How can a cup of water decrease in temperature? please answer my question in a scientific method, the questions will be below.

Step 1: Observation

Step 2: Research:

Step 3: Hypothesis:

Step 4: Experiment – explain the experiment that you would perform

Step 4a- The control variable

Step 4b- The dependent variable

Step 4c- The independent variable

Step 5- What do you predict the conclusion to be?

Answers

Answer 1

The first step for this experiment is observation where it is found that a cup of water decreases in temperature. The rest of the steps are described in the explanation part.

What is a Scientific method?

A scientific method may be characterized as the process of objectively establishing facts through testing and experimentation. The basic process involves making an observation, forming a hypothesis, making a prediction, conducting an experiment, and finally analyzing the results.

The second step is research in which a cup of water is placed at different temperatures where it can easily change its state from liquid to solid. The hypothesis governs that the amount of water in a cup may lower or decreases when it is exposed to several temperatures.

The experiment is performed on the basis of certain evidence and assumptions in order to predict some conclusion. The control variable is the influence of temperature. The dependent variable is the amount of water and the independent variable is the exposure to temperature.

Therefore, it is concluded that a cup of water decreases in temperature.

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Related Questions

please help me, I'm from Vietnam you can translate

Answers

Answer:

What does it say? I can't read it well

Explanation:

It is easier to carry out a controlled experiment in the field than it is in the laboratory. True or false

Answers

Answer:

true

Explanation:

What are 3 controllable and 3 uncontrollable risk factors?

Answers

Controllable risk factors are those that can be modified or changed through lifestyle choices or medical interventions. Uncontrollable risk factors are those that cannot be modified or changed.

Smoking is a major risk factor for many diseases, including lung cancer, heart disease, and stroke. Quitting smoking Controllable can significantly reduce the risk of these diseases. A diet high in saturated and trans fats, cholesterol, sodium, and added sugars Controllable can increase the risk of heart disease, risk factor stroke, and other chronic diseases. Eating a healthy diet that is rich in fruits, vegetables, whole grains, lean proteins, and healthy fats risk factor can lower the risk of these diseases. A Uncontrollable person's risk of certain diseases, such as heart disease and cancer, Uncontrollable risk factor can be influenced by their family history. Men have a higher risk of heart disease than women, while Uncontrollable risk factor women have a higher risk of osteoporosis and breast cancer.

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Please help! best answer gets brainliest

Answers

Answer:

help with what ? theres nothing there

What are two factors that increase the genetic variation in a population ?

Answers

Gene flow and genetic drift are two factors that increase the genetic variation in a population.

Genetic variations are the changes or alterations which can occur in the sequence of gene of the DNA. These genetic variations are very necessary as they enable different living beings to evolve and also survive. There are two factors which can cause an increase in the genetic variation of a particular population and they are gene flow and genetic drift.

Gene flow can be defined as the movement of genes which occurs in and out of a specific population.  The in-flow of genes in a population can help increase the genetic variation of the individuals that are a part of that  population. Genetic drift is defined as the change in allelic frequency of a  population which occurs by chance. It brings about genetic variation.

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Describe at least 4 concepts learned this unit in genetics. Explain why each concept is important. (Digital biology 10th grade)

Answers

Transcription and gene regulatory networks. coding and noncoding RNA mechanisms of action and function. protein synthesis are 4 concepts learned this unit in genetics.

What is genetics?

The study of genes and heredity, or how particular characteristics or traits are passed from parents to offspring as a result of changes in DNA sequence, is known as genetics. A gene is a section of DNA that has the instructions needed to create one or more molecules that support bodily function. A double helix, or corkscrew-shaped ladder, is how DNA is shaped. The bases are pairs of the four building blocks adenine, thymine, guanine, and cytosine, and the two ladder rails are referred to as the backbones. The instructions for constructing molecules, the majority of which are proteins, are included in the sequences of these nucleotides. According to researchers, there are around 20,000 genes in humans.

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Why did Mendel choose pea plants 3 reasons )? How did these characteristics help make it easier for Mendel to figure out the patterns to heredity?

Answers

Mendel chose garden pea for his experiment because are bise-xual, self pollinating they have a shorter life span, and also have visible physical characteristics which made it easier to study them.

Mendel conducted a lot of experiments on plant breeding and gave the laws of inheritance. He selected garden pea for his experiments for three reasons which made it easier for him to figure out the patterns for heredity. The first reason is that the garden peas have a short life span due to which they are able to grow quickly and are therefore are easy to maintain.

The second reason is that the garden peas have bise-xual flowers and due to this reason they have the ability to self-pollinate. The third reason is that these plants have visible phenotypic characters which makes them easy to study.

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When describing DNA replication we say that DNA polymerase synthesizes the new strand in a 5' to 3' direction, moving down the template strand from 3' to 5'. Briefly explain why replication always proceeds in this direction

Answers

DNA replication occurs in a 5' to 3' direction because the enzymes used for replication, known as DNA polymerases, can only add nucleotides to the 3' end of an existing strand of DNA.

This is because the 3' end has an exposed hydroxyl (-OH) group which can be used to add to the growing strand of nucleotides. As such, the polymerase moves down the template strand from 3' to 5', adding new nucleotides in the 5' to 3' direction.

This ensures that the newly synthesised strand is complementary to the template strand, as newly added nucleotides are added in the same direction as the original strand.

Additionally, this directional synthesis also means that both strands of the DNA double helix can be synthesised simultaneously, with each strand serving as the template for the other. This ensures that the complete DNA molecule is correctly replicated in the same manner as the original strand.

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Which of the following conclusions about the radiolabeled amino acid is best supported by the results of the experiment

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It was largely integrated into proteins that control and oversee metabolic processes.

Amino acid molecules comprise proteins. Proteins and amino acids are the building blocks of life. After proteins have been digested or denatured, amino acids are still present. In order to maintain the body, the human body makes proteins from amino acids:

The body can produce energy from amino acids to digest food, grow, repair bodily tissue, and carry out a variety of other bodily functions.

Amino acids are divided into three groups:

Important amino acids

Unneeded amino acids

conditional amino acids

Amino acids are necessary for the synthesis of body protein as well as other essential nitrogen-containing compounds like creatine, peptide hormones, and certain neurotransmitters. Even though allowances are portrayed as meeting biological needs, amino acids.

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What specific host gene functions would you consider as strong candidates for such methylation by infecting viruses

Answers

Many viruses specifically methylate genes associated with the immune response, thus dampening that response and enhancing viral infectivity.

What are genes and what do they do?

A gene is the most fundamental physical and functional element of heredity. DNA is the building block of genes. Some genes serve as blueprints for the creation of proteins. Many genes, however, do not code for proteins. Genes in humans range in size from a few hundred DNA bases to over 2 million bases.

What are the four primary roles of genes?

Gene functions include:

Genes are genetic material components and consequently units of heredity.They have control over an individual's morphology or phenotype.Gene replication is required for cell division.Hereditary information is passed down through generations via genes.

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Full Question: What specific host gene functions would you consider as strong candidates for such methylation by infecting viruses?

Many viruses specifically methylate genes associated with the immune response, thus dampening that response and enhancing viral infectivity.

Many viruses specifically methylate protective genes, thus enhancing viral infectivity.

Many viruses specifically methylate genes associated with the cell cycle, thus activating DNA amplification and enhancing viral infectivity.

Many viruses specifically methylate genes associated with apoptosis, thus dampening that response and enhancing viral infectivity.

which sentence is an example of a run-on sentence as a scared for birds and their winter he can help by feeding them

Answers

When two separate clauses are combined without the required punctuation or conjunctions, the phrase becomes run-on.

Food is scarce for birds in the winter you can help by feeding them.

Comma splicing and run-on sentences are mistakes that go hand in hand. While a comma splice happens when a comma is used to divide two distinct clauses, a run-on sentence happens when numerous independent clauses are not punctuated or connected in a single phrase.

Run on means to continue: continue. To continue (stuff in type) without a pause or a new paragraph: transitive verb run in. : To add or add anything to the conclusion of a paragraphed item, such as an entry from a dictionary.

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1. Jim and his wife have been trying to have a baby. Their doctor ran numerous tests and concluded that Jim should wear looser fitting pants. Explain why this is probably good advice.

Answers

Wearing tighter fitting pants can restrict the blood flow to the reproductive organs, which can lower the sperm quality and make it more difficult to conceive. Looser fitting pants can improve the blood flow to the reproductive organs and help to increase the quality and quantity of sperm, making it easier for Jim and his wife to conceive.

A researcher discovers a mysterious unknown multicellular eukaryotic organism. She would be confident that it is an animal if she observed that it ____

Answers

A researcher discovers a mysterious unknown multicellular eukaryotic organism. She would be confident that it is an animal if she observed that it has specialized organs, such as eyes, ears, or a heart, or if it moved in response to its environment.

Animals are a distinct group of multicellular eukaryotes, and they are characterized by the presence of specialized organs that aid in the collection of energy and nutrients, as well as providing a means for locomotion. These organs can be as simple as a single cell like the cilium on a paramecium, or as complex as the human brain. Additionally, animals usually respond to their environment in some way, such as locomotion or behavioral responses.

The researcher's observation of specialized organs and movement in response to its environment would be a strong indication that the organism is an animal. By looking at the size, shape, and organization of the cells under a microscope, the researcher could further confirm the identity of the organism. For instance, the presence of cilia or flagella would suggest that the organism is a protozoan, while the presence of an organized nervous system could indicate that it is a more complex organism, such as an arthropod or a vertebrate.

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What happens during the reduction?

Answers

Common reduction techniques result in oxygen loss. For instance, the reduction reaction process is used to decrease ore.

To obtain metals, build electrochemical cells and transform ammonia into nitric acid. Redox reactions, or reduction-oxidation processes, are the simultaneous reduction and oxidation of chemical substances. Oxidized species lose electrons, whereas reduced species gain them. Even without oxygen present, oxidation can still take place. Oxygen has the chemical symbol O and an atomic number of 8. It belongs to the periodic table's chalcogen group and is a very reactive nonmetal.

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How do I put links in APA style? Pls tell me

Answers

Answer:

Explanation: Citing a Link in the Bibliography APA Style List the author's last name followed by first initial, separated by a comma. If there is more than one author, but less than six, put a comma directly after the first initial and list up to two more names in the same fashion. An "&" symbol should be used in place of a comma before the last name listed.

Can we run out of renewable resources? Explain.

Answers

Answer:

No

Explanation:

Some resources will practically never run out. These are known as renewable resources. Renewable resources also produce clean energy, meaning less pollution and greenhouse gas emissions, which contribute to climate change.

Examples are Sun, Wind, and Water. We will always have sunlight and wind, right? So no, renewable resources CANNOT run out, hence the 'renewable' part. They come from sources that are not depleted when used. Others, like biomass, come from sources that can be replenished.

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Neurons respond preferentially to the right eye or the left eye. This phenomenon is referred to as _____.
a. hemispheric specialization
b. bilateral dominance
c. retinotopic disparity
d. ocular dominance

Answers

Neurons preferentially react to either the right or left eye. This characteristic is known as ocular dominance.

Ocular dominance, also known as dominant eye, occurs when one eye is used more than the other, when one eye has greater vision, or when one eye has stronger focus. Determining which eye is dominant might be useful for tasks that demand concentration on a goal. Baseball is one of these activities.

Ocular dominance, also known as eye preference or eye condition, is the proclivity to favor visual information from one eye over the other. This is analogous to right-handed or left-handed laterality. The dominant eye side and dominant hand side, on the other hand, do not always correspond. Identifying your dominant eye is essential while participating in activities like baseball, shooting range, or golf. Photographers can also improve their images by using their dominant eye. Shooters can better aim their targets using their dominant eye.

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You and your sibling are trick-or-treating. Realizing

that your bag of Halloween candy is heavier, depends

on your____.

A) subliminal stimuli

B) perceptual set

C) size constancy

D) difference threshold

Answers

When playing trick-or-treating and then realizing that the bag of Halloween candy is heavier, it depends on your perceptual set.

Thus, the correct answer is B.

Subliminаl stimulаtion is sensory stimulаtion below а person's аbsolute threshold for conscious perception. Perceptuаl set is the tendency for perceptions to be influenced by one’s expectаtions or preconceptions. Perceptuаl constаncy is the tendency to perceive the size, shаpe, color, аnd brightness of аn object аs remаining the sаme even when the imаge it cаsts on the retinа chаnges. The difference threshold is the smаllest difference in stimulаtion needed to recognize thаt two stimuli аre different from eаch other 50% of the time.

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Which of the following statements characterized meiosis 1?

Answers

The statements that characterize meiosis I are:

B) The chromosome number remains the same from n to n.

C) Homologous chromosomes line up at the cell equator.

E) The chromosome number is reduced from 2n to n.

F) Each chromosome consists of two sister chromatids.

H) Crossing over can occur during synapsis.

What is the meiosis  stage about?

Meiosis I is the first of two cell division events that occur during meiosis, a type of cell division that produces gametes (sex cells). Meiosis I is characterized by several key events, such as:

Homologous chromosomes line up at the cell equator: During meiosis I, homologous chromosomes (pairs of chromosomes that are similar in shape and size and carry genes for the same traits) line up and pair with one another at the cell equator. This process, called synapsis, allows for the exchange of genetic material between the chromosomes through a process called crossing over.

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See full question below

Which of the following statements characterize meiosis I? Select all that apply.

Multiple select question.

A)Four nuclei start to form around the chromosomes.

B)The chromosome number remains the same from n to n.

C)Homologous chromosomes line up at the cell equator.

D)Sister chromatids are pulled apart at the centromeres.

E)The chromosome number is reduced from 2n to n.

F)Each chromosome consists of two sister chromatids.

G)Sister chromatids line up at the cell equator.

H)Crossing over can occur during synapsis.

If someone engages in a short, intense burst of activity lasting less than 30 seconds, which energy system will contribute the most to ATP production

Answers

The phosphagen energy system will contribute the most to ATP production during a short, intense burst of activity lasting less than 30 seconds. This energy system utilizes ATP and phosphocreatine to provide energy for activities that require an immediate burst of energy.

The phosphagen energy system is a vital component of energy production during short, intense bursts of activity lasting less than 30 seconds. This energy system is responsible for providing energy for activities that require an immediate burst of energy. The main source of energy used in this system is the ATP and phosphocreatine stored in the muscle cells.

When the body is put under an intense physical demand, the phosphagen energy system is activated. This system works quickly and efficiently to produce ATP, the energy currency of the body. ATP is produced through a process called phosphorylation, where a phosphate molecule is added to ADP. The body uses ATP for a variety of biochemical processes, including muscle contraction.

The phosphagen energy system is the most efficient at providing energy for short-term, intense physical activity. It is able to quickly and efficiently produce enough ATP to meet the body’s energy demands. The phosphagen system is also able to replenish ATP stores in the muscle cells more quickly than other energy systems. This makes it ideal for activities such as sprinting and weightlifting, which require an immediate burst of energy.

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Josie partially filled a graduated cylinder with water. she then dropped a rock into the water. the illustration below show what happened to the level of the water inside the graduated cylinder. what is the volume of the rock?

Answers

As the the illustration show volume of the rock is 5ml. The correct option is A.

What is volume?

The space occupied within an object's borders in three dimensions is referred to as its volume.

It is sometimes referred to as the object's capacity. Volume is the amount of space an object or substance occupies.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface.

Since the graphic shows that 5 ml of water was displaced by the rock, we can infer that the rock's volume is 5 ml.

Thus, the correct option is A.

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Your question seems incomplete, the complete question is:

Josie partially filled a graduated cylinder with water. She then dropped a rock into the water. The illustration below shows what happened to the level of the water inside the graduated cylinder. What is the volume of the rock?

answer choices

5 mL

10 mL

35 mL

40 mL

Which of the following best describes the
general pattern of biochemical evidence for
evolution?

There is no general pattern observed in
biochemical evidence for evolution.

If two species have more differences in DNA,
RNA, and proteins, they are more closely
related.

The more closely related two species are, the
fewer biochemical similarities in DNA, RNA,
and proteins they have.

The more closely related two species are, the
more biochemical similarities in DNA, RNA, and
proteins they have.

Answers

Based on the fact that certain enzymes and chemical processes are found in the cells of all or nearly all life on Earth.

What exactly is biochemical evolution?

The changes that occur at the molecular level in organisms throughout time are referred to as biochemical evolution (molecular evolution). These vary from single nucleotide deletions, additions, or substitutions to the rearrangement of gene sections to the duplication of whole genes or even complete genomes.

Carl Neuber, a German scientist, created the term “biochemistry” in 1903. However, research into this very living part of chemistry had begun much earlier. Claude Bernard has been awarded the Sirehood of Biochemistry. Anatomy, molecular biology, biogeography, fossils, and direct observation are all evidence for evolution.

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A young goat has downward-curved horns. Its father has upward-curved horns while its mother has downward-curved horns. Which of these statements is the explanation?

Answers

Statement 1 is the correct one because every individual receives one copy of the gene from their mother and one from their father.

The process by which a gene's information is used to create a functioning gene product, such as proteins or non-coding RNA, is known as gene expression. Transcription is the process through which the information in the gene is initially transformed into RNA.

And, then the information in the RNA will be translated into protein. This results in the synthesis of functional or non-functional proteins. For goat's horn, the protein keratin is required to buildup a tough structure.

Therefore, in the given situation, the gene combination regulates the shape of the horn of a young goat. Therefore, the correct statement is 1.

The complete question is -

A young goat has downward-curved horns. Its father has upward-curved horns while its mother has downward-curved horns. Which of these statements explains why the young goat has downward-curved horns?

1. The young goat inherited one copy of the gene for horn shape from its mother and one copy from its father. That gene combination instructs for proteins that connect in ways that make downward-curved horns.

2. The young goat inherited one copy of the gene for horn shape from its mother and one copy from its father. Those genes connect together to make its downward-curved horns.

3. The young goat inherited its copies of the gene for horn shape from its mother and not from its father. Just like its mother's genes, those genes instruct for proteins that connect in ways that make its downward-curved horns.

4. The young goat inherited its copies of the gene for horn shape from its mother and not from its father. Those genes connect together to make its downward-curved horns.

Which one is the answer?

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Drag the tiles to the correct boxes to complete the pairs.
Match the inheritance patterns with the scenarios that exemplify them.
codominance
multiple alleles
incomplete dominance
A pink roses are formed when red roses are mated with white roses.
Genes with the alleles IA, IB, and i are responsible
for expression of A, B, and O blood types.
A red flower and a white flower produce
an offspring with equal proportions of red
and white coloration.

Answers

In co-dominance alleles are equally expressed, while in incomplete dominance neither of the alleles are completelly expressed. Multiallelic genes are those that have more than two alleles as alternative forms. A) Incomplete dominance. B) Multiple alleles. C) Co-dominance.

What are codominance, incomplete dominance, and multiple alleles?

Codominance refers to a non-mendelian inheritance pattern in which two different alleles present in the same genotype are equally expressed.

There are no dominant or recessive alleles since non of them hides the expression of the other one in heterozygous individuals.

The phenotype of a heterozygote expresses two alternative phenotypic variants.

Incomplete dominance refers to another non-mendelian inheritance pattern in which heterozygous individuals express an intermediate phenotype between the dominant and the recessive phenotypes.

Neither of the involved alleles completely dominates over the other one.

Multiple alleles refer to genes that express more than two possible alleles. Let us remember that alleles are alternative forms of the same gene. So, multiallelic genes can have many alleles, and each of their codes for a different trait.

Pink roses are formed when red roses are mated with white roses ⇒ incomplete dominance

Genes with the alleles IA, IB, and i are responsible for expression of A, B, and O blood types ⇒ Multiple alleles

A red flower and a white flower produce an offspring with equal proportions of red and white coloration ⇒ co-dominance

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What condition are needed do an accurate radiometric date to be obtained form a mineral ample?

Answers

The necessary condition is that the mineral must remain closed since its formation.

Radiometric dating, radioactive dating, or radioisotope dating is used to date rocks and carbon with trace radioactive impurities.

Heat, pressure, and temperature do not affect isotope decay. Radiometric dating is reliable. This method dates igneous and metamorphic rocks that sedimentary stratigraphic correlation cannot. 300 natural isotopes exist.

The parent's half-life must be known and long enough for it to be present in significant amounts at the time of measurement for accurate radiometric dating. Thus, mineral samples require these conditions for radiometric dating.

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What can be known about Mendel's five part hypothesis it is an answer to a scientific question and is based mostly on H?

Answers

Mendel's five-part hypothesis, sometimes referred to as Mendel's principles of inheritance is a scientific explanation for how traits in living things are handed down from one generation to the next. It is mostly based on Mendel's observations and research on pea plants.

The dominance principle: Mendel noticed that although certain qualities (now known as recessive) were not expressed in the offspring, others (now known as dominant) were.

Mendel discovered that distinct features' determining factors now known as genes—separate during the development of reproductive cells (gametes) and reunite during fertilization. This is known as the concept of segregation.

Mendel discovered that the inheritance of one feature has no bearing on the inheritance of another, which is known as the independent assortment principle. Mendel discovered that when breeding true-breeding (homozygous) individuals, certain qualities remain constant while others change, and when breeding hybrid (heterozygous) people, other traits do not.

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Which concept should be used to describe the functioning of the serratus anterior as it assists the anterior deltoid during shoulder flexion

Answers

Answer:

Synergist an agent that increases the effectiveness of another agent when combined with it.

Why did Mendel carry out an experiment to study inheritance of two traits in garden pea?

Answers

Mendel conducted research on inheritance using peas. Peas were selected because they had previously been used in research that was comparable, because they are simple to cultivate, and because they can be replanted annually.

Pea flowers typically self-pollinate because they contain both male and female parts, which are referred to respectively as stamen and stigma. Because of the process of self-pollination, offspring can be produced from a single plant even though the flowers do not open until later. Peas can also be manually cross-pollinated.

To do this, simply open the pea flower buds, remove the pollen-producing stamen, and then apply pollen from one plant to the stigma of another plant. This will prevent the peas from pollinating themselves.

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Which phylogenetic tree highlights the most recent common ancestor of all animals with four limbs (where limbs include legs, arms, and wings)

Answers

It draws attention to the taxon, or most recent common ancestor, of all tetrapods. The tips and nodes of the tree, respectively, represent groups of descendant taxa and common ancestors of descendants.

The evolutionary connections of biological species are described by the phylogenetic tree, often called phylogeny. The branching pattern of the phylogenetic tree illustrates how a series of shared ancestors gave rise to diverse species or groupings.

The phylogenetic tree helps us understand a person's complete life history or life.

Follow each taxon's lineage back in time (toward the base of the tree) until all the lineages meet to identify the most recent common ancestor of a group of taxa. Their most recent shared ancestor is represented by that node.

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What is the process in prophase I that has caused genetic material exchange to take place?

Answers

Chromosome crossover is the mechanism by which homologous chromosomes couple up and exchange genetic material during prophase I.

Leptotene, zygotene, pachytene, diplotene, and diakinesis make up prophase I's five stages. Several significant activities, including as the pairing of homologous chromosomes and the reciprocal exchange of genetic material between these homologous chromosomes, take place during these stages in addition to those that take place in mitotic prophase. Prophase I progresses at varying rates according on sex and species.

Until ovulation, several species halt meiosis in the diplotene of prophase I. In humans, oocytes can be stopped in prophase I for decades before swiftly completing meiosis I just before ovulation.

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Explain how the percent equation relates proportional quantitiesthe percent equation beingPART = PERCENT * WHOLE Shakir is filling out a crossword puzzle. The clue for 46 across says eye rhyme for gone. Which of the following five-letter words should Shakir write to get the correct answer? A. alone B. prawn C. gown D. haunt Which of the following would be a consideration for "sell as is or process further" decisions?A) Revenue generated if sold "as is"B) Revenue generated if "further processed"C) Costs involved in further processingD) All of the above Question content area topPart 1A computer store buys a computer system at a cost of $. The selling price was first at , but then the store advertised a markdown on the system. Answer parts a and b.Question content area bottomPart 1a. Find the current sale price. The sale price is $enter your response here.(Round to the nearest cent as needed.)Part 2b. Members of the store's loyalty club get an additional % off their computer purchases. How much do club members pay for the computer with their discount?The price for club members is $enter your response here.(Round to the nearest cent as needed.) Which aspects of Russion history does the passage most reflect Select three options help please!! (use the sentence frame) b. The original amount on the gift card was $200. Does Arleen haveenough left on the card to buy awheelbarrow for $50? Explain. the nurse is teaching a client with advanced chronic obstructive pulmonary disease who was prescribed oral theophylline. which client statement In a 45-45-90 triangle, the length of the hypotenuse is 11. Find the length of one of the legs. B. Do you think Prince Prospero was right to escape to hiscastle? What else could he have done? Given a prime $p$ and an integer $a$, we say that $a$ is a primitive root $\pmod p$ if the set $\{a,a^2,a^3,\ldots,a^{p-1}\}$ contains exactly one element congruent to each of $1,2,3,\ldots,p-1\pmod p$.For example, $2$ is a primitive root $\pmod 5$ because $\{2,2^2,2^3,2^4\}\equiv \{2,4,3,1\}\pmod 5$, and this list contains every residue from $1$ to $4$ exactly once.However, $4$ is not a primitive root $\pmod 5$ because $\{4,4^2,4^3,4^4\}\equiv\{4,1,4,1\}\pmod 5$, and this list does not contain every residue from $1$ to $4$ exactly once.What is the sum of all integers in the set $\{1,2,3,4,5,6\}$ that are primitive roots $\pmod 7$ The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards, how much fencing does the city need to surround the park? An ADR has been issued where each ADR equals .1111 ordinary shares of the foreign issuer. If a client wished to buy enough ADRs to cover 100 ordinary shares, how many ADRs must be purchased Please help will mark Answer the following prompt in paragraph formWhich form of Anne Frank's story do you prefer a play that allows you to experience what the situation was like,including other people's experience, or Apne's original words as she recorded them? Give at least time recommewhy you think one or the other creates better understanding for you.Please HELPPPP due at 3:00 please Ill give you 30 points wacky wizards offers beginner and advanced magic classes. The beginner class costs 6 more than half the cost of the advanced class.Last week they taught 7 beginner classes and 11 advanced classes and earned $390. Write a system that represents the cost of the beginner class, b and the advanced class, a. HELP!!!!! Do unalienable rights apply to everyone? if someone made a scale model, and they hade 1 cm for every 100,000 kilometers how many centimeters would 58 million kilometers be? a. At the beginning of the year, Addison Company's assets are $176,000 and its equity is $132,000. During the year, assetsincrease $80,000 and liabilities increase $59,000. What is the equity at year-end?b. Office Store Company has assets equal to $224,000 and liabilities equal to $194,000 at year-end. What is the equity forOffice Store Company at year-end?c. At the beginning of the year, Quaker Company's liabilities equal $69,000. During the year, assets increase by $60,000,and at year-end assets equal $190,000. Liabilities decrease $18,000 during the year. What are the beginning and endingamounts of equity? A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc length, rounded to the nearest hundredth, between each spoke? Use 3. 14 for . Show your work