In an ecological pyramid, what happens to energy, biomass and number of species as you move up?

Answers

Answer 1

Answer:

As you move up each trophic level energy decreases, trophic levels need energy to sustain it and hence it which means more resources, which decreases the number of organisms.


Related Questions

Pre-Lab Work
1. Design an Experiment: What is the independent variable in this experiment (i.e., the
variable that you manipulate)?

Answers

The independent variable would be the variable that you are testing. For example, if you are testing whether plants will continue to grow in the presence of light. You will set up an experiment where plants are placed under a light source and other plants are placed in a dark room etc. In this case, presence of light is thus an independent variable.

In a pedigree, a vertical line and a bracket connect _____. siblings to each other parents to their children husbands to wives

Answers

Answer:

In a pedigree, a vertical line and a bracket connect parents to their children.

Explanation:

A pedigree can be described as a diagram which depicts the lineage of a person and shows his/her ancestors in a pattern. A pedigree is very helpful in understanding any genetic disorders which occur in a family. It helps the doctor conclude that whether the parents will have the probability of having a normal child or not.

In a Pedigree, a vertical line will be drawn to show the parents and their children. A horizontal line is drawn between the parents.

Answer:

parents to their children

Explanation:

gradpoint

what happens to the particles when you put a metal spoon into a pot of boiling water.

Answers

Physics understands heat as the energy that is transferred from one system to another or from one body to another; a transfer linked to the movement of molecules, atoms and other particles. Heat is a source of energy, and as such, it needs a medium in which to transmit

what is the basic skeletal pattern of all limbs of animals on earth?

Answers

Answer:

The common plan for all limbs: one bone, followed by two bones, then little blobs, then fingers or toes. For Owen, seeing a design in the limbs was only the beginning: when he looked at skulls and backbones, indeed when he considered the entire architecture of the body

The basic skeletal pattern of all limbs in animals on Earth follows a common structure known as the "pentadactyl limb." This term refers to a limb with five distinct segments or digits. The pentadactyl limb is a fundamental feature shared by many vertebrates, including mammals, reptiles, birds, and amphibians.

The pentadactyl limb consists of the following segments, starting from the body and extending outward:

Humerus/Femur: This is the uppermost bone, connecting the limb to the body. In the forelimbs (arms or wings), it's called the humerus, while in the hindlimbs (legs), it's called the femur.

Radius and Ulna/Tibia and Fibula: These are the bones of the lower arm (forelimb) or lower leg (hindlimb). In animals with pentadactyl limbs, there are typically two bones in this segment. The radius and ulna are found in the forelimb, while the tibia and fibula are present in the hindlimb.

Carpals/Tarsals: These are the bones of the wrist (forelimb) or ankle (hindlimb). They form a cluster of small bones that provide flexibility to the limb.

Metacarpals/Metatarsals: These are the bones of the palm (forelimb) or the sole (hindlimb). They connect the carpals/tarsals to the digits.

Digits/Phalanges: These are the individual bones of the fingers or toes. In the pentadactyl pattern, there are typically five digits, although some animals have fewer due to evolutionary adaptations.

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The blood vessel that carries blood into the glomerulus is called the:
afferent arteriole
O vasa recta
peritubular capillary
O
efferent arteriole
arcuate artery
interlobular artery

Answers

Answer:

Afferent arteriole

Explanation:

A glomerulus is formed from the afferent blood vessels, a branch from the renal artery. The afferent arteriole collects blood from the glomerulus and extends to the renal tubule where it divides into capillaries that ramify the tubule. The afferent arteriole is wider than the efferent arteriole.

1 The effect of temperature on photosynthesis was investigated using the apparatus
shown in Figure 1.
OT WRITE IN THIS AREA
DO NOT WRITE IN THIS =
pondweed
in test tube
light
light meter
Figure 1
(a) Complete the equation for photosynthesis.
light
carbon dioxide + water –
water chlorophyll
glucose
SC
+ oxyger
(b) The pondweed was placed in a test tube of water at 10°C.
The number of bubbles of gas produced by the pondweed in three minutes was recorded.
This was repeated with water at different temperatures.
The light intensity was kept constant for each temperature.
(i) State why the light intensity absorbed by the pondweed is not the same as
the light intensity measured by the light meter.
(ii) Give two ways of improving this investigation.

Answers

The complete equation for photosynthesis is carbon dioxide + water producing glucose and oxygen, with light and chlorophyll vital to the process. Light intensity as measured may differ from what's absorbed by the pondweed due to multiple factors, and enhancements to the study can be made by controlling CO2 concentration and maintaining consistent temperature conditions.

(a) The complete equation for photosynthesis is:
carbon dioxide + water → glucose + oxygen, with light and chlorophyll as essential components for this process.

(b)(i) The light intensity absorbed by the pondweed is not the same as the light intensity measured by the light meter because of factors such as reflection, refraction, and absorption by the water, test tube, and other components of the apparatus, which can affect the actual intensity reaching the plant.

(b)(ii) Two ways of improving this investigation includes controlling for CO2 concentration, as CO2 availability can limit the rate of photosynthesis, and ensuring that the temperature remains consistent throughout the experiment, as temperature can affect the enzyme activity and gas solubility in the water, impacting photosynthesis.

Describe the biotic and abiotic features of the tropical rain forest

Answers

Things like soil, temperature, composition, and air would go under abiotic. This is because abiotic are the non-living things. However, the animals and plants in that environment would go under biotic. Biotic are the living things in the environment that depends on the abiotic things in their environment to survive. So snakes, trees, frogs, and any living thing that you would find in that environment would be considered as biotic.

Which of the following is true about prokaryotic and eukaryotic cells

Answers

Answer:

am NT sure

Explanation:

by I do think that a prokaryotic cell lacks a nucleus while a eukaryotic has a nucleus


Eukaryotic cells contain membrane-bound organelles, such as the nucleus, while prokaryotic cells do not. Differences in cellular structure of prokaryotes and eukaryotes include the presence of mitochondria and chloroplasts, the cell wall, and the structure of chromosomal DNA.

In a plant cell, DNA can be found in?
A.mitchondria
B.the nucleus
C.chloroplasts
D.all of the above

Answers

Answer:

d) All of the above

Explanation:

Like all living organisms, plants use deoxyribonucleic acid (DNA) as their genetic material. The DNA in plant cells is found in the nucleus, the mitochondria and the chloroplasts. ... DNA is a coded set of instructions for making RNA.

In a plant cell, DNA can be found in the nucleus, mitochondria, and chloroplasts, so the answer is D) all of the above.

What is plant cell?

A plant cell is a type of eukaryotic cell that is found in multicellular plants and is surrounded by a cell wall made of cellulose. Plant cells share many similarities with animal cells, such as having a nucleus, mitochondria, ribosomes, and other organelles that perform various cellular functions.

However, plant cells also have some unique features, such as chloroplasts, which are responsible for photosynthesis and give plants their green color, and a large central vacuole, which stores water and other substances. Plant cells also have plasmodesmata, small channels that allow for communication and transport of materials between adjacent plant cells. The unique features of plant cells enable them to carry out a wide range of functions essential for the growth and survival of plants.

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what is the sequence of events in Mendel's experiment with the pea plant?

Answers

Mendel, through his work on pea plants, discovered the fundamental laws of inheritance. Mendel followed the inheritance of 7 traits in pea plants, and each trait had 2 forms. He identified pure-breeding pea plants that consistently showed 1 form of a trait after generations of self-pollination.Mendel then crossed these pure-breeding lines of plants and recorded the traits of the hybrid progeny.He deduced that genes come in pairs and are inherited as distinct units, one from each parent. Mendel tracked the segregation of parental genes and their appearance in the offspring as dominant or recessive traits.

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Final answer:

Mendel's experiment with the pea plant involved identifying plants that bred true and selectively breeding purebred plants. He performed hybridizations to study the characteristics of the offspring.

Explanation:

Mendel's experiment with the pea plant involved several stages. He first identified plants that bred true, meaning they produced offspring that were the same as the parents. These parent plants are referred to as the P generation. Mendel then selectively bred only the purebred plants that always bred true, called the P1 generation. He continued to experiment with true-breeding plants to avoid the appearance of unexpected traits in offspring. Mendel performed hybridizations, mating two true-breeding individuals with different traits, to study the characteristics of their offspring.

Cells in a large multicellular organism communicate with each other by chemical signals. These signals are passed from one cell to another. To receive and respond to a chemical signal, a cell must have a --------------for that chemical.

Answers

Answer:

Cells in a large multicellular organism communicate with each other by chemical signals. These signals are passed from one cell to another. To receive and respond to a chemical signal, a cell must have a receptor for that chemical.

Explanation:

To generate a physiological response, all cells in the body have special proteins called receptors. These receptors are involved in detecting a chemical signal and generating a response. The receptors are specific for different kind of chemical signals. For example, a dopamine receptor will bind a dopamine molecule whereas an insulin receptor will be able to bind an insulin molecule. Apart from chemical signals, some cells might also respond to mechanical signals.

Final answer:

Cells in a large multicellular organism communicate with each other through chemical signaling. To receive and respond to a chemical signal, a cell must have a receptor for that chemical.

Explanation:

In multicellular organisms, cells communicate with each other through chemical signaling.

Chemical signals are passed from one cell to another, allowing cells to coordinate and fine-tune their functions.

To receive and respond to a chemical signal, a cell must have a receptor for that specific chemical.

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Match the following membrane component names with the correct letters in the cell membrane diagram below.


1.Phospholipids
2.Integral membrane protein
3.Carbohydrate chain
4.Cholesterol


Match the following membrane component functions with the correct letters in the cell membrane diagram below.

5. Helps identify a cell to macromolecules and other cells
6.Used to move large molecules through the membrane that cannot pass through by simple diffusion
7. Helps stabilize the lipid (phospholipid) bi-layer
8. Makes up most of the cell membrane

Answers

Answer:

The correct matching is given below.

Explanation:

1 phospholipid 8 makes up most of the cell membrane

2 integral membrane protein 6 used to move large molecules through the membrane that cannot pass through by simple diffusion.

3 Carbohydrate chain 5 helps identify a cell to macromolecules and other cells.

4 cholesterol 7 helps to staibilize the lipid(phospholipid ) bi-layer.

Place the following words into the illustration below: Gametes, sporophyte, gametophyte, and zygote. Explain each step (arrow) in the cycle, and how the terms are related.

Answers

Answer:

1. gametophyte

2. gamete

3. zygote

4. sporophyte

Explanation:

The life cycle of ferns has two systems for reproduction. Each system is known as one generation. The life cycle of ferns is an alteration of these generations.

1. sporophyte generation (release spores - diploid )

2. gametophyte generation (release gametes - haploid)

In genetics, diploid cells receive two sets of the chromosome from male and female parents. A haploid cell has only one set of chromosomes.

Spores grow on the surface of mature fern leaves. The haploid spores give rise to gametophytes. The gametophyte produces gametes within multicellular structures by the process of mitosis.  The fusion of male and female gametes to form a diploid zygote under fertilization. The development of the zygote gives rise to a diploid sporophyte. Within the sporophyte, spores will be formed by meiosis.

Here Is What I put...

what process of the carbon cycle is likely causing the increase in carbon dioxide levels shown in the graph above

Answers


The Changing Carbon Cycle. ... Most of the carbon in the atmosphere is in molecules of carbon dioxide (CO2). Carbon dioxide is a greenhouse gas; it causes heat to be retained in the atmosphere. By increasing the amount of this greenhouse gas in the atmosphere, Earth is becoming warmer.

Carbon dioxide levels have increased due to volcanic activity in the region. When a volcano erupts it releases carbon dioxide into the atmosphere.

What is Carbon cycle?

The carbon cycle is defined as the biogeochemical cycle by which carbon is exchanged between the biosphere, the pedosphere, the geosphere, the hydrosphere, and the Earth's atmosphere, where carbon is the main component of organic compounds, as well as carbon deposits such as limestone. It is a major component of many minerals. ,

The carbon cycle is important to life on Earth where nature keeps carbon levels in balance, meaning that the amount of carbon naturally released from reservoirs is equal to the amount naturally absorbed by the reservoirs.

Thus, Carbon dioxide levels have increased due to volcanic activity in the region. When a volcano erupts it releases carbon dioxide into the atmosphere.

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______ are found in the stroma of chloroplasts small coins that provide energy. numerous mitochondrial membranes. stacks of thylakoids called grana. organelles called eukaryotes

Answers

Answer:

The correct answer is small coins that provide energy

Explanation:

Small coins structures are found in chloroplast which are termed as thylakoid.There are stacks like arrangement of thylakoids within the granum.

    The Surface area of thylakoids is being increased by grana as a result more light is absorbed by the chloroplast.

   The thylakoid of granum is the site of light reaction.

   

Substances diffuse naturally from an area of higher to lower

Answers

Explanation:

Substances diffuse naturally from an area of higher to lower concentration.

Via diffusion, small molecules can move from regions of high concentration to regions of low concentration until an equilibrium- a stable balance of solute: solvent, is reached. This occurs along the concentration gradient of the molecule, and usually involves small non-polar molecules in cells such as oxygen and carbon dioxide.  In cellular transport, diffusion is also referred to as passive transport.

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In a mitochondria chemical energy becomes available to cells through a process called

Answers

Answer:

Oxidative phosphorylation.

Explanation:

Mitochondria use oxygen, which is available within the cell to convert chemical energy from food in the cell to energy in the usable form to the host cell. This process is called oxidative phosphorylation. It occurs inside of the mitochondria. In the matrix of mitochondria, the production of NADH happens by the citric acid or Krebs cycle. After the creation of NADH, it is used by enzymes that are fixed in the mitochondrial inner membrane to produce  ATP. Energy is stored in the ATP as a form of chemical bonds.

These bonds can be opened, and the energy can be delivered.

People build a dam to create a reservoir that supplies water a nearby city needs. Which of the following describes the effect this action will have on the Waterbury cycle for the region? A. Increased algae growth B. Reduction in the amount of groundwater downstream C. Prevention of aquatic dwelling organisms from moving past the reservoir will affect biodiversity D. Deprivation of nutrients-rich freshwater for plants and animals

Answers

Answer:

B) Reduction in the amount of groundwater downstream

Explanation:

Got it right on the quiz

The  following describes the effect this action will have on the Waterbury cycle for the region is deprivation of nutrients-rich freshwater for plants and animals. Correct Option is 4.

Building a dam to create a reservoir can have a significant impact on the local water cycle, leading to the deprivation of nutrient-rich freshwater for plants and animals. The Waterbury cycle, also known as the water cycle or hydrological cycle, refers to the continuous movement of water on, above, and below the Earth's surface. Dams can disrupt this cycle by altering the flow of water in rivers and streams.

When a dam is built to create a reservoir, it can block the natural flow of water downstream. This can result in the accumulation of water behind the dam, forming the reservoir. As water is stored in the reservoir, it can lead to reduced downstream flow, which in turn affects the supply of nutrients, sediments, and organic matter that would normally flow downstream. These nutrients are essential for supporting aquatic plant and animal life downstream.

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The observed redshifts of galaxies are evidence for the Big Bang Theory of the origin of the universe because they indicate that ​

Answers

Answer:

Are moving rapidly away in all directions

Explanation:

Edwin Hubble discovered in 1929 that the distance to far away galaxies were generally proportional to their red shifts astronomers viewing distant stars see evidence of this expansion evidence of red shift

I hope this helps Mate :) Sorry im late

Susana heats up a sample of red crystals. While the sample is being heated, a gas is released and a blue powder is left after the heating. Is the sample of red crystals an element or a compound? Explain your answer.


MY ANSWER:

The red crystals are compounds. This is because when the sample is heated, a GAS (element) is released and BLUE POWDER (element) is left. Two elements make up these red crystals. A compound can also be shown through color change - the RED crystals, when heated, turn into BLUE powder. Elements cannot be broken down into substances using physical force, like heating. So yes, this is a compound.


SAMPLE ANSWER:

Susana's red crystal sample is a compound because it was broken down into a gas and blue powder. It is not an element because elements cannot be broken down into simpler substances by ordinary means, such as heating.


MAKE SURE TO INCLUDE AND ELABORATE ON THE FACT(S) THAT:


- Elements cannot be broken down into simpler substances.

[and]

- Compounds can be broken down into simpler substances.


I hope this helps! I wanted to post this for the help of future searchers.


Answers

Answer:

You can use either your answer or the sample answer you gave. You are so nice by the way!

Explanation:

THE FOLLOWING ARE TWO ANSWERS YOU CAN CHOOSE FROM

ANSWER 1:

The red crystals are compounds. This is because when the sample is heated, a GAS (element) is released and BLUE POWDER (element) is left. Two elements make up these red crystals. A compound can also be shown through color change - the RED crystals, when heated, turn into BLUE powder. Elements cannot be broken down into substances using physical force, like heating. So yes, this is a compound.

ANSWER 2:

The red crystals are compounds. This is because when the sample is heated, a GAS (element) is released and BLUE POWDER (element) is left. Two elements make up these red crystals. A compound can also be shown through color change - the RED crystals, when heated, turn into BLUE powder. Elements cannot be broken down into substances using physical force, like heating. So yes, this is a compound.

EITHER ONE YOU CHOOSE WILL BE CORRECT, JUST SAYING!

1. What is a predator?

2. Are all predators animals?

Give examples to support your answer.

Your answer should include at least three complete sentences.

Answers

Answer:

There are four commonly recognized types of predation: (1) carnivory, (2) herbivory, (3) parasitism, and (4) mutualism. Each type of predation can by categorized based on whether or not it results in the death of the prey.

Explanation:

Some examples of predator and prey are lion and zebra, bear and fish, and fox and rabbit. The words "predator" and "prey" are almost always used to mean only animals that eat animals, but the same concept also applies to plants: Bear and berry, rabbit and lettuce, grasshopper and leaf.The best-known examples of predation involve carnivorous interactions, in which one animal consumes another. Think of wolves hunting moose, owls hunting mice, or shrews hunting worms and insects.

The relative concentration of water in a hypotonic solution is _____. low high stable equal

Answers

Answer:

The correct answer is high.

Explanation:

Hypotonic solution is a specific type of solution in which the concentration of water molecules is high than that of solute molecules present within that solution.

What can be inferred about the role of a ribosome

Answers

Ribosome is a site for protein
Ribosomes are made up of rRNA required for protein synthesis in the cytoplasm or at the rough endoplasmic reticulum of the cell

Which statement summarizes the main purpose of photosynthesis?
olide in the form of sugar

Answers

Explanation:

Complete question...

a) It converts gases to solids in the form of sugar.

b) It converts carbon to oxygen.

c) It converts light energy to chemical energy.

d) It converts energy to mass.

c) summarizes the main purpose of photosynthesis.

Carbon and oxygen from carbon dioxide and water end up as part of a glucose molecule while oxygen is released into the atmosphere.

Photosynthesis is a chemical pathway that’s integral to producing energy in plants and other primary producers. Energy in the form of molecules of glucose is produced from light, water and carbon dioxide while oxygen is released.

Further Explanation:

This occurs in several complex steps, photosynthesis is a rate limited reaction, depends on several factors including carbon dioxide concentration, ambient temperature and light intensity; the energy is retrieved from photons, I.e. particles of light, and water is used as a reducing agent. This begins in the thykaloids, where pigment molecules like chlorophyll reside.

The chloroplast is a membrane-bound organelle found in plants. It contains several invaginations of a plasma membrane called the thylakoid membrane. This contains chlorophyll pigments, in stacks called granum, while the internal spaces of the organelle are called the lumen. Liquid surrounds the granum, forming the stroma.

Particles of light, and water is used as a reducing agent.

6CO2 + 6H20 + (energy) → C6H12O6 + 6O2  

Carbon dioxide + water + energy= glucose + oxygen

Water supplies the chlorophyll in plant cell with replacement electrons for the ones removed from photosystem II. Additionally, water (H2O) split by light during photolysis into H+ and OH- acts as a source of oxygen along with functioning as a reducing agent; it reduces the molecule NADP to NADPH by providing H+ ions. NADP and NADPH are integral to the Calvin cycle where monosaccharides or sugars like glucose are produced after the modification of several molecules.

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The central dogma of molecular biology is centered upon the process of _________, in which the information from DNA is transcribed and translated, resulting in amino acids being joined into polypeptides.
A) replication
B) translation
C) protein synthesis
D) carbohydrate synthesis

Answers

Answer:

protein synthesis

Explanation:

During the process of transcription DNA is used as a primer to produce a messenger RNA, catalyzed by the enzyme RNA polymerase. This process takes place in the nucleus of a cell.

The mRNA is transported to cytoplasm after processing or what we call splicing, to remove non-coding regions of RNA.

In the cytoplasm the process of translation takes place in the organelles called ribosomes where the tRNA with the anticodons reads the codons on the mRNA forming amino acids that are joined together to form polypeptides and proteins.

Answer:

The central dogma of molecular biology is centered upon the process of protein synthesis, in which the information from DNA is transcribed and translated, resulting in amino acids being joined into polypeptides.

Describe the term Xylem

Answers

Answer:

the tissue in plants that conducts water and nutrients upwards from the root

What impact would an artificial leaf have on environment?

Answers

an artificial leaf could replicate photosynthesis but instead it would also be artificial which then produces hydrogen fuel that will be energy efficient and carbon neutral. hope this helps.

Scientists show the composition of compounds by a kind of shorthand known as a chemical formula.
OT
OF​

Answers

Answer:

True

Explanation:

Mary has type A blood. Her son Bill has type AB blood. Which blood type does Bill's dad have if he is homogenous for blood
type?
B
O AB
0

Answers

Answer:

Bill's dad has blood type B

Explanation:

See punnet squares attached

It's given that the dad's blood type is homogenous -> the two letters must be the same. So we can eliminate AB, we have B and O as the options left

If the dad's blood type is O, using punnet square, we can figure out that it then would be impossible for Bill to have blood type AB (AO = blood type A) --> Incorrect

If the dad's blood type is B, using punnet square, we see that the probability that Bill has blood type AB is 100%

Answer:

B, Bill has blood type B) on edge 2020

Which event would most likely throw off dynamic equilibrium in an ecosystem? a lengthy drought, the birth of a litter of rabbits, a hunter killing a deer the death of several plants

Answers

A lengthy drought is the event most likely to disrupt dynamic equilibrium in an ecosystem due to the critical role of water in maintaining plant and animal life, and the cascading effects on food chains and survival of species.

Droughts can have severe impacts on ecosystems, as they can lead to a shortage of water resources, which are critical for the survival of plants and animals. For example, in the Four Corners area, a lengthy drought was associated with a vegetation increase followed by a rise in the deer mice population, which led to the outbreak of Hantavirus in humans. Additionally, droughts can disrupt food chains by causing the death of plants, which are the primary producers in most ecosystems. Changes in vegetation can also lead to mismatches in food availability for animals that rely on certain plants. The death of several plants, which might occur as a result of a drought, also affects ecosystems but typically on a smaller scale than a prolonged absence of rain.

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Because eric is a price taker, this last condition can also be written as solve equation x(x-2) (x- 1) =0 Please help I need an awnser Please choose multipleWhich qualifications are unique to Emergency and Fire Management careers? Select all that apply.handling emergencies and dangers with courage and stress managementunderstanding details for inspecting hazardsdisplaying integrity and teamworkhaving quick reflexes and first-aid skillshaving critical thinking and observational skillshaving driving skills and the ability to use ladders, hoses, and medical tools According to the facial feedback hypothesis, when Noah complies with instructions to smile and look happy, it is most likely that ________. allII.This time of of year, it rains at some point in the day on a quarter of the days.Before getting any additional evidence, what are the odds that it's going to rain atsome point in the day?a. 1/1b. 3/1c. 1/3d. 4/1e. 1/4 The foot-in-the-door phenomenon refers to the tendency to A. neglect critical thinking because of a strong desire for social harmony within a group. B. comply with a large request if one has previously complied with a small request. C. experience an increasing attraction to novel stimuli as they become more familiar. D. perform simple tasks more effectively in the presence of others. Why did Georgia want Native Americans relocated to Indian Territory? A) Native Americans carried many diseases that were fatal to white settlers. B) Native Americans wanted the right to vote. C) The population of the state was increasing and much of land owned by white farmers had been depleted of its minerals. D) Native Americans were attacking white settlers and threatening to take over the Georgia State Legislature. How did the Soviet policy of perestroika contribute to the breakup ofthe Soviet Union?OA. It allowed the United States to economically dominate theSoviet Union.OB. It contributed to instability in the Soviet Union by creatinghigh inflation rates.c. It outraged wealthy Soviet citizens by redistributing theirproperty to the poor.OOD. It demonstrated that the Soviet Union was no lorgercommitted to supporting communism. On a coordinate plane, parallelogram K L M N shown. Point K is at (7, 7), point L is at (5, 3), point M is at (1, 1), and point N is at (3, 5). Which statement proves that parallelogram KLMN is a rhombus? a. The midpoint of both diagonals is (4, 4). b. The length of KM is [tex]\sqrt{72}[/tex] and the length of NL is [tex]\sqrt{8}[/tex]. c. The slopes of LM and KN are both One-half and NK = ML = [tex]\sqrt{20}[/tex]. d. The slope of KM is 1 and the slope of NL is 1. Saks is expected to pay a dividend in year 1 of $1.80, a dividend in year 2 of $2.12, and a dividend in year 3 of $2.69. After year 3, dividends are expected to grow at the rate of 8% per year. An appropriate required return for the stock is 11%."What should the stock price be worth after three years? What are some dangers of biodiversity and modern farming practices Suppose you are walking down a street. A woman has fallen down but because there are so many people around it does not occur to you that you should help. You just assume someone else is about to help her and keep walking. This is an example of ________. The two-way table shows the number of houses on the market in the Castillos price range. A 6-column table has 4 rows. The first column has entries 1 bathroom, 2 bathrooms, 3 bathrooms, total. The second column is labeled 1 bedroom with entries 67, 0, 0, 67. The third column is labeled 2 bedrooms with entries 21, 6, 18, 45. The fourth column is labeled 3 bedrooms with entries 0, 24, 16, 40. The fifth column is labeled 4 bedrooms with entries 0, 0, 56, 56. The sixth column is labeled Total with entries 88, 30, 90, 208. What is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms Determine the missing measures.38, a= Kevin drove from A to B at a constant speed of 60 mph, turned immediately around, and returned at a constant speed of 80 mph. Exactly 4 hours before the end of his trip, he was still approaching B, only 15 miles away from it. What is the distance between A and B? How did changes in peoples living arrangements caused by the agricultural revolution influence the rise of industrialization in britian Solve for x,z,y-x + y + 3z = -3X - 2y - 2z = 83x - y - 4z = 6 Consider the line y=4 x -1 and the point P=(2,0). (a) Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final answer should only involve the variable x. Then d(x) = (4x)2(4x1)2 (b) d'(x)= (c) The critical number is x= . (d) The closest point on the line to P is ( , ). If the graph of f(x) = x is shifted up 9 units, what would be the equation of the new graph?A. g(t) = 95(r)B. g(x) = f(x) - 9OC. g(x) = 9 f(x)D. g(t) = f(t) +9 What is the greatest common factor (GCF) of 48 and 56? A. 168 B. 8 C. 4 D. 336