What is the percent uncertainty in the area of a circle whose radius is 1.8 × 104 cm?

Answers

Answer 1
Here the absolute uncertainty is not given, so assume the last reported digit can vary by 1. That means the absolute uncertainty is 0.1 × 10^4 cm. 

Now, when you perform math operations on the measurements, you have to adjust the absolute uncertainty of the final result. In particular: 
1. If you multiply the measurement by some number "n" (which has zero uncertainty), then you must also multiply the uncertainty by "n". 
2. If you square the measurement, then you must multiply the uncertainty by 2M (where "M" is the amount of the measurement) 
3. And lastly, if you cube the measurement, you must multiply the uncertainty by 3M²So, if the measured radius is "R" (1.8x10^4 cm); and the uncertainty is "Δ" (0.1 × 10^4 cm), then the area is: 

Area = πR² +/- π(2R)Δ 

(Notice I multiplied the Δ by π (according to Rule 1 above) and then by (2R) (according to Rule 2) above.) 

Relative uncertainty = absolute uncertainty / measured value, so: 

Relative uncertainty in area = π(2R)Δ / (πR²) 
= 2Δ/R 
= 0.2 × 10^4 cm / (1.8 times; 10^4 cm) 
(which is about 11%) 

Related Questions

What is the name of the supercluster that our galaxy group belongs to?

Answers

Cities green of Codie

Answer:

The name of the supercluster that our galaxy group belongs to is the Virgo Supercluster.  Three characteristics that I learned about our supercluster is at least 100 galaxy groups and clusters, including our Local Group, are located within the Virgo Supercluster, the diameter of this great supercluster is thought to be about 110 million light-years, and the Virgo Supercluster itself might be part of an even-larger structure.

Explanation:

Edmentum

The term "Pangaea" was first used by Alfred Wegener. He proposed the __________ theory.

A.continental shelf
B.floating continent
C.hyper continent
D.continental drift

Answers

the answer is D ..hun

The term “Pangaea” was first used by Alfred Wegener. He proposed the continental drift theory. Therefore, the option D holds true.

What is the significance of Pangaea?

Pangaea's theory was based on the facts that described the formation of the outer crusts and how they merge into the inner layers of the surface of the Earth, thereby leading to a formation of landmass. This theory was an influential contribution to geological studies.

Pangaea can be referred to or considered as a hypothesis that was used to express an evidence regarding the movement of tectonic plates. The theory of continental drift by Alfred Wegener also revolved around the hypothesis of Pangaea.

Therefore, the option D holds true and states regarding the significance of the Pangaea theory.

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Where In need Europe are the Romance languages mainly spoken

Answers

Answer:

The area that the Romance languages are spoken in Europe is mostly the extent of the Western Roman Empire. The Greek language superseded Latin in the Eastern Roman Empire. Latin survived in Romania, whose language, Romanian, is a Romance language. In Moldova it is sometimes called Moldova.

Explanation:This is the best i could do hope this helped

What are the 4 main pieces of evidence that support The Big Bang Theory

Answers

The first: The expansion of the universe. The universe is expanding now, so in the past, it must have been smaller. If it were smaller in the past, then there probably was a time when it was infinitesimally small. One could ask why don't we think that it might be expanding now but it could have been shrinking before and we just don't know about it. The answer is that there is simply no mechanism that we know about that could accomplish this transition on a universal scale.

The second line of evidence is the Cosmic Microwave Background Radiation (CMB) that was discovered in 1965 by Arno Penzias and Robert Wilson from Bell Labs. They were working with a microwave receiver but were getting noise from every direction they pointed the receiver. It was coming from all over the sky at what seemed to be exactly the same frequency. This was the first evidence for the CMB, and they later shared a Nobel Prize for this discovery.

The third major pillar of the Big Bang theory lies in the abundance of the different elements of the universe. The theory predicts that certain amounts of hydrogen, helium, and other elements should be made. Observations have shown almost exactly the amounts that are predicted.

The fourth piece is that the Big Bang theory is the only theory that comprehensively lays down a framework for the eventual evolution of the universe as we observe it today.
Final answer:

The four main pieces of evidence that support the Big Bang Theory are abundances of elements, expansion of the universe, cosmic microwave background (CMB) radiation, and formation of matter and nuclei.

Explanation:

The four main pieces of evidence that support the Big Bang Theory are:

Abundances of elements: The predicted abundances of elements in the universe, as estimated from the Wilkinson Microwave Anisotropy Probe (WMAP), align with model predictions, which provides strong evidence for the Big Bang model.Expansion of the universe: The observed present-day expansion of the universe supports the Big Bang theory. This expansion can be explained by the incredibly energetic explosion of the Big Bang, as galaxies formed within the remnants of the primordial fireball.Cosmic Microwave Background (CMB) radiation: The spectrum of CMB radiation, detected as the most perfect blackbody spectrum ever observed, is characteristic of the temperature of the Big Bang's remnant. This radiation, detected from all directions in space, is compelling evidence of the universe's creation in a gigantic explosion.Formation of matter and nuclei: The formation of protons, neutrons, electrons, and other atomic nuclei through fusion reactions in the early universe, as well as measurements of deuterium abundance in today's universe, provide evidence that the total amount of ordinary matter in the universe is around 5% of the critical density.

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What is the name for the group of photosynthetic, microscopic organisms that lives in the ocean? coccolithophores floaters plankton phytoplankton?

Answers

Salutations!

What is the name for the group of photosynthetic, microscopic organisms that lives in the ocean? 

Phytoplankton is the name for the group of photosynthetic, microscopic organisms that lives in the ocean. Similarly plants that grow on land, phytoplakton contains chlorophyll that captures sunlight to make food. Phytoplakton in Greek means "plant".

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Which is the most ethical response if an experiment fails to confirm a hypothesis?
Question 2 options:

Revise the hypothesis and develop a new experiment to test it.

Perform the experiment again until it confirms the hypothesis.

Alter the data so that they conform to what we already know.

Publish the data without any conclusions.

Answers

In this circumstance one should revise the hypothesis and develop a new experiment to test it.An example could be the theory of Agraham Gottloeb Werner that all rocks were precipitated from water including not just sedimentary rocks but also volcanic, plutonic and metamorphic rocks. The more the earth was studied, especially by James Hutton in Scotland, the more it became obvious that granites for example were deposited in a molten state, thus disproving that hypothesis or theory. 

If earth did not revolve around the sun, would there be daytime and nighttime on earth?

Answers

There would be daytime and nighttime on Earth since it would be turning on its axis. 

The Earth would stay in the same spot, but you would have day and night regularly since the Earth would still turn.

A ______ factor is one that makes people leave their homeland to seek out better living conditions.

A. Proximity
B. Positive
C. Pull
D. Push

A(n) _______ resource is one that can be easily replenished.

A. Depleted
B. Oil
C. Non-renewable
D. Renewable

Answers

the answers a push factor and renewable resource

how has local consumers been affected by imports of clothing and goods at cheap prices?

Answers

Local consumers has greatly benefited from the imports of clothing and goods at cheap prices. 
Consumers prefer to buy imported goods because they are cheaper and sometimes, they are of higher quality than the ones that are manufactured locally.
It is the local manufacturers that suffer in this situation, because less number of customers patronize them.

Cheap imports benefit consumers by providing lower prices but also lead to domestic job losses and support unsustainable consumer behaviors.

Imports of clothing and goods at cheap prices have significantly impacted local consumers in various ways. Firstly, consumers benefit from lower prices on a wide range of products, such as clothing, cell phones, and household items, allowing them to save money. However, the affordability of these imports often comes at the cost of domestic jobs; the United States has seen a substantial decline in textile and apparel jobs as cheaper foreign-made goods flood the market.Additionally, the influx of inexpensive imports has fueled a culture of fast fashion, where consumers purchase and frequently replace low-cost clothing due to changing trends, rather than due to wear and tear. This not only contributes to unsustainable manufacturing practices but also supports a labor system plagued by poor working conditions in factories overseas.

In summary, while cheap imports provide economic benefits to consumers, they also contribute to job losses in the local textile industry and promote unsustainable consumer behaviors.

How are globes and map projections related?

Answers

Globes and map projections is a systematic transformation of the latitudes and longitudes of locations. Also maps cannot be created without pap projections.

Geraldine wants to discover a mineral location. Which type of map should she use?

Answers

Geologic maps -Geologic maps can be used to identify the geologic features of a particular area. -These features can used to identify types of rocks, minerals, and groundwater. - From studying a geologic map we can locate important deposits of energy resources,such as water, oil, natural gas and minerals.

The ____ is the second longest river in Europe. It forms a border between serbia and ____ before draining into the ____ sea

Answers

Danube and Romania and Black

Answer:

Danube, and romania, black sea.

Explanation:

Danube river is the Europe second-longest river system after the Volga and is located in the central and the eastern Europe. And was a log standing frontier the roman empire. And it passes through one European country before draining into the black sea. And has a length of 2,850 km. Considered as an international waterway.

Name three us states that extend west longitude 120 degrees w

Answers

The three US states that extend west longitude 120 degrees are Oregon, Washington and California.

Oregon: it is a state in the Pacific Northwest region on the West coast of the United States. 

Washington: it is also a state in the Pacific Northwest region of the United States. The name of the State was after George Washington who was the first President of the United States.

California: it is the most populous and western state in the United States, it is the third most widespread state by area. 

Final answer:

Three US states that extend west of the 120 degrees West longitude include California, Oregon, and Washington. These states are located on the western coast of the United States, with portions of their territory extending westward of the specified longitude.

Explanation:

The question seeks to identify three United States that extend west of the 120 degrees West longitude. Based on geographical location and the concept of latitudinal and longitudinal divisions, the United States that fit this criterion primarily due to their western positioning include:

California: Much of California lies west of the 120 degrees West longitude, especially the coastal areas.Oregon: Portions of Oregon, especially in the western part of the state, extend west of the 120 degrees West longitude.Washington: Like Oregon, parts of Washington state, particularly the western regions near the Pacific Coast, are west of the 120 degrees West longitude.

These states are all located on the western coast of the United States, making them part of the geographic area that extends west of the specified longitudinal line.

What is the thin layer of the troposphere that marks the boundary between the troposphere at the stratoshpere?

Answers

Tropopause

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which of the following is the best definition of the term indigenous? a.devilish,friendish,awful b.a person who doesn’t accept a particular religion,usually christianity c.the process of introducing a virus or germ into the body to produce immunity to a disease ; vaccination d.native,or belonging naturally to a particular region

Answers

If this isn't based off of a reading or something, it should be D.

The correct answer is - d. native, or belonging naturally to a particular region.

Indigenous is a term usually used for people, flora and fauna, in the sense that they are native for the particular region and it is their homeland. Unfortunately for the them, lots of them have been heavily affected either by migration, forced introduction of non-native species, or destroyed, so they are either on the verge of existence, or are already died out.

We can use multiple examples:

- For people; the Aborigines in Australia.

- For flora; potatoes in the Andes in South America.

- For fauna; Balkan lynx in the Republic of Macedonia.

What weather conditions are most likely to produce tornadoes?

Answers

warm humid airs masses that meet cold dry air masses. good luck and welcome.

In desert areas, what process results in the formation of desert pavement?

Answers

In desert areas, a process that results in the formation of desert pavement is called deflation.

What is Desert?

A desert is a desolate region of the landscape with minimal precipitation, making living circumstances unfriendly for both plant and animal life. The absence of vegetation exposes the exposed ground surface to denudation.

Arid or semi-arid regions make up around one-third of the Earth's geographical surface. This comprises a large portion of the arctic regions, which are frequently referred to as polar deserts or "cold deserts" because they receive minimal precipitation.

The amount of precipitation that occurs, the temperature that prevails, the reasons for desertification, or the geographic location of a desert can all be used to categorize it.

Therefore large temperature differences between day and night impose stress on the rocks, causing them to fracture in fragments, which is how deserts are produced.

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What is the 1000 year period after the fall of rome called?

Answers

Salutations!

What is the 1000 year period after the fall of Rome called?

The 1000 year period after the fall of Rome is called Middle Ages. This is a period where the Odovacor, German prince had sway the power of the Roman army of Italy.

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One of the four borders of ancient egypt was the mediterranean sea. truefalse

Answers

Based on the choices provided above, it can be concluded to state it is correct that one of the four borders of the Ancient Egypt was the Mediterranean Sea. Therefore, the statement given above is TRUE.

What is the significance of the Ancient Egypt?

The Ancient Egyptian region was known for its significant architecture, dynamic and unique culture, incredible geographical characteristics, and other such factors, to name a few. It was among the most vast kingdoms during that time.

Its borders extended to being shared with two important bodies of water, which included the Red Sea situated to its eastern borders, and the Mediterranean Sea situated to its northern borders.

Therefore, the statement given above regarding the significance of the Ancient Egypt holds true.

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What is terraced farming

Answers

Terrace farming is a type of farming that consists of different "steps" or terraces that were developed in various places around the world. The Rice Terraces of the Philippine Cordilleras (hills and mountains) is a World Heritage Site. It dates back two thousand years.
it is a type farming that look like steps in hills

The image above shows a common European weather pattern. This pattern pushes warm, dry African winds called __________ toward Europe.



Answers

The image above shows a common European weather pattern. This pattern pushes warm, dry African Winds called siroccos toward Europe. 

Hope this helped!

This pattern pushes warm, dry African winds called siroccos toward Europe. These winds originate as hot, dry desert-air over Northern Africa and flow northward into the southern Mediterranean basin. The characteristics of the sirocco depend on the location where they are and accordingly this type of winds have many different names.

Which area of Canada has the most productive farmland

Answers

none canada is useless

Answer:

The interior plains

Explanation:

The interior plains receive plenty of rainfall and produce many fruits and vegetables.

What is the largest factor leading to increased urbanization?
Question 4 options:

migration

increased birth rates

increased job opportunities

strip malls

Answers

increased job opportunities

The answer is Migration

Which term best describe the Northeast in the nineteenth century?
a.cultural centerb.manufacturing regionc.natural resource centerd.agricultural region

Answers

a shortage of factory workers.

no THE ANSWER IS d.agricultural region ;))


What river flows just south of cincinnati, ohio?

Answers

The river which flows just south of Cincinnati, Ohio, is the Ohio River.
It is the largest tributary of the Mississippi River and it represents a natural border between Ohio and Kentucky. It flows through six American states , and it is 1,579 km ( = 981 miles) long.

Globalization has impacted language which language is the most used in the global business world

Answers

English is the most global one

English is the most used language in the global business world.

Which of the following has not occurred as a result of oil production and distribution around the Persian Gulf? A. Loss of plant and animal life due to pollution B. Particles in the atmosphere clearing the surrounding air C. Leakages polluting the water near ocean terminals D. Low CO2 emissions per capita

Answers

Taking a look at the choices we have, we will find that two of these choices have already occurred as a result of oil production and distribution around the Persian Gulf. These choices are:
A. Loss of plant and animal life due to pollution
C. Leakages polluting the water near ocean terminals

Based on this, we will exclude choices A and C and start considering choices B and D.
Choice D represents the opposite of choices A and C. Therefore, D is the correct choice.

Answer:
D. Low CO2 emissions per capita

Answer:

The answer is option D.

Explanation:

Investigating the decisions we have, we will locate that two of these decisions have just happened subsequently of oil generation and circulation around the Persian Gulf. These decisions are:   Loss of plant and creature life because of contamination   Spillages contaminating the water close sea terminals  In light of this, we will exclude choices An and C and begin thinking about decisions B and D.  Decision D speaks to the inverse of decisions An and C. Consequently, D is the right decision.

The _______________ is composed of all living organisms.
Question 21 options:

hypdrosphere

lithosphere

atmosphere

biosphere

Answers

Salutations!

The biosphere is composed of all living organisms. Biosphere is a region of the earth's surface where all living organisms are able to live.

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When the streak mark created by a mineral is the same color as the mineral, the streak is termed?

Answers

When the streak mark created by a mineral is the same color as the mineral, the streak is termed as a powder color streak, this is caused by the mineral becoming partly crushed during weathering, pressure and possibly erosion.

Which group has been most responsible for exposing the cultures to elements from other cultures?

Answers

Native Americans are a tribe that used to be in nc
Traders are a group who are likely most responsible for exposing the cultures to elements from other cultures. Throughout history they have gotten resources as well as crafted objects from nations that tend to heavily reflect the cultures as well as practices that are held within the area.
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