different pathways to Complex III, thereby it is expected that Complex II remains unaffected by a mutation in Complex I.

NAME all the steps of Photosynthesis. What is Produced in Each Step? What are the Reactants Used in each step? What is the Final Product?

Answers

Answer:

1.The light-dependent reactions;

The light-independent reactions, or Calvin Cycle

2.Cellular respiration is a metabolic pathway that breaks down glucose and produces ATP. The stages of cellular respiration include glycolysis, pyruvate oxidation, the citric acid or Krebs cycle, and oxidative phosphorylation.

3.In production, a final product, or finished product is a product that is ready for sale. For example, oil is the final product of an oil company. The farmer sells his vegetables as his final product, after they have been through the whole process of growth.

Explanation:

How can histograms help you describe a population? Use the word bank above to help you explain your answer.

Answers

Answer: It shows the distribution of the population with respect to a characteristic, quantitative and continuous, such as the weight or height of a population. It is used to determine the degree of homogeneity of the values studied, or to see the degree of variability, and therefore, the dispersion of all the values taken by the parts.

Explanation:

A histogram is a graphical representation of a variable using bars. In such a bar, its area is proportional to the frequency of the values represented. Thus, it shows the distribution of the population, or of the sample, with respect to a characteristic, quantitative and continuous, such as the weight or height of a population. It is used to determine the degree of homogeneity of the values studied, or to see the degree of variability, and therefore, the dispersion of all the values taken by the parts.

In order to construct a histogram first we need to have a frequency table with all the information. On the abscissa axis (horizontal axis) the intervals are placed from smallest to largest.  On the ordinate axis (vertical axis), the absolute frequencies of each of the intervals are represented.  Then, the rectangular bars of equal width are drawn, and the height represents the absolute frequency. All bars touch the bars next to each other, unless an interval has zero frequency (the height of the bar will also be zero).

Thus, histograms are used to describe populations since they represent a variable and in what proportion of the population it is found.

The population can be given as the number of people living in a specific area. The histogram represents the population, with frequency as the function of the area.

What is a histogram?

A histogram is the graphical representation of the data in the form of bars. The population is given as the number of people in an area.

The population in the area is termed as frequency. The bar graph represents the frequency of population as the function of the area and thereby helps in the determination of the population.

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PLEASE HELP

A student wants to compare the amounts of CO2 given off by yeast provided
with different amounts of sugar. The student places a balloon over each
container to catch the released CO2. How can the student make quantitative
observations of the CO2 collected in the balloons?
A. Describe the shape of each balloon.
B. Approximate the relative size of each balloon.
C. Measure the circumference of each balloon.
D. Count the individual CO2 molecules in each balloon.

Answers

Answer:

So others don't get confused, the answer would be Measure the circumference of each balloon

Explanation:

The student will utilize the following factors to make quantitative observations of the carbon dioxide collected in the balloons which are   describing the shape of each balloon, the relative size of each balloon and measuring the circumference of each balloon.

What is Yeast?

Yeast is a type of fungus that undergo fermentation, where it converts sugar into energy and carbon dioxide is produced during the process as a byproduct.

When sugar in different amounts is provided to the yeast, the carbon dioxide concentration will also differ accordingly. More fermentation leads to more sugar production which leads to increase in level of carbon dioxide.

The shape of the balloon determines the volume of carbon dioxide produced. The amount of carbon dioxide produced in each container is compared by the relative size of each balloon and measuring the balloon circumference will help to calculate the volume of gas.

Therefore, describing the shape of each balloon, the relative size of each balloon, measuring the circumference of each balloon are very important factors to determine the carbon dioxide collected in balloons.

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CODIS is divided in to Indexes. (Offenders, Forensic Unknowns, and Relatives of Missing Persons etc.) Is law enforcement allowed to search all of the profiles in all indexes against each other? Why or why not?
Question 2 options:

1)

Yes, if the data is in the database then it is lawful to search it anyway that helps the case.

2)

No, but only because it is not helpful to the case.

3)

Yes; but only if you have the permission of the victim in the case.

4)

No; it is against a federal law.

5)

Yes; but only in cases when the suspect is a male.

Answers

Answer:

1

Explanation:

they are always allowed to

c: i just answered it and got it right

Answers

Answer:

good for you lol

Explanation:

How to avoid wastage of food?

Answers

Answer:

we can avoid wastage of food by throwing it to dustbin

Explanation:

"Done"

This process of Earth takes about 365 days to complete,
O convection
O conduction
O rotation
revolution

Answers

revolution

a revolution takes the earth about 365 days (aka a year) to complete

Which of the following is not a product of glycolysis?


ATP

glucose

pyruvic acid

NADH

Answers

Answer:

option D

Explanation:

Glycolysis is metabolic pathway that converts to glucose into pyruvate, during the process APT molecules and NADH molecules are produced FADH is not produced

There fore option D is right and the other options are wrong.

Glucose isn't among the products of glycolysis as the glucose is usually

converted to other products.

Glycolysis contains metabolic pathways which converts glucose to ATP

which is a form of energy. Glycolysis comprises of series of reactions and

enzymes which catalyzes every stage.

Glycolysis converts one mole of glucose into products which include ATP,

pyruvic acid and NADH

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quá trình chuyển hóa chất béo

Answers

Gan đóng vai trò trung tâm trong mọi quá trình trao đổi chất trong cơ thể. Trong quá trình chuyển hóa chất béo, các tế bào gan phân hủy chất béo và tạo ra năng lượng. Chúng cũng sản xuất khoảng 800 đến 1.000 ml mật mỗi ngày.

please help very easy 5th grade work giving brainliest

Answers

Answer:

pretty sure its A hope this helps!

Answer:

A

Explanation:

because fuels are used to produce electricity from solar energy

Similar cell types that are grouped together to perform a common function form ?​

Answers


Tissues are groups of similar cells that have a common function. An organ is a structure that is composed of at least two or more tissue types and performs a specific set of functions for the body. Many organs working together to accomplish a common purpose is called an organ system

describe how insect pollinated flower are adampted to pollination

Answers

Answer:

Pollen grains are also adapted for insect pollination. Some pollen grains are hairy or spiky, and others are sticky, so they attach to the insect. The anthers dangle in the breeze, and the pollen is blown away. The pollen grains are very small and light so they are easily carried on the wind.

Explanation:

hope it helps

Which process causes Earth's surface to warm?

Answers

Answer:the radiation of the Sun’s electromagnetic waves

Explanation:

The radiation of the suns electromagnetic waves the convection of air from the atmosphere

A map that shows the distribution of white tailed deer in the northeastern US would be a(n)
map.
A. ordnance survey
OB. geologic
OC. environmental
OD. biogeographic
Reset Selection

Answers

Answer:

Biogeographic

Explanation:

The analysis of the geographic distribution of species, creatures, and other living things is known as biogeography. It's not only about habitation variations; it's also about the variables that cause differences in distribution.

Distribution of white tailed deer is an example of biogeography or Biogeographic research.

How are data from a scientific experiment used?

A. As proof a hypothesis is true

B. As the answer to a scientific question

C. As evidence for a conclusion

D. As a guiding question for designing an experiment

Answers

I believe the answer is C
The data from a scientific experiment used  As evidence for a conclusion.Conclusion is derived after the experiment is performed.This may or may not support a hypothesis but the significance of the study and future research.

What is scientific experiment?It is a procedure that is performed to conclude a hypothesis.It provide an insight into the cause and effect by demonstrating what outcomes when a particular factor is manipulated.

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How does water move around the ocean?

Answers

water is constantly moving, but major currents in the ocean are the result of the wind which drags on the surface of the water as it blows.


Community interactions among species include which of the following?
O prey species
O assistance to other species
O parasitism
O all of these choices

Answers

Answer:

D. all of these choices

Explanation:

This is because the community is made up of different types of organisms, not just one. Therefore, its D.

In a certain type of plant, the gene for red flowers in a dominant and the gene for yellow flowers is recessive. If a purebred plant with red flowers was crossed with a purebred plant with yellow flowers, what color flowers would the offspring have?

Answers

Answer : Yellow

Explanation : Because purebred plants have lighter colored dominence .

What is the responsibility of the Large Intestines?

Answers

Answer:

Since, we know that the large intestines have so many responsibilities .... The purpose of the intestines is basically to absorb water and including salts from a material, Which means it has not yet been digested as food, and also to get rid of any waste products left over, Also this is very important for the intestines to do this process.

Why are economic impacts important to consider when planning to address climate change? Wealthy people and businesses won't support changes if the changes are not beneficial to them in the short term Climate change is the most significant danger humans face in the next 100 years We only have limited resources and so should use them where they will do the most good Without substantial economic sacrifice the world will suffer significant, inextricable (cannot be undone) damage due to climate change​

Answers

Answer:

The projections, if they play out, illustrate the potential magnitude of decisions such as the recent one by President Trump to walk away from the international Paris climate accord, in which more than 170 countries agreed to slash their carbon emissions in coming years. Meanwhile, hundreds of governors, mayors and other elected officials have vowed to continue the shift toward cleaner sources of energy.

Hsiang acknowledged that despite the researchers’ efforts to use sound statistical approaches and a wealth of databases, calculating the future costs of climate change is inherently uncertain. Communities are likely to adapt and become more resilient. Industries evolve and relocate.

Delavane Diaz, a senior technical leader at the Electric Power Research Institute, agreed that the study has limitations. For one, it fails to account for how humans will probably plan for and respond to the changing climate. Still, she said, the conclusions provide an important glimpse of the economic risks the United States could face as global warming worsens.

Explanation:

define cell and atom​

Answers

Answer:

cell is made of molecules whereas atoms make up molecules. Cells are the smallest functioning unit in a living organism

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