Which axiom is used to prove that the product of two rational numbers is rational?(1 point) Integers are closed under multiplication. Integers are closed under division. Whole numbers are closed under division. Natural numbers are closed under multiplication.

Answers

Answer 1

Answer: Integers are closed under multiplication.

Explanation:

Rational numbers are numbers of the form:

a/b

such that a and b are integers.

The axiom: " Integers are closed under multiplication. "

Says that if we have two integers, x and y, then:

x*y is also an integer.

So if we have two rational numbers,

a/b and c/d

Such that a, b, c and d are integers, and we multiply them, we have:

(a/b)*(c/d) = (a*c/b*d)

the numerator is a*c is the product of two integers, so this is an integer by the previous axiom.

the denominator is b*d, also a product of integers, so this is an integer.

then (a*d)/(b*d) is the quotient of two integers, then this is a rational number.

Answer 2

Answer:

the second one... Integers are closed under multiplication

Explanation:


Related Questions

ang Chlorophy
1. Which cell types remain in a non dividing stars and do not comes the trials
process?
-cles of Cells
A muscle cells and nerve cells
B skin cells and muscle cells
cles of Cells
C muscle cells and skin cells
D liver cells and nerve cells

Answers

Answer:

A. Muscle and Nerve cells

Explanation:

These two kinds of cells remain in a non-dividing state. The rest of these cell types multiply/divide.

During which of the following processes is carbon released into the atmosphere as carbon dioxide?
OA. photosynthesis and combustion
respiration and photosynthesis
OC. respiration and combustion
OD. combustion and sedimentation
22 of 30 Answered
Session Timer: 3:55

Answers

Answer:

Respiration and Combustion

Explanation:

PLEASE HELP!! What are the limitations of sending information using electromagnetic waves?

Answers

Answer:

Explanation:

he limitations of sending information using electromagnetic waves is that when the electromagnetic waves move outward in all directions, wave transmitters need to be focused to transmit their signals to a single specified location.

Jameson lives in a city on the shores of the Atlantic Ocean. The temperature fluctuations are relatively small in his city because takes longer to heat up and cool down due to its high .

Answers

Answer:

Water, high specific heat capacity

Explanation:

The temperature fluctuations are relatively small in Jameson city because takes water longer to heat up and cool down due to its high specific heat capacity because water has high heat capacity that is it absorb alot of heat before it start to get hot. takes more energy to increase the temperature of water compared to other substances which help to regulate extremes in the environment.

Water surrounding cities take longer to heat up and longer to cool down so cities that are near the oceans will tend to have less change and less extreme temperatures compared to inland cities.

Answer:

I believe it's (water and specific heat) let me know if this is correct :)

The nephron of mammals and malpighian tubules of insects are both involved in water and salt balance. They are also similar in that they are both:_______

Answers

Involved in elimination of nitrogenous waste

1. Viruses such as avian (bird) flu and swine flu that mutate and can spread from animals to human populations are known as what?
O A. Vectors
O B. Transmuting viruses
O C. Epidemics
O D. Zoonoses

Answers

Answer:

B

Explanation:

they are transmuting viruses

B. Transmuting viruses is the answer

what is the meaning of Alkaline medium in life processes ​

Answers

Answer:

an alkali also can be defined as a base that dissolves in water. a solution of soluble base has a pH greater than 7.0. the adjective alkaline is commonly, an alkalescent less often, used in English as a synonym for basic, especially for bases soluble in water.

What is The mutation caused by the addition of a nucleotide to an already existing gene sequence called? A. deletion B.duplication C.insertion D. Inversion ??

Answers

Answer:

Insertion

Explanation:

An example of this genetic disorder is the trisomy 21

which phase of water is the most dense and which is the least dense

Answers

Answer:

The ice form of water is most dense, and the vapor form of water is the least dense.

Explanation:

The molecular cohesion in ice is stronger than in liquid or vapor, forcing the molecules of water to remain closely bonded making it dense.  The vapor form of water is weaker that liquid and ice since the molecules are nearly free roaming or loosely bonded making it not very dense.

Cheers.

The most dense phase of water is liquid water, and the least dense phase of water is ice.

As water freezes and transitions from a liquid to a solid state, the water molecules arrange themselves in a regular and more structured pattern, forming a crystal lattice.

This arrangement leads to an increase in the space between the water molecules compared to the more closely packed molecules in the liquid phase.

As a result, the density of ice is lower than that of liquid water.

This is due to the hydrogen bonding between water molecules.

When water freezes, the molecules slow down, and the hydrogen bonds stabilize, resulting in the formation of ice crystals with a less dense arrangement.

As the temperature decreases below 4 °C, the density of water decreases due to the expansion that occurs when it freezes into ice.

Thus, the most dense phase of water is liquid water, and the least dense phase of water is ice.

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• How the knowledge of classification be applied to assess the characteristics of different organisms when visit to zoo, herbaria or gardens.(Students may do research on internet to answer this question )
plz correct answer
be quick

Answers

Answer:

Compare two organism on the physical features and mode of nutrition.

Explanation:

Organisms are classified in groups and sub-groups on the basis of similarities and differences. so in order to compare two organisms, start with the similarities that are present between them. If similarities are more so they belong to the same group or if differences are more than both are placed in different groups. for classification, see the physical appearance of organism, mode of nutrition and habitat etc. If organisms are identical, they belong to the same species, if one or two characters are different so their genus will be same but specie is different. In zoo animals are different from the animals which is present in garden so compare the physical features of zoo and garden animals.

6. How are excess salts that accumulate in cells transferred to the blood stream so they can be removed from the body? Explain how this process works in terms of tonicity.

Answers

Answer:

Tonicity is the concentration of a solution compared to another, with regards to the number of solutes in these solutions. Too many solutes in a cell may cause them to be hypertonic hence absorb water too much water and lyse. Therefore, these solutes are excreted to the blood-stream through active transport and facilitated diffusion. These solutes are then excreted by the kidneys. If they are not excreted, the osmotic pressure (due to the inflow of water to the bloodstream by osmosis) may cause high blood volumes being pumped by the heart hence high blood pressure

Explanation:

Tonicity is the concentration of a solution compared to another, with regards to the number of solutes in these solutions. Too many solutes in a cell may cause them to be hypertonic hence absorb water too much water and lyse.

What is excreted from the blood stream?

The solutes are excreted to the blood-stream through active transport and facilitated diffusion. These solutes are then excreted by the kidneys. If they are not excreted, the osmotic pressure due to the inflow of water to the bloodstream by osmosis may cause high blood volumes being pumped by the heart hence high blood pressure.

Osmosis is the net movement of water across a semi-permeable membrane from an area of lower gradient concentration to an area of higher gradient concentration. On the other hand, tonicity is the ability of an extracellular fluid to make water move into or out of a cell through osmosis. A solution's tonicity is related to its osmolarity or the total concentration of the solutes in a solution.

Therefore, Tonicity is the concentration of a solution compared to another, with regards to the number of solutes in these solutions.

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During the 1950s, a scientist named Lysenko tried to solve the food shortages in the Soviet Union by breeding wheat that could grow in Siberia. He theorized that if individual wheat plants were exposed to cold, they would develop additional cold tolerance and pass it to their offspring. Based on the ideas of artificial and natural selection, do you think this project worked as planned

Answers

Answer:

No

Explanation:

Trofim Lysenko was a Biologist in the then Soviet Union, who did not believe in the fundamental laws of science. Selective breeding is the method developed by humans to change certain characteristics of species to desired outcomes. This is based on the fact that living things have inheritable traits encoded in genes that can be passed from one generation to another.

Lysenko did not believe in this fact. He rather believed that when exposed to the right environment, plants and animals soon become adjusted to the exposure and can then develop traits that would be passed on to their offsprings. He applied this theory of his when he exposed wheat plants to cold believing that they would develop tolerance to cold. This failed woefully and resulted in severe starvation that caused the death of millions of people in the Soviet Union.  

If a hermit crab leaves its shell, is the shell biotic?

Answers

No, because the shell was never alive.

Answer:

no

Explanation:

Where should keisha place an x

Answers

next to a but i dont study algebra sorry

During the process of translation in a eukaryote messenger RNA is spliced in the nucleus. amino acids are synthesized by RNA polymerase. transfer RNAs are joined together by a large enzyme complex. ribosomes must be imported into the nucleus. mRNA interacts with ribosomes in the cytoplasm.

Answers

Answer:

mRNA interacts with ribosomes in the cytoplasm.

Explanation:

The correct option would be that mRNA interacts with ribosomes in the cytoplasm.

Translation involves the use of genetic codes in mRNA to synthesize amino acids that are eventually linked together by polypeptide bonds to form proteins.

During translation, the mRNA synthesized in the nucleus is transported into the cytoplasm where it gets attached to the ribosome and another RNA - the tRNA. The codons on the mRNA eventually match with the anticodon of the tRNA with the later releasing the amino acid that corresponds to each codon.

Hence, the correct answer out of all the options is that mRNA interacts with ribosomes in the cytoplasm.

Recreate the sequence that occurs in the carbon cycle beginning with carbon dioxide gas.

combustion, atmosphere, soil organic matter, fossil fuel, plant biomass.

Answers

The four phases of the carbon cycle, which is vitally important for both plants and animals, are as follows:

What is carbon cycle?

A sequence of environmental processes known as the "carbon cycle" involve the absorption of carbon dioxide into living tissue through photosynthesis, its release back into the atmosphere through respiration, the decomposition of extinct creatures, and the burning of fossil fuels.

1. Carbon dioxide, a type of carbon, is released into the atmosphere. Examples include combustion and breathing.

2. Plants use the carbon dioxide in the air, and following photosynthesis, they release oxygen into the atmosphere.

3. Environment-present animals consume plants and transfer carbon up the food chain. They breathe out carbon dioxide into the atmosphere. Animals and plants pass away after a specific amount of time.

4. Unless fossils of plants and animals are developed, which also contain carbon, the body of plants and animals is eaten through decomposition, returning the carbon to the environment in the form of carbon dioxide.

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Which statement describes the role of the organism indicated by the blue arrow in the food web?
A secondary consumer that obtains its energy from the consumption of plants
A primary producer that recycles organic molecules from sunlight
A primary decomposer that recycles organic molecules by breaking them down
A primary consumer that obtains its energy from the consumption of plants

Answers

Answer:

A primary consumer that obtains its energy from the consumption of plants

Explanation:

Organisms that eat the producers are the primary consumers. In this case, the producer is the grass, which is then eaten by the primary consumer, the meadow vole.

In the autumn, many birds will collect seeds and then hide them in various caches throughout their habitat. The birds will guard their caches from other birds, and move the caches if they start to dry out. These caches provide a food source for the birds during the winter. What is an abiotic factor that contributed to the evolution of this set of behaviors? A. being preyed upon by larger birds B. competition with other birds for space C. limited food availability D. cold winter climate

Answers

Answer:cold winter climate

Explanation:During winter specially in the eastern and western part of the world....snows bury grounds and food that enables this organisms live....and cold can also affect them

Answer:

Answer: c. limited food availability

Explanation:

Both biotic and abiotic factors are responsible for shaping the evolutionary framework of the population. Resource availability can be one of the important abiotic  factor in determining the evolutionary dynamics of the population or species. Limitations in resource can result in increase in competition.  According to population exclusion principle when two species compete for the same limiting  resource this results in co-evolution of both the species. But the extent of evolution may vary among the species. The one which undergoes more favorable evolution will be stronger competitor and drive more resources and will be fit for survival in adverse limiting conditions.

Type your response in the box. Many countries have laws that regulate hunting, including restricting hunting to specific times of year. Why is this hunting restriction important for preserving certain animal populations?

Answers

Answer:

You can only hunt dear (example) for only sertin times of the year because when the doe's have their fans people want them to get big before they shoot them

Answer:

Animal populations can change from one season to another, so it’s important to restrict hunting to seasons when the population is high. Such a restriction helps prevent a severe drop in population, which could threaten the species. It’s also important to limit hunting during breeding seasons to increase the possibility of offspring reaching adulthood.

Explanation:

Plato.

which two bases bond together in DNA

Answers

Answer:

hydrogen bonds

Explanation:

Answer:

hydrogen bonds

Explanation:

The two strands are held together by hydrogen bonds between the bases, with adenine forming a base pair with thymine, and cytosine forming a base pair with guanine.

It can be inferred from the passage that the time required to replenish muscle glycogen following anaerobic glycolysis is determined by which of the following factors? I. Rate of oxidative metabolism II. Quantity of lactic acid in the body fluids III. Percentage of glucose that is returned to the muscles

Answers

Answer:

Percentage of glucose that is returned to the muscles.

Explanation:

After intense physical activity, where glycogen reserves are consumed, the muscle acquires its resting and reactivation position, is where the organism that feeds the new reserves for the next physical activity is located.

Foods rich in carbohydrates identified as ATP or glucose in good quantities, but this depends on the amount of intake and the quality of the food, that is how when consuming these sources, the serum glucose values are metabolized, that is, increases glycemia and this promotes the release of insulin that is responsible for generating energy reserves with more complex chemical bonds such as glycogen.

what are some non examples of hydroshere

Answers

Oceans, lakes, seas, and clouds are examples.

The hydrosphere is made up of all the water on the planet, including the water found below the surface and in the atmosphere. A planet's hydrosphere may be liquid, vaporous, or composed of ice. The three surface water bodies on Earth are oceans, lakes, and rivers.

What are some non examples of hydrosphere?

It comprises all surface waters that are liquid or frozen, groundwater that is contained in soil or rock, and atmospheric water vapor. The hydrologic cycle continuously circulates almost all of these waters. In wells and aquifers, it can also be found underground as groundwater.

Within the hydrosphere, water circulates in a cycle. Clouds contain water that eventually falls to Earth as rain or snow.

Therefore, Rivers, lakes, and seas are where this water gathers. The cycle is then restarted by its evaporation into the atmosphere. The water cycle refers to this.

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The diagram summarizes the light-dependent reactions of photosynthesis. A diagram shows the light-dependent reactions of photosynthesis. x goes to the light dependent reaction. The light dependent reaction goes to chemical energy and oxygen. What is the input of the light-dependent reactions, labeled X? CO2, H2O, O2, and light CO2, H2O, and light CO2 and H2O H2O and light

Answers

Answer:

Although there is no diagram attached to this question but it can be answered based on the general knowledge of photosynthesis. The answer is:

H2O and light

Explanation:

Photosynthesis is a unique phenomenon that occurs in the Chloroplast of plant cells. It is the process by which plants and other autotrophs obtain their energy source (food) in the presence of sunlight. Photosynthetic process occurs in two distinct stages viz: light dependent reaction and light independent reactions.

The light dependent reaction, as the name implies, is dependent on light to occur. It occurs in the Thylakoid membrane of the Chloroplast, where a photon of light is captured by the Chlorophyll pigment and the energy is used to split molecule of water in a process called PHOTOLYSIS OF WATER. The transfer of electrons across the thylakoid membrane creates a proton pump, which is used to generate ATP and NADPH. NADPH and ATP are electron and energy carriers respectively which enters into the light independent stage in order to synthesize glucose (sugar).

In a nutshell, the inputs of the light dependent stage are LIGHT from the sun, and water (H2O), which provides the proton and electron when split.

Answer:

its D

Explanation:

What type of muscle is specialized for rapid and forceful contraction of short duration ?
Select one
a. Skeletal muscle
b. Smooth muscle
c. Cardiac muscle​

Answers

A I looked it up on google lol

In prokaryotes that carry out aerobic respiration, the ________ serves the same purpose as the inner mitochondrial membrane and the ________ serves the same purpose as the mitochondrial matrix. In prokaryotes that carry out aerobic respiration, the ________ serves the same purpose as the inner mitochondrial membrane and the ________ serves the same purpose as the mitochondrial matrix. plasma membrane; cytoplasm cytoplasm; cell wall ribosomes; plasma membrane cytoplasm; nucleoid cytoplasm; plasma membrane

Answers

Answer:

In prokaryotes that carry out aerobic respiration, the plasma membrane serves the same purpose as the inner mitochondrial membrane and the cytoplasm serves the same purpose as the mitochondrial matrix.

I'm sorry! I only know those two. I hope this helps anyway!

True or False: Polar molecules do not have a difference in electrical charge.

Answers

Answer:

false

Explanation:

nonpolar molecule has no separation of charge, so no positive or negative poles are formed

what happens to the chromosomes if nondisjunction occurs during meiosis one versus meiosis two

Answers

Answer:

Nondisjunction is defined as the failure in the separation of homologous chromosomes or sister chromatids during nuclear division.

Nondisjunction occurs in both phases meiosis one (I) and meiosis two (II) during anaphase but both in both phases nondisjunction is different.

In meiosis I, homologous chromosomes fail to separate while in meiosis II, sister chromatids fail to separate.

who discovered micro organisms​

Answers

Robert Hooke is the person that discovered Micro organism

Answer:

An English architect, "Robert Hooke" discovered micro organisms in 1665.

Hope this helped!

Have a nice day:)

BRAINLIEST would really help me:)

Glaucoma is a leading cause of blindness. Studies have linked a common form of glaucoma to three genes and more than 20 genetic loci. Which best describes glaucoma? a recessive trait that requires multiple recessive alleles to be expressed a polygenic trait that is influenced by the alleles of several genes a codominant trait that is expressed more often when more dominant alleles are present a dominant trait that depends on the presence of only one of many dominant alleles

Answers

Answer:

Question

Glaucoma is a leading cause of blindness. Studies have linked a common form of glaucoma to three genes and more than 20 genetic loci. Which best describes glaucoma?

Answer

(A) - a recessive trait that requires multiple recessive alleles to be expressed

Explanation:

Glaucoma is a polygenic trait influenced by the alleles of several genes.

Polygenic phenotypic traits are those influenced by many genes, which interact to shape the phenotype.

Polygenic traits exhibit a bell-shaped distribution in a population (i.e. they have a continuous distribution).

Some examples of polygenic traits include, among others, height, body shape, skin color, weight, etc.

A polygenic trait that is also affected by environmental factors is known as a multifactorial trait.

In conclusion, glaucoma is a polygenic trait that is influenced by the alleles of several genes.

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what is the SI unit of focal length
,​

Answers

Answer:

dioptre is si unit of focal length

where 1 dioptre = 1 m^-1

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