background information about area of study with poor service delivery: explain where in Polokwane the study area is located​

Answers

Answer 1

The study area with poor service delivery is located in the city of Polokwane and Polokwane city  is located in  Limpopo Province of South Africa

The city is the capital of the province and is one of the largest urban areas in the region.

Polokwane has a diverse population, with a mix of different ethnicities and cultures.

Specifically, it is situated in one of the low-income suburbs in the southern part of the city.

This area is characterized by informal settlements, high unemployment rates, and inadequate service delivery.

In recent years, the area has experienced significant population growth due to migration from rural areas and other parts of the country.

This has put pressure on the existing infrastructure, leading to a range of service delivery challenges.

Residents in the area struggle with issues such as poor sanitation, inadequate housing, limited access to healthcare, and unreliable public transport.

The local government has implemented various initiatives aimed at improving service delivery in the area, such as the construction of new housing developments, upgrading of road networks, and provision of basic services such as water and electricity. However, these efforts have been inadequate to meet the needs of the growing population, and much more needs to be done to address the service delivery challenges in the area.

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Related Questions

Look at the description of the Sherburne. How was the distance to/ from the shore of the sea changing in the area as the Sherburne was being deposited?
Why are there no fossil ferns or primitive pine trees





Answer from your tutor:

Answers

The Sherburne formation is starting to become sandier the closer you get to the top because the shore is starting to transition to sandstone.

How did the distance to/from the shore change as Sherburne was deposited?

The Sherburne formation refers to sequence of sedimentary rocks that was deposited in the Late Cretaceous period in what is now Montana and Wyoming which is thought to have been deposited in a shallow marine environment with the shoreline fluctuating over time.

As the Sherburne was being deposited, the distance to/from the shore of the sea was changing in the area. At the bottom of the formation, the sediment is composed of finer-grained rocks  such as shale and mudstone which indicate a more offshore environment.

But as you move up the formation, the sediment becomes coarser with the sandstone and conglomerate becoming more prevalent which suggests that the shoreline was moving closer and the area was becoming shallower.

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. Please calculate the confidence interval based on the conditions below

Answers

With 90% confidence, we can say that the true population mean is between 11.448 miles and 12.552 miles.

How to explain the confidence interval

Confidence interval = sample mean ± margin of error

The margin of error is determined by the sample size, the standard deviation, and the level of confidence.

Standard error = population standard deviation / √sample size

Standard error = 3 / √80 ≈ 0.3354

Confidence interval = sample mean ± margin of error

Confidence interval = 12 ± 0.552

Confidence interval = (11.448, 12.552)

Therefore, with 90% confidence, we can say that the true population mean is between 11.448 miles and 12.552 miles.

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what is the biggest country in the world ​

Answers

Answer:

The largest country in the world is Russia with a total area of 17,098,242 Km² (6,601,665 mi²) and a land area of 16,376,870 Km² (6,323,142 mi²), equivalent to 11% of the total world's landmass of 148,940,000 Km² (57,510,000 square miles)

Wind power is expected to provide Germany with____ percent of its electricity needs

A 10
B 25
C 40
D 75

Answers

Answer: B. 25

According to a report by the Fraunhofer Institute for Solar Energy Systems, wind power provided around 25 percent of Germany's electricity needs in 2020. It is worth noting that Germany has set a target of increasing the share of renewable energy in its electricity mix to 65 percent by 2030, and wind power is expected to play a significant role in achieving this goal.

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is The loss of natural habitat for animals and insects cost or benefit

Answers

The loss of natural habitat for animals and insects is cost because it is like a danger to the  ecosystem .

What is the effect of habitat loss?

Habitat loss,   can be described as the removal of plants  as well as the trees  that helps in the process of the stabilizatio of the soil,  which bring about the increase in the erosion, as well as fading away the nutrient levels in terrestrial ecosystems.

It should be noted that this can bring about the decrease agricultural productivity. and can bring about the biodiversity  as well as negatively impact the ecosystem

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aph 3: What precautions can be implemented/ or has been implemented to reduce the impact of the tropical cyclone. Refer to: The local residents​

Answers

Answer:

Preferably fit shutters, or at least metal screens, to all glass areas. Clear your property of loose material that could blow about and possibly cause injury or damage during extreme winds. In case of a storm surge/tide warning, or other flooding, know your nearest safe high ground and the safest access route to it.

Explanation:

catchment area buffalo river ​

Answers

The Thukela Water Management Area, whose water source is in the Drakensberg region, includes the Buffalo River (BR) catchment as a sub-catchment.

The current study's case study catchment was the Buffalo River in the Eastern Cape of South Africa. This river has few tributaries, a maximum order of 4 (Strahler, 1957), and is rather short (125 km from headwaters to sea). Although it rains throughout the year, the majority of it falls in the summer and there is a sharp gradient in rainfall between the upper (1500-2000 mm) and middle (500- 625 mm) reaches. The river has four impoundments: Maden and Rooikrans dams in the top catchment, the larger Laing Dam and Bridle Drift Dam in the middle and lower catchments, and Maden and Rooikrans dams in the lower catchment.

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How do plants most affect global temperature?
A


Plants capture carbon dioxide and store carbon from the atmosphere, keeping global temperatures stable.

B


Plants release carbon dioxide into the atmosphere through respiration, causing temperatures to decrease.

C


Plants that are consumed remove carbon dioxide from the atmosphere, keeping global temperatures stable.

D


Plants decompose and release carbon dioxide into the atmosphere, causing global temperatures to increase.

Answers

The correct statement is:

A. Plants capture carbon dioxide and store carbon from the atmosphere, keeping global temperatures stable.

Plants play a vital role in regulating global temperatures through the process of photosynthesis, which involves capturing carbon dioxide from the atmosphere and converting it into organic compounds. Through this process, plants store carbon in their leaves, stems, and roots, helping to reduce the concentration of carbon dioxide in the atmosphere. Additionally, plants release oxygen into the atmosphere, which is essential for the survival of many living organisms, including humans. While the decomposition of plants can release carbon dioxide into the atmosphere, the overall impact of plants on global temperatures is largely beneficial due to their ability to capture and store carbon.

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Introduction


The different types of droughts are met

Answers

Dry seasons are delayed times of unusually dry weather patterns that outcome in a lack of water, prompting unfriendly effects on harvests, vegetation, and water supplies for human and creature utilization.

The different types of droughts are -

Drought meteorological: This sort of dry spell happens when there is a delayed time of less than ideal precipitation.Drought in agriculture: Crops suffer harm when there is not enough moisture in the soil to sustain plant development.Drought hydrologically: This sort of dry spell happens when there is a drawn-out time of sub-optimal water supply in streams, waterways, and repositories.Economic and social dearth: When water scarcity has an impact on the economy or society, such as job losses, decreased agricultural productivity, and food insecurity, this type of drought occurs.Femine drought: This sort of dry spell happens when there is an extreme deficiency of food because of a mix of variables, including dry season, crop disappointment, and political shakiness.

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✓ Question Completion Status:
QUESTION 1
Which of the following is not a factor that has encouraged globalization?

Answers

Answer:

Explanation:

Isolationism

The option that is not a factor that encouraged globalization is B. Increased business costs.

What led to globalization ?

Globalization is the process of increased interconnectedness and interdependence among people, businesses, and countries around the world. Technological advances have been a major factor in facilitating globalization by making communication, transportation, and information exchange easier and faster.

The quest for global markets associated with capitalism has also been a driving force behind globalization, as companies seek to expand their customer base and increase profits.

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The full question is:

Which of the following is not a factor that has encouraged globalization? A) Technological advances B) Increased business costs C) The quest for global markets associated with capitalism D) An increase in the flows of financial capital

Mass movement are dangers to people and communities. Outline different kind of mass movement and impacts on people and the environment. Suggest measures that can be used to minimise or prevent mass movements. [for 100 marks]

Answers

Mass movements are very dangerous to people and communities, as they can result in loss of lives, damage to infrastructures, and significant long term changes to the landscape.

To outline some of the different kinds of mass movement, we have;

Landslides: It refers to the sudden movement of masses of soil or rock, down the slope, being triggered by several factors including heavy rain, earth quake, etc. They can prove to cause heavy damage to road, building, infrastructures, injuries or loss of life.Earthflow: It refers to the slow-moving, mass movement of soil and rock. They can get triggered by heavy rain, soil saturation, or human activities. Similar to landslide, they can cause similar damages.Creep: It is a slow, gradual movement of soil or rock downhill. Triggered by freeze-thaw cycle, soil expansion, and contraction, etc., they can cause severe damage to infrastructures over-time.

Some of the measures, that can be used to minimize or prevent mass movement include;

Land-use planning can be used to prevent the development of mass movement in prone areas.Use of some early warning system can warn people about possible risks, and give some time for people to evacuate safely.Vegetation management should be done to achieve stability of slopes and lands.

Thus, by these preventive measure, the possible risks of mass movements can be minimized.

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Step1: Formulate the hypothesis/problem ● ● statement. The hypothesis/problem statement has been provided. NB For this research, learners have been provided with a formulated hypothesis/ a geographical problem statement. In this case learners will be assessed on their general presentation of the research paper (layout of the paper) and cover page.​

Answers

A theory/question report is a clear and short affidavit that recognizes the research question, question, or issue to be examined in a paper stating beliefs or projects.

What is the importance?

It sets the bedrock for the complete paper stating beliefs and serves as a guide for the analyst to conduct the study. The theory/question declaration usually involves various key components to a degree the research question or question expected tried, the people or sample under inquiry, the methods or approach expected secondhand, and the anticipated effect or results of the study.

In terrestrial research, the hypothesis/question charge concedes the possibility devote effort to something issues had a connection with geographical patterns, human-surroundings interplays, or the impact of open or human-fashioned experiences on distinguishing domains or landscapes.

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Geography/ Research A 3 Grade 12 1. TOPIC 1 Tropical Cyclone Freddy has led to significant rainfall in Mozambique in recent days, with river levels expected to continue to rise. "Conduct a research on the impact of Tropical cyclone Freddy in Mozambique with reference to the social, economic and environment. TAMG 3 NW/April 2023 (1​

Answers

Tropical Cyclone Freddy made landfall in Mozambique on April 18, 2023. The cyclone caused critical harm and disturbance to the nation, influencing the social, financial, and natural viewpoints of Mozambique.

The social, economic and environment impact of Tropical cyclone Freddy in Mozambique -

Social impact:

The cyclone caused far-reaching uprooting of individuals, with thousands of individuals being constrained to empty their homes and look for shields in departure centres.Communication infrastructure was harmed, clearing out numerous individuals without getting to fundamental administrations such as power and water.Schools and other open buildings were harmed or crushed, disturbing the instruction framework and other open administrations.The cyclone too caused a few fatalities and injuries, driving to the misfortune of life and physical hurt to people.

Economic Affect:

The cyclone caused critical harm to the infrastructure, including streets, bridges, and buildings, disturbing financial exercises and causing money-related misfortunes.Agricultural land was overflowed, driving harm to crops and the misfortune of animals, which may cause nourishment deficiencies and financial misfortunes in the long term. The tourism industry, which may be a critical supporter of Mozambique's economy, is likely to be influenced by the violent wind and the harm it has caused.

Environmental Affect:

The violent wind caused broad harm to forests and other characteristic territories, driving to a misfortune of biodiversity and harm to the biological system. The flooding caused by the cyclone might lead to contamination of water sources and soil disintegration, which seem cause long-term natural harm.    

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Answer:

help me please

Explanation:

i want to write

Which is not a vector

Answers

Answer:

which one

Explanation:

The photograph best supports which details from into the unknown

Answers

The photograph best supports the detail from Into the Unknown by Stewart Ross: "David Livingstone was the first Westerner to see Victoria Falls, which he named after Queen Victoria." (Option B)

Who is David Livingstone?

David Livingstone FRGS FRS was a Scottish physician, Congregationalist, and pioneer Christian missionary with the London Missionary Society, an African explorer, and one of the most popular British heroes of the late Victorian era.

David Livingstone was the first European to witness the Victoria Falls (on the border of current Zambia and Zimbabwe) in 1855, and he named them after Queen Victoria. During the same journey, he became the first European to span the width of Africa. His insights and efforts had a significant impact on Western ideas regarding Africa.

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Full Question:



The photograph best supports which detail from Into the Unknown by Stewart Ross?

David Livingstone made the first recorded east-west journey across Africa.

David Livingstone was the first Westerner to see Victoria Falls, which he named after Queen Victoria.

The Zambezi River turned out to be shallower than David Livingstone had anticipated.

The crew faced many challenges such as extreme heat, malaria, and cockroaches.

is perpendicular to and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of is
. The point
lies on .

Answers

Answer:

Explanation:

To find the x-intercept of the line passing through point C(5,12) and perpendicular to the line passing through points A(-10,-3) and B(7,14), we first need to find the equation of the line passing through points A and B.

The slope of the line passing through points A and B is:

m = (14 - (-3)) / (7 - (-10))

m = 17 / 17

m = 1

So, the equation of the line passing through points A and B can be written as:

y - (-3) = 1(x - (-10))

y + 3 = x + 10

y = x + 7

The line perpendicular to this line will have a slope of -1 (negative reciprocal of 1).

So, the equation of the line passing through point C(5,12) and perpendicular to the line passing through points A and B can be written as:

y - 12 = -1(x - 5)

y - 12 = -x + 5

y = -x + 17

To find the x-intercept, we can set y = 0 in this equation and solve for x:

0 = -x + 17

x = 17

Therefore, the x-intercept of the line passing through point C(5,12) and perpendicular to the line passing through points A(-10,-3) and B(7,14) is x = 17.

To find the point on which the x-intercept lies, we can substitute x = 17 into the equation of the line passing through points A and B:

y = x + 7

y = 17 + 7

y = 24

So, the point on which the x-intercept lies is (17,24).

Scientists discover a sample of sedimentary rock on the seafloor that contains an oxide layer. How does a sample of this rock provide evidence of how photosynthetic organisms have affected other Earth systems?
A


Photosynthetic organisms gradually weathered the rock into sediments over time.

B


Photosynthetic organisms in the water reacted with the rock, changing its composition.

C


Oxygen from photosynthetic organisms reacted with elements in ocean water, ending up in seafloor sediments.

D


Carbon dioxide from photosynthetic organisms reacted with elements in ocean water, ending up in seafloor sediments.

Answers

The way evidence will be provided is C. Oxygen from photosynthetic organisms reacted with elements in ocean water, ending up in seafloor sediments.

What is the oxide layer ?

The sedimentary rock likely houses an oxidative layer, created from iron-oxide arising from the amalgamation of oxygen and minerals high in iron.

This serves as a reminder of photosynthesis – how life forms using this process administrated the rise of oxygen levels not only in atmospheres, but further exhibited within oceanic bodies as well. Truly, this advancements constituted a remarkable effect on living creatures evolving within Earth.

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describe the impact of rural depopulation on the economy of rural areas​

Answers

Answer:

Loss of wealth and loss of production of food and crops.

Explanation:

outline the negative impact of drought on the farmers of South Africa ​

Answers

Answer: attach an image to help

Explanation:

is Pollution from new industries a cost or benefit

Answers

Answer: cost

Explanation: they have to clean it up, ( probably dont do it ) and one day it will build up and cover parts of water so bad we cant even see it.

what are the consequences of global warming with reference to africa?

Answers

Answer:

Temperature increase, heat waves, extensive floods, tropical cyclones, prolonged droughts, and sea level rise resulting in loss of lives, property damage, and population displacement, undermine Africa's ability to achieve its commitments to meet the targets of the United Nations Sustainable Development Goals

what is the impact of coriolis force and latent heat on the development of tropical cyclones​

Answers

Latent heat and the Coriolis force have a profound impact on how tropical cyclones develop. The earth's rotation results in the Coriolis force, which shifts wind patterns in the northern and southern hemispheres respectively to the right and to the left.

When it comes to tropical cyclones, this force aids in the cyclone's rotation, causing it to spin either clockwise or anticlockwise depending on where it is located.

The energy released when water vapour condenses into liquid droplets is known as latent heat, on the other hand. In this process, warm, moist air rises to the surface and cools, forming clouds and precipitation.

The energy that drives tropical cyclones, which gives them the energy they need to intensify and evolve, is largely derived from the latent heat generated during this process.

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Refer to FIGURE 2.2 based on inclined strata. The landform below A B Identify slopes B and C respectively.​

Answers

A landform is a natural feature or formation of the Earth's surface, such as a mountain, valley, plain, plateau, or hill.

What are landforms?

Landforms are created by various geological processes, including erosion, weathering, volcanic activity, and tectonic activity.

They can vary in size and shape, from tiny hills to massive mountain ranges and vast plains. Landforms play a crucial role in shaping the Earth's ecosystems, climate, and weather patterns, and they are also important for human activities such as agriculture, transportation, and settlement.

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what is the smallest country in the world ​

Answers

The smallest country in the world is Vatican City, with a landmass of just 0.49 square kilometers (0.19 square miles). Vatican City is an independent state surrounded by Rome

relate exports of raw material from farming and fishery to global economy

Answers

Answer:

The exports of raw materials from farming and fishery play a significant role in the global economy. These exports are important for both developing and developed countries as they generate revenue and create employment opportunities.

In many developing countries, agriculture and fishing are the primary sources of livelihood for a large portion of the population. These countries rely heavily on exporting raw materials such as coffee, cocoa, cotton, rubber, palm oil, and seafood to earn foreign exchange and support their economy. For example, countries in Africa, Asia, and Latin America rely heavily on agricultural exports to generate revenue and create employment opportunities.

On the other hand, developed countries import these raw materials from developing countries to produce value-added products, which they then export to other countries. For example, the United States imports a significant amount of coffee, cocoa, and seafood from developing countries and then processes them to produce value-added products such as chocolate, canned tuna, and coffee beans.

Therefore, the exports of raw materials from farming and fishery are an essential part of the global economy, providing income and employment opportunities to millions of people around the world. These exports not only benefit developing countries but also contribute to the growth of developed economies by providing the necessary raw materials to produce value-added products that can be exported to other countries.

Explanation:

why can category 1 of tropical cyclones be more destructive than category 3​

Answers

Answer: Rain and flooding

Explanation: The category has to do with wind speed of the circling winds - not how fast it is traveling. If a Cat 1 goes slowly and dumps a lot of rain on a large populated area, flooding can do more damage than high winds.

How did the Incan government unite its empire across the Andes mountains?

Answers

The Incan government unite its empire across the Andes mountains by  control their empire through subordination and cooperation they divided and conquered the people living there .

How did the Inca government make up the empire?

The Incas were able to carried out the unification of their empire by spreading their language, as well as the compulsory military service for conquered peoples.

It shoudl be noted that wit this they were able to control the empire and they make sure that those they conquer were able dance to their own tune and via a vast and sophisticated network of roads.

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what is the types of tourist attraction sites in ethiopia?​

Answers

The most famous tourist attractions of Ethiopia on the historical circuit are: the circular Ethiopian Orthodox Churches on islands in Lake Tana, the Blue Nile Falls, the castles of Gondar, the Stellea of Axum, the rock hewn churches of Tigray, the ancient temple of Yeha, and the rock hewn churches in Lalibela.

Discussion on different types of droughts?​

Answers

Answer: Meteorological drought happens when dry weather patterns dominate an area. Hydrological drought occurs when low water supply becomes evident, especially in streams, reservoirs, and groundwater levels, usually after many months of meteorological drought. Agricultural drought happens when crops become affected.

Explanation: Meteorological Drought. When dry weather patterns dominate an area.

Hydrological Drought. When low water supply becomes evident in the water system.

Agricultural Drought. When crops become affected by drought.

Answer:

What is a Drought?

Drought is a prolonged dry period in the natural climate cycle that can occur anywhere in the world. It is a slow-onset disaster characterized by the lack of precipitation, resulting in a water shortage. Drought can have a serious impact on health, agriculture, economies, energy and the environment.

What are the types of droughts?

Meteorological Drought. When dry weather patterns dominate an area

Hydrological Drought. When low water supply becomes evident in the water system

Agricultural Drought. When crops become affected by drought

Socioeconomic Drought

Ecological Drought

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Help me write a research proposal Title: "Freshwater fish pond in a school" (include sources and citations)​

Answers

Answer:

Introduction:

Freshwater fish ponds are an effective way to introduce aquaculture to schools. Schools can use the pond for teaching biology, ecology, and other sciences, while providing a source of fresh fish for the school cafeteria or local community. This research proposal aims to investigate the feasibility of establishing a freshwater fish pond in a school setting, and to assess the educational and nutritional benefits of such a project.

Literature Review:

Fish ponds have been successfully used in schools in various countries as an educational tool, and to provide a source of nutritious food for students and staff. Studies have shown that fish ponds in schools can improve students' attitudes towards science and the environment, and increase their interest in aquaculture (Wu et al., 2017). Moreover, incorporating fish ponds into the school curriculum has been found to increase students' awareness of the importance of freshwater resources and their conservation (Griffiths et al., 2016).

Research Questions:

Is it feasible to establish a freshwater fish pond in a school setting?

What are the educational benefits of having a fish pond in a school?

What are the nutritional benefits of having a fish pond in a school?

Methodology:

This research proposal will use a mixed-methods approach to investigate the research questions. The feasibility of establishing a fish pond in a school setting will be assessed through site visits, interviews with school officials, and cost analysis. The educational and nutritional benefits will be assessed through surveys and focus groups with students and staff.

Data Analysis:

The data collected will be analyzed using both qualitative and quantitative methods. The feasibility data will be analyzed using cost-benefit analysis, while the educational and nutritional benefits data will be analyzed using content analysis and statistical analysis.

Expected Outcomes:

The expected outcomes of this research proposal include a feasibility report, a list of educational and nutritional benefits of a freshwater fish pond in a school setting, and recommendations for schools interested in implementing a similar project.

Conclusion:

The establishment of a freshwater fish pond in a school setting can provide numerous educational and nutritional benefits. This research proposal aims to investigate the feasibility of such a project, and to provide evidence of its benefits for schools interested in implementing a similar initiative.

Explanation:

Other Questions
Study the system of equations below.x + y =-4x - y = 10 What is the solution to the system ofequations?A (-4, 10)B (10, 4)C(3,-7)D(7,-3) chapter 13: applying excel data exhibit 13-7 santa maria wool cooperative cost of wool $200,000 cost of separation process $40,000 sales value of intermediate products at split-off point: undyed coarse wool $120,000 undyed fine wool $150,000 undyed superfine wool $60,000 costs of further processing (dyeing) intermediate products: undyed coarse wool $50,000 undyed fine wool $60,000 undyed superfine wool $10,000 sales value of end products: dyed coarse wool $160,000 dyed fine wool $240,000 dyed superfine wool $90,000 enter a formula into each of the cells marked with a ? below example: joint product costs and the contribution approach analysis of the profitability of the overall operation: combined final sales value ? less costs of producing the end products: cost of wool ? cost of separation process ? combined costs of dyeing ? ? profit ? analysis of sell or process further: coarse fine superfine wool wool wool final sales value after further processing ? ? ? less sales value at the split-off point ? ? ? incremental revenue from further processing ? ? ? less cost of further processing (dyeing) ? ? ? financial advantage (disadvantage) of further processing ? ? ? ethical leaders develop a vision to lead their organization. bill gates had a vision of putting a computer on every desk in every home running great software. such determination requires which of the following?a.a fragmented view of the firm's ethical cultureb.a strong personalityc.reactive decision makingd.a passion to do what is right for themselves Which of the following results in excess nitrogen in the oceans? How does A Jury of Her Peers and Letter from Birmingham Jail relate? Oxygen helps your body produce more i need to know the full quadratic equation answer what is the highest temperature allowed for cold holding fresh salsa? Chord eg measures 8 inches and the distance from the center of j to the chord is 3 inches Help on problem 2 and 3!(I already did 1. Stepby step please ASAP!) Based on the data table, find the acceleration and then predict the velocity at the time 3. 5 seconds. A)The acceleration is 5 m/s/s and the velocity at a time of 3. 5 seconds will be35 m/s. B)The acceleration is 10 m/s/s and the velocity at a time of 3. 5 seconds willbe 35 m/s. The acceleration is 10 m/s/s and the velocity at a time of 3. 5 seconds willbe 70 m/sThe acceleration is 5 m/5/5 and the velocity at a time of 3. 5 seconds will be17. 5 m/s Which sentence uses homophones correctly?A.) Uranus rotates 90 degrees from its plane of orbit, sew it appears to spin on its side.B.) Uranus rotates 90 degrees from its plane of orbit, so it appears to spin on its side.C.) Uranus rotates 90 degrees from its plane of orbit, sow it appears to spin on its side.D.) Uranus rotates 90 degrees from it's plane of orbit, sew it appears to spin on it's side. The whole page Tysm plsssssss step by step btw Can you find the domain and range and type the correct code? help me please. Point B is the image of point A when point A is rotated about the origin. What is known about point A and B? The reciprocal of h.C.F and lcm of two number are 1/12 and 1/312 respectively. If one of the number is 24. Find the other number? A plumber charges 14.95 to come to the house and 27.50 per hour the plumber sends a 138.70 bill A random sample of 155 observations results in 62 successes. [You may find it useful to reference the z table.]a. Construct the a 90% confidence interval for the population proportion of successes. (Round intermediate calculations to at least 4 decimal places. Round "z" value and final answers to 3 decimal places.)b. Construct the a 90% confidence interval for the population proportion of failures. (Round intermediate calculations to at least 4 decimal places. Round "z" value and final answers to 3 decimal places.) A paper bag has five colored marbles. The marbles are red, green, blue, yellow, and orange. List the sample space when choosing one marble.S = {1, 2, 3, 4, 5}S = {red, blue, green, yellow}S = {g, r, b, y, o} S = {green, blue, yellow, orange} Problem 3. Consider finite strings over the alphabet = {a, b, c, d}. The power operation represents string repetition, for example a 3 b 4 c denotes the string aaabbbbc. Define a contextfree grammar G generating the language L(G) = {w|(i, j, k)w = a i b (i+j+k) c jd k}, the set of words where the number of bs is the same as the number of all other letters together and the letters are ordered alphabetically. For example, the words ab, aaabbbbd, abbbcd belong to the language, words abba, aabbbbbc, abc do not belong to the language. Justify your answers