Our overall goal in this problem is to find the location of a point b that lies on the line between points A and C.
What do know from what's given?
Location of point A
Location of point C
The relative distance of point B along the segment/line AC (given as a ratio of 3:1)
Now that we have listed everything we know, lets figure out what we can calculate based on this information:
Since we have both the locations of points A and C, lets calculate the length of this segment. For this we can think of this edge as the hypotenuse of a right triangle that is formed from the height (which is the distance between the x-coordinates) and the base (which is the distance between the y-coordinates).
We'll need two equations here:
Distance:
Calculate the distances for the height and the base of this triangle formed from the segment AC (the hypotenuse of the right triangle)
a (base) = |x2 - x1| ... where A (x1,y1) and C (x2,y2)
b (height) = |y2 - y1| ... where A (x1,y1) and C (x2,y2)
Note: Absolute value is used here since distance is always positive
Pythagorean Theorem:
Once we know the distance of the base and the height, we'll be able to calculate the segment (aka the hypotenuse of this formed triangle)
c2 = a2 + b2
After we calculate the distances for a and b, we can then solve for c, giving us the length of segment AC. Great! We're halfway there - next is to figure out how far point B is from points A and C, using the distance along the segment AC.
Recall the third piece of information we were given: the relative distance of point T along segment AC. How can we represent this information in an equation using the distance of segment AC?
The ratio to which point T splits the segment AC is given as 3:1 - this means that one part is 3 times as long as the other part. The natural question to ask here is "3 times as long as what?" This 'what' piece is what we want to find out - lets call it x.
Another important observation to make is that this ratio is describing two parts of a whole segment - so if we think of this is two pieces of a whole, we can think of it as '3 times something' and '1 times something' is equivalent to the entire segment.
So, using this terminology with x, lets rewrite what we said in words into an equation:
3x + 1x = c (Length of AC)
Solving for x, we see that x = [tex]\frac{C}{4}[/tex]
Now that we have the distance from point D to point T, and from Point T to point F, we can take up the final step of determining the location of T.
Lets imagine the entire segment ABC as the hypotenuse of a triangle again. This time we want to imagine (feel free to draw this yourself as well) a like straight down from T, perpendicular to the base of this right triangle.
What we have now is a small right triangle (with segment DT as the hypotenuse) within a larger right triangle (with segment DF as the hypotenuse). What this means is that we have two proportional triangles.
With this information, we can create a proportion statement that says:
(AT) Hypotenuse small Triangle / Height smallTriangle ~ (AC) Hypotenuse large Triangle / (b) Height large Triangle
Recall that we had solved for b in the beginning as the y distance between points D and F. This means the only variable missing is Height small Triangle, which results to be:
Height small Triangle = (AT) Hypotenuse small Triangle × (b) Height large Triangle / (DF) Hypotenuse large Triangle
Adding Height small Triangle to the y coordinate of point F gives us point T's y coordinate.
Now that we have the hypotenuse length and the height length of the small triangle formed by AT (as the hypotenuse) we can plug in those numbers into the Pythagorean theorem to since for there final missing side: the base:
Base small Triangle 2 = (AT) Hypotenuse small Triangle 2 Height small Triangle 2
Finally, we add Base small Triangle to the x coordinate of point B gives us point T's x coordinate.
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Determine the x-intercepts of the following equation.
(x-2) (-x-4)= y
Based on the equation given, the x-intercepts can be found to be (2, 0) and (-4. 0)
What are the x-intercepts?The x-intercept of a line refers to the point where y is equal to 0.
To solve for these points, let y be equal to 0 and then solve for x.
(x - 2) (-x - 4) = y
(x - 2) (-x - 4) = 0
This can be written as:
x - 2 = 0
x = 2
-x - 4 = 0
x = -4
So, the x-intercepts would be:
= (2, 0) and (-4. 0)
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What do you notice about the location of the plate boundaries and the location of the earthquakes?
The majority of earthquakes happen at the points where the plates converge. Earthquake sites and the kind of ruptures they cause to aid in the identification of plate borders by geologists. Spreading zones, transform faults, and subduction zones are the three different kinds of plate boundaries.
How does the location of earthquakes relate to the location of plate margins?
Along fault lines, which are crevices in the Earth's crust where tectonic plates collide, earthquakes happen. They happen when plates are clashing, spreading, subducting, or slipping. Pressure rises as the plates become trapped as they grind against one another. Finally, the plates become loose due to the intense pressure between them.
What is the relationship between plate boundaries and earthquake size?
Earthquakes at divergent plate borders typically have modest and shallow tremors. Small yet violent earthquakes occur at plate borders. Deep and violent earthquakes occur near convergent plate boundaries, where two continental plates clash.
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Floods are one of the most common hazards in the United States. You should prepare for floods by (select all that apply):
Floods are one of the most common hazards in the United States. You should prepare for floods by:
Having important documents like passports.Having and storing Non-perishable foodHaving a Battery-operated radio and torchHaving a fist aid kit at handWhat is flood?This is the term that is used to refer to the type of natural disasters that includes the overflowing of water from its source. Floods could be due to the fact that there is heavy rainfall in an area, or it could be due to the fact that natural water bodies are overflowing.
This could be very dangerous and lead to the loss of lives and properties. During this period, a lot of people are trapped in their homes till an emergency rescue team comes to their aid. Other times they may have the issues of drowning.
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How does stable air differ from unstable air? What weather conditions would lead you to believe that air is unstable?
Stable air differ from Unstable air and the weather conditions would lead you to believe that air is unstable
When compared to unstable air, stable air is more resistant to upward motion. When stable air is made to rise, it often forms thin clouds that only sometimes provide light to moderate precipitation. On the other hand, when unstable air rises, clouds are frequently towering and heavy precipitation is possible.
When the air in a mass of air is warmer and/or more humid than the air above it, the air is said to be unstable in the lowest levels of the mass. The air will rise as a result because the air parcel is warmer than the air around it at that time. The weather can shift abruptly and become violent in an unstable setting.
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Assuming 10-percent trophic efficiency, the other 90 percent of the energy associated with a given trophic level is?
Assuming 10-percent trophic efficiency, the other 90 percent of the energy associated with a given trophic level is transferred to higher tropic levels.
The tendency is that only 10% of energy moves from one nutrient level to the next and 90% is lost as heat moves up the food chain. There is less and less energy for each nutrient level, going up the pyramid. The amount of energy corresponds to the amount of biomass. Nutritional efficiency is the efficiency by which mass (or energy) is transferred from one trophic level to the next through predation.
Personal efficiency is the efficiency with which a typical individual turns consumption into somatic growth. The Ten Percent Rule states that each nutrient level can only contribute 10% of the energy to the next. The remaining 90% is used to live, grow, reproduce and lose to the environment as heat. All energy pyramids begin with energy from the Sun being transferred to the first nutritional level of the producers.
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4.6. 4.6.5 Why is it preferable for a country to have a stronger tertiary sector than a primary sector? (1 x 2) (2) (2 x 2) (4)
it is preferable for a country to have a stronger tertiary sector than a primary sector because, Since the majority of India's GDP and GDP per capita originate from the tertiary sector, businesses providing services like banks, universities, and hospitals are in high demand. This is further explained below.
What are the tertiary sector and primary sector?Generally, Since the bulk of India's GDP and GDP per capita come from the tertiary sector, firms offering services like banks, colleges, and hospitals are in high demand. This is one reason why it is desirable for a nation to have a stronger tertiary sector than a primary sector.
In conclusion, Because the majority of India's GDP and GDP per capita originate from the tertiary sector, businesses that provide services like banks, universities, and hospitals are in high demand. This is one of the reasons why it is preferable for a country to have a stronger tertiary sector than a primary sector.
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Imagine that you are caught in a rip current in the ocean. The best thing for you to do so that you won't drown is to?
If you do get caught in a rip current, the best thing you can do is stay calm. It's not going to pull you underwater, it's just going to pull you away from shore. call and wave for help. You want to float, and you don't want to swim back to shore against the rip current because it will just tire you out.
The best way to stay safe or should not drown is to always swim near a lifeguard, or in areas designated safe for swimming by lifeguards.
A rip current is like a giant water treadmill that you can't turn off, so it does no good to try to swim against it. "Even small rips can flow faster than a person can swim. People should not try to swim against the rip."
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Why has it been difficult to create international agreements to address climate change?
it has been difficult to create international agreements to address climate change because Addressing climate change is costly.
Climate change threatens people with food and water shortages, increased flooding, extreme heat, increased disease, and economic losses. Migrations and conflicts can occur. The World Health Organization (WHO) calls climate change the biggest threat to global health in the 21st century.
Climate change refers to long-term changes in temperature and weather patterns. These changes may be natural, for example, due to changes in the solar cycle. However, since the 19th century, human activity has been a major contributor to climate change, primarily through the burning of fossil fuels such as coal, oil, and gas. More frequent and intense droughts, storms, heat waves, rising sea levels, melting glaciers, and warming oceans can directly harm animals, destroy their habitats and wreak havoc on human lives and communities. There is a possibility.
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Currents cause warmer and cooler temperatures in the areas where they are located. please select the best answer from the choices provided t f
True. The currents, turning are they warm or cold, are a very big factor in defining the temperatures of the seaside regions where they have big influence. If the currents are warmer, it also suggests that they are wet as well, so they are creating the temperatures on the coastlines much more durable, higher, and there's much smaller divergence between the day and night temperatures.
Why are currents warm or cold?Differences in moisture density, resulting from the variability of water temperature (thermo) and saltiness (haline), also cause ocean currents. This method is known as thermohaline circulation. ln cold regions, such as the North Atlantic Ocean, ocean water fails heat to the ambiance and becomes cold and dense.
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Which term describes a sphere that has the same surface area as the earth's spheroid?
authalic sphere describes a sphere that has the same surface area as the earth's spheroid.
Cartographers use a value for the spherical circumference of the Earth called the authalic sphere. A real (meaning "area-preserving") sphere is a sphere with the same surface area as the oblate ellipsoid used.
Spheres are fundamental objects in many areas of mathematics. Spherical and near-spherical shapes also occur in nature and industry. Bubbles, like soap bubbles, are spherical in equilibrium. The Earth is often approximated as a sphere in geography, and the celestial sphere is an important concept in astronomy. Manufactured objects such as pressure vessels and most curved mirrors and lenses are based on spheres. Most balls used in sports and toys are spherical, as are their bearings because the ball rolls smoothly in any direction.
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The _______________, which can be seen from outer space, is 1,600 miles (2,600 km) long.
The Great Barrier Reef, which can be seen from outer space, is 1,600 miles (2,600 km) long.
How far out is the Great Barrier Reef from land?
The reef is situated between 15 and 150 kilometers offshore, depending on the land points, and is a massive and lovely 2,300 kilometer long creation made up of groups of 2900 reefs, 900 islands, and numerous sand cays.
Is the Great Barrier Reef a wonder of the world?
The largest coral reef system and greatest living structure on the earth, it is one of the seven natural wonders of the world and a treasured World Heritage Site. It spreads across a staggering 344,400 square kilometers, a region so big that it can be seen from orbit.
What is the coral reef system?
Corals that build reefs define the underwater ecosystem known as a coral reef. Reefs are constructed by coral polyp colonies that are connected by calcium carbonate. Most coral reefs are composed of stony corals, whose polyps cluster.
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The city of chicago has a latitude (42°n) within which part of the global circulation? group of answer choices
The city of Chicago has a latitude (42°n) within westerlies part of the global circulation.
The westerlies, also known as anti-trades or prevailing westerlies, are the dominant winds in the middle latitudes between 30 and 60 degrees latitude that blow from the west toward the east. Extratropical cyclones are generally guided in this general direction by these systems, which begin from the high-pressure regions in the horse latitudes and trend towards the poles.
The warm, equatorial winds and waters are transported by the westerlies to the western coasts of continents, particularly in the southern hemisphere due to its huge marine area.
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(6.01 MC)
The main reason for the Coriolis effect is which of the following?
A. The large convection cells deflect air as the Earth rotates
B. Land heats up and cools down more quickly than water
C. The equator travels faster than the poles as the Earth rotates on its axis
D. Dense air masses low in the Earth's atmosphere increase in size
**It's not A, I already tried it**
(6.01 MC)
If the Earth did not rotate on its axis, what would atmospheric circulation look like?
A. One giant convection cell with air rising at the equator and sinking at the poles
B. The same as it does now, with three convection cells in each hemisphere
C. Air moving east to west but around the globe but not moving north to south
D. Air moving in a latitudinal but not a longitudinal direction
**D isn't correct**
PLEASE ANSWER ASAP!!!
The main reason for the Coriolis effect is option(c) i.e, The equator travels faster than the poles as the Earth rotates on its axis. If the Earth did not rotate on its axis,option(a). One giant convection cell with air rising at the equator and sinking at the poles.
An imaginary or inertial force known as the Coriolis force affects moving objects in a frame of reference that rotates in relation to an inertial frame. The force applies to the left of the object's motion in a reference frame with clockwise rotation.
Air would simply flow directly from high-pressure areas to low-pressure regions if the Coriolis effect didn't exist.
Almost all sciences that study the motions of the Earth and other planets need to understand the Coriolis effect. The dynamics of the atmosphere, including the movements of winds and storms, depend on it. It aids in explaining the motions of oceanic currents in oceanography.
The Coriolis force is perpendicular to the horizontal of the object. The Coriolis force acts north-south as the Earth rotates on its axis from west to east. The Coriolis force is zero at the Equator.
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Inorganic limestone forms when chemical changes increase the ___________ _____________ content of water until it precipitates.
Inorganic limestone get to form when substance changes increases the calcium carbonate content of water until it accelerates.
This cycle happens through a progression of responses that include the disintegration of calcium and carbonate particles in water, trailed by the immersion of the water with these particles. As the convergence of calcium carbonate increments, it arrives where the particles can never again remain in arrangement, prompting the development of strong limestone.
This cycle is regularly found in conditions like caverns, where calcium-rich water dribbles and abandons limestone stores, or in marine conditions where calcium carbonate amasses to shape coral reefs and other limestone structures.
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A ____ is a very large column of superheated mantle that originates at the boundary of the core and mantle.
your answer is plume
hope this helps
After being warmed by incoming solar radiation throughout the day, the earth emits _____ radiation, which is trapped near the earth’s surface by carbon dioxide
All of the different dog breeds we see today were developed through ___________. a. transgenics b. they always existed c. natural selection d. artificial selection
Answer:
D
Explanation:
D. Artificial selection. Think of French bulldogs as an example. They didn't exist from the start of time. Their ancestors were bred selectively to produce the desirable outcome.
3. Suggest reasons for the location of this settlement Settlements start in particular places for different reasons such as fertile soil, water availability minerals, job opportunities, transport routes and trade 4. Discuss decline and for growth of population of the settlement and suggest reasons. You will need to research this point You may observe a large number of empty buildings in your settlement. This suggests the settlement is growing A large number of empty buildings would suggest the settlement is declining Suggests reasons why population may be growing or declining $ identify and discuss one social or environmental issue Social issues are sitions, unemployment, lack of schools and out the environment, such as pollution Ginics Environment destruction and destruction mmunity members, drawings, a sketch map and any other appropriate strative material PROJECT TIPS to Dom
Job opportunities, transport pathways and trade is Air pollution can damage crops and trees in a mixture of ways. Ground-level ozone can lead to decreases in agricultural crop and commercial forest yields, reduced growth and survivability of tree seedlings, and improved plant susceptibility to disease, pests and other environmental pressures (such as harsh weather).
Who are responsible for the destruction of our environment?
Humans impact the physical environment in many ways: overpopulation, corruption, burning fossil fuels, and deforestation. Changes like these have started climate change, soil erosion, poor air quality, and undrinkable water.
What pollution causes destruction?
Land pollution is the collapse of land as a result of human's activities and the abuse of land resources. This occurs when humans involve chemicals such as pesticides and herbicides to the soil, dispose of manure improperly, and irresponsibly exploit minerals via mining.
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Because lenses act like a prism to separate the colors of the spectrum, they produce a troublesome effect known as ________.
Because lenses act like a prism to separate the colours of the spectrum, they produce a troublesome effect known as Chromatic abberation.
Chromatic aberration (CA), also known as chromatic distortion and spherochromatism in optics, is when a lens fails to bring all colours into focus at the same location. It results from dispersion because the lens elements' refractive indices change depending on the light's wavelength.
Most transparent materials lose refractive index as wavelength increases. Because a lens's refractive index determines its focal length, variations in that index have an impact on focusing. Chromatic aberration appears as colour "fringes" along the lines dividing the dark and light areas of the image.
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On 20 february 1943, a new volcano named _________blank, a scoria cone, was born when an eruption rose up through a farm field near a village in mexico
Answer:
Parícutin
hope this helps
What is the age of the oldest sediments recovered by deep-ocean drilling? how do the ages of these sediments compare to the ages of the oldest continental rocks?
The age of the oldest sediments recovered by deep-ocean drilling is 180 million years old in the ocean 4 billion years old on the continent.
What are sediments?Sediment is a naturally occurring substance that is broken down by weathering and erosion processes and then moved by the force of gravity acting on the particles or by the action of wind, water, or ice.For instance, sand and silt may be conveyed in river water in suspension and deposited on the sea floor by sedimentation; if buried, they may eventually undergo lithification to create sandstone and siltstone, respectively. Although wind, glaciers, and water are the most common means of movement for sediments.Deposition are exemplified by beach sands and river channel deposits, but sediment also frequently settles out of still or slowly flowing water in lakes and seas. Aeolian transport and deposition are demonstrated by desert sand dunes.
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Why does relative humididy not give an accurate indication of the actual amount of water vapor in the air?
Relative humidity does not give an accurate indication of the actual amount of water vapor in the air because it is temperature dependent and it is inversely proportional to air temperature.
Relative humidity is the amount of water vapor in the air compared to the maximum amount possible at the current temperature. Relative humidity also measures water vapor, but relative to the temperature of the air. In other words, it is a measure of the actual amount of water vapor in the air compared to the total amount of vapor that can exist in the air at its current temperature.
Relative humidity compares the moisture content to the theoretical saturation moisture content at the measured temperature and pressure of the air, whereas specific humidity refers to the actual measured moisture content of the air.
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What was the most desired commodity in long-distance trade?
a. silk
b. spices
c. ivory
d. gold
Silk was the most desired commodity in long-distance trade
What is Silk?Silk is a natural protein fabric that may be woven into textiles in some forms. Silk is a protein fiber consisting primarily of fibroin that is produced by certain insect larvae to construct cocoons. The most well-known silk is made from the cocoons of captive-reared mulberry silkworm larvae Bombyx mori.
Silk manufacturing began in China during the Neolithic period (Yangshao culture, 4th millennium BC). Silk remained restricted to China until the Silk Road was established sometime around the second millennium BC. For another thousand years, China maintained a virtual monopoly on silk production.
Silk fabric was invented in Ancient China and has since played an important role in their culture and economy.
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A beach with a lot of sand most times of the year with just a little bit of variance would be indicative of:____.
Sedimentary rock on ____ will enable planetary geologists to one day unravel its history.
Sedimentary rock by Definition Mars enables planetary geologists to one day unravel its history.
Sedimentary rocks can tell us about the past environment of the Earth's surface. Because of this, they are the main narrators of past climate, life, and major events on the surface of the Earth. Each type of environment has specific processes that cause specific types of sediment to accumulate there.
Sedimentary rocks are perhaps the most comprehensive in Earth's history, as they record the features of remote mountain ranges, sediment-carrying river systems, and ultimate environmental features where sediments accumulated and solidified.
Clastic sedimentary rocks are composed of pre-existing rock masses (lumps). Rock fragments are loosened by weathering and carried into basins or depressions where sediment is trapped.
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Which is a possible result of higher air temperatures caused by climate change? decrease in strength of hurricanes freezing of polar ice caps rapid evaporation of water in the soil increase in human population numbers
The correct response will be Option B i.e Increase in
Strength of Hurricanes
As the air continues to warm due to climate change, hurricanes can hold more water vapor, producing more intense rainfall rates in a storm. Moreover, according to Knutson, most models show that climate change brings a slight increase in hurricane wind intensity.Why are hurricanes increasing in strength?Physics suggests that as the world warms, hurricanes and other tropical cyclones should get stronger, because warmer water provides more of the energy that fuels these storms. And climate simulations have long showed an increase in stronger hurricanes as warming continuesTo learn more about strength of hurricanes, click the links.
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Correct Question - Which is a possible result of rising ocean temperatures caused by global warming?
A) formation of dust bowls
B) increase in strength of hurricanes
C) rapid evaporation of water in soil
D) decrease in population due to health threats
Answer:
C
Explanation:
The orinoco river flows through ________ and venezuela on its way to the atlantic.
The Orinoco river flows through Colombia and Venezuela on its way to the Atlantic.
The Orinoco River (Río Orinoco in Spanish) is a large South American river that flows in an enormous arc of about 1,700 miles (2,740 km) from its headwaters in the Guiana Highlands to its mouth in the Atlantic Ocean. Most of the course runs through Venezuela, with the exception of a portion of the Venezuelan-Colombian border. The name Orinoco comes from the word 'warao', which means a place where boats are rowed'. H. Navigable place.
The Orinoco River and its tributaries form the northernmost of her four major river systems in South America. Bounded by the Andes Mountains to the west and north, the Guiana Highlands to the east, and the Amazon Divide to the south, the river basin covers an area of about 366,000 square miles (948,000 km²). It occupies about four-fifths of Venezuela and one-fourth of Colombia.
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A food worker puts on a clean pair of gloves before cleaning and sanitizing his knife and
N
cutting board. He then chops ingredients for a salad.
What food hazard is most likely to contaminate the salad?
Answer:
the knifes is contaminated already
Cleaning chemicals on the food workers gloves are food hazard is most likely to contaminate the salad. Thus, the option (d) is correct.
What is food?
The term “food” refers to an edible and consumable material that provides the body with nutrition and vitamins to maintain itself. Plants, humans, animals, and birds all typically eat food. fruits, vegetables, legumes, dairy, and other nutrient-dense foods. The body need the food in order to function, thus it was consumed.
Cleaning agents on the gloves of the food service staff have contaminated the salad. Gloves are worn by a food worker to safeguard their hands against allergies or irritants. Given that the salad contains dangerous substances, the knife and cutting board have been cleaned with sanitizer. That is the cause of the salad's contamination.
Therefore, option (d) is correct.
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Your question is incomplete, but most probably the full question was:
A. Clostridium botulinum
B. Pathogens on the knife blade
C. Plastic from the food workers glove
D. Cleaning chemicals on the food workers gloves
Earth’s surface absorbs a significant amount of solar energy from the sun. by what process does this absorbed energy heat the atmosphere?
Earth’s surface absorbs a significant amount of solar energy from the sun. By the process of radiation, this absorbed energy heats the atmosphere.
Water vapor, carbon dioxide, and other trace gases in the atmosphere absorb long-wave radiation that the Earth's surface emits after absorbing solar energy. Some of the energy is then released by these gases back onto the planet.
Solar energy is sunlight that has been transformed into thermal or electrical energy. The United States contains among of the world's most prolific and cleanest solar resource bases. Solar energy is the most abundant and clean renewable energy source currently available.
Solar energy is a cheap, abundant, and renewable source of power. It may be used to make energy, heat water, and cook meals. Solar cells can also be used to store the electrical energy produced by solar energy.
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What measurements are necessary to define a current? (mark all that apply. ) multiple select question. water salinity water speed wind speed wind direction water direction
Water direction, Water speed. measurements are necessary to define a current
Flow is defined as the movement of water in a particular direction. An example of flow is when a river moves towards a waterfall. Fluid motion in liquids, gases, plasmas, or other forms of matter, especially motion following recognizable paths.
The current situation was that which existed at the time the CNFA conducted an investigation and as determined by the Office of the County Registrar of Sussex County or Newcastle Kent at the time the Conditional No Further Action Notice was recorded. means land use.
Amps, symbol A is the SI unit of current. It is defined by a fixed number of 1.602 176 634 x 10-19 for the elementary charge e, expressed in units C. It is equal to A s and the second is defined by ΔνCs.
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