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

When making bread why is the dough left in a warm place for a while before putting it in the oven

Answers

Answer:

so that bread will rise when heating

Explanation:

the yeast will activate and be ready to produce gases when baking

Which phrase describes a feature of groundwater?

Answers

Answer:

feeds rivers

Explanation:

Answer:

A

Explanation:

Which is not a characteristic of life?

Answers

Answer:

(Movement) is more apporopriate.

Explanation:

All of the above are characteristic of life.But movement can also occure in non-living things.by external force applied by humans.

but maintaining homeostasis,having cells, obtaining energy and using it, are some specific characteristics carried only by living beings for life.

MRSGRENH ( movement, respiration,secretion, growth, reproduction, excretion, nutrition, homeostasis) keep those in mind

On May 18, 1980, Mount St. Helens in Washington State experienced a huge volcanic eruption after a magnitude 5.1 earthquake. During the eruption, hot ash and pumice poured down the west, south, and east sides of the mountain, melting the snow and ice at the top of the volcano and producing volcanic mudflows. Which type of process first occurred in the ecosystem around Mount St. Helens after it erupted?
primary succession
secondary succession
a climax community
species extinction

Answers

Answer:

Primary succession

Explanation:

Primary succession is mostly cause by volcanic eruption

The first ecosystem to occur in the Mount St. Helens after eruption is the primary succession.

What is a primary succession?

The term primary succession refers to the organisms that first occur in an ecosystem after a major event such as the volcanic eruption has taken place.

In this case, the first ecosystem to occur in the Mount St. Helens after eruption is the primary succession.

Learn more about primary succession: https://brainly.com/question/26675203

Which of the groups below has suffered the greatest percentage of species extinctions since 1600 (A) birds, (B) fishes, (C) mammals, (D) reptiles

Answers

(a) Birds is the correct ans

Explanation:

.......

Answer:

My guess would be mammals

Explanation:

Habitat destruction

2. How are each of the following groups likely to feel about the reintroduction of wolves in Yellowstone National Park? (write 2-3 sentences for each)

a. Tourists who visit the park

b. Environmentalists (people who want to protect the nature of Yellowstone)

c. People who live near the park

Answers

Answer:

a) Good

b) Good

c) Bad

Explanation:

Tourists who visit the park feels good about the reintroduction of wolves in the park because it is a new animal they are seeing in the park. Environmentalists also feels good because this action is a step towards the protection of organisms present in the nature. People who live near the park does not feel good because wolf is a dangerous animal and if he escaped from the park, the lives of the people will be in danger.

why it is necessary to water the plant for experiment​

Answers

Answer:

To activate the process of germination.

Explanation:

So the plants can get the whole photosynthesis step because it need sunlight and water to continue to grow.

define uniform and non-uniform velocity. How much acceleration is produced on an object at uniform motion, why?​ Pls answer my question anyone pls!

Answers

Answer:

when a body covers equal distance in equal interval of time with a known direction, small the interval may be then velocity is said to be uniform velocity.

when an object covers unequal distance in a specified direction is said to be non-uniform velocity.

It produce zero acceleration as acceleration is defined as the rate of change of velocity per unit time. So, if the body exhibit uniform velocity,then the rate of change of velocity (dv=0) will be zero.

Explanation:

This answer may help u .

what is the difference between your town's minimum temperatures yesterday? In your answer, list one explanation for why temperature changes during the day.

Answers

Answer:

Maximum temperature was 40 Celsius at daytime while temperature at night was 31 Celsius.

Explanation:

Yesterday maximum temperature was 40 Celsius at daytime while temperature at night was 31 Celsius because during daytime the intensity of sunlight increases the temperature of the particles present in the atmosphere.  So at daytime, temperature increases while at night decrease occurs in the temperature. There is a lot of fluctuation in temperature at daytime due to increasing and lowering the intensity of light.

Answer:

The difference between the high and low temperatures in New York City was 12 degrees. One reason for the temperature difference is Earth’s rotation. Temperatures are generally warmer during the day because that side of the planet is heated by the Sun. At night, that side faces away from the Sun. So, temperatures will be cooler.

Explanation:

what is a abscisic acid​

Answers

Answer:

a plant hormone which promotes leaf detachment, induces seed and bud dormancy, and inhibits germination.

Abscisic acid (ABA) is a plant hormone. ABA functions in many plant developmental processes, including seed and bud dormancy, the control of organ size and stomatal closure. It is especially important for plants in the response to environmental stresses, including drought, soil salinity, cold tolerance, freezing tolerance, heat stress and heavy metal ion tolerance

Which is a use for clay? ceramics batteries plaster chalk

Answers

Ceramics

Explanation:

nothing much

search

Ceramics is referred as a use for clay.

What are Ceramics?

These are substances which are  made by shaping and then firing an inorganic and nonmetallic material at a high temperature.

A common example of the inorganic materials used is clay which is subjected to a high temperature in a furnace thereby making option A the most appropriate choice.

Read more about Ceramics here https://brainly.com/question/1604035

Genesis that forms from high-grade region of heat and pressure example of steps in ____ cycle


1. Rock cycle

2. Carbon cycle

3. Tectonic cycle

4. Water cycle

Answers

Answer:

tectonic cycles

Explanation:

the house in question was

write the four names of disease,causative agent,disease spread mechanism, precautions.

give the correct answer.​

Answers

Explanation:

hhxuxjxcjieidie you doing today I don't euheudux ruurjf don't know e u you have uhcjfudjrjfju jfjfjfjfjjffj y I will call him tomorrow is fine with Grace to call you back I don't think so much and have been in contact and o I don't think so I have no clue how was the office and they are going home for the holidays so much energy and o o to working together you are welcome dear I will

H20fall, how do I find out how much salt is in my pool?

Answers

A very peculiar question, kind sir

I supposed one can start by allowing his pool water to evaporate in the blazing summer heat in order to separate the solute (salt) from the solvent (water). After the separation, the obtained mass of salt can be measured on a scale in order to determine the concentration of salt that is present within thy swimming pool. This technique is the most classic of all, and is also the most expedient way to extract salt from water.

what mode of nutrition is house fly​

Answers

Answer:

Houseflies do not have chewing mouthparts like a cockroach or piercing-sucking mouthparts like a mosquito. They regurgitate digestive enzymes, soften and liquify the food material, and then they sop it up with their sponging mouthparts.

Hope this makes sense and helps

what effect does smoking have on cilia.

Answers

Answer: The cilia sweep out mucus and dirt so your lungs stay clear. Smoking temporarily paralyzes and even kills cilia. This makes you more at risk for infection. Smokers get more colds and respiratory infections than non-smokers.

Explanation:

What is the independent and dependent variable? Two groups of students were tested to compare their speed working math problems. Each group was given the same problems. One group used calculators and the other group computed without calculators
__________________________

Answers

Answer:

The dependent variable is the one that depends on the value of some other number. ... Another way to put it is the dependent variable is the output value and the independent variable is the input value. So for y=x+3, when you input x=2, the output is y = 5.

Hope this helps you ❤️

MaRk mE aS braiNliest ❤️

Consider the following chromosomes and if they are affected by hemophilia. X - unaffected X chromosome, x = X affected by hemophilia, and Y = Y chromosome. If an Xx female and XY male have children, what fraction of their offspring will have an affected chromosome, and what fraction is likely to be affected by the hemophilia? (1 point) A. 1/4 and 1/2 B. 1/2 and 1/4 C. 1/2 and 1/3 D. 1/4 and 1/4 Ive been stuck on this for a while now, can someone please assist?

Answers

Answer:

B. 1/2 and 1/4

Explanation:

Hemophilia is a disease inherited in humans. It is only carried on the X chromosome, hence, it is said to be X-linked. In this question;

X - unaffected X chromosome

x = X chromosome affected by hemophilia,

Y = Y chromosome

Hence, in a cross between a Xx female (carrier) and a XY male (unaffected), the following chromosomes will be present in the gametes produced by each parent:

Xx- X and x gametes

XY- X and Y gametes

Using these gametes in a punnet square (see attached image), offsprings with genotypes: XX, Xx, XY and xY are produced.

XX (1) - unaffected normal female

Xx (1) - unaffected carrier female

XY (1) - unaffected normal male

xY (1) - affected male

Based on the questions;

- 2 out of the possible 4 children have the affected chromosomes i.e. both xY son and Xx daughter have the x chromosome. Hence, the fraction is 1/2

- 1 out of the 4 possible children is affected by hemophilia, which is the xY son. Hence, the fraction is 1/4.

Answer:

1/2 and 1/4

Explanation:

Took the test

find the LCM of two numbers if there product is 160 and hcf is 4.​

Answers

Answer:

40

Explanation:

given

product of two numbers =160

hcf =4 we know that

hcf*LCM=product of the numbers

LCM*4=160

LCM=160/4

LCM=40

The adrenal glands produce hormones that impact short-term responses, including fear and anger.

Norepinephrine and __________ are examples of these hormones.

Answers

Answer:

Epinephrine, also known as Adrenaline

Explanation:

Adrenaline impacts short-term mood and can take seconds to flood your system.

*it may also be cortisol, I'm not sure if there's more context. Cortisol takes longer to work and can have long-term effects.

When you examine fluid that you have drawn from a blood vessel in someone's arm, you find that it is relatively high in carbon dioxide and waste products. Assuming that the fluid comes from a healthy individual, you conclude that the blood vessel from which you have drawn blood could have been ______.

Answers

Answer:

The given blank can be filled with a venule.

Explanation:

A small blood vessel in the microcirculation, which connects the capillary beds to the veins is known as the venules. Various venules combine to form a vein. The walls of a venule are formed of three layers, that is, the inner endothelium formed of squamous endothelial cells, a middle layer of elastic and muscle tissue, and an external layer formed of fibrous connective tissue.  

The size of a venule ranges from 8 to 100 micrometers in diameter and are produced when capillaries come in close association. A venule refers to a small blood vessel that permits the deoxygenated blood high in carbon dioxide and waste products to return from capillary beds to the bigger blood vessels known as veins.  

Choose appropriate words to complete the paragraph below to explain the general trends shown in a predator-prey graph.

Breathe, Muscles, Oxygen, Lactic, anaerobic respiration, Oxygen aerobic respiration, Break down


An increase in the prey population provides more food for the _________ , allowing more to survive and _________ . This is turn results in an _________ in the predator population. The larger predator population eats more prey organisms, causing a _________ in the prey population. The death rate of the prey is larger than its _________ rate. The reduced prey population can no longer support the large predator population. _________ for food increases, resulting in a _________ in the size of the predator population. Reduced predator numbers results in less of the prey population being killed. More prey _________ and reproduce so the prey population _________ again.

Answers

Answer:

.....................

which promotes a more substainable use of resource

Answers

Environmental sustainability doesn't mean living without luxuries but rather being aware of your resource consumption and reducing unnecessary waste.
Reduce household energy use. ...
Eat locally. ...
Dispose with disposables. ...
Plant seeds. ...
Recycle. ...
Resell and donate items. ...
Drink from the tap. ...
Save water.

Answer:

Decreasing overconsumption

Explanation:

During the last years, environmental concerns have increased due to high levels of contamination and destruction of ecosystems. In response to this situation, a worldwide movement has emerged that promotes environmentally friendly practices that aim at reaching sustainability. The term "sustainability" refers to a global trend to find the balance between the conservation of nature and the use of natural resources; one of the most important principles to achieve this is to reduce consumption; this leads to a decrease in the negative impact of human societies as fewer resources are taken from nature and thus, ecosystems are preserved. So, the correct answer is decreasing overconsumption

The notion that the traits that help a species survive and reproduce are passed along more frequently than those that do not (i.e. differential reproduction and adaptation) is known as

Answers

Answer:

Natural selection

Explanation:

According to  Darwin's theory, natural selection is the process by which individuals better adapted to their environments have more chances to survive and reproduce, and thereby their descendants will be better represented in the next generation. This mechanism exploits the existence of natural variation among members in the population which is used to select those individuals that are better adapted (i.e., with a higher adaptive fitness) for their environments. Natural selection is a key mechanism of evolution by which species change across time.

Abnormal vascular regulation by endothelial cells in small vessels of the heart contributes to:___________. a. Hypertension b. Dysrhythmias c. Truncus arteriosus d. Ischemic heart disease

Answers

Answer: The correct answer to the question is option D

ISCHEMIC HEART DISEASE.

Explanation: To answer the question effectively, let us look at the options given,what they are and how they affect the heart.

Endothelial cells play a crucial role in the regulating vascular tone,They do so by secreting variable amounts of constricting and relaxing factors inorder to control tissue perfusion.

Hypertension on the other hand occurs as a result of factors that varies distinctively and not all related to vascular tone.

Dysrhythmias on it's own will affect the function and conduction of heart chambers but not necessarily vascular tones.

Truncus arteriosus results in only in one large artery exiting/leaving the heart.

____is associated with deamination of protein​

Answers

Answer:

Deamination is the removal of an amino group from a molecule

Deamination is associated with deamination of protein​

Answer:

in humans , deamination  takes place primarily in the liver, it can also occur in the kidney. if there's excess protein intake , deamination is used to break down proteins with amino acids for energy

Motor vehicles move, use energy and produce carbon dioxide and water. similar characteristics occur in living organisms yet motor vehicles are not classified as living. list the other characteristics of living that do not occur in motor vehicles

Answers

Explanation:

Motor vehicles don't

#produce; 

#grow;

#Respond to stimuli/ irritability;

The characteristics of living that a motor vehicle lacks include the ability to feed, respond to stimuli, grow, reproduce, and die.

Living organisms carry out nutrition, unlike motor vehicles.

Living organisms are able to respond to external stimuli but motor vehicles cannot.

Living organisms are able to grow/increase in size, motor vehicles have fixed sizes.

Living organisms have the capacity to reproduce for continuity, motor vehicles lack this ability.

After some time, living organisms die, motor vehicles do not die naturally.

More on the characteristics of living things can be found here: https://brainly.com/question/280237?referrer=searchResults

choose the animal belonging to pisces group: silver fish, sea horse,dolphin, lobster. answer asap! thx​

Answers

Answer:

The correct answer is

Explanation:

Lobster is the answer. People eat lobster in pieces which we call as lobster piece.

Hope this helps....

Have a nice day!!!!

An injury to the spinal cord in which section of vertebrae could cause tetraplegia?

Answers

Answer:

The nerves exiting the vertebrae in the neck area or cervical segments are referred to as C1 through C8. These nerve control signals to the neck, arms, hands, and internal organs. Injuries to these areas result in tetraplegia.

Answer:

cervical

Explanation:

“Most people with tetraplegia have significant paralysis below the neck, and many are completely unable to move. This form of paralysis is typically the product of damage high in the spinal cord, usually in the cervical spine between C1-C7. The higher the injury is, the more extensive the damage will be.”

Imagine you discover a new human parasite like T. gondii that forms cysts in the brain. You suspect it is altering human behavior. You also determine that it is transmitted through sharing food. In what ways would you predict that it zombifies its hosts (alters their behavior)?

Answers

Hello. This question is incomplete. The full question is:

Imagine you discover a new human parasite like T. gondii that forms cysts in the brain. You suspect it is altering human behavior. You also determine that it is transmitted through sharing food. In what ways would you predict that it zombifies its hosts (alters their behavior)?

a. It should make them feel sick and rest in bed.

b. It should make them want to host more people for social dinners.

c. It should make them want to prepare meals more.

d. It should reduce their sanitary practices (e.g. washing hands) while preparing food.

e. It should make them want to horde food.

Answer:

a. It should make them feel sick and rest in bed.

b. It should make them want to host more people for social dinners.

c. It should make them want to prepare meals more.

d. It should reduce their sanitary practices (e.g. washing hands) while preparing food.

Explanation:

The options shown above are the only ones that show possible changes in personal behaviors related exclusively to the behavior of a person, who may be suffering from the damage caused by a parasite in the brain. The "e" option does not represent a change in behavior and does not depend exclusively on a sick individual due to the action of a parasite.

As you may already know, the brain governs our body in all factors, for this reason, cysts in this organ can trigger behavioral changes.

Answer: a. It should make them feel sick and rest in bed.

Explanation:

The full question is:

Imagine you discover a new human parasite like T. gondii that forms cysts in the brain. You suspect it is altering human behavior. You also determine that it is transmitted through sharing food. In what ways would you predict that it zombifies its hosts (alters their behavior)?

a. It should make them feel sick and rest in bed.

b. It should make them want to host more people for social dinners.

c. It should make them want to prepare meals more.

d. It should reduce their sanitary practices (e.g. washing hands) while preparing food.

e. It should make them want to horde food.

Toxoplasma gondii is a protozoan parasite that causes toxoplasmosis, a generally mild but potentially fatal disease, especially in cats and human fetuses. Cats and other felines are considered their ultimate hosts because the sexed phase of their life cycle takes place there, making these animals the primary hosts of the parasite. The asexual phase of the life cycle can occur in any warm-blooded animal, such as other mammals and birds. Therefore, toxoplasmosis is a parasitic zoonosis.

Parasites invade the cells, forming a compartment called the parasitophore vacuole which form cysts in tissues, especially in the muscles and brain. Because the parasite is inside the cells, the host immune system does not detect these cysts. Antibiotic resistance varies, but cysts are difficult to eradicate entirely. Therefore, T. gondii spreads within these vacuoles through a series of binary divisions until the infested cell eventually breaks free.

Some people have flu-like signs and symptoms, which may be:

Swollen lymph nodesHeadacheFeverFatigueWidespread pain

In people with impaired immune systems, symptoms may also include:

ConfusionLack of coordinationConvulsionsBlurred vision caused by intense swelling of the retina

In recent years, several investigations indicate that the parasite can cause changes in the behavior associated with impulsivity, and personality disorders. So, we could predict it zombifies the host by changes in the behavior, because of the damage caused by a parasite in the brain. It is important to consider that the brain governs the body, and cysts found there can trigger these changes.

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Petrus Framing's cost formula for its supplies cost is $1,700 per month plus $8 per frame. For the month of March, the company planned for activity of 610 frames, but the actual level of activity was 613 frames. The actual supplies cost for the month was $6,870. The activity variance for supplies cost in March would be closest to: Write the number of the encyclopedia volume that would have the most information for each of these topics. What are the dimensions of the matrix? Is speed the rate of change in the velocity of a moving body? The Soma Inn is trying to determine its break-even point. The inn has 75 rooms that are rented at $60 a night. Operating costs are as follows:Salaries $9,700 per monthUtilities 2,700 per monthDepredation 1,300 per monthMaintenance 700 per monthMaid service 8 per roomOther costs 34 per roomRequired:a. Determine the inn's break-even point in (1) number of rented rooms per month and (2) dollars.b. 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