Crystalline rocks contain crystals that have been cemented together. These crystals are usually interlocking, meaning they fit together tightly. To determine if a rock is crystalline, you can look for certain characteristics.
The first characteristic of a crystalline rock is that it contains all one type of crystal. This crystal type can be identified by its shape and color. Crystals often appear in regular patterns, giving a crystalline rock a distinct, geometric look.
The second characteristic of a crystalline rock is that it is relatively hard. Crystalline rocks are usually harder than non-crystalline rocks. To test the hardness of a rock, you can use a simple scratch test. If the rock is crystalline, it will scratch metal or glass but not be scratched by them.
The third characteristic of a crystalline rock is that it does not contain any voids or gaps. Crystalline rocks are usually solid and the crystals are very tightly packed together. This creates a solid mass with no voids or gaps.
Finally, crystalline rocks often have a shiny or glassy appearance. This is due to the light reflecting off of the crystals. The shiny surface also reflects light and appears to have a glossy sheen.
To determine if a rock is crystalline, look for these characteristics. It should contain all one type of crystal, be relatively hard, have no gaps or voids, and have a glossy or shiny appearance. If these characteristics are present, the rock is likely crystalline.
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1 Which texture below best represents the igneous rock granite? Not yet answered Select one: Marked out of 5.0 O a. Glassy O b. Aphanitic Flag question O c. Phaneritic Question 2 Which texture best represents the igneous rock obsidian? Not yet answered Select one: Marked out of 5.0 O a. Phaneritic O b. Aphanitic P Flag question O c. Porphyritic O d. Glassy O e. Liquid Question 3 If quartz is present in an igneous rock, what composition must it be? Not yet answered Select one: Marked out of 5.0 O a. Ultramafic O b. Mafic Flag question O c. Intermediate O d. Felsic
Phaneritic is the texture of the igneous rock granite. Glassy is the texture best represents the igneous rock obsidian.
Plagioclase, alkali feldspar, and quartz make up the majority of the granite intrusive igneous rock. It originates from silica- and alkali-metal-rich lava that progressively cools and solidifies underground. It is prevalent in the igneous intrusions that make up the Earth's continental crust. From a few millimetres wide to batholiths exposed over hundreds of square kilometres, they are all different sizes. Granite is an example of the wider family of granitic rocks known as granitoids, which are mostly made up of feldspars and coarse-grained quartz in different amounts.
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Continuous areas of the earth's surface that are connected through spatial interaction
a) Functional Regions
b) Territory
c) Formal Regions
d) State
The earth's surface is divided into functional sections, which are connected via spatial interaction. Their relationships and economic, social, or political roles characterise them.
Which areas are functional?In geography, a functional region is a space dominated by a node, focal point, or central hub and enclosed by interconnected links. A functional region's main node is surrounded by areas with related trade, communications, or transportation-related common social, political, or economic goals.
Why is the functional region in geography significant?Geographicians value functional regions because they encompass particular spheres of human activity. Geography is more than just the physical characteristics of the land. Also, it deals with how people relate to space.
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Numeric dating is accomplished by assigning ages in years to rocks using _____ dating methods. A. Analytical B. Commonsense C. Relative.
Option c. is the correct answer. Numeric dating is accomplished by assigning ages in years to rocks using relative dating methods.
Relative dating is the process of comparing different items to determine the age of an item relative to the other items.
It does not provide an exact age for a rock, but rather allows us to determine the age of a rock relative to other rocks or events.
For example, a rock layer that is lower than another rock layer must have formed before the upper layer.
Relative dating is used to determine the age of rocks by looking at the order in which they were formed and their positions in the stratigraphic column.
It is also used to compare and contrast different objects to determine their age.
For example, if two rocks have the same relative age, they are both older than any rock found above them and younger than any rock found below them.
Relative dating is based on the assumption that certain layers of rock were deposited at a certain time in the past, and that the ages of the layers can be determined by comparing them to one another.
This method does not provide an exact age, but it can provide a general range for the age of the rock.
Additionally, relative dating can be used to infer the age of fossils found in sedimentary rocks.
Relative dating is an important tool for understanding Earth’s history, as it allows us to place events in the correct temporal order.
By understanding the ages of different rocks and fossils, scientists can determine the rate of changes in Earth’s environment over time.
This is an important tool in reconstructing past environments and determining the history of the Earth.
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Identify and give an example of 5 factors that would explain the developmental disparity between the countries North of the Brandt line and the countries South of the Brandt line
Answer:
The Brandt line is an imaginary line across the globe that divides the richer North from the poorer South based on their economic status. It was introduced in the 1970s by Willy Brandt, a former West German Chancellor, as a visual representation of the North-South divide. The line roughly passes through 30 degrees north and circles the world between the United States and Mexico, north of Africa, the Middle East, and most of East Asia and is lowered towards the south to include Japan, Australia, and New Zealand above the line.
According to the Brandt line, countries located north of the line are considered richer, developed, and industrialized, while those located south of the line are generally considered less developed, poor, and often characterized by low-income, poor infrastructure, and political or cultural marginalization. However, the Brandt line is now considered too simplistic as it doesn't reflect the changes that have occurred in the world over the last 20 years.
This question is a little out of date, however, if you wish to jump in a time machine and go back 30 or 40 years, the developmental disparity between the countries North of the Brandt line and the countries South of the Brandt line can be attributed to economic inequality and economic power, historical, political, and geographical causes, environmental factors, education and health, and political instability and conflict
Explanation:
1. Economic inequality and economic power: The North-South divide is characterized by a significant gap in economic power and income levels. The North is wealthier and more economically developed than the South. The persisting income gap between the North and South can be attributed to lower growth rates across the South and a lack of catch-up growth. Even though the rising economic power of the global South has been notable, the OECD states still retain greater aggregate economic power than China and the whole of the rest of the global South combined.
2. Historical, political, and geographical causes: Uneven development is caused by a combination of historical, political, and geographical factors. Some countries have had better access to resources, while others have been exploited. Colonialism, imperialism, and unequal trade relationships have contributed to this disparity. Additionally, some regions are more prone to natural disasters or have less fertile land.
3. Environmental factors: Environmental factors can also contribute to developmental disparities. Countries that are located in regions with harsh environments, such as deserts or areas prone to natural disasters, may be less developed. Climate change can exacerbate these disparities by making it more difficult for countries to access resources or by increasing the frequency of natural disasters.
4. Education and health: Education and health are significant indicators of development. Countries that invest in education and health tend to have higher levels of development than those that do not. Countries in the North tend to have better education and healthcare systems than those in the South, which contributes to the developmental disparity.
5. Political instability and conflict: Political instability and conflict can also contribute to developmental disparities. Countries that are experiencing conflict or political instability may struggle to attract investment or develop their economies. These factors can also lead to displacement, which can further exacerbate developmental disparities.
This thinking is about 20 years out of date. For example, countries like China and India, which were previously considered poor, have now become newly industrialized and are becoming richer.
What others factors finally made it possible for Europeans to colonize Africa?
Answer:
Advancements in technology, medicine (for Malaria), and fire power.
what is carbon dioxide and what causes it to be released into the atmosphere, contributing to global warming?
Answer:
CO2 is a greenhouse gas.
Explanation:
Right now, humans are the main cause of CO2 emissions. CO2 comes from burning fossil fuels primarily such as when we run our cars or in power plants.
Are you closer to the equator in northern Argentina or southern Spain?
a.Northern Argentina
b. Southern Spain
Southern Spain is further from the equator than northern Argentina. In this instance, Northern Argentina is closer to the equator than Spain, which is far from the equator and close to the North Pole. Option A is correct .
What makes the equator unique?The length of the equator is just under 25,000 miles. Each of our planet's five main circles of latitude is based on the relationship between the Earth's axis of rotation and its orbit around the sun. The equator is the longest of these circles because the Earth bulges at the center. The phrase circulus aequator diei et noctis, which means "circle equalizing day and night" and is derived from the Latin word aequare, which means "make equal," is where the name comes from. Due to the Earth's tilt, countries on or near the equator experience year-round high temperatures. In these nations, the temperature hovers around 31 degrees Celsius on average.
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on the 21st of december which hemisphere has no sunrise between 66.5 degrees of latitude and the pole?
It would take place in the Northern hemisphere.
In the figure, ∆ABD ≅ ∆CBD by Angle-Side-Angle (ASA). Which segments are congruent by CPCTC? hurry please A. BC=AD B.AB=CD C.CB=AB D.DB=DC
Answer:
AB = CB
As AB Corresponds to CB in the given triangles
Which life-form existed on Earth for the shortest period of time? 1. dinosaurs 2. trilobites 3. ammonoids 4. placoderm fish a 1 b 2 OO с 3 d 4
Dinosaurs existed on Earth for the shortest period of time. The correct option to choose from the given alternatives is option "a" dinosaurs.
Dinosaurs are prehistoric creatures that lived on Earth from the late Triassic period to the end of the Cretaceous period, which was approximately 230 million to 66 million years ago.
During this period, dinosaurs roamed the planet's land masses and are now considered to be one of the most successful species in Earth's history.
Unfortunately, after millions of years of existence on the planet, the era of the dinosaurs came to an end when a massive asteroid collided with Earth, causing mass extinctions of plant and animal species, including the dinosaurs.
This mass extinction event happened about 66 million years ago. The only dinosaurs that survived this catastrophic event were the ones that evolved into modern-day birds, which are the only known descendants of dinosaurs.
So, dinosaurs existed on Earth for the shortest period of time.
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the following earthquake planning scenario is for a modeled magnidue 9.3 earthquake along the cascadia subduction zone. what would be the perceived shaking in seattle?
The following earthquake planning scenario is for a modeled magnitude 9.3 earthquake along the Cascadia Subduction Zone. Perceived shaking in Seattle Very Strong" to "Severe" shaking, with a maximum Modified Mercalli Intensity (MMI) of VIII or IX.
The Cascadia Subduction Zone earthquake will have severe shaking across the Pacific Northwest. According to the Shake Map developed by the United States Geological Survey, Seattle could experience "Very Strong" to "Severe" shaking, with a maximum Modified Mercalli Intensity (MMI) of VIII or IX
.Here are some of the other potential impacts in the Seattle area:- Landslides- Ground rupture- Tsunami waves- Building damage and destruction- Bridge damage and destruction- Soil liquefaction- Widespread power outages- Long-term economic disruption- Social disruption- Transportation disruption- Health care system disruption- Water system disruption- Sewage system disruption
Cascadia Subduction Zone: The Cascadia Subduction Zone is a fault that runs from Northern California to British Columbia. It's where the Juan de Fuca plate subducts underneath the North American plate. It is considered one of the most dangerous earthquake faults in the world because of the magnitude of potential earthquakes, which can range from magnitude 8 to 9.3.
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Of the following solutions, which has the greatest buffering capacity? Explain. A) They would all have the same buffer capacity. B) 0.821 M HF and 0.217 M NaF C) 0.100 M HF and 0.217 M NaF D) 0.821 M HF and 0.909 M NaF E) 0.121 M HF and 0.667 M NaF
We know the formula β = (d[A-] / dpH) / [HA] by using this formula we can say that option B has the highest buffer.
A) 0.821 M HF and 0.217 M NaF
pH = pKa + log([A-]/[HA])
pH = 3.17 + log(0.217/0.821) = 2.54
β = 0.0025
B) 0.821 M HF and 0.909 M NaF
pH = 3.17 + log(0.909/0.821) = 3.27
β = 0.0036
C) 0.100 M HF and 0.217 M NaF
pH = 3.17 + log(0.217/0.100) = 3.67
β = 0.0022
D) 0.121 M HF and 0.667 M NaF
pH = 3.17 + log(0.667/0.121) = 4.15
β = 0.0022
thus, we can see that option B has the highest buffer capacity coefficient and also would have the highest buffering capacity.
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if a rock is buried and subjected to high heat and pressure, then uplifted, exposed, eroded away, and deposited, what rock types were involved in the sequence? group of answer choices igneous and sedimentary igneous and metamorphic metamorphic and sedimentary
The rock types that were involved in the given sequence of events are igneous, sedimentary and metamorphic.
What is rock?A rock is a natural occurring substance composed of minerals. It is a hard, naturally occurring substance consisting of one or more minerals that have been consolidated into a solid form.
Igneous rocks: Igneous rocks are formed from the cooling and solidification of molten lava or magma.
Extrusive rocks: These rocks are formed from the solidification of lava, which flows onto the surface of the earth.
Intrusive rocks: These rocks are formed when magma cools beneath the surface of the earth.
Sedimentary rocks: Sedimentary rocks are formed from the accumulation and cementation of small rock fragments, mineral grains, and other organic materials.
Metamorphic rocks: Metamorphic rocks are formed from the transformation of existing rocks under conditions of high pressure, high temperature, or both.
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what is type of rock that forms from an existing rock that is changed by heat, pressure, or chemical reactions?
The type of rock that forms from an existing rock that is changed by heat, pressure, or chemical reactions is called metamorphic rock. Metamorphic rocks are formed by the transformation of pre-existing rocks through the effects of high temperature and pressure or through the effects of chemically active fluids.
Some common examples of metamorphic rocks include schist, slate, gneiss, and marble. Schist forms from shale, while slate forms from the fine-grained sedimentary rock that consists mainly of clay minerals, and gneiss forms from granite.
Metamorphic rocks are generally classified based on their texture, which is determined by the size and arrangement of their mineral grains. They can also be classified based on their mineralogy, which is determined by the types of minerals present in the rock. Metamorphic rocks can be foliated, meaning that they have a layered or banded appearance, or they can be non-foliated, meaning that they lack a layered or banded appearance.The formation of metamorphic rocks is influenced by factors such as temperature, pressure, and the presence of chemically active fluids.
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which drainage patterns only forms on massive igneous rocks
Atmospheric deposition is receiving increased attention in the scientific community, and has become the subject of a specific research area in the environmental sciences. Acid rain is detrimental to our ecosystems and can be measured in several ways. Which of the following methods would best identify changes from acid deposition in an area over time?
a. Calculating the change in sulfur dioxide emissions from coal-burning power plants over time
b. Mapping out coal-burning power plant locations over the past 50 years
c. Measuring the pH of rainwater and surface water in affected areas
d. Monitoring the long-term chemical and biological parameters of an ecosystem
Option-C:The best method for identifying changes in acid deposition over time in a region is "measuring the pH of rainwater and surface water in affected areas."
These pollutants react with atmospheric water to produce sulfuric acid and nitric acid, respectively, leading to acid rain. Acid deposition can cause harm to the natural environment and human health, which has led to an increased scientific interest in it. Acid deposition can be monitored in several ways, such as the measuring the pH of rainwater and surface water in affected areas, or monitoring the long-term chemical and biological parameters of an ecosystem.
Nonetheless, measuring the pH of rainwater and surface water in affected areas is the best method for identifying changes in acid deposition over time in a region. Atmospheric deposition refers to the transfer of air pollutants from the atmosphere to the earth's surface through both wet and dry processes. Thus the correct answer is OptionC.
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Ozone is formed in the atmosphere as a result of the combination of nitrogen oxides (NOx) and volatile organic compounds (VOCs) in the presence of sunlight. This ozone is
This ozone is a toxic gas, which can have harmful effects on human health when present in high concentrations.
Ozone is formed in the atmosphere as a result of the combination of nitrogen oxides (NOx) and volatile organic compounds (VOCs) in the presence of sunlight.
What is ozone?Ozone (O3) is a molecule that contains three oxygen atoms. It is present naturally in the atmosphere, where it is formed by ultraviolet radiation from the sun and by lightning strikes.
Ozone is also created artificially by human activities, such as burning fossil fuels, which release nitrogen oxides and other pollutants into the air.
The formation of ozone occurs in the atmosphere when nitrogen oxides and volatile organic compounds react with sunlight.
Nitrogen oxides are produced by burning fossil fuels and from other industrial activities, while volatile organic compounds come from sources such as car exhaust, paints, and solvents.
When these two types of pollutants combine in the presence of sunlight, they form ozone. This is a highly reactive gas that can cause damage to human health and the environment.
Ozone is a major component of photochemical smog, which is a type of air pollution that occurs in urban areas.
In conclusion, ozone is a toxic gas that is formed in the atmosphere as a result of the combination of nitrogen oxides and volatile organic compounds in the presence of sunlight.
It can have harmful effects on human health when present in high concentrations.
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according to the model in which that active galactic nuclei are powered by supermassive black holes, the energy released as light comes from
Answer:
b
Explanation:
why do geologists classify rocks?group of answer choicesto determine the chemical makeup of the earthrocks are the key to understanding how the earth formedbecause it makes it easier to tell them apartto determine their age
Geologists classify rocks to group them based on their characteristics and identify their origin. The answer is that ''it makes it easier to tell them apart.''
What are rocks?Rocks are a naturally occurring solid mixture of minerals or mineral-like materials that make up the Earth's crust. Rock formation can be caused by a variety of factors, including volcanic eruptions, erosion, and sedimentation, among others.
Geologists classify rocks because it makes it easier to identify them based on their unique properties. Geologists can learn a lot about Earth's past and present by studying rocks, as well as how the planet has evolved over time. By classifying rocks, geologists can make educated guesses about their origins and how they have been changed over time.
In conclusion, the answer is that ''it makes it easier to tell them apart.''
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Which is not a type of stress seen in rocks? shear stress transitional stress compressional stress tensional stress
Answer:
There is no type of stress that is not seen in rocks among the options given. All four types of stress listed are commonly observed in rocks: shear stress, transitional stress, compressional stress, and tensional stress.
Shear stress occurs when rocks are subjected to forces that cause them to slide or twist along parallel planes, resulting in shearing or tearing of the rock.
Transitional stress occurs when rocks are subjected to forces that cause them to change shape or deform without breaking or cracking, such as bending or folding.
Compressional stress occurs when rocks are subjected to forces that push them together or cause them to be squeezed or shortened, resulting in deformation or folding.
Tensional stress occurs when rocks are subjected to forces that pull them apart or stretch them, resulting in the development of cracks or fractures.
Explanation:
Answer:
Stress during the transition period. This is NOT a sort of stress found in rocks.
Transitional stress is a sort of social stress that signifies mental tension that occurs as a result of life transitions and derives from one's connections with others and from society. Geological stresses are applied to rocks.
Explanation:
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Fill in the table with the terms that best describe these landforms plains and Plateaus
Plateaus and Plains are the two landforms, Low-lying, level terrain is known as a plain. A plateau is a level area that is significantly elevated above the surrounding terrain.
Many different landforms can be produced by endogenic and exogenic forces. A landform is an element of the Earth's solid surface that occurs naturally. Mountains, plateaus, and plains are a few examples.
PlateausAn elevated area with mostly level land on top is referred to as a plateau. It has a sizable top area and a steep incline on its sides. They are also referred to as tablelands or high plains. About 18% of the earth's land surface is made up of plateaus.
PlainsThe most significant landforms on the surface of the earth are plains. The definition of a plain is simply a low-lying, comparatively flat land surface with a very gentle slope and little local relief. The plains cover roughly 55% of the earth's land area. Most of the plain have been formed by deposition of sediments brought down by rivers. Besides rivers, some plains have also been formed by the action of the wind, moving ice and other tectonic activities.
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what the meaning of Troposphere?
The troposphere, the lowest part of the atmosphere, is where all of Earth's weather occurs. The tropopause, a layer of air that divides the troposphere from the stratosphere, and the Earth's surface are what hold the troposphere together at its top and bottom, respectively.
The lowest part of Earth's atmosphere is called the troposphere. The majority of meteorological occurrences take place there, which also comprises 99% of the entire mass of water vapour and aerosols and 75% of the overall mass of the planetary atmosphere.
The troposphere is typically 18 km (11 km) above Earth's surface in the tropics, 17 km (11 mi) above it in the middle latitudes, and 6 km (3.7 mi) above it in the high latitudes of the polar regions in winter. This makes the troposphere's average height 13 km (8.1 mi; 43,000 ft).
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The early stages of the core-periphery model describe the
A) relationship between the outward appearance of a place and its internal functioning
B) ways that suburban workers commute to urban workplaces
C) relationship between the underlying structure of a society and its outward expressions
D) social and cultural differences between urban and rural people
E) relationship of power and the transfer of resources from less developed to more developed areas
The early stages of the core-periphery model describe the relationship of power and the transfer of resources from less developed to more developed areas. (option E)
The core-periphery model is a theoretical framework that describes the relationship between different regions of a country or the world. It suggests that there are core areas, which are usually urban or industrialized, and peripheral areas, which are usually rural or less developed.
The model suggests that the core areas are dominant and exploit the peripheral areas for their resources, labor, and markets. This leads to a transfer of resources and wealth from the periphery to the core, perpetuating the uneven development between these regions.
The early stages of the core-periphery model focus on the emergence of this unequal relationship between core and peripheral areas, and how it shapes the economic, political, and social dynamics within and between these regions. Therefore, the correct answer is E) relationship of power and the transfer of resources from less developed to more developed areas.
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what is the deepest inland body of water in the world?
Answer:
Caspian Sea
Explanation:
precession of the rotation axis of earth is caused by
Precession is caused by the gravitational influence of the Sun and the Moon acting on Earth's equatorial bulge. To a much lesser extent, the planets exert influence as well. The projection onto the sky of Earth's axis of rotation results in two notable points in opposite directions: the north and south celestial poles.
which of the following might have contributed to the portion of sandstone that is eroded to leave a cavity near the base of the outcrop? (select all that apply) view available hint(s)for part c which of the following might have contributed to the portion of sandstone that is eroded to leave a cavity near the base of the outcrop? (select all that apply) the sandstone at that location has been dug out by animals. the sandstone at that location contained a harder cement. the sandstone at that location contained less cement. the sandstone at that location contained more clay and less quartz.
Options 1, 2, and 4 are correct. the sandstone at that location contained harder cement. the sandstone at that location contained less cement is a false statement. Option 3 is false.
There are three possible answers to the question regarding the portion of sandstone that is eroded to leave a cavity near the base of the outcrop.
They are as follows:
1. The sandstone at that location contained a harder cement.
2. The sandstone at that location contained less cement.
3. The sandstone at that location contained more clay and less quartz.
Therefore, options 1, 2, and 4 are correct. Option 3 is false. Sandstones are sedimentary rocks composed mostly of sand-sized grains of mineral, rock, or organic material.
Sandstone is known for its durability, which is due to its chemical composition of silica and/or calcium carbonate.
The composition of sandstone varies greatly, depending on the environment and time period in which it was deposited.
In general, the rock is composed mainly of quartz sand, but in some cases, it can also contain other minerals, such as feldspar, mica, and clay minerals.
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Are there any mammals living in the Amazonka river?
Answer: If you meant *Amazon river, then answer is yes.
Explanation:
There are many mammals that live in and around the Amazon River. The Amazon River basin is home to an incredibly diverse range of mammal species, including many that are endemic to the region.
Some of the most well-known mammals that live in the Amazon River include:
Pink River Dolphin: Also known as the Boto, the Pink River Dolphin is a freshwater dolphin that lives exclusively in the Amazon River system.
Giant Otter: The Giant Otter is the largest member of the weasel family and can be found in the rivers and streams of the Amazon basin.
Capybara: The Capybara is the largest rodent in the world and is found throughout the Amazon basin.
Amazon River Manatee: Also known as the Amazonian Manatee, this large, herbivorous mammal lives in the slow-moving rivers, lakes, and flooded forests of the Amazon basin.
Jaguar: The Jaguar is the largest cat in the Americas and can be found in the Amazon rainforest.
These are just a few examples of the many mammal species that call the Amazon River home.
How does the Coriolis effect affect the Southern Hemisphere?
The result of Earth's rotation on the weather patterns and ocean currents. The Coriolis effect makes storms swirl clockwise in the southern hemisphere and counter-clockwise in the Northern hemisphere.
why do you think most tree-ring sites are located in the middle and high latitudes and not in the tropics?
Most tree-ring sites are located in the middle and high latitudes and not in the tropics because of several reasons.
They are as follows:
Climate conditions: It is known that tree rings reveal climatic information, such as the temperature and precipitation of an area. This is because trees produce annual growth rings, which indicate changes in climate from year to year. Trees in the middle and high latitudes experience extreme temperature changes between summer and winter, making it easier to read the tree-ring patterns compared to those in the tropics.
Soil conditions: The soil in the tropics is nutrient-rich, which helps trees grow faster and produce wider rings. It is more challenging to extract the climate information from wider rings, as the rings become less distinct and less sensitive to climate changes.
Agricultural activities: In tropical areas, there is often extensive farming, deforestation, and other human activities. This can destroy the old trees or make it challenging to find trees that have lived long enough to create a reliable tree-ring record. On the other hand, there is less farming and human activity in the middle and high latitudes, allowing for more trees to grow to old ages and creating a better tree-ring record.
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in 2000, a population of a city is 1,000,000 people. If it has a doubling time of 25 years, when will its population reach 2,000,000
If the city's population has a doubling time of 25 years, it means that it will take 25 years for the population to double. To calculate the annual growth rate, we can use the rule of 70, which states that to find the number of years it takes for a quantity to double, we can divide 70 by the annual growth rate.
So, to find the annual growth rate, we can use the formula: Annual growth rate = 70 / doubling time Annual growth rate [tex]= 70 / 25 = 2.8%[/tex] Now, to find when the population of the city will reach 2,000,000, we can use the formula for exponential growth:[tex]Nt = N0 x (1 + r)^t[/tex] where Nt is the future population, N0 is the initial population, r is the annual growth rate, and t is the time period.We know that [tex]N0 = 1,000,000, Nt = 2,000,000, and r = 2.8%[/tex].[tex]2,000,000 = 1,000,000 x (1 + 0.028)^t[/tex] Taking the natural logarithm of both sides, we get: [tex]ln(2) = t x ln(1.028)[/tex] Solving for t, we get: [tex]t = ln(2) / ln(1.028) = 25.7[/tex] years the city's population will reach 2,000,000 in approximately 26 years, or in the year 2026.
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