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

Which latitude lines does photoperiodism have the greatest effect? Why?

Answers

Answer: A short-day plant will not flower if light is turned on for a few minutes in the middle of the night and a long-day plant can flower if exposed to more red-light in the middle of the night. Cryptochromes are another type of photoreceptor that is important in photoperiodism. Cryptochromes absorb blue light and UV-A.

Explanation:

Explain why fermentation stops after
a certain time in making
making bread?

Answers

Answer:

The yeast die at 140° F

Explanation:

The fermentation process is caused by the living organisms called yeast feeding on the sugar in the dough. As the yeast feed on the sugar they release CO² which causes the bread to rise but once the bread in the oven reaches 140° all the yeast are killed off and the fermentation process stops.

The process of fermentation stops after a certain time in making bread because the organism which carries this process has been killed.

What do you mean by Fermentation?

Fermentation may be defined as a process a chemical process by which molecules such as glucose are broken down anaerobically in the presence of yeast.

During fermentation, the yeast produces excess carbon dioxide due to which the dough of bread swells. But after the completion of fermentation when bread places in the oven or any other warmer temperature, it killed the yeast, and hence fermentation stops.

Therefore, the process of fermentation stops after a certain time in making bread because the organism which carries this process has been killed.

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3. Calcium carbonate is the majour component of marble. Sulphuric acid one of the majour components of acid rain. Write a balanced chemical quation to show how the corrosion of marble statue by the acid rain.

Answers

Answer:

here

Explanation:

CaCO3 + H2SO4

-----> CaSO4 + H2O + CO2

Please choose the answer that best fills in the blanks of this statement in the correct order. Photosynthesis proceeds in two phases: the light-_______ reactions which proceed only in the presence of sunlight, and the light-________ reactions which proceed regardless of the lighting conditions.

Answers

Answer:

first blank dependent

second blank independent

Explanation:

Light Dependent reactions depend on light and right independent reactions don't

the definition in a cladogram

Answers

Answer:

a branching diagram showing the cladistic relationship between a number of species

please give the correct answer to this question​

Answers

Answer: Lymphatic system

Explanation:

Not respiratory and excretory for sure.

Not nervous because the diagram doesn't show spinal nerves clearly. So its lymphatic system.

:-)

The pronghorn antelope resides in temperature grassland biomes of North America. Their primary predators in this region are wolves, coyotes, cougars, and bobcats. The reason pronghorn antelope are not found outside of North America is most likely that Group of answer choices

Answers

Answer:

The options are

A) there are too many pronghorn predators outside North America.

B) its temperature requirements are stringent and not met outside North America.

C) it is a relatively new species in evolutionary terms.

D) its nutritional requirements cannot be met outside this region.

E) it has never dispersed beyond this region.

The answer is E) it has never dispersed beyond this region.

The pronghorn antelope resides in temperature grassland biomes of North America. The reason pronghorn antelope are not found outside of North America is most likely that it has never dispersed beyond this region which could be due to the suitability of the environment to their survival.

Complete urinary obstruction causes which of the following? (Select all that apply.) Increased urinary stasis Increased urinary frequency Decreased hydrostatic pressure Decreased glomerular filtration Increased predisposition to infection

Answers

Answer:

hydrostatic pressure increaes and decreased in glomerula filtration and increase in urinary stasis

Explanation:

algae's general habitat?

Answers

Answer:

Algae is the process to describe that diverse group of photosynthetic lifeforms.

Explanation:

Algae is that environments process to the rivers and lakes to ponds waters an snow, algae living in the contain snow pigments that addition to the surrounding contain distinctive.

Algae is environment near inside water bodies, algae in many components in plants as stems and shoots or leaves nutrients water their body.

Algae like plants an special structure and algae is well defined body in the structure stems and leaves are photosynthetic organisms, algae are free living and symbolic relationship other organisms, there are many types of algae:- Green algae, blue and green algae ,red algae.

Green algae:- green algae to that conduct photosynthesis symbolic relation with higher organisms.

Blue and green algae:- this algae are include dams, river, lakes.

Red algae:- red algae is used in species found in freshwater ecosystem.

Algae is in unicellular and multicellular in environment nature.

Does genes contain sextual attractions over humans?

Answers

Answer:

Yes, genes are based on your look likes / features for example hair, eyes, other parts of the body and people are more connected to them for the circumstances of attractions

Hope this helps :)

Explanation:

What does "the process of making more of the same producing offspring" called?
Thanks..​

Answers

Asexual reproduction

Dump out half of the particles. Place your hand tightly over the top and shake the container. Then remove most of the remaining particles, and shake the container again. Compared with the full container, which states of matter do these two models most closely represent? Explain.

Answers

Answer:

solid

Explanation:

The two models explained are most closely representing the "solid" state.

As in both the models the techniques used are to separate particles through shaking technique and shaking is efficient gravity separation method which helps in separating solid particles such as while dealing with tungsten and tin.

Hence, the correct answer is "Solid".

Answer:

When the container was half full, the particles had more freedom to move around than they did when the container was full. A half-full container represents a liquid. When the container had only a few particles, they had lot more freedom to move about. So, this model represented a gas.

Explanation:

plato answer

Without the discovery of magnetic reversals recorded on the ocean floor, scientists

A. could not confirm the usefulness of sonar

B. could destroy the hypothasis of continental drift

C. could not provide a mechanism for moving continents

D. could explain how the seafloor was being destroyed

Answers

Answer:

C. could not provide a mechanism for moving continents

Explanation:

Magnetic reversals have the habit of causing geological displacements, since they are directly linked to the movements and distribution of tectonic plates on the planet, which are responsible for the movements of the continents. In this case,

if the discovery of magnetic reversals recorded on the ocean floor were not carried out, it would be impossible to establish its relationship with the movement of the tectonic plates, making it impossible to provide a mechanism for moving continents.

what is puberty explain it​

Answers

Puberty is when your body matures, you start to grow hair in new places, your voice starts to crack, you start to have weird urges, you also (if you are male) start to get an erection, females start to get “wet” (or they feel tingly is the best way I can explain)
Puberty is a transitional period between childhood and adulthood, during which a growth spurt occurs, secondary sexual characteristics appear, fertility is achieved, and profound psychological changes take place

state the effect of the heat on plastic and Alcohol​

Answers

Answer: When the heat hits the plastic it starts to soften up and loose stiffness in it, but with alcohol it can cause serious consequences, drinking alcohol can cause more urination and lead to dehydration.

Explanation:

Answer:

the heat melts the plastic or softens it, which causes it to change shape.

alcohol changes taste and has a faster evaporation rate. If a person drinks warm alcohol he would start to lose more body water, he will perspire and urinate more.

;D hope this helps

1. White blood cells attack what??
2. Ability of an organism to feed is called
a nutrition 6 irritability cd growth ad movement
3. The following are types of living things
except
Polista
d) lysosomea
4. Another name for Aues is called a hea
6) birds cd mamals d)
frog
animals are herbivores except
goats giraffes Selephants
d leopardo
5. The following
6. The locomotany organ of earthwor mis a) fors
Dwings as muscles D tube feet.
Sol
7. Spider use for respiration ad lungs b) booklungs
c) gills d) lenticels
The top of the tongue is responsible for a
bitterness c) Saltiness d) sourness.
these is not
organ
b) cose c) Tongue ad liver
9. One of
sense o
a) Eye​

Answers

Answer:

white blood cell's fight infections from bacteria, viruses, fungi, and other pathogens

Explanation:

Consider the cladogram. A cladogram is shown. Roundworms have the derived characteristics of true tissues, bilateral symmetry, and a pseudocoelom. Which group of organisms has the derived characteristics of true tissues, bilateral symmetry, and a pseudocoelom? sponges roundworms annelids chordates

Answers

Answer:

The correct answer is - roundworms.

Explanation:

The answer is already mention in the question, however, the detailed answer is as follows:

The characteristics that are given in the question are true tissues, bilateral symmetry, and a pseudocoelom. Worms or helminths are known as primitive form of organization of the Bilaterians. All three group of worms or helmints have a basic bilateral symmetry.

These organisms inaugurated various characteristic that are found and carried by other animals such as  true tissues, bilateral symmetry, and a pseudocoelom.

Thus, the correct answer is - roundworms.

Answer:

its b

Explanation:

Which observation led Mendel to the idea that traits were controlled by more than a single factor? Crossing two purple-flowered pea plants always resulted in a purple-flowered pea plant. Crossing two white-flowered pea plants always resulted in a white-flowered pea plant. A trait that was not seen in the first generation may later reappear in the second generation. A trait that was not seen in the first generation was completely gone and never reappeared.

Answers

Answer:

The answer is option C.

Explanation:

Genetic traits are expressed by dominant and recessive genes, which show up in the phenotype according to their presence on the chromosomes.

Observing a trait that was not present in the previous generations suggests that this trait is recessive and did not have the chance to appear in the other generations before. This idea has led Mendel to the idea that traits were not controlled by only a single factor. So the answer is C.

I hope this answer helps.

Answer:

A trait that was not seen in the first generation may later reappear in the second generation.

Explanation:

Object is not moving Answer 1 Choose... Object is moving towards observer Answer 2 Choose... Object is moving away from observer Answer 3 Choose...

Answers

Answer:

Object is moving away from observer.

Explanation:

If a force is applied to an object it starts moving. The object will move towards the observer, this is known as Doppler effect. It is when an observer or the thing under observation moves. There is change in its position due to a force exerted on it. The motion of the object also depends on the direction of force.

Quick
Check
Which structures are found in both animal and plant cells? Check all that apply.
cell membrane
cell wall
cytoplasm
Golgi body
nucleus
ribosome
vacuole

Answers

Answer:the organelle which are found in both animal and plant cells are

Cell membrane

Cytoplasm

Nucelus

Golgi bodies

Ribosome and

Vacoule ( in different amount)

The structures that are found in both animal and plant cells are cell membrane, cytoplasm, golgi body, nucleus and ribosomes. The correct options are a, c, d, e, and f.

What is a cell?

All living organisms and body tissues are made up of cells, which are the smallest unit that can live on its own.

A cell is made up of three major components: the cell membrane, the nucleus, and the cytoplasm. The cell membrane surrounds the cell and regulates the substances that enter and exit the cell.

Plant and animal cells are structurally very comparable because they are both eukaryotic cells.

The nucleus, mitochondria, endoplasmic reticulum, golgi apparatus, lysosomes, and peroxisomes are all membrane-bound organelles in both.

Plant cells lack centrosomes and lysosomes, whereas animal cells do. Plant cells always possesses a cell wall, chloroplasts as well as other specialized plastids, and a large central vacuole, whereas animal cells do not.

Thus, the correct options are a, c, d, e, and f.

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Describe how the chemical bonds in unsaturated fatty acids make them more suited for cell
membranes than saturated fatty acids.

Answers

Answer:

Unsaturated fat, a fatty acid in which the hydrocarbon molecules have two carbons that share double or triple bond(s) and are therefore not completely saturated with hydrogen atoms. Due to the decreased saturation with hydrogen bonds, the structures are weaker and are, therefore, typically liquid (oil) at room temperature .

16. Which one of the following statements best describes group behavior?

A. Group behavior depends solely on its most influential individual members.
B. Group behavior is a thing apart from the behavior of any individual in the group.
C. A group is the sum of the behavior of all of the group members.
D. As a group behaves, so too will each individual in the group.

Answers

Answer:

C. A group is the sum of the behavior of all of the group members.

Explanation:

The statement which best describes group behavior is: C. A group is the sum of the behavior of all of the group members.

A group is also referred to as a team and it can be defined as a group of people or set of individuals having various skill set, knowledge, ideas and experience, who come together to work on a project or task, in order to successfully achieve a set goal and objective.

Therefore, individuals working as a group usually interact with the other group members and as a result, this enhances performance and strengthen the level of relationship they share.

In conclusion, a group is the overall sum of the behavior of all of the members in a particular group.

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The location where sea floor spreading occurs is called the

Answers

Answer:

The location where sea floor spreading occurs is called the mid ocean rigid.

Explanation:

Hope it helps you....

Thank you..☺..

Introduction to biochemistry mastery test

Answers

Answer:

Explanation: DescriptionGRE Subject Biochemistry, Cell and Molecular Biology was a standardized exam provided by ETS that was discontinued in December 2016. It is a paper-based exam and there are no computer-based versions of it. ETS places this exam three times per year: once in April, once in October and once in November.

Can podocyte cells in the Bowmann capsule attach to any other basement membrane other than the glomerular basement membrane? That is, it can itself have a separate layer of base membrane?​

Answers

Answer:

"Podocytes are cells in the Bowman's capsule in the kidneys that wrap around capillaries of the glomerulus. Podocyte cells make up the epithelial lining of Bowman's capsule, the third layer through which filtration of blood takes place.[1] The Bowman's capsule filters the blood, retaining large molecules such as proteins while smaller molecules such as water, salts, and sugars are filtered as the first step in the formation of urine. Although various viscera have epithelial layers, the name visceral epithelial cells usually refers specifically to podocytes, which are specialized epithelial cells that reside in the visceral layer of the capsule. "

Explanation:

hope this helps

A person is dehydration and they start to bleed from their nose. But they're bleeding from only one nostril. Why?

Answers

Dryness of the nasal mucosa.
A dry nasal mucosa causes itching and people often scratch inside the nose due to this. It damages the delicate inner lining over the nostrils. Even if one does not scratch, the capillaries present there can rupture and bleed spontaneously due to excess dryness. This happens because the nasal mucosa is very thin and fragile. In conclusion, bleeding from one nostril is caused by too much Dry air — when your nasal membranes dry out, they're more susceptible to bleeding and infections.

The lining of your nose contains many tiny blood vessels that lie close to the surface and are easily damaged.

The two most common causes of nosebleeds are:

Dry air — when your nasal membranes dry out, they're more susceptible to bleeding and infections

Nose picking

Which of the following descries a solution that contain a buffer? A. Sodium hydroxide, a base, is added to the solution, and the pH of the solution becomes higher. B. Citric acid is added to the solution, but the pH of the solution does not change. C. Acetic acid is added to the solution, and the pH of the solution becomes lower. D. Distilled water is added to the solution, and the pH of the solution does not change.

Answers

Answer:

B. Citric acid is added to the solution, but the pH of the solution does not change.

Explanation:

In chemistry, buffer solutions or simply called Buffer are solutions that resist a change in pH when an acid or base is added to them i.e they maintain a constant pH. This is as a result of the content of the solution. A buffer may contain a weak acid and its conjugate base (salt) or a weak base and its conjugate acid.

Hence, when a strong base or acid is added to them, they still restore the original pH of the solution due to the reaction that removes or neutralizes the hydrogen or hydroxide ions from the acid and base added to them respectively. This is what happens when Citric acid is added to the solution, but the pH of the solution does not change.

Citric acid, which is an acid, does not practically increase or decrease the pH of the solution. Hence, the solution is called a buffer.

Answer:

Citric acid is added to the solution, but the pH of the solution does not change.

Explanation:

Got it right on Apex

Hope I helped! :)

Please help!

Without the discovery of magnetic reversals recorded on the ocean floor, scientists

A. could not confirm the usefulness of sonar

B. could destroy the hypothesis of continental drift

C. could not provide a mechanism for moving continents

D. could explain how the seafloor was being destroyed

Answers

Answer:

C. could not provide a mechanism for moving continents

Explanation:

Without the discovery of magnetic reversals recorded on the ocean floor, scientists  could not provide a mechanism for moving continents.

Magnetic reversals are responsible for geological shifts and depend on the distribution of tectonic plates that causes movements of continents.

Asymmetric movement of tectonic plates leads to movement of continents  and the degree of asymmetry varies with the same rythm of the magnetic reversal rate.

Hence, discovery of magnetic reversals are important to identify the mechanism for moving continents.

The study of a living being is called biology.

The correct answer is C.

Without the discovery of magnetic reversals recorded on the ocean floor, scientists could not provide a mechanism for moving continents because magnetic reversals are responsible for geological shifts and depend on the distribution of tectonic plates that causes movements of continents.

Asymmetric movement of tectonic plates leads to movement of continents and the degree of asymmetry varies with the same rhythm of the magnetic reversal rate.  Therefore the discovery of magnetic reversals is important to identify the mechanism for moving continents.

Hence, the correct answer is C that it could not provide a mechanism for moving continents.

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What is absorbed into the blood stream in small intestine and large intestine ?

Answers

Answer:

Digested food molecules

Explanation:

Small intestine absorbs water and digests nutrients into your bloodstream and waste products move into the large intestine

In the first 10 weeks of a resistance training program, the gains in strength are due primarily to Group of answer choices neural adaptations hypertrophy hyperplasia increased muscle fiber size

Answers

Answer:

The correct answer is A: Neural Adaptations  

Explanation:

From zero to ten weeks of starting a resistance training program, the above gains in strength happen as a result of Neural Adaptations

Strength training helps improve and increase the motor neuron pathways that strengthen the coordination between the brain and the body of the athletes during repetitive motion.

Cheers!

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What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please! Patrick graphed (shown below) the high temperatures (in C) that he experienced on each day of his trip toHomer, AlaskaWhat is the meaning of point A? What is the rule for the transformation below? What's the name for the part of Earth made of rock?A. GeosphereB. AtmosphereC. HydrosphereD. BiosphereSUBMIT How many milliliters of 7.10 M hydrobromic acid solution should be used to prepare 5.50 L of 0.400 M HBr PLS HELP, IF I GET THIS BAD I LOSE THE YEAR, AND LOSE MY FRIENDS, PLS DONT PUT SOMETHING RANDOM Which sentence in this excerpt from Anton Chekhov's The Proposal best reveals the setting of the play? NATALYA STEPANOVNA: Well, there! It's you, and papa said, "Go; there's a merchant come for his goods." How do you do, Ivan Vassilevitch! LOMOV: How do you do, honoured Natalya Stepanovna? NATALYA STEPANOVNA: You must excuse my apron and nglig. . . . we're shelling peas for drying. Why haven't you been here for such a long time? Sit down. [They seat themselves] Won't you have some lunch? LOMOV: No, thank you, I've had some already. NATALYA STEPANOVNA: Then smoke. . . . Here are the matches. . . . The weather is splendid now, but yesterday it was so wet that the workmen didn't do anything all day. How much hay have you stacked? Just think, I felt greedy and had a whole field cut, and now I'm not at all pleased about it because I'm afraid my hay may rot. I ought to have waited a bit. But what's this? Why, you're in evening dress! Well, I never! Are you going to a ball, or what?though I must say you look better. Tell me, why are you got up like that? LOMOV: [Excited] You see, honoured Natalya Stepanovna . . . the fact is, I've made up my mind to ask you to hear me out. . . . Of course you'll be surprised and perhaps even angry, but a . . . [Aside] It's awfully cold! If a and b are acute angles such that tan (a+b)= 1.73 and tan(a-b) =1/1.73, find a and b During vacation we can visit Zion National Park, camp in a secluded spot, and fish in a stream. is the sentence parallel or not? ux=x+y/k, solve for x If someone runs a red light in front of you, and you choose NOT to slowdown or steer away, you willA. not be at fault if there is a collisionB. be partially at fault if there is a collisionC. have to appear in court if there is a collisionD. probably not be involved in a collision According to data from the U.S. Department of Education, the average cost y of tuition and fees at public four-year institutions in year x is approximated by the equation where x = 0 corresponds to 1990. If this model continues to be accurate, during what year will tuition and fees reach $4000? Write each expression using a positive exponent. ("/" means division)("^" means to the power of) 9^-4 You have to prepare a pH 3.65 buffer, and you have the following 0.10M solutions available: HCOOH, CH3COOH, H3PO4, HCOONa, CH3COONa, and NaH2PO4. How many mL of HCOOH and HCOONa would you use to make approximately a liter of the buffer? how many nitrogen atoms are in 18.8 g of barium nitride Barkley and Timothy are engaged in a debate about child abuse.Barkley opines that white children are more likely to suffer from abuse.However, Timothy disagrees and argues otherwise.He opines that children belonging to minority groups are more likely to suffer from abuse.Which of the following is an accurate statement that strengthens Barkley's argument? A) Typically, most minority groups have close family ties and are less likely to physically or emotionally chastise their children. B) Latino families have a lower percentage of child victimization than their white counterparts. C) Unlike whites, African American families do not believe in disciplining children physically. D) Despite being more prevalent among minority groups, child maltreatment percentages are higher among whites. A _____________________ established a colony and served as an agreement between thecolony and the __________________. Only the King could _________________ acharter, so technically he was in charge. the sum of 35 and one fifth part of itself is added to the sum of one seventh of 11 and 8 An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 150 miles from the point and has a speed of 300 miles per hour. The other is 200 miles from the point and has a speed of 400 miles per hour.(a) At what rate is the distances between the planes decreasing?(b) How much time does the air traffic controller have to get one of the planes on a different flight path? On January 1, 2021, Splash City issues $320,000 of 8% bonds, due in 15 years, with interest payable semiannually on June 30 and December 31 each year. Required:Assuming the market interest rate on the issue date is 8%, the bonds will issue at $320,000. Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.) Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time it takes to produce the product using the new machine is significantly less than the production time using the old machine. To test the claim, independent random samples were taken from both machines. You are given the following results.New Machine Old MachineSample Mean 25 23Sample Variance 27 7.56Sample Size 45 36As the statistical advisor to Ajax, would you recommend purchasing Allied's machine? Explain.