A population of bacteria is treated with an antibiotic. It is estimated that 5,000 live bacteria existed in the sample before treatment. After each day of treatment, 40% of the sample remains alive. Which best describes the graph of the function that represents the number of live bacteria after x days of treatment?A. f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0

B. f(x) = 5000(0.6)x, with a vertical asymptote of x = 0

C. f(x) = 5000(1.4)x, with a horizontal asymptote of y = 0

D. f(x) = 5000(1.6)x, with a vertical asymptote of x = 0

Answers

Answer 1
Answer: "f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0" is the one among the following choices given in the question that best describes the graph of the function that represents the number of live bacteria after x days of treatment. The correct option among all the options that are given in the question is the first option or option "A".
Answer 2
Answer:

Answer:

The correct option is A.

Step by step explanation:

The exponential function is defined as

f(x)=ab^x

Where, a is initial value and b is growth factor or decay factor.

The initial population of bacteria is 5000.

After each day of treatment, 40% of the sample remains alive. It means the growth factor or decay factor is

(40)/(100)=0.4

Therefore the required function is

f(x)=5000(0.4)^x

The horizontal asymptote is y=0 because

f(x)\rightarrow 0\text{ as }x\rightarrow\infty

Therefore option A is correct.


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Many new groups of organisms evolved in a relatively short time in an event called the _____.

Why do cash crops benefit landowners but do not help local people

Answers

Cash crops are basically that crops that is being grow in a certain place and sell in the market. Cash crop benefits the landowners because they are the ones who are getting a lot of profit from it. While local people are not getting any advantage from it because it is exported to some places or countries.

The crops are exported.

Natural selection favors pathogens with

Answers

The answer is a drug-resistance. 

In natural selection, genotype variations that will increase the chance of survival and reproduction of some organism are preserved and will be inherited. The drug resistance is the trait that increases the chance of bacterial survival and reproduction.Thus, if there are pathogens with drug-resistance and pathogens without drug-resistance, then natural selection will favor those pathogens that are drug resistant. 

A plant in a dark room is being set up with a light source so it can photosynthesize. Pick from the following list the best choice for this light source to maximize photosynthesis.

Answers

Answer:

A bright light close to the plant.

Explanation

Plants grown in bright light had higher rates of apparent photosynthesis per unit leaf area in bright light, and slightly lower rates in dim light than did those of plants grown in dim light. Dark respiration rates were higher in plants grown in bright light than in plants grown in dim light and the decline of photosynthesis with increasing leaf age was faster.

The rate of apparent photosynthesis in bright light of the first leaf to become fully expanded after plants were transferred from bright to dim light was lower than that of plants remaining in bright light. The decline in the rate of photosynthesis of a leaf already fully expanded at the time of transfer was not affected. Transferring from dim to bright light increased the rate of photosynthesis of the next expanded leaf; it also increased the rate of an already fully expanded leaf during the first week in bright light.

Get it?1. Explain the factors that
have contributed to an
increase in the survival rate
of the human population.
How have these factors
contributed to the
homeostasis of the
population within its
environment? Explain.

Answers

Answer:

I am answering just from my knowledge

The factors that have contributed to an increase in human population are two main e.g Increase in birth rate and decrease in death rate.

Increase in birth rate is due to more food production and food supply.Massive increase in agricultural productivity.More life expectancy etc.There is a decrease in death rate beacauseof eradication of diseases,better hygiene,cleanliness and development in medical facilities. Similarly, populations of organisms respond to external factors for a collective benefit. All populations must have an adequate amount of food, water, shelter, and space. ... Biotic factors like predation and competition for food are also limiting factors.the technologies used to achieve this transformation have caused unprecedented changes to Earth’s environment, altering ecosystems to the point where some may be in danger of collapse. The depletion of the ozone layer, erosion due to acid rain, and damage from global climate change are caused by human activities. The ultimate effect of these changes on our carrying capacity is unknown. As some point out, it is likely that the negative effects of increasing carrying capacity will outweigh the positive ones—the world’s carrying capacity for human beings might actually decrease.good luck

Final answer:

The increase in the human population's survival rate can be attributed to advances in medical technology, improved sanitation, and enhanced nutrition.

Explanation:

Several factors have significantly contributed to an increase in the survival rate of the human population and consequently to its homeostasis within its environment. Among these key influences include advances in medical technology, improved sanitation, and enhanced nutrition.

Medical technology advancements, such as vaccinations and antibiotics, have significantly reduced mortality rates, especially among infants and children. Coupled with an overall improvement in healthcare services, these interventions have extended life expectancy.

Improved sanitation has also played a significant role in increasing the survival rate. Access to clean water and waste disposal systems prevent the spread of disease, improving overall public health. Moreover, legislation and increased awareness of hygiene principles have made environments safer for human habitation.

Furthermore, an enhanced nutrition contributes to a healthier population, building immunity and strengthening the human body against illnesses. Expansion of food production technologies and improved transport infrastructure have ensured more balanced diets for a larger portion of the population.

These factors collectively contribute to the population homeostasis. A lower mortality rate coupled with a stable birth rate maintains a balanced population growth. Additionally, healthier individuals can interact more harmoniously with their environment, preserving resources more effectively for future generations.

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Feather color in budgies is determined by two different genes, Y and B, one for pigment on the outside and one for the inside of the feather. YYBB, YyBB, YYBb or YyBb is green; yyBB or yyBb is blue; YYbb or Yybb is yellow; and yybb is white. A blue budgie is crossed with a white budgie. Which of the following results is possible?a. green offspring
b. yellow offspring
c. blue offspring
d. A and B
e. A, B, and C

Answers

In a dihybrid cross, a blue budgie is crossed with a white budgie creating only blue offspring because all the progeny will show genotype yyBb, option c is correct.

What is a dihybrid cross?

In a dihybrid cross, one character is dominant over the other and masks the other allele and in a dihybrid cross, it follows the law of independent assortments.

Blue offspring only, because If a bluebudgie is crossed with a white budgie,  yyBB or yyBb × yybb. let us yyBb for blue budgie, so we have; yB, yb, yB, yb representing the gametes.

On the other hand, in white budgie yybb, we will have yb, yb, yb, yb representing the other gamets in the cross. if a dihybrid cross occurs among these results, all progeny in marks will be yyBb, showing that they are all Blue offspring only.

Therefore all the progeny will be blue, hence option c is correct.

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Answer:

Blue offspring only

Explanation:

If A blue budgie is crossed with a white budgie.

i.e yyBB or yyBb × yybb

let use yyBb for blue budgie,so we have; yB, yb, yB, yb representing the columns on the horizontal rows of the punnet square.

on the other hand, in white budgie yybb, we will have yb, yb, yb, yb representing the rows on the vertical column of the punnet square.

if a dihybrid cross occurs among these representative, all progeny in the punnet square will be yyBb, showing that they are all Blue offspring only.

How is the meaning of theory in science different from the everyday use of the term

Answers

In everyday use, theory is used to mean a guess or idea about how something works. In science we would call that a hypothesis not a theory. A scientific theory is a well sustained proposal or explanation based on facts that have been repeatedly confirmed through experiments and observations. To sum up, a theory in the real world is basically a guess, and a theory in the science world is a well though out plan that has been tested and a more intact thought.