3. In a food web which organisms are decomposers?

Answers

Answer 1
Fungi and bacteria are the key decomposers in many ecosystems; they use the chemical energy in dead matter and wastes to fuel their metabolic processes. Other decomposers are detritivores—detritus eaters or debris eaters. These are usually multicellular animals such as earthworms, crabs, slugs, or vultures.
Answer 2
ANSWER

Other decomposers are detritivores (detritus- or debris-eaters).

These are usually multicellular animals such as earthworms, crabs, slugs, vultures, etc.

Hope it helps!

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Related Questions

The chief of staff at the hospital asks if it is possible this fungal pathogen is related to the tropical fungus the disease specialist, your colleague, at the BC CDC mentioned. The disease specialist answers the question by stating that it is possible and explain that although the tropical fungus species may have been transported to Vancouver Island years earlier, it may not caused any illness until now because the tropical fungus may not have been able to cause an infection due to being in a different environment that it was adapted to. However, through the process of natural selection acting on mutations, the original fungus could have evolved adaptations enabling it to successfully infect individuals in this new environment. Do you think the disease specialist's explanation is plausible based on what you know about evolution by natural selection?

Answers

Answer:

Explanation:

Yes, the disease specialist's explanation is plausible based on what we know about evolution by natural selection. Let me break it down for you in simpler terms.

The disease specialist is suggesting that the tropical fungus mentioned by your colleague might be related to the fungal pathogen causing the illness at the hospital. They explain that even though the tropical fungus may have been brought to Vancouver Island some time ago, it might not have caused any illness until now. This could be because the tropical fungus was originally adapted to a different environment and couldn't infect people in the new environment of Vancouver Island.

Now, here's where evolution by natural selection comes into play. Over time, organisms can undergo changes in their traits and abilities through a process called natural selection. Mutations, which are changes in the genetic material of organisms, can happen randomly. If a mutation occurs in the tropical fungus that enables it to infect individuals in the Vancouver Island environment, it could be favored by natural selection.

For example, let's say that due to a mutation, the tropical fungus developed adaptations that allowed it to thrive in the new environment and infect people. These adaptations might include changes in its ability to penetrate human cells or evade the immune system. As a result, the fungus would become more successful at causing infections in the Vancouver Island population.

So, the disease specialist's explanation is plausible because it suggests that over time, through natural selection acting on mutations, the original tropical fungus could have evolved adaptations that made it capable of causing illness in the new environment of Vancouver Island.

A certain species of sea otters lives off the coast of Alaska. Some have the ability to tolerate the colder waters farther north while others stay in the central coastal area. As a result of a large oil spill along the northern coast, most of the otters living in those colder waters die. Afterwards, the population of otters, in general, is now less tolerant of cold water. What is this an example of

Answers

This is an example of natural selection shaping the sea otter population in response to an environmental change caused by an oil spill.

Natural selection is a fundamental concept in evolutionary biology. It refers to the process by which certain traits become more or less common in a population over time, based on their impact on survival and reproduction. In this case, the oil spill along the northern coast of Alaska had a significant impact on the sea otter population.

Initially, the sea otter population consisted of individuals with varying levels of cold water tolerance. Some otters were able to thrive in the colder waters farther north, while others preferred the central coastal area. However, the oil spill caused a large number of otters living in the colder waters to die. This event created a strong selective pressure on the population.

As a result, the surviving otters were primarily those with a higher tolerance for the central coastal area, where the water is relatively warmer. The otters with a lower tolerance for cold water were less likely to survive and pass on their genes to the next generation. Over time, this led to a shift in the overall population's tolerance for cold water, with a higher proportion of otters adapted to the warmer central coastal area.

This example demonstrates how environmental changes can influence the distribution of traits within a population through natural selection. It highlights the role of selective pressures in shaping the characteristics of a species over generations.

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What's better chocolate or candy
btw candy is any expect chocolate

Answers

chocolate 10/10
candy is too sweet and plastic-y
chocolate is not too sweet and tastes good (dark is the best) :))

How do you elaborate on the term basic nature patterns, reference to the genetic diversity that naturally occurs in nature through recombining genes allowing mutations to happen and allowing for natural selection vs transgenesis?

Answers

Natural patterns observed in nature are due to a slow process of natural selection, which requires genetic diversity as a prerequisite, while transgenesis may jump adaptive barriers.

What is genetic diversity?

Genetic diversity makes reference to the whole pool of genetic variants (alleles) present in natural populations.

Genetic diversity is a prerequisite for the emergence of evolutionary adaptive strategies selected by natural selection, conversely to transgenesis, a method of human selection.

In conclusion, natural patterns observed in nature are due to a slow process of natural selection, which requires genetic diversity as a prerequisite, while transgenesis may jump adaptive barriers.

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what two noteworthy physical stains of corynebacterium xerosis are visible after performing a simple stain

Answers

The stain serves teh purpose of improving the visibility of the corynebacterium xerosis  organism.

What are the physical stains?

The bacterium Corynebacterium xerosis can be seen using a straightforward stain. Despite the stain's potential to draw attention to the general morphology and arrangement of the bacteria, it offers no precise details regarding any standout physical stains. Instead, a straightforward stain usually employs a solitary dye to colorize the bacterial cells, making it simpler to see them under a microscope.

Simple stains are used to add contrast and improve visibility, but they don't show any distinctive physical traits or stains that are exclusive to Corynebacterium xerosis.

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What is the relationship between III-1 to III-2

What is the relationship between III-1 to III-2

Answers

Answer:

III 2 IS THE HUSBAND OF III1

How does photosynthesis change energy?

Answers

photosynthesis, the process by which green plants and certain
other organisms transform light energy into chemical energy.

Your science teacher has charged you and your partner with making a dichotomous key .He has given you a chart of organisms that are all fish

Answers

The given question is incomplete it lacks the main question, group of choices, and dichotomous key, however, the correct question is attached as an image:

Answer:

The correct answer is - B) body shape

Explanation:

In this given dichotomous key, one can distinguish and identify the particular fish on their characteristics feature present in the diagram. In this chart, there are 9 different types of fish that share some characteristic features such as fins, stripes, the shape of tails, and others.

The body shape of the fishes is the best characteristic to begin the choice of keys here, the shape of fishes that are skinny and long and little fat and small in comparison helps in distinguish these fishes.

Your science teacher has charged you and your partner with making a dichotomous key .He has given you

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

USING THE PICTURE, FILL IN THE BLANK WITH EACH LETTER.

___ 1. Snow Precipitation
___ 2. Rain Precipitation
___ 3. Evapotranspiration
___ 4. Stream Flow/ Surface Runoff
___ 5. Sublimation
___ 6. Infiltration
___ 7. Groundwater Flow
___ 8. Groundwater Storage
___ 9. Fresh Water Pond
___ 10. Ocean
___ 11. Evaporation

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP

Answers

Answer:

This is in-order:

D

E

B

F

C

I

G

H

J

K

A

During which phase of meiosis are the homologous chromosomes first separated from each other?.

Answers

Answer:

anaphase

Explanation:

What are the properties of copper.

Answers

Answer:

Copper is a reddish metal with a cubic crystalline structure that is face-centered.

Explanation:

Due to its band structure, it reflects red and orange light while absorbing other visible spectrum frequencies. This gives it a nice reddish tint. Copper is also malleable, ductile, and an excellent heat and electricity conductor.

Many biological populations, both plant and animal, experience seasonal growth. For example, an animal population might flourish during the spring and summer and die back in the fall. The population f(t), at time t, is often modeled by
f(t) = f(0)eksin (t),
where f(0) is the size of the population when t = 0.
a) Which best describes f(t)?
f(t) is a composite function.
f(t) is a constant times a sine function.
Of(t) is an exponential function.
f(t) is a constant times a composite function.
Of(t) is a power function.
Suppose that f(0) = 1500 and k number. 2.5. Find the following. Round to the nearest whole

Answers

A) The function is a composite function, and when the given restrictions are used, the function becomes:

f(t) = 1500*exp(2.5*sin(t))

How to work with the population function?

Here we have the population function:

f(t) = f(0)*exp(k*sin(t))

So we have an exponential function with a sinusoidal argument.

a) The best description is a composite function, because there we can see an exponential and a sinusoidal functions.

Finally, if:

f(0) = 1500

k = 2.5

Then the function becomes:

f(t) = 1500*exp(2.5*sin(t))

That is the population function.

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RuBisCo's oxygenase function results in _____

Answers

RuBisCo's oxygenase function results in photorespiration. RuBisCo (Ribulose-1,5-bisphosphate carboxylase/oxygenase) is the key enzyme involved in the process of carbon fixation during photosynthesis.

Its primary function is to catalyze the carboxylation of RuBP (Ribulose-1,5-bisphosphate) by adding CO2 to form two molecules of 3-PGA (3-phosphoglycerate), which can be used to produce sugars and other organic compounds.

However, under certain conditions, RuBisCo can also catalyze the addition of oxygen to RuBP, resulting in the formation of one molecule of 3-PGA and one molecule of 2-phosphoglycolate. This reaction is called oxygenation and leads to the production of a toxic compound that must be metabolized by the plant in a process called photorespiration.

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which of the following is a disadvantage of using biofuel?a.it involves burning fossil fuels.b.it is readily available in most places.c.it has a low fuel cost.d.it is biodegradable.

Answers

The disadvantage of using biofuel is not mentioned among the options provided.

However, it is worth noting that one of the potential drawbacks of biofuel production is that it may compete with food production and lead to higher food prices. This is because some crops, such as corn and sugarcane, can be used to produce both food and biofuels. Additionally, biofuel production can also have negative environmental impacts, such as deforestation and soil degradation if land is converted for crop cultivation. Another limitation of biofuels is that their production requires significant amounts of energy and water, which can be a challenge in regions with limited resources. Therefore, it is important to carefully consider the potential drawbacks and benefits of biofuels before embracing them as a solution to our energy needs.

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Did the enzymes from Claire's small intestine break down the protein at a low, normal or high rate?
Low
Normal
High
Protein
Lipids
Carbohydrates

Answers

The enzymes from Claire's small intestine broke down the carbohydrates at a high rate. When Claire's small intestine released enzymes, they broke down the carbohydrates at a high rate.

Claire's small intestine can break down lipids, carbohydrates, and proteins, but the speed at which they do so differs. The enzymes in the small intestine are used to break down the foods that we eat into smaller, more easily digestible pieces.

The small intestine is where most of the digestion of carbohydrates, proteins, and fats occurs, and the digestive system is responsible for breaking down these macronutrients. Claire's small intestine breaks down carbohydrates at a high rate.

It's worth noting that the digestive enzymes in the small intestine are responsible for breaking down food, with carbohydrates and lipids being broken down the fastest.  In contrast, proteins are broken down more slowly compared to carbohydrates and lipids. Therefore, enzymes from Claire's small intestine broke down the carbohydrates at a high rate.

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in general molecular chaperone proteins function bya) mediating disulfide bond formationb) synthesizing new proteins when one is misfolded.c) preventing premature folding by binding hydrophobic regions of the protein.d) enhancing salt bridge formation.e) none of the above

Answers

The correct option is c) preventing premature folding by binding hydrophobic regions of the protein.

Molecular chaperone proteins act as protective agents by binding to exposed hydrophobic regions of proteins, preventing their premature folding and aggregation. By doing so, they help in maintaining protein stability and ensuring proper protein folding, which is crucial for their functional activity.

Among the given options:

a) Mediating disulfide bond formation: While some chaperones may assist in the formation of disulfide bonds, this is not the general function of molecular chaperones.

b) Synthesizing new proteins when one is misfolded: This is not the primary function of molecular chaperones. They do not synthesize new proteins but rather help existing proteins to fold correctly.

c) Preventing premature folding by binding hydrophobic regions of the protein: This is the correct answer. Molecular chaperones often bind to exposed hydrophobic regions of proteins to prevent premature folding and maintain their stability.

d) Enhancing salt bridge formation: While chaperones may aid in stabilizing protein structures, their main role is not focused on enhancing salt bridge formation.

e) None of the above: The correct answer is option (c) - preventing premature folding by binding hydrophobic regions of the protein.

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Which organelle makes the proteins that are needed by the cell?
cell membrane
Golgi apparatus
ribosomes
nucleus

Answers

Answer: The answer is "Ribosomes".

Explanation: Ribosomes are responsible for making protein through amino acids. The proteins created are essential to cell and organismal function. Some ribosomes are attached to the endoplasmic reticulum (rough ER), others float freely within the cytoplasm.

Answer:

ribosomes is right

Explanation:

i just did it and passed sooooo

Module 3_Discussion In this module we discussed the Theory of Constraints. Looking at the recent Covid situation, how would you say the Theory of Constraints applied to the production of breathing masks in the United States? What did the U.S. government do to remove constraints when it came to vaccine production?

Answers

The Theory of Constraints addresses bottlenecks in mask production. The US government expedited vaccine development and production, increased funding, and secured essential supplies to remove constraints.

The Theory of Constraints (TOC) can be applied to the production of breathing masks in the United States by identifying and addressing the bottlenecks or constraints that hinder the production process. For example, during the early stages of the COVID-19 pandemic, there was a shortage of raw materials, manufacturing capacity, and distribution channels for masks. TOC would suggest focusing efforts on alleviating these constraints to increase mask production. This could involve sourcing additional raw materials, expanding manufacturing capabilities, optimizing production lines, and streamlining distribution logistics.

Regarding vaccine production, the U.S. government implemented several measures to remove constraints. They worked to expedite the regulatory approval process for vaccines, facilitating faster development and production. The government provided funding to vaccine manufacturers to expand their manufacturing capacity and ramp up production. They also invoked the Defense Production Act to secure essential supplies and equipment needed for vaccine production. These actions aimed to eliminate constraints such as limited production capacity, logistical challenges, and supply chain disruptions, allowing for a more efficient and accelerated vaccine production process.

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The correct question is:

Looking at the recent Covid situation, how would you say the Theory of Constraints applied to the production of breathing masks in the United States? What did the U.S. government do to remove constraints when it came to vaccine production?

What is the significance of light-dependent reaction products for the production of glucose?

Answers

Explanation:

The endergonic (def) light-independent reactions of photosynthesis use the ATP and NADPH synthesized during the exergonic (def) light-dependent reactions to provide the energy for the synthesis of glucose and other organic molecules (def) from inorganic carbon dioxide and water.

Weekly Assessment #9
Insects, arachnids, worms, and mollusks all belong to which group?
verterbrate
classification
invertebrate
vascular

Answers

Answer: Invertebrate

Explanation: Invertebrate do not have a spine.

Where is a continental shelf usually found?
A. At the edge of an ocean, where one plate slides under another
B. In the middle of an ocean, at a mid-ocean ridge
C. At the edge of an ocean, along the border of its shore
D. In the middle of an ocean, where two plates move toward each
other

Answers

Answer:

D

Explanation:

I did this and got it right!

Answer:

Its D) In the middle of an ocean, where two plates move toward each

other.

Explanation:

For more detailed explanation.

A continental shelf extends from the coastline of a continent to a drop-off point called the shelf break. From the break, the shelf descends toward the deep ocean floor in what is called the continental slope. Even though they are underwater, continental shelves are part of the continent

Hope it helps.^-^

Biomes are regions in the world that share similar Response area Response area, plant structure , Response area, Response area and Response Area

Answers

The term "biome" refers to a region of the planet where the soil type, plant and animal life, climate, and other environmental elements are comparable.

How is a biome defined?

A location is categorised as a biome based on the species that call it home. Scientists can characterise a biome by describing the temperature range, soil type, amount of light, and water that are particular to an area and create niches for specific species.

What do biome regions refer to?

The five primary categories are aquatic, grassland, forest, desert, and tundra biomes. Some of these, such freshwater, marine, savanna, tropical rainforest, temperate rainforest, and taiga, can be further separated into more focused groupings. Aquatic biomes encompass both marine and freshwater biomes.

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A twisted ladder can be a model of structure of a DNA molecule. In this model, what are the sides of the ladder made of

A. Amino acids
B. Oxygen and nitrogen
C. Nitrogen bases
D. Sugar and phosphate parts

Answers

C. Nitrogen bases constitute the sides of the ladder of DNA structure.

What is the DNA composed of?

In the DNA double helix, the nitrogenous bases are arranged in pairs and held together by hydrogen bonds. Adenine pairs with thymine and guanine pairs with cytosine. The sugar and phosphate molecules form the sides of the "ladder" and alternate to form the backbone of the DNA molecule. The sequence of nitrogenous base pairs determines the genetic information stored in DNA.In the DNA double helix, the nitrogenous bases are arranged in pairs and held together by hydrogen bonds. Adenine pairs with thymine and guanine pairs with cytosine. The sugar and phosphate molecules form the sides of the "ladder" and alternate to form the backbone of the DNA molecule. The sequence of nitrogenous base pairs determines the genetic information stored in DNA.

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Shifty shrubs A team of researchers noted that a species of shrubs in North America has shifted its range northward during the last 30 years. Based on this observation, the researchers concluded that global warming pushed this species toward a cooler region. However, a second team of researchers decided to measure the thermal niche of the species in the laboratory, discovering that the critical thermal maximum exceeds the highest temperatures that this species experienced in the past or present. This second team also noted that several species of birds, which help to disperse the seeds of the shrubs, have shifted their ranges northward in the past 30 years. Use this information and your knowledge about biology to answer questions 31-35. 31. The first team of researchers drew their conclusion from knowledge of the fundamental niche. True False 2.5 points QUESTION 32 The second team of researchers measured the realized niche of shrubs. True False 2.5 points QUESTION 33 To verify that shrubs could live at lower latitudes, the second team of researchers would need to transplant some shrubs southward while replanting others in the current range. True False 2.5 points QUESTION 34 The species of shrubs could have shifted northward because southern climates became too warm or dry for the species of birds that disperse seeds. True False 2.5 points QUESTION 35 The geographic range of this species of shrubs will likely remain the same as Earth warms during the next three decades. True False

Answers

False: The first team of researchers drew their conclusion from knowledge of the fundamental niche.

False: The realized shrub niche was measured by the second research team.

True: shrub species may have moved northward as a result of southern temperatures becoming too hot or dry for seed-dispersing bird species.

True: The second team of researchers would need to transplant some shrubs southward while replanting others in the current range.

False: As the Earth heats over the next three decades, this species of shrub's global range is probably going to stay the same.

The first team of researchers drew their conclusion from knowledge of the realized niche. The broad range of environmental conditions where a species may be able to thrive and procreate is referred to as the basic niche. However, the first team of researchers observed the range shift of the shrubs in North America, which indicates the realized niche.

The realized niche refers to the actual range of environmental conditions where a species is found, considering factors such as competition, predation, and other biotic interactions. By observing the northward shift of the shrubs, the researchers inferred that global warming pushed the species toward a cooler region, which is an observation related to the realized niche.

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In pea plants, purple flower color, C, is dominant to white flower color, c. The table shows the frequencies of the dominant and recessive alleles in three generations of peas in a garden. Allele Frequency for Flower Color in Peas Generation p q 1 0. 6 0. 4 2 2000. 7 0. 3 3 2000. 8 0. 2 Which scientific question might these results cause a scientist to ask? Which population most likely experienced a genetic mutation? Why do some pea plants have purple flowers and others have white flowers? Would the frequency of alleles change if the pollinators in the area all died? Is there another way to calculate the frequencies of the alleles in this population?.

Answers

The scientific question that these results might cause a scientist to ask is: Is there another way to calculate the frequencies of the alleles in this population?.

The given table presents the frequencies of the dominant (p) and recessive (q) alleles for flower color in three generations of pea plants. However, the frequencies in generation 2 and 3 are listed as "2000.7" and "2000.8," which seems to be a typographical error or an inconsistency in the data. This discrepancy might lead a scientist to question the accuracy of the values and seek alternative methods or calculations to determine the correct frequencies of the alleles in the population.

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what is the epithelial layer (of the ciliary body)?

Answers

The epithelial layer of the ciliary body is a layer of cells located in the ciliary body of the eye, which is a ring-shaped structure that surrounds the lens.

The ciliary body is responsible for the production of aqueous humor, which is a fluid that helps maintain the pressure of the eye and provides nutrients to the cornea and lens.

The epithelial layer of the ciliary body is composed of two parts: the non-pigmented epithelium and the pigmented epithelium.

The non-pigmented epithelium is responsible for the production of aqueous humor, while the pigmented epithelium helps regulate the amount of light entering the eye by changing the size of the pupil.

The epithelial layer of the ciliary body is essential for maintaining the health and function of the eye, and any disruption to this layer can lead to a variety of eye diseases and conditions.

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why does hormone 1 influence the action of gland a but not gland B or C

Answers

Answer:

Every activity in gland A is different from the activities in glands B and C.

The cells of glands B and C contain different receptors than the cells of gland A.

Each gland contains cells that have different base sequences in their DNA.

Explanation:

Please give the brainliest.

How could service delivery enhance ownership of delivery services, thereby avoid destruction of already built infrastructure during service protests

Answers

Improving service delivery is essential to reduce the risk of service protests resulting in the destruction of already built infrastructure.

Here are some strategies that could be employed to enhance ownership of delivery services:

1. Improve communication and transparency: Ensuring that all stakeholders are kept informed about the process of service delivery and that any grievances or issues are addressed swiftly is essential. This will help to reduce the potential for unrest.

2. Engage local stakeholders: Engaging local stakeholders in the delivery process is an important step to foster ownership of the service delivery process. This could be done through participatory planning or through creating a platform for dialogue between the stakeholders.

3. Quality assurance and monitoring: Regular monitoring and quality assurance of the service delivery process can help to ensure that the services being delivered are of good quality. This will also help to foster ownership and commitment to the process.

4. Create a culture of ownership: Establishing a culture of ownership amongst stakeholders is important in order to ensure that they feel they have a vested interest in the service delivery process. This could be done through capacity building and training programs.

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what is the chemical equation of digestion of carbohydrates?​

Answers

Answer: Digestion of carbohydrates is performed by several enzymes. Starch and glycogen are broken down into glucose by amylase and maltase. Sucrose (table sugar) and lactose (milk sugar) are broken down by sucrase and lactase, respectively.

Explanation:

ello friend....
here is ur ans...
C₁₂H₂₂O₁₁+H₂O give rises to C₆H₁₂O₆+C₆H₁₂O₆+HEAT
hope it helps u....

Which of the following characteristics of the ribose is required for termination of a DNA strand in DNA sequencing? Select one: a. 2'-H b. 3'-OH (hydroxyl)

Answers

The characteristic of ribose required for the termination of a DNA strand in DNA sequencing is 3'-OH (hydroxyl). So the correct answer is option B.

Ribose is a pentose sugar which is the fundamental building block of nucleotides. The ribose sugar makes up the backbone of RNA, just like deoxyribose in DNA, RNA is synthesized in the 5' → 3' direction. The addition of nucleotides begins at the 3' end and ends at the 5' end, 3' end of the nucleotide contains a hydroxyl group (-OH), whereas the 5' end contains a phosphate group (-PO4). When a dideoxynucleotide triphosphate (ddNTP) is incorporated into the elongating DNA strand, there is no 3'-OH group present in the ddNTP.

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Which option is the clearest example of ethos in media?O A. Citing facts and statistics about crimeO B. Showing images of adorable kittensO c. Playing the sounds of someone cryingD. Interviewing an engineering expert for a best of 3 set tennis match, would you bet on it finishing in two sets or three sets given that probabilty of winning a set is constant? What factors are used to measure GDP? If a state made a previously-illegal activity, such as gambling or prostitution, legal, then, other things equal, GDP. increases. 1. Calculate how many moles of glycine are in a 130.0-g sample of glycine.2. Calculate the percent nitrogen by mass in glycine. CurriculumWorkKeys Curriculum Applied Math LevelsLevel 5: Fractions with Unlike DenominatorsThis question: 00:09Total: 0Toolbox83.3% CompleteThisQ. To find out how much raw material will be removed from a product your company manufactures,find the common denominator needed to subtract the following fractions. The common denominatoris5 26 7HINT write the zeros of this function: f(x) = 25 - 75x - 100x^2 13. The number of elephants at the circus was two fifths of the number of horses. If there were 16 elephants, how manyhorses were there? Find the sin, cos and tan Determine whether the series converges or diverges. 00 n + 1 + n = 1 converges diverges which system creates blood cells? system Which term is used to describe the viral nucleic acid genome enclosed within a protein coat?A) NucleocapsidB) ProtomerC) EnvelopeD) Capsomer Yvette is interpreting a vulnerability that has a CVSS base score of 9.3. What risk category would this vulnerability fit into what would a duty ethicist say about spanking How does water change its state as snow, hail, and sleet melt in the runoff part of the water cycle? use proof by case to show that min(a, min(b, c)) = min(min(a, b), c) where a, b, and c are integers. john gates made $25,000 last year and paid $2,500 in taxes on this income. jane smith made $30,000 last year and paid $3,000 in taxes on this income. what type of tax is the government using? Express as a trinomial.(x - 3)(3x - 5) find the directional derivative, duf, of the function at the given point in the direction of vector v. f(x, y) = 6 ln(x2 y2), (4, 5), v = Describe how control is achieved by responsibility centres.(10marks)Please give explanation briefly