Find the surface area of the part of the circular paraboloid z=x^2+y^2 that lies inside the cylinder x^2 +y^2=25

Answers

Answer 1

Let’s begin by finding the surface area of the part of the circular paraboloid z = x² + y² inside the cylinder x² + y² = 25.To find the surface area of this paraboloid, we can use a double integral with cylindrical coordinates, in which we can represent the surface in terms of r and θ values.

The paraboloid is symmetrical about the z-axis, the limits of θ are 0 to 2π. Therefore,θ is integral from 0 to 2π. Next, we want to express z as a function of r. So, we have,z = x² + y² = r².Using the equation of cylinder, we can say x² + y² = 25,which means r = 5.So, the limits of r are 0 and 5.Therefore,r is integral from 0 to 5.We can now use the formula for the surface area of a parametrized surface. This is given by:S = ∫∫(sqrt [1 + fr2 + fθ2]) rdrdθwhere f is the parametric representation of the surface.

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Related Questions

Find the unit rate. Enter your answer as a mixed number.A fertilizer covers 3/4 square foot in 1/4 hour.
The unit rate is _________ square feet per hour.

Answers

Answer:

3 ft^2/hour

Step-by-step explanation:

We are looking for a finished unit of (square feet)/hour.

We are given (3/4) ft^2 and a time of (1/4) hour.

Divide the area by the time:  [(3/4)ft^2]/[(1/4)hour]  This produces a unit of ft^2/hour.

Bring the unit out and then simplify the ratio:

   (3/4)/(1/4)  ft^2/hour

   (3/4)*(4/1) ft^2/hour

    The 4's cancel, leaving (3/1) or 3 ft^2/hour

A student was asked to simplify the expression 2(x+3)+(4x−8)−7x .

Answers

Answer:

-x -2

Step-by-step explanation:

1- Apply the Distributive Property

2- Calculate the product or quotient

3- Determine the sign

4- Reorder and gather like terms

   Collect coefficients of like terms

   Calculate the sum or difference

Lilly bought two pieces of land. The
dimensions of the two pieces of land are 50
feet X 40 feet and 75 feet X 50 feet.
Calculate the total area of both pieces of
land.

Answers

Answer:

50*40 = 2000 sq feet

75*50 = 3750 sq feet

Step-by-step explanation:

Evaluate: 128{1/7}
a:2
b:4
c:8
d:not a real number

Answers

None of the given answers are correct, The value of  128{1/7} will be a fraction number.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given a number 128{1/7}

Simplification of this number

=> 128(1/7)

=> 18.28

therefore, the Given number is a fraction number or a real number.

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y=-x+5

Find the slope of each line

Answers

Answer: m = -1

Step-by-step explanation:

what conditions are required for the​ inference, part b​, to be​ valid? are these conditions reasonably​ satisfied?

Answers

For the inference in part b to be valid, the conditions required are reasonable satisfaction.

To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.

However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.

These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.

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What is the missing term in the factorization?
18x^2 – 32 = 2(3x+?)(3x – 4)

What is the missing term in the factorization?18x^2 32 = 2(3x+?)(3x 4)

Answers

Answer:

4.

Step-by-step explanation:

18x^2- 32

= 2(9x^2 - 16)

= 2(3x + 4)(3x - 4)

Use Euler's Method with a step size of h = 0.1 to find approximate values of the solution at t = 0.1,0.2, 0.3, 0.4, and 0.5. +2y=2-ey (0) = 1 Euler method for formula Yn=Yn-1+ hF (Xn-1-Yn-1)

Answers

Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

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1. What is the sum of 3/4 and 4/5?

Answers

3/4 + 4/5 =
15/20 + 16/20 = 31/20
= 1 and 11/20

Please please help me if you can I really need it
If you can please answer all of the questions
They should be simple if you know basic geometry
Thank you so much

Please please help me if you can I really need itIf you can please answer all of the questions They should
Please please help me if you can I really need itIf you can please answer all of the questions They should
Please please help me if you can I really need itIf you can please answer all of the questions They should
Please please help me if you can I really need itIf you can please answer all of the questions They should

Answers

Answer:

1- c:25

2-cant help

3- A:2,8

4-cant help

2 of 7 A shop has a sale of 5% off all items in stock. If the original price of a dress is £80 what would be its sale price?

Answers

Answer:

the sale price is £76

Step-by-step explanation:

The computation of the sale price is shown below:

= Original price - original price × off percentage

=  £80  - £80  × 5%

= £80   - £4

= £76

Hence, the sale price is £76

in a baseball league of 9 teams, how many games are needed to complete the schedule if each team plays 12 games with each other?

Answers

Total number of games for 9 teams so that each team will play 12 games in the baseball league will be 432

Total number of teams in the baseball league is 9

Total number of games that each team will play is 12

Since, each team will have option of 8 teams to play with since no team can play with itself

Therefore, number of games that each team will play after playing 12 games will be 8 x 12 = 96

Since there are 9 teams, therefore total number of games that two teams will play = 96 x 9 = 864

Now, as it takes two teams to play a game therefore the required number of games for the 9 teams = 864/2 = 432

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. suppose that whether or not it rains tomorrow depends on the previous weather conditions through the last three days (that is, today, yesterday, and the day before yesterday). show how this system may be analyzed by using a markov chain. how many states are needed?

Answers

There are eight possible states, and the transition probabilities can be estimated based on historical data or observations.

To analyze the given weather system using a Markov chain, we need to identify the different possible states that the system can be in.

In this case, the states would correspond to the different combinations of weather conditions over the last three days. There are eight possible states, as each day can either be rainy or not rainy, resulting in 2^3 = 8 possible combinations.

Next, we would need to determine the probability of transitioning from one state to another. For example, if it rained for the past three days, the probability of it raining again tomorrow might be high,

while if it was sunny for the past three days, the probability of rain might be low. These transition probabilities can be estimated based on historical weather data or by observing the system for a period of time.


Once we have determined the transition probabilities, we can create a transition matrix that describes the probabilities of moving from each state to every other state. This matrix can then be used to calculate the long-term probabilities of being in each state, and to make predictions about the likelihood of rain in the future.


In summary, to analyze the given weather system using a Markov chain, we need to identify the possible states based on the weather conditions over the last three days,

determine the transition probabilities between states, create a transition matrix, and use it to calculate long-term probabilities and make predictions.

In this case, there are eight possible states, and the transition probabilities can be estimated based on historical data or observations.

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Please help me solve these two problems

Please help me solve these two problems

Answers

Answer:

What contributed to the decline of the Indus Valley civilization?

Select all correct answers.

Step-by-step explanation:

1) Add 3 to both sides.

\(x+3=2y\)

2) Divide both sides by 2.

\(\frac{x+3}{2} =y\)

3) Switch sides.

\(y=\frac{x+3}{2}\)

Unit 3: parent functions & transformations homework one piece wise fuctions & greatest integer functions

Answers

For piecewise functions, identify the intervals and equations, and evaluate the function for different values of x. For greatest integer functions, use the greatest integer function to evaluate expressions or equations

To complete your homework on piecewise functions and greatest integer functions, follow these steps: Understand the concept of a piecewise function: A piecewise function is a function that is defined by different rules for different intervals or segments of its domain.

Each segment has its own equation. Identify the intervals and equations: Look at the given function and identify the intervals where the function changes. Write down the equations that define the function for each interval. Evaluate the function for different values of x: Plug in different values of x into each equation to find the corresponding y-values.

Make sure to use the appropriate equation based on the interval that x falls into. Understand the concept of a greatest integer function: The greatest integer function, denoted as f(x) = [x], returns the largest integer that is less than or equal to x. For example, [3.5] = 3 and [−2.8] = −3. Apply the greatest integer function: Use the greatest integer function to evaluate the given expression or equation. Substitute the given value of x into the equation and find the corresponding output value by taking the greatest integer less than or equal to x. It's important to understand the concepts of piecewise functions and greatest integer functions.

Piecewise functions are functions that have different rules for different intervals or segments of their domain. Each segment has its own equation. In order to work with piecewise functions, you need to identify the intervals and equations that define the function for each interval. Then, you can evaluate the function for different values of x by plugging in the appropriate equation based on the interval that x falls into.

On the other hand, the greatest integer function, denoted as f(x) = [x], returns the largest integer that is less than or equal to x. It can be used to evaluate expressions or equations by substituting the given value of x and finding the corresponding output value by taking the greatest integer less than or equal to x.

In conclusion, to complete your homework on piecewise functions and greatest integer functions, you need to understand the concepts behind them. For piecewise functions, identify the intervals and equations, and evaluate the function for different values of x. For greatest integer functions, use the greatest integer function to evaluate expressions or equations. By following these steps, you will be able to solve problems related to these topics.

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help me plsssssssssssssssssssssssssssss

help me plsssssssssssssssssssssssssssss

Answers

ahh ok so a traingle has a total of 180 degrees

So you can subtract all the given angles you have (90 degrees and 42.7 degrees) from 180.

180-42.7-90=47.3 degrees :)

onsider the set S = {(x,y):1< xº + y² <4} 1. Describe the point (12,-v2) a. A boundary point of S b. An interior point of S c. Neither of these

Answers

The given point is an interior point of S

Consider the set S = {(x, y): 1 < xº + y² < 4}.

Now, we are supposed to describe the point (12, - v2) which is a member of the set.

We are to decide whether the given point is an interior point or a boundary point or neither of these.

A point can be classified into either of the following categories:

(a) Boundary point: A point x is said to be a boundary point of the set S if every open ball centered at x contains at least one point of S and at least one point not in S.

(b) Interior point: A point x is said to be an interior point of the set S if there exists an open ball centered at x which contains only points of S.

We have, S = {(x, y): 1 < x² + y² < 4}. This is the set of points whose distance from the origin is between 1 and 2.

Hence S is the region between the circles with radius 1 and 2 centered at the origin.

Now, let us consider the point (12, - v2).

The distance of this point from the origin is given bysqrt((12)^2 + (- sqrt(2))^2)=sqrt(144 + 2) =sqrt(146).Since 1 < sqrt(146) < 2, the given point lies in the region between the circles of radii 1 and 2 centered at the origin.

Therefore, the given point is an interior point of S.

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i need help.Please answer soon
A resale store is having a sale on DVDs and CDs. DVDs cost $7 and CDs cost $4. On one day, the store made $211 from DVD and CD sales and sold a total of 40 items.

Write a system of equations, then solve to find how many DVDs and CDs were sold.

*Show both the equations and the solution.

Answers

Answer:

17 DVD 23CDs

Step-by-step explanation:

x=DVD y=CD (makes it easier for me to write this)

7x+4y=211 x+y=40

x+y=40

-x

y=40-x

7x+4(40-x)=211

7x+160-4x

3x+160=211

-160

3x=51

Divide by 3

51/3=17

17=x

17+y=40

-17

y=23

hope this helps :)

 

ore time on the Internet: A researcher polled a sample of 1012 adults in the year 2010 , asking them how many hours per week they spent on the Internet. The sample mean was 10.01 with a standard deviation of 13.90. A second sample of adults was taken in the year . For this sample, the mean was with a standard deviation of . Assume these are simple random samples from populations of adults. Can you conclude that the mean number of hours per week spent on the Internet differs between and

Answers

Sample 1: Mean=10.01, Standard deviation=13.90 Sample 2: Mean

=11.43, Standard deviation

=14.10

Sample size of 1st year = n1

= 1012Mean of 1st year sample

= X1 = 10.01Standard deviation of 1st year sample

= s1

= 13.90Sample size of 2nd year

= n2

= 1012Mean of 2nd year sample

= X2

= 11.43

Standard deviation of 2nd year sample = s2

= 14.10 Let us assume a significance level of α = 0.05, which implies that the critical region consists of 2.5% in both tails (since it is a two-tailed test).

Therefore, we do not have sufficient evidence to conclude that the mean number of hours per week spent on the Internet differs between 2010 and another year.

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Solve for 4 - (x + 2) < -3 ( x + 4 )
( 9th grade Algebra 1)

Solve for 4 - (x + 2) &lt; -3 ( x + 4 )( 9th grade Algebra 1)

Answers

Answer:A. x < -7Hope this helps!! <3(i took this class, i know its correct) :)

what is the probability that the proportion of orange candy in this sample (a sample proportion) is between 16% and 18%

Answers

The probability that the proportion of orange candy in this sample (a sample proportion) is between 16% and 18% is:0.2023 - 0.0475= 0.1548 (rounded to four decimal places)Hence, the required probability is 0.1548.

To find the probability that the proportion of orange candy in this sample (a sample proportion) is between 16% and 18%, we need to use the normal distribution and the standard normal table. A standard normal table or a z-table is a table that contains the area to the left of z-score on its left tail (to the left of the mean) and represents the normal distribution.

For instance, the area between z=0 and z=1.5 is 0.4332. It shows how likely an event is to occur. The formula to calculate the sample proportion is: sample proportion = (number of favorable outcomes) / (total number of possible outcomes) We can write this as: p = X / N where, p = sample proportion X = number of favorable outcomes N = total number of possible outcomes Now, let's calculate the sample proportion of orange candies: Sample proportion = (number of orange candies) / (total number of candies)= 80 / 500= 0.16 (rounded to two decimal places)

Next, let's calculate the standard deviation of the sample proportion: Standard deviation of sample proportion = √ [ ( p × q ) / n ]where, p = sample proportion  q = 1 - p (probability of failure)n = sample size In this case, p = 0.16q = 0.84n = 500Standard deviation of sample proportion = √ [ ( 0.16 × 0.84 ) / 500 ]= 0.024 (rounded to three decimal places) Now, let's calculate the z-scores for 16% and 18%:z1 = (x1 - μ) / σz1 = (0.16 - 0.20) / 0.024z1 = -1.67 (rounded to two decimal places)z2 = (x2 - μ) / σz2 = (0.18 - 0.20) / 0.024z2 = -0.83 (rounded to two decimal places) Finally, let's look up the areas for these z-scores in the standard normal table:  Area to the left of z1 = 0.0475Area to the left of z2 = 0.2023.

Therefore, the probability that the proportion of orange candy in this sample (a sample proportion) is between 16% and 18% is:0.2023 - 0.0475= 0.1548 (rounded to four decimal places)Hence, the required probability is 0.1548.

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Which statement best explains whether or not a calculator is the most efficient way to simplify (0.68 - 0.38 0.2)

x 2.3?

Hurry up please

Answers

The statement that best explains whether or not a calculator is the most efficient way to simplify (0.68 – 0.38 – 0.2) × 2.3 is multiplying the amount in the parentheses by 2.3 will be a time-consuming process, so using a calculator would most likely be more efficient.

Multiplying the amount in the parentheses by 2.3 can be time-consuming, especially since some of the decimals are to the tenths digit and others are to the hundredths. Therefore, using a calculator would likely be the most efficient way to simplify (0.68 – 0.38 – 0.2) × 2.3.

While multiplying any number by 2.3 can be done quickly by hand, it may still take longer than using a calculator in this case. Additionally, although the calculations inside the parentheses are easily done by hand, it may not necessarily be the most efficient method in this situation.

Complete Question

Which statement best explains whether or not a calculator is the most efficient way to simplify (0.68 – 0.38 – 0.2) × 2.3?

Multiplying the amount in the parentheses by 2.3 will be a time-consuming process, so using a calculator would most likely be more efficient.

Some of the decimals are to the tenths digit and others are to the hundredths, so using a calculator would most likely be more efficient.

The calculations inside the parentheses are easily done by hand and yield a value easily multiplied by 2.3, so finding the solution by hand would most likely be more efficient.

Multiplying any number by 2.3 can be done quickly by hand, so solving this problem by hand would most likely be more efficient.

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Can someone help please??

Can someone help please??

Answers

i feel like it would be B but i’m not sure

- Calculate the area of the circle if your radius is 6 inches. (Area = pi r ^2) (Give answer in exact form
and to the nearest tenth)

Answers

Answer:

37.7 inches

Step-by-step explanation:

u have the formula so with r being radius just multiply by 2 then multiply that answer by pie and round to the nearest tenth.

37.7 around to the nearest tenth

(7−8i)(6 8i) perform the indicated operation and express the result as a simplified complex number

Answers

The result of (7 - 8i)(6 + 8i) is -22 + 8i, which is a simplified complex number.

A complex number is a number of the form a + bi, where a and b are real numbers and i is the imaginary unit (√(-1)). The real part of the complex number is a, and the imaginary part is bi. Complex numbers can be added, subtracted, multiplied, and divided, just like real numbers.

To perform the indicated operation (7 - 8i)(6 + 8i), we will use the FOIL method (First, Outer, Inner, Last). Let's multiply the real and imaginary parts separately and then combine them:

First: 7 * 6 = 42

Outer: 7 * 8i = 56i

Inner: -8i * 6 = -48i

Last: -8i * 8i = -64

Now, let's combine the results:

42 + 56i - 48i - 64

Simplifying further:

42 - 64 + 56i - 48i

Combining like terms:

-22 + 8i

Therefore, the result of (7 - 8i)(6 + 8i) is -22 + 8i, which is a simplified complex number.

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The questions are in the picture below solve all. ​

The questions are in the picture below solve all.

Answers

Answer:

Step-by-step explanation:

1  is 28

2 is 24

3 is 7

4 is 9

A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain. A cross-section of the road can be represented on a graph using the function f(x) = (x – 16)(x + 16), where x represents the distance from the center of the road, in feet. Rounded to the nearest tenth, what is the maximum height of the road, in feet?

Answers

The maximum height rounded to the nearest tenth should be 1,7000 ft in total of the feet rounded

What's the answer for all of these ? (Evacuate each expression)

What's the answer for all of these ? (Evacuate each expression)
What's the answer for all of these ? (Evacuate each expression)
What's the answer for all of these ? (Evacuate each expression)
What's the answer for all of these ? (Evacuate each expression)
What's the answer for all of these ? (Evacuate each expression)

Answers

Step-by-step explanation:

please mark me as brainlest

What's the answer for all of these ? (Evacuate each expression)

Step-by-step explanation:

hope it's helpful for you

pls mark above guy as brainliest
What's the answer for all of these ? (Evacuate each expression)
What's the answer for all of these ? (Evacuate each expression)

which numbers are the extremes of the proportion shown below \(\frac{4}{7} =\frac{20}{35}\)

Answers

9514 1404 393

Answer:

  4 and 35

Step-by-step explanation:

Written as 4/7 = 20/35, the extremes are the outside numbers: 4 and 35.

Dennis is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 69 balloons, how many yards of string will he need?

Answers

Answer:

207

Step-by-step explanation:

9ft=3yrds

3x69=207

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Use the four-step process to find f(x) and then find f(1),f(3), and f(4). f(x)=2x29x+10 f(x)= f(1)= (Type an integer or a simplified fraction.) f(3)= (Type an integer or a simplified fraction.) f(4)= (Type an integer or a simplified fraction.) 1. Define friction. What is a context clue answer key? A 10-year-old child with hemophilia A has slipped on the ice and bumped his knee. The nurse should prepare to administer which prescription?A. Injection of Factor XB. IV infusion of IronC. IV infusion of Factor VIIID. Intramuscular injection of Iron using Z-track method Albinism (a complete lack of melanin pigments) is an autosomally inherited recessive trait. If a man and a woman who are both heterozygous for the pigmented and albino alleles have children, the probability of an albino child is 0.25 and the probability of a nonalbino child is 0.75. Question: If they have five children, what is the probability of them having two albino and three nonalbino, in any orde Give your answer as a decimal rounded to the hundredths. The following formula is provided, but you may or may not need it for this question. It is for you to decide if this formula is appropriate for this question.p = n!/s!t! (a^s b^t) Koda wants to know the proportion of students at his school who watch a certain TV show. He interviews a random sample of students at his school. He finds that 35% of students in the sample watch the show. What conclusion can he draw from the sample? The quantity of products that people are willing to buy at different prices at a specific time is called:__________ ?????????????????????????????????? Describe the different types of social, cultural, and political identities. How do these identities influence and structure attitudes toward politics? (See, for example, differences in opinion among genders, religions, or parties.) What are the partisan patterns evident in these different identities? How do these partisan patterns change over time? please answer step by step as the like question. In Zoie's class, 7/10 of the students walk to school. Another 1/5 of the students ride their bikes. The other students ride on the school bus. What fraction of the class rides on the school bus? How many real roots does the function given by the graph have? All electromagnetic waves travel at the same speed in a vacuum, usually referred to as the speed of light. This speed is approximately 300,000 kilometers per second and is represented by the symbol c.Identify the formula you can use to calculate the speed of an electromagnetic wave. A paracetamol tablet was crushed and an excess of HCl 25cm of 1.0mol was added. the result of the solution was titrate against 0.5mol of NaOH. calculate the mass of CaCO3 in the paracetamol. Given Newtons First Law of Motion, what do we reasonably expect an object to do given the following scenarios?Part (a) An object sits at rest with no unbalanced forces acting upon it. What do we expect this object to do?The object will begin to move at a constant velocity.The object will remain at rest.None of these answers.The object will begin to move with a changing velocity Write an email to a friend about the school trip.In your email, you should: describe where you went say why you enjoyed the trip explain what you did in your lesson to show what you learned on the trip.Your email should be between 150 and 200 words long. Three equal charges are placed at three corners of the square of side length d. If q 4.0 nC and d= 4.0 m, what is the electric potential at the origin ? which question would the nurse ask to obtan information about a bulimic lcients intake habis adn paterns quizlet What deal do the girls make at the end of the story of field day hideaway did she say anything praiseworthy? please change to passive voice What effect did the mass production of radios have on Americans?OA. It led to an overall decline in literacy and critical thinking.B. It reduced the demand for factory jobs in building radios.OC. It allowed for new genres of news, music, and entertainment.OD. It led to the production of televisions and other machines.