A water tank is draining. The volume of the water in the tank, in gallons, is a linear function of the amount of time it has been draining, in hours. It can be modeled using the equation V (t) = –12. 8t + 685, where V is the volume and t is the time. Explain what the values -12. 8 and 685 mean in the context of this problem. Be sure to use units in your response. ​

Answers

Answer 1

In the given equation V(t) = -12.8t + 685, the value -12.8 represents the rate at which the volume of water in the tank is decreasing per hour. The value 685 represents the initial volume of water in the tank when the draining process started.

In the equation V(t) = -12.8t + 685, the coefficient -12.8 indicates the rate of change of the volume with respect to time. It represents the slope of the linear function, indicating that the volume of water is decreasing by 12.8 gallons per hour. This negative value indicates that the volume is decreasing over time as the tank is draining.

The constant term 685 represents the initial volume of water in the tank when the draining process began. It indicates the volume of water in the tank at t = 0 hours. In this case, it implies that at the start of the draining process, the tank contained 685 gallons of water.

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Related Questions

which of the following is the best example of kinetic energy?
A: a bowling ball rolling tworads the pins
B: a horse standing in an open feild
C: a pitcher preparing to throw a ball
D: a runner in position at the start line
6th grade science

Answers

A, a bowling ball rolling tworads the pins

Explanation: Kinetic energy is displayed when an object is moving. All the other answer choices are still.

You are examining the data from two time points taken in an experiment. At time 1 there was an extracellular concentration of Na of 115 mM outside the cell and 8mM inside the cell. An amino acid, lycine, is at 20mM outside and 40mM inside. At the second time measured Na is 100mM outside the cell and 23 mM inside the cell. Lycine is 15 mM outside the cell and 45mM inside. What is the best explanation

Answers

Answer:

See the answer below

Explanation:

The best explanation would be that both Na and the amino acid lycine are simultaneously diffusing (in bound form) from the outside to the inside of the cell.  

Considering the Na alone, one would see that the concentration outside the cell decreased in equal amount (15 mM) as the increase in the intracellular concentration of the same molecule.

Also considering the amino acid alone, the extracellular concentration increased by the same magnitude (5 mM) as the decrease in the intracellular concentration of the same molecule.

Hence, it could only be that both molecules bind together and diffused from the region of higher concentration (outside of the cell) to the region of lower concentration (inside).

Predict the results of a mating between a hemophiliac male and a carrier female. Hemophilia is a SEX LINKED, RECESSIVE trait. Fill in the following information.
21. Genotype male _______
22. Genotype female _______
23. Punnett square:
% of total offspring:
24. % normal males ________
25. % hemophiliac males ________
26. % normal females _______
27. % hemophiliac females _______
28. % carriers _______

Answers

21.Genotype male: XhY

22. Genotype female: XHXh

23. Punnett square:  XH    Xh

24. % normal males: 25% (1 out of 4)

25. % hemophiliac males: 25% (1 out of 4)

26. % normal females: 25% (1 out of 4)

27. % hemophiliac females: 25% (1 out of 4)

28. % carriers: 50% (2 out of 4)

What is a Punnett square?

The Punnett square is described as  a square diagram that is used to predict the genotypes of a particular cross or breeding experiment.

We can see from the Punnett square  the possible genotypes of the offspring.

We see that there are are four possible genotypes:

XHXh (carrier female) XhXh (hemophiliac female), XY (normal male), Y (normal male).

The percentages shows the proportion of each genotype that is among the total offspring which is four.

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How is the male reproductive system different from other body systems? it is not necessary for an individual's survival. it monitors other body systems, and adjusts if necessary. it transports items from one system to another. it is the only system that produces hormones in the male.

Answers

The difference between the male reproductive system to other body systems is it isn’t necessary for vital signs.

What is the male reproductive system?

The male reproductive system consists of the testes, prostate gland, vas deference, and urethra.

Its main functions are to produce male hormones and transport and produce sperms.

It is a necessary system to show the signs and characters of males.

Thus, the correct option is A,  it isn’t necessary for vital signs.

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Answer: The answer is A: It is not necessary for an individual's survival

Explanation:

Took the test edge 2022

HELP ME PLEASE -what type of growth? Explain some of the causes behind the population growth.

HELP ME PLEASE -what type of growth? Explain some of the causes behind the population growth.

Answers

Answer:

Low Stationary or Low Fluctuating

Explanation:

reasons:

-Better healthcare

-Rise in birthrate

-Food security

-Lack of awareness/ education

-Cultural influences

-Lack of family planning

-Religious propagation

-Malicious intent to change demographics

-Immigration

-For Social support

-Perception of marriage & family.

Have an amazing night <3

You are studying a population of Dlugosch’s Small Octopus that has been suffering from a skin disease. In your work, you find that some individuals have more resistance (immunity) to the disease than others. You remember learning about life history trade-offs in your Ecology class, and you hypothesize that immunity trades off with investments in other major life history traits in the octopuses. You decide to design a study to test whether higher immunity leads to a lower number of eggs produced by females.
9. State a prediction for what the results of your study would look like if they support the hypothesis given in the Mission.
Make a figure of results that would be consistent with that prediction:
Label y axis with the variable that should be on the
Label x axis with the variable that should be on the
Draw results bars or lines consistent with your prediction
If the infection reduces the population size of the octopus, would you predict an r or a K strategy would be more likely to evolve (based on what we discussed in class)? Explain why that life history strategy would be favored in a small population, and give at least two traits associated with the strategy that you predict.

Answers

If higher immunity leads to a lower number of eggs produced by females in Dlugosch's Small Octopus, then there will be a negative correlation between immunity level and egg production.

A K approach would be more likely to develop if the illness causes the octopus population to decline. Resources are few in a tiny community, therefore long-term stability and survival are prioritized over rapid population expansion. The K approach emphasizes having fewer kids while allocating more resources to ensuring their survival and welfare. In a small population, the following two characteristics connected to a K strategy might be more prevalent:

Increased parental care: Parents invest more time and resources in raising a smaller number of offspring to increase their chances of survival and reproductive success.

Delayed maturation: Individuals take longer to reach reproductive maturity, allowing them to invest more time in growth, development, and building up resources before reproduction.

These traits help ensure the survival and success of the limited number of offspring in a small population, aligning with the K-selected life history strategy.

In this figure, the y-axis represents the number of eggs produced by females, and the x-axis represents the immunity level of the octopuses. The bars or lines would show a decreasing trend as the immunity level increases, indicating a negative relationship between immunity and egg production.

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You are studying a population of Dlugoschs Small Octopus that has been suffering from a skin disease.

Come up with a slogan to sell bird food

Answers

“I don't feed the birds because they need me; I feed the birds because I need them.” “Feeding birds means feeding yourself! Birds are part of nature and feeding nature is nothing but feeding yourself!”

Answer:

- Just do it (Nike)

- Finger lickin' good (KFC)

- For everything else, there's MasterCard (MasterCard)

- Eat fresh (Subway)

- Save money. Live better. ...

- Have a break. ...

- Red Bull gives you wings (Red Bull)

- A diamond is forever (De Beers)

PLS HELP!! I NEED THIS TODAY!!!

Which of the following is a stage of a host cell infection by a virus?

Select one:
a. viral genetic material injected into the host cell’s cytoplasm
b. replication of viral DNA using host mitochondria DNA
c. adaptation of viral receptors to infect most organism cells
d. virus attaches to host cell membrane using a capsule

Answers

Answer:

I think that the answer is B

Which term names the gland that wraps around the front part of the throat at the Adam's apple, and produces hormones that influence the growth and development of the body?

Answers

Answer:

Your answer is The Thyroid Gland

Which of the following would affect the size of a zone of inhibition around an antiseptic or disinfectant disk?- The susceptibility of the microorganism to the chemical- The concentration of chemical in the disk- The cellular target of the chemicalHow quickly the chemical diffuses through the agar- The depth of the agar

Answers

Susceptibility of the microorganism to the chemical: Different microorganisms have varying levels of susceptibility to certain chemicals. If a microorganism is highly susceptible to a specific chemical, it will result in a larger zone of inhibition.


Concentration of chemical in the disk: The amount of chemical present in the disk can also influence the size of the zone of inhibition. A higher concentration of the chemical will likely lead to a larger zone, as it is more effective in inhibiting microbial growth. Cellular target of the chemical: The specific cellular component that the chemical targets can also affect the zone of inhibition. Chemicals targeting essential cellular processes are more effective in inhibiting microbial growth, leading to larger zones of inhibition. How quickly the chemical diffuses through the agar: The rate at which the chemical diffuses through the agar medium plays a role in the size of the zone of inhibition. A faster diffusion rate allows the chemical to spread more rapidly, resulting in a larger zone.

In summary, The depth of the agar: The thickness of the agar medium can impact the size of the zone of inhibition. A thicker agar layer may require more time for the chemical to diffuse, which could reduce the size of the zone. Conversely, a thinner agar layer may facilitate faster diffusion and result in a larger zone.

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What happens in an esterification reaction to make a lipid?

Answers

Here is ur answer ....

Many lipids are esters, which result from the chemical reaction of a carboxylic acid with an alcohol. ... Triglycerides, esters formed from one molecule of glycerol (an alcohol) and three fatty acid molecules (carboxylic acids), make up most of the lipids stored in our bodies or found in our diet.

why dont plants photosynthesise in the dark

Answers

Plants respire all the time, whether it is dark or light, because their cells need energy to stay alive. But they can only photosynthesize when they have light.

The oxidation of water occurs during photosynthetic electron transport during the light reactions of photosynthesis. In the absence of a source of light energy (dark reactions have no direct requirement for light energy), oxygen is not produced.

Explain how to distinguish different species by their DNA.

Answers

DNA analysis can be used to distinguish different species by comparing specific regions of their DNA sequences.

To distinguish different species by their DNA, scientists primarily focus on comparing specific regions of the DNA sequences that are highly variable among species. One commonly used region is the mitochondrial DNA (mtDNA), which is inherited maternally and has a higher mutation rate compared to nuclear DNA. Another region is the ribosomal RNA genes (rRNA), which exhibit variations among species.

The process typically involves extracting DNA samples from different organisms, isolating the target region of interest, and sequencing the DNA to determine the nucleotide sequence. The sequences obtained from different species are then compared to identify differences and similarities.

These differences can be used to create DNA profiles or genetic markers specific to each species. Advanced techniques such as DNA barcoding or whole-genome sequencing can provide more comprehensive information and aid in species identification.

By comparing DNA sequences, scientists can uncover genetic variations unique to different species, allowing them to distinguish and classify organisms accurately. This information is valuable in various fields, including taxonomy, conservation biology, forensic science, and evolutionary research.

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When a population is growing exponentially, you can conclude that:
A. there is no competition for resources within the population.
B. the death rate is higher than the birthrate.
C. there is a very high population density in the ecosystem.
D. the environment is at carrying capacity.

Answers

Answer:

a

Explanation:

if there is no competition, the population can live happily

Which of the following defines the atomic number of a given element? The number of protons in the atomic nucleus. The number of electrons in an atom of a given element. The number of protons and neutrons in the atomic nucleus. The number of protons, neutrons, and electrons in an atom of a given element.

Answers

Answer:

The number of protons in the atomic nucleus.

Explanation:

The atomic number of an element represents the number of protons that are in the nucleus.

For example, Silicon has an atomic number of 14, so it has 14 protons in the nucleus.

Studying DNA to find evolutionary similarities among organisms is a type of ____ evidence.

I am very confused on what the answer is

Answers

Studying DNA to find evolutionary similarities among organisms is a type of molecular evidence.

What is  molecular evidence in DNA studies?

For researching the relationships of organisms that are not closely related, such as those that originated from a common ancestor many millions of years ago, molecular evidence is very helpful.

Scientists may determine molecular commonalities between these animals that point to a common ancestor by comparing their DNA sequences, and they can also determine the evolutionary routes that resulted in their divergence.

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when the body actively participates by producing memory b cells and t cells after being exposed to an antigen, this is called

Answers

Active immunity provides resistance by actively participating in producing memory b cells and t cells after being exposed to an antigen.

What is active acquired immunity?

It is the reaction of the immune system to produce antibodies when exposed to a disease-causing organism. It is a lifetime immunity (long-lasting immunity). But it is slow and takes time to show its fully effective response.

It is of two types

Natural active immunity:

It is developed from the exposure of an organism causing disease through natural infection.

Ex: lifetime immunity acquired by an individual after recovering from infections like smallpox, chicken pox, etc.

Artificial active immunity:

The immunity developed by an individual due to the inoculation of weakened antigens into the body.

Ex: immunity develops due to vaccination.

During a primary immune response, it produces effector cells and long-lived memory cells. Memory B and T cells are antigen-specific and on encountering antigen again they show a more rapid and effective immune response known as a secondary immune response.

Hence active acquired immunity is an immunity that was acquired during a lifetime and produces memory b and t cells after being exposed to antigen.

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A biology class wanted to study the effect of different materials on the melting rate of ice. They placed
pieces of ice, each with a mass of 10g, onto trays. Group 1 was covered in plastic, group 2 was covered in
paper, group 3 was covered in aluminum, and group 4 remained uncovered.
Each piece of ice was allowed to melt for 15 minutes. Then final mass of the ice, minus the melted water,
was recorded at the end of
the experiment.

What is the dependent variable in this experiment?

A)The Type of covering
Material

B)The amount of melting Time

C)The starting mass of the ice

D)The Final mass of the ice

Answers

Answer:

The final mass of the ice

Explanation:

It’s in the name of our term: DEPENDENT variable. It relies on other parts of the experiment (the independent variable) to make it happen.

Answer:

D

Explanation:

Then final mass of the ice, minus the melted water, was recorded at the end of the experiment.

What is the relationship Between surface tension and drop diameter?

Answers

Answer:well if the liquid drop has a larger surface area the tension will keep the drop afloat but say it were in the shape of like a needle there is less surface area when the drop hits so it will have less to hold onto and fall in with the rest.

hydrogen bonding increases the strength of the bond so im assuming those

i hope this helped a little bit

Explanation:

Surface tension can be defined as the characteristics of liquid surfaces to withstand exterior forces, as a result of cohesive property of liquid water molecules

The relationship between surface tension and drop diameter, is that as the surface tension increases the diameter of drop it can form increases quadratically

The reason the above relationship is correct is as follows:

A liquid's surface tension is the property of a liquid surface which while at rest collects to obtain the minimum surface area for the given volume

The surface tension is given by the following formula;

\(\gamma = \Delta \rho \cdot g \cdot d_e^2 \cdot \dfrac{1}{H}\)

Where;

γ = Surface tension

\(d_e\) = The maximum diameter

1/H = Correction coefficient

Δρ = The density difference

g = Acceleration due to gravity

Therefore, as the surface tension increases, the length or diameter of the liquid drop it can hold increases more rapidly (quadratically)

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The chart lists some of the benefits and risks of traditional gardening methods versus organic gardening methods.

Traditional Gardening

Plants can grow twice as fast as normal.
Plants can be grown in a very small amount of space.
Soil quickly becomes degraded.
Beneficial insects are killed by use of pesticides.

Organic Gardening

No dangerous chemicals are used.
The health of the soil is maintained or improved.
Synthetic fertilizers and pesticides may get inside the vegetables.
Plant diseases take a longer time to cure.
You need to spend more time in the garden using these methods.

Which of the following is a benefit of organic gardening?
A.
Organic gardening allows you to grow plants in half the time.
B.
Organic gardening uses high-tech synthetic fertilizers and pesticides.
C.
Organic gardening results in stable or improved soil health.
D.
Organic gardening requires more time than traditional gardening.

Answers

Agriculture practises used in organic farming are healthful for both crops and customers. Composted organic waste is fed to the crops using this approach, increasing the soil's fertility & process of self - discovery.

The correct answer is :C.

What are the advantages of organic gardening?

As no chemical are used in organic farming, nitrogen leaching may be efficiently prevented. It improves the quality of the country's standards, provides healthy, nutrient-rich soil, and produces goods of high quality. Organic gardening can be utilized to generate non-food products like cotton.

What does organic gardening entail?

In general, using agricultural chemicals and using synthetic or manufactured fertilizer are two important ways that organic farming varies from process is normally. All synthetic agricultural agents, including weed- and disease-killing insecticides, are not allowed in organic gardening.

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in some fungi and slime molds, mitosis may occur without cytokinesis. what would you expect to find in these species?

Answers

In some fungi and slime molds, mitosis may occur without cytokinesis , Cells that contain multiple nuclei would you expect to find in these species So the correct option is B

Without cytokinesis, mitosis produces a cell with multiple nuclei but a linked cytoplasm (syncytium). A cell containing several nuclei is said to be multinucleated. This may be a frequent occurrence. The cytoplasm would not be split and there would not be two identical daughter cells if cytokinesis did not take place during mitosis. Thus, the cell wouldn't be able to divide into two different cells and would continue to stay at rest.

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Full Question ;

In some fungi and slime molds, mitosis may occur without cytokinesis. What would you expect to find in these species.

a. Cells that don't contain nuclei.

b. Cells that contain multiple nuclei.

c. DNA that never condense into visible chromosomes.

d. Nuclei that never enter interphase.

What is the kinetic energy of a bike with a mask for 16 kg traveling out for 4 m/s

Answers

Answer:

About 128J

Explanation:

\(E_{k} = \frac{1}{2} mv^{2} \\\\E_{k}=128J\)

Indicate the steps in order that bacteria such as Mycobacterium tuberculosis use to obtain ferric iron from the environment.

Answers

Mycobacterium tuberculosis follows the following steps to obtain the ferric iron from the environment:  M. tuberculosis first secretes siderophore into the environment then the siderophore binds to iron. Siderophore iron complex binds to surface and then enters the cytoplasm and then ferric ion is released.

Mycobacterium tuberculosis is a type of bacteria which requires iron for the purpose of normal growth but also faces a limitation of the iron metal ion as it has a low solubility at biological pH. The bacteria follows a few steps by which it obtains iron from the environment.

The first step is when  M. tuberculosis secretes the siderophore into the environment. In the second step the siderophore binds to the iron. Then, the siderophore complex binds to the surface and hydrolysis of ATP occurs by the ABC transporter because of which the complex enters the cell. The ferric ions is then finally released for the bacterium to use.

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Definition: a macromolecule that contains carbon, hydrogen, oxygen, and nitrogen, which is used by the body for growth and repair.

Answers

Answer:

Proteins

Explanation:

Proteins are the main building block of the body. They are required for proper growth of the organism.

A soil sample that is more than 60% clay will be called

A. sandy loam
B. loamy sand
C. clay​

Answers

Answer:

b

Explanation:

Answer:

Clay

Explanation:

Write four characteristics of humans which are totally unaffected by the environment.

Answers

chile i’m typing random stuff cuz it won’t let me submit the answer by itself
Write four characteristics of humans which are totally unaffected by the environment.

What is the expected genotypic ratio among children born to a mother have the genotype I^Ai and a father with a phenotype AB?

Answers

Answer:

AB, AB, AO BO

Explanation:

What is the primary reaction during nuclear fusion to stars?

Answers

This is what happens to the hydrogen gas in the core of the Sun. It gets squeeze together so tightly that four hydrogen nuclei combine to form one helium atom. This is called nuclear fusion. In the process some of the mass of the hydrogen atoms is converted into energy in the form of light.

the human brain is metabolically active and uses what percentage of a person’s energy intake while at rest?

Answers

The human brain is highly metabolically active and uses approximately 20% of a person's energy intake while at rest.

The human brain is the central organ of the nervous system and is responsible for controlling and coordinating all bodily functions. It is a complex and highly organized structure composed of billions of nerve cells called neurons. The largest and most prominent part of the brain, the cerebrum is responsible for higher cognitive functions such as perception, memory, attention, language, and conscious thought. It is divided into two cerebral hemispheres, each further divided into four lobes: frontal, parietal, temporal, and occipital.

Cerebellum: Located at the back of the brain, the cerebellum is involved in motor control, coordination, balance, and posture. It helps fine-tune movements and maintain smooth motor functions. The brainstem connects the brain to the spinal cord and is responsible for vital functions such as breathing, heart rate, and blood pressure regulation. It includes structures such as the medulla oblongata, pons, and midbrain.

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3. explain what a meta-analysis does and what it has in common with direct and conceptual replication.

Answers

A meta-analysis is a statistical technique that combines the results of multiple studies to provide a more comprehensive understanding of a research question. It involves analyzing the data from multiple studies, using a common statistical method, to identify trends and patterns that may not be apparent in individual studies.

Meta-analysis is often used to address questions that cannot be answered by a single study, either because the effect is too small to be detected, or because individual studies have yielded conflicting results. By pooling data from multiple studies, a meta-analysis can provide a more precise estimate of the effect size, as well as identify potential moderators and sources of variability.

In terms of similarities with direct and conceptual replication, all three methods are concerned with assessing the validity and reliability of research findings. Direct replication involves repeating a study using the same methods and procedures, to see if the original findings can be reproduced. Conceptual replication involves testing the same hypothesis using different methods or measures, to see if the findings generalize to other contexts. Meta-analysis, on the other hand, involves synthesizing findings from multiple studies to provide a more comprehensive understanding of the research question. Despite these methodological differences, all three approaches are essential for building a cumulative and robust body of scientific knowledge.

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Air in a P-C device undergoes the following reversible processes such that it operates as a cyclic refrigerator: 1-2 isothermal compression from 1 bar and 300 K to 3 bar, 2-3 adiabatic expansion back to its initial volume, 3-1 isobaric heating back to its initial state. Assume air behaves as a calorically perfect gas. Sketch this cycle in T-s and P-v diagrams. Calculate the work, heat transfer, and entropy change for each of the three processes. Determine the COP for this refrigerator. The predominant frequency of a certain bird chirping sound is 1350 Hz when at rest on top of a tree. What frequency do you detect if the bird takes off and moves at 14.0 m/s (a) toward the observer, and (b) away from observer? a) b) At birth, the newborn was at the 8th percentile with a weight of 2350 g and born at 36 weeks' gestation. Which documentation is most accurate ______ are standardized paper-and-pencil forms that parents, teachers, or other adults complete regarding a childs presenting problems. which type of mental function would be the strongest & most obvious Its stunning natural scenery makes the Great Barrier Reef a popular tourist destination. About two million people visit the reef each year. Most of those visitors are domestic tourists. This is largely due to the fact that Australia is so far away from most places. There are lots of different ways to experience the Great Barrier Reef. Visitors can go diving, fishing, swimming, and enjoy water sports. Some people choose to tour the reef by airplane or helicopter, and others may tour the reef by boat. Tourists can take in the spectacular scenery from a small dinghy or a grand superyacht. There are even glass-bottomed boats that let passengers view the underwater wildlife and scenery. Adventurous visitors may seek out one of the handful of havens where they can swim with wild dolphins. One of the major appeals of these activities is that most of them do not require special training or expensive equipment. There is no one way for people to experience the reef. Regardless of the activities people choose, they encounter some of the most stunning maritime scenery on the planet.Select the word or phrase from the excerpt that helps the reader understand the meaning of the word maritime. aAdventurous visitors may seek bAustralia is so far away from cDo not require special training dUnderwater wildlife and scenery Ryan decided to solve the system by substituting, but when she finished, she was left with 54=45. What does this means for the solution to the problem? may i have assistance, i am very lost on this. Anchen Medicine is a publicly-traded biotech company based in Irvine. It has 200 scientists and technician besides a team of 20 middle managers and top executives. It awards stock options to all of its employees. The companys fiscal year ends on June 30. This years fiscal year ends on June 30, 2021. During the three fiscal years of 2018-2020, the company had a "fixed value" stock option plans. That is, each year, the company granted its employees stock options with fair value of $160 million a year. These stock options all had a vesting period of 4 years. That is, employees had to work for the company for 4 years before they could exercise any of the stock options. On August 1, 2020, the beginning of this fiscal year, the company modified its stock option plan. During the year, the company still granted $160 million worth of stock options, but changed the vesting period to 5 years. Assume tax rates are 20% for all years. It is near the end of the fiscal year. Ana Farrell, the CFO of Anchen Medicine, is working hard to close the books for the current year. She is also preparing for a conference call with financial analysts and some investors. At the conference call, the CFO and CEO will explain the operating and financial performance to the audience. The CFO expects a lot of questions from the audience due to poor sales and bad debt expense related to the Covid19. Some investors may ask why the company is still granting stock options when the performance is bad. Right before this years fiscal year end, Ana had a meeting with the audit committee and external auditor. In the meeting, the auditor showed some data analytics results, which indicated that the exercise price of stock options were set at the lowest point in the stock option grant year for all years 2016-2021. This caused some concerns among the members of the audit team and audit committee. They need an explanation from Ana. Soon afterwards, Ana met with the CEO, Mike Goldberg. Ana discussed with him this years net income, cash flow, and other performance indicators, and the concerns about stock options. 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