Using π = 3. 142, calculate the total surface area of a sphere with a radius of 6cm, correct to 3 significant figures

Answers

Answer 1

The total surface area of the sphere with a radius of 6cm, correct to 3 significant figures, is approximately 452 cm^2.

The formula for the surface area of a sphere is:

A = 4πr^2

where A is the surface area and r is the radius.

Substituting π = 3.142 and r = 6cm, we get:

A = 4 x 3.142 x 6^2

= 452.39 cm^2

Rounding to 3 significant figures gives:

A ≈ 452 cm^2

Therefore, the total surface area of the sphere with a radius of 6cm, correct to 3 significant figures, is approximately 452 cm^2.

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Related Questions

I’ll be great if you guys can explain these questions I’ll give brainliest

Ill be great if you guys can explain these questions Ill give brainliest

Answers

Answer:

both yes

Step-by-step explanation:

from my understanding an order pair means the x values from all must never match so

Answer:

no is not pairs function

Pls look at the picture and help me answer it pls

Pls look at the picture and help me answer it pls

Answers

Answer:

5 times 2

Step-by-step explanation:

Answer:

10 divided by 2

Step-by-step explanation:

There is ten circles and there's two sets of them. Each set has 5 circles meaning all you're doing is 10 divided by 2.

a political scientist surveys 24 of the current 135 representatives in a state's legislature. what is the size of the sample: what is the size of the population:

Answers

The size of the sample is 24 and the size of the population is 135.

Sample size is a group of subjects that are selected from the large population and is considered as representative of the real population for that specific research.

In population genetics and population ecology, population size (usually denoted N) is the number of individual organisms in a population

In this particular case, a political scientist surveys 24 of the current 135 representatives in a state's legislature.

The sample is the group of individuals selected from the population,

in this case, the 24 representatives surveyed by the political scientist.

The population is the entire group of individuals that the sample is drawn from, in this case,

the 135 representatives in the state's legislature.

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Is C + 11 = 20; c =9 a solution or not a solution

Answers

It’s a solution !! :6)

choose an american adult at random. the probability that you choose a woman is 0.52. the probability that the person you choose has never been married is 0.25. the probability that you choose a woman who has never been married is 0.11. the probability that person you choose is either a woman or has never been married (or both) is therefore about a. 0.77 b. 0.66 c. 0.44 d. 0.38

Answers

Using probability of union set,

the probability that person you choose is either a woman or has never been married is 0.66..

We have given that

If X be random variable that an American adult selected.

Assume that

A : selected adult is a women

B : selected adult has never married

Probability that you choose a woman, P(A) = 0.52

Probability that the person you choose has never been married , P(B) = 0.25

Probability that you choose a woman who has never been married , P(AB) = 0.11

we have to calculate probability that person you choose is either a woman or has never been married, P(AB)

Using the formula,

P(AB ) = P(A) + P(B) - P(AB)

pluging all known values in above formula we get

=> P(A∪B ) = 0.52 + 0.25 - 0.11

=> P(A∪B) = 0.77 - 0.11 = 0.66

Hence, the required probability is 0.66..

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1. According to the podcast, why and how is chicken the reason American trucks dominate the truck market in the United States? Briefly explain. 2. Name two reasons a party (e.g., a politician or an industry association) may want to impose a tariff? 3. Who are they usually trying to protect? Who would be hurt by a tariff on automobiles? Explain. 4. Describe how competition encourages innovation? In your answer to this question, include a discussion on why American trucks "basically stayed the same over the years. 5. Describe ways foreign companies tried to get around American-imposed tariffs on automobiles. 6. Do you think the methods you described in your previous answer are efficient for an economy? Why or why not? 7. Lastly, how can a tariff be used as a bargaining chip? In your opinion, is that a good reason to impose tariffs - why or why not?

Answers

1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.

2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.

3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.

4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.

5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.

6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.

7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.

1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.

This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.

To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.

However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.

This led to the development of the modern pickup truck, which is now a staple of the American automobile market.

2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.

Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.

3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.

However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.

4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.

In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.

However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.

5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.

6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.

However, they may be necessary for individual companies to remain competitive in the short term.

Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.

7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.

While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.

In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.

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The weekend Jerome earned 252. 50 in all. What was the dollar amount of the meals that Jerome served? Jerome served worth meals

Answers

The total amount of meals in dollars served by Jerome is equals to $1150.

Total amount Jerome earned this weekend = $252.50.

Jerome earned every weekend = $80.

Jerome earned cost of meals as tips by serving them = 15%

Let us consider the dollar amount of the meals that Jerome served 'x'.

Jerome earned a total of $252.50 for the weekend,

which consists of his earnings from the meals and his flat rate earnings.

Set up an equation to represent this,

x × 0.15 + 80 = 252.50

Simplifying this equation by subtracting 80 from both sides, we get,

⇒ 0.15x = 172.50

⇒ x = 1150

Therefore, the dollar amount of the meals that Jerome served was $1150.

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The above question is incomplete, the complete question is:

The weekend Jerome earned 252. 50 in all. What was the dollar amount of the meals that Jerome served? Jerome served worth meals this weekend. Jerome earns 15%percent off all the costs of meal on all meals and he earns 80 dollars every weekend

PLS HELP!!! WILL MARK BRAINLIEST
Solve for x and/or y:

PLS HELP!!! WILL MARK BRAINLIEST Solve for x and/or y:

Answers

Answer:

C) x=35

Step-by-step explanation:

First, we know that the total amount of degrees in a rotation is 360. As the picture tells us, the opposite angles will be exactly the same. Taking this information, we can have the following equation:

4x + 2(3x+5) = 360

By now using our linear equation skills, we get:

10x+10=360

10x=350

x=35

The degree amount of x for c) is 35 degrees.

C. Since the angles form a linear pair, their sum equals 180.

So, 2x + 3x + 5 = 180

x=35

D. Since the angles are verticle, they equal each other.

So, 3x + 5 = 5x -57

x=31

a committee of three is chosen from a group of 13 people. how many different committees are possible if the following conditions apply?

Answers

There are total 246 ways to select a committee of 3 from a gorup of 13.

What is Combination?

A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations.

Solution:

Given that,

Total Number of Applicants = 13

Total Seats Available for the Committee = 3

Since, the order of selection is not relevant in the given question we will use combination.

13C3 = 13! / (10! * 3!)

13C3 = 13*12*11*10!/(10! * 6)

13C3 = 286

This means there are total 246 ways to select a committee from a gorup of 13.

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What is the formula for test statistic Z?

Answers

The formula for the test statistic Z depends on the specific hypothesis test being conducted. However,  the test statistic Z can be computed as:

Z = (x - μ) / (σ / √n)

The formula for the test statistic Z is:

Z = (x - μ) / (σ / √n)

where:

x is the sample mean

μ is the population mean (under the null hypothesis)

σ is the population standard deviation (under the null hypothesis)

n is the sample size

This formula is used for a z-test, which is a statistical test that assumes that the population is normally distributed and uses the standard normal distribution to calculate the p-value.

In some cases, the population standard deviation is unknown, and so the sample standard deviation (s) is used as an estimate. In these cases, the formula for the test statistic Z is:

Z = (x - μ) / (s / √n)

where s is the sample standard deviation.

It's important to note that the formula for the test statistic Z can vary depending on the specific hypothesis test being conducted.

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find the slope of (4,-1)(-2,-1)​

Answers

Answer: The slope is 0

Step-by-step explanation:

find the slope of (4,-1)(-2,-1)

Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea. How many cups can holly fill?

Answers

Answer:

2 Cups

Step-by-step explanation:

Converting both fractions to have the same denominator, she has 6/10 of a quart, and each cup holds 3/10. Since she only has 6, 6/3 is 2.

The number of cups she can fill will be 2.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea.

The number of cups will be calculated as follows:-

Number = ( 3 / 5 ) ÷ ( 3 / 10 )

Number = ( 3 / 5 ) ÷ ( 10 / 3 )

Number = 10 / 5 ) = 2

Therefore, the number of cups she can fill will be 2.

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What is the value of s after the following statement:
String s = (!true) + " : " + (10 + 4) + " is 104";
a. "!true : 104 is 104"
b. "false : 104 is 104"
c. "!true : 14 is 104"
d. "false : 14 is 104"
e. This is a compile-time error

Answers

Based on this evaluation, the correct answer is:

d. "false : 14 is 104"

The value of 's' after the given statement can be determined by evaluating each part of the expression step by step:

1. Evaluate (!true): Since 'true' is negated using the '!' operator, this expression becomes 'false'.

2. Concatenate " : " to "false": The resulting string also becomes "false : ".

3. Calculate (10 + 4): This arithmetic expression is equals to  14.

4. Concatenate "14" to "false : ": The resulting string becomes equal to "false : 14".

5. Finally, concatenate " is 104" to "false : 14": The final value of 's' becomes "false : 14 is 104".

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What is the slope of (-8,5) and (3,-6)

Answers

Answer:

\(y2 - y1 \div x2 - x1 = - 6 - 5 \div 3 + 8 = - 1\)

Answer:

-1

Step-by-step explanation:

\(slope \: of \: the \: line has \: the \: formular \\ \frac{y2 - y1}{x2 - x2} \\ from \: the question, \: \: x1 = - 8 \: \: y1 = 5 \: \: \\ x2 = 3 \: \: y2 = - 6 \\ slope = \frac{ - 6 - 5}{3 - - 8} \\ slope = \frac{ - 11}{11} \\ sope = - 1\)

Learning curves are important for:
a. helping new PMs understand the required math.
b. visualization of curved mechanical parts.
c. estimating performance improvement as workers become experienced.
d. estimating cost improvement as parts become "broken in".

Answers

The correct answer is c. Learning curves are important for estimating performance improvement as workers become experienced.

Learning curves are often used in project management to estimating the time, effort, and resources required to complete a task or project. They help to estimate how long it will take for a worker or team to become proficient at a task or process, based on the amount of time and effort that they have put into it.

This can be helpful in estimating performance improvement as workers become more experienced and efficient in their work. The concept of a learning curve is a curved line that represents the rate of improvement over time, which is why the term "curve" is relevant. While learning curves do involve some math, they are not primarily focused on helping new PMs understand required math, nor are they used for visualization of curved mechanical parts or estimating cost improvement as parts become "broken in."
Learning curves are important for:
c. estimating performance improvement as workers become experienced.
Learning curves represent the progress made in a skill or job over time, whereas a curve illustrates the relationship between experience and efficiency. As workers become more experienced, their performance typically improves, which can be estimated using a learning curve in various industries and tasks.

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is 7 feet is greater than 20.4 yards?

Answers

Answer:

NO

7 feet is not greater that 20.4 yards

Explanation:

1 yard is equivalent to 3 feet

so

20.4 yards is equivalent to 3*20.4 = 61.2 feet

Comparing these, we see that 20.4 yards is greater that 7 feet

Therefore, it is not true that 7 feet is greater than 20.4 yards.

Cindy tutors for $20 per hour and gets a $5 tip.

Part A

Which of the following functions represent this situation, if E is Cindy’s total earnings and h is the number of hours she works?

a
E(h) = 20h + 5
b
E(h) = 5h + 20
c
E(h) = 25h
d
E(h) = 20h

Answers

Answer:

I think it is b hopes this helps.

Solve by either substitution or elimination.
2x + 2y = 6 x + y = 4

Answers

Answer:

No solution

Step-by-step explanation:

If you were to do elimination, both the x and the y would cancel out and get 0=1, which is not true. And if you were to do it as substitution, then it would still get an answer that doesn't make sense.

Solve the system of equations. − 5 � + 2 � = 9 � = 7 � ​ −5x+2y=9 y=7x ​

Answers

To solve the system of equations:

Equation 1: -5x + 2y = 9
Equation 2: y = 7x

We can substitute the value of y from Equation 2 into Equation 1 to eliminate y and solve for x:

-5x + 2(7x) = 9
-5x + 14x = 9
9x = 9
x = 1

Now that we have the value of x, we can substitute it back into Equation 2 to find y:

y = 7(1)
y = 7

Therefore, the solution to the system of equations is x = 1 and y = 7.

2 plus 2 is equal to

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Pls help it's due soon pls dont waste my points i have so less :(

Pls help it's due soon pls dont waste my points i have so less :(

Answers

Answer:

Cheetah ran for 3 hours.

Antelope ran for 5 hours.

Lion ran for 6 hours.

Elephant ran for 10 hours.

The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 21 fl oz per hour. How fast was the pipe leaking in gallons per day​?

Answers

Answer:

3.9375 gallons per day or 4 gallons if you want to round up

Answer:

3.9375

Explanation:

21 x 24 = 504

504 fl oz = 3.9375 gallons

PLEASE HELP!!!

The side lengths and areas of some regular polygons are shown in the table below which expressions can be used to find the area in square units of a similar polygon with a side length of N units?

PLEASE HELP!!! The side lengths and areas of some regular polygons are shown in the table below which

Answers

n^2

all the numbers on the right are squares of the numbers on the left

squares means the number times the same number

Answer:

Number 2, \(n^{2}\)

Step-by-step explanation:

The table shows at the top of the screen has a very specific pattern, when comparing side length and area.

When the side length is 4 the area is 16

When the side length is 5 the area is 25

What is happening?

They are being squared(Multipled by itself).

See here:

4*4 = 16

5*5 = 25

Understand how the table is working?

The table is a side to area comparision of a polygon.

The question asks to find the area of a similar polygon, if a side length is n.

Because we are squaring the side length, the answer is:

\(n^{2}\)

A food truck did a daily survey of customers to find their food preferences. the data is partially entered in the frequency table. complete the table to analyze the data and answer the questions:


likes hamburgers does not like hamburgers total
likes burritos 29 41 70
does not like burritos. 81 54 135
total 110 95 205


aka- 29 people like hamburgers and burritos, 41 people like burritos but not hamburgers, 70 people like burritos overall. 81 people like hamburgers but not burritos, and 54 people don't like hamburgers or burritos. 135 people don't like burritos. 110 people like hamburgers. 95 people do not like hamburgers. there are 205 people total.



question: what is the marginal relative frequency of all customers that like hamburgers?

Answers

Marginal relative frequency of customers liking hamburgers is 53.66%, calculated by dividing 110 customers by 205, resulting in a value of 0.5366.

To find the marginal relative frequency of all customers that like hamburgers, we need to divide the number of customers who like hamburgers by the total number of customers.

According to the given data, there are 110 people who like hamburgers out of a total of 205 people.

Marginal relative frequency of customers who like hamburgers = (Number of customers who like hamburgers) / (Total number of customers)
= 110 / 205

To calculate the exact value, we divide 110 by 205:
Marginal relative frequency of customers who like hamburgers = 0.5366

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 0.5366 or 53.66%.

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What binomial would you multiply by itself to get a²+2a+1?

Answers

Answer:

(a+1) x (a+1) = a² + 2a +1

Step-by-step explanation:

Rob purchased picnic food for $33.20 to share with three of his friends.
They plan to split the cost evenly between the four friends. How much
does each person need to pay Rob?
a. $8.05
b. $8.30
c. $7.26
d. $11.07

Answers

the answer is B.$8.30

How many lines of symmetry does a hexagon have that will reflect it onto itself?

Answers

A regular hexagon has six lines of symmetry to map onto itself using reflections.

The number of lines of symmetry a hexagon have that will reflect it onto itself is 6.

The given shape is hexagon.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

A hexagon has six lines of symmetry. Each line of symmetry is a line that divides the hexagon into two equal halves that are reflections of one another. When all six lines of symmetry are present, the hexagon can be reflected over itself.

Therefore, the number of lines of symmetry a hexagon have that will reflect it onto itself is 6.

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The tallest water slide is 49 meters tall. Phineas and Ferb want to build a slide that is 5 meters taller. They build the slide in sections that are each 6 meters tall.
Match each equation to what it means in this context.

The tallest water slide is 49 meters tall. Phineas and Ferb want to build a slide that is 5 meters taller.

Answers

Answer:

a = 49 - the height of the tallest water slide

b = 49 + 5 - the height, in meters, of the slide Phineas and Ferb want to build

c = (49 + 5) / 6 - number of sections needed to meet their goal

hope this helps! <3

Ray has tea. He has 2.671 liters of tea he pours 0.47 liters in a glass. how many liters did he pour? Solve.

Answers

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

What does the term "mathematical operations" mean?

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

What are the five operations in mathematics?

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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Help find the volume and write in terms of Pi

Help find the volume and write in terms of Pi

Answers

Answer:

The volume of the cylinder is 3584π cubic yards.

Explanation:

The given figure is a cylinder. The volume of a cylinder, V is calculated using the formula below:

\(V=\pi r^2h\)

From the diagram:

• The radius of the cylinder, r = a = 8 yd.

,

• The height of the cylinder, h = b = 56 yd.

Substitute these values into the formula above:

\(\begin{gathered} V=\pi\times8^2\times56 \\ =3584\pi\:cubic\;yards \end{gathered}\)

The volume of the cylinder is 3584π cubic yards.

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