prove that the electric field is negative of the gradient of electric potential​

Answers

Answer 1

Answer:

Electric field points out the direction in which potential energy function is decreasing so it's the negative gradient vector of the potential energy function.

Step-by-step explanation:

^^


Related Questions

Evaluate the expression. Show work.

2w + 2l when w= 4 and l=6

Answers

Answer:20

Step-by-step explanation:

2(4)+2(6)

8+12=20

Answer: 20

Step-by-step explanation:

Plug in 4 for w and 6 for I.

2(4) + 2(6) = 8 + 12 = 20

GUYS HELP ME PLS. Tina is standing at the bottom of a hill. Matt is standing on the hill so that when Tina's line of sight is
perpendicular to her body, she is looking at Matt's shoes.
a. If Tina's eyes are 5 feet from the ground and 14.5 feet from Matt's shoes, what is the angle of elevation of
the hill to the nearest degree?

Answers

Answer:

71°

Step-by-step explanation:

The angle of elevation of the hill can be obtiaed using trigonometry :

Given

the opposite length = 14.5 feets

Adjacent = 5 feets

The angle of elevation vabnbe obtained using :

Tan θ = opposite / Adjacent

Where θ = angle of elevation

Tan θ = 14.5 / 5

Tan θ = 2.9

θ = tan^-1(2.9)

θ = 70.97 = 71°

Daria rolls a number cube. What is the probability that it will land on a 1?

Answers

Answer:

1 out of 6 or 16.7%

Step-by-step explanation:

def one out of 6 or 16.7%

determine if the work for each problem is correct correct only errors and explain your thinking ​

Answers

Answer:

v= BH

the second part is wrong the base is 7.5 not 9.5

so the base look like this

v = 7.5(13)

v = 97.5

Step-by-step explanation:

HELPPPP ME PLEASEEE

Answers

Answer:

your answer will be 588in²

Step-by-step explanation:

Area=πr²

=π(14)²

=3×(14)²

Area=588in²

hope it helps..

have a great day!!!

Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.

A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!




B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A

THANK YOU!!​

Answers

Answer:x=18

Step-by-step explanation:

if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V

The mathematics faculty at a college consists of 7 ​professors, 4 associate​ professors, 4 assistant​ professors, and 6 instructors. If one faculty member is randomly​ selected, find the probability of choosing a professor or an instructor.

Answers

Answer:

0.619 = 61.9% probability of choosing a professor or an instructor.

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7 + 4 + 4 + 6 = 21 members

7 + 6 = 13 professors or instructors.

Find the probability of choosing a professor or an instructor.

p = 13/21 = 0.619

0.619 = 61.9% probability of choosing a professor or an instructor.

PLS HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.



Write a question that could be answered by solving the equation 10−0.035d=4.

Answers

Answer:

By solving this equation for the variable ' d ', you learn how many days after you fill the tank you'll have to send somebody back to fill it again.

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

-2

Step-by-step explanation:

This is an easy way to do it with points

(0,2)

+1  -2

(1,0)

rise/run  -2/1= -2

For the following set of data, find the mean, median and mode.
age of children Danielle babysits:
6,9,2,4,3,6,5
(3 Points)
Mean = 4 years old
Mean = 5 year old
Mean = 9 years old
Mode = 2 years old
Mode = 6 years old
Mode = 9 years old
Median = 4 years old
Median = 4.5 years old
Median = 5 years old

Answers

Mean = 5 it’s the average. Total/7
Mode = 6 what number occurs most often
Median = 5 line them up smallest to highest, whats the middle number?

hi can I send a screenshot?​

Answers

Answer:

Yeah

Step-by-step explanation:

☁️ Answer ☁️

Yes! Send a screenshot and ask ur question

Which describes the correlation shown in the scatterplot?

Answers

Answer:2,4

Step-by-step explanation:

LOOK AT THE IMAGE!!!
DO NOT JUST ANSWER FOR POINTS

Answers

Answer:

C) (-3,-1)

Step-by-step explanation:

C) (-3,-1)

complete the table for the equation

Answers

Answer:

(2,5)

(3,-4)

(4,-7)

(5,-4)

(6,5)

A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1048 miles apart. What was the average speed of each vehicle?

100 POINTS

Answers

Answer:

Step-by-step explanation:xmccc

Truck speed be x
Car travel at x+19
They travel in opposite directions so the separation is (x+x+19) * no. Of the hours
1048 = (2x+19)*8
X= ((1048/8)-19)/2
=56

Truck speed is 56 miles per hour
Car speed is 56+19=75 miles per hour

find the centre and radius of the following Cycles 9 x square + 9 y square +27 x + 12 y + 19 equals 0​

Answers

Answer:

Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Step-by-step explanation:

Given

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Solving (a): The radius of the circle

First, we express the equation as:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

So, we have:

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Divide through by 9

[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]

Rewrite as:

[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]

Group the expression into 2

[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

Next, we complete the square on each group.

For [tex][x^2 + 3x][/tex]

1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]

2: Take the [tex]square\ of\ the\ division[/tex]

3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]

So, we have:

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Factorize

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Apply the same to y

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]

Add the fractions

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

By comparison:

[tex]r^2 =\frac{7}{12}[/tex]

Take square roots of both sides

[tex]r =\sqrt{\frac{7}{12}}[/tex]

Split

[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]

Rationalize

[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]

[tex]r =\frac{\sqrt {84}}{12}[/tex]

[tex]r =\frac{\sqrt {4*21}}{12}[/tex]

[tex]r =\frac{2\sqrt {21}}{12}[/tex]

[tex]r =\frac{\sqrt {21}}{6}[/tex]

Solving (b): The center

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

From:

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]

Solve for h and k

[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]

Hence, the center is:

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?

Answers

Answer:

4 pounds

Step-by-step explanation:

A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth
Enter your answer in the box.

Answers

Answer:

29.71%

Step-by-step explanation:

The interest rate of the savings account is = 114.3%

Calculation of interest rate percentage of an account

The start up or principal amount (P) = $181.25

Simple interest after 7 years (SI) = $1450

Time or duration (T) = 7 years

To calculate the rate percentage of interest;

R = SI × 100/P×T

R = 1450 × 100/ 181.25 × 7

R = 145000/1268.75

R = 114.3%

Therefore, the interest rate percentage of the savings account is = 114.3%

Learn more about simple interest here:

https://brainly.com/question/25793394

Find the area of the polygon.

Answers

6 is the answer to your question

The function g is given in three equivalent forms.
Which form most quickly reveals the y-intercept?
Choose 1 answer:
g(x) = 3x² + 6x - 9
g(x) = 3(x + 1)² – 12
-
g(x) = 3(x+3)(x - 1)
What is the y-intercept?
y-intercept = (0,

Answers

The form of the function that most quickly reveals the y-intercept is the second form:

[tex]g(x)=[/tex] [tex]3(x+1)^{2} - 12[/tex]

To find the y-intercept, we need to determine the value of g(x) when x is equal to 0. By substituting x = 0 into the function, we have:

[tex]g(0)=3(0+1)^{2} -12[/tex]

     [tex]=3(1)^{2} -12[/tex]

     [tex]=3-12[/tex]

     [tex]=-9.[/tex]

Therefore, the y-intercept is -9. This means that the graph of the function intersects the y-axis at the point (0, -9), where the x-coordinate is 0 and the y-coordinate represents the y-intercept value.

For more questions on function, click on:

https://brainly.com/question/11624077

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olve the Following Inequality Select the possible range of solution to make the Statement True.

-6m < -24

Group of answer choices {Select All That Apply}

1, 2, 3

-1, -2, -3

4, 5, 6

-, 4, -5, -6

Answers

Answer:

We have ,

=> -6m < -24

=> m < -24/-6

=> m < 4

Therefore ,

m € (4,-∞)

How much Hundreds equal 28?

Answers

Answer:

0.28

Step-by-step explanation:

0.28*100=28

According to a NY Times article in 2009, the average selling price of an LCD TV was $700. What would be the cost of that same TV in 2016 dollars?

Answers

The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.

How to calculate LCD TV depreciation?

To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.

A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:

700 - 105 = 595595 - 89.25 = 505.75505.75 - 75.86 = 429.88429.88 - 64.48 = 365.39365.39 - 54.80 = 310.58310.58 - 46.58 = 263.99263.99 - 39.59 = 224.39

Learn more about depreciation in: https://brainly.com/question/15085226

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Determine whether the function is periodic. If it is periodic, find the period. f(x)=7sin^3x a. 2pi b. 4pi c. Not periodic d. pi

Answers

It’s not periodic hope this helps

A contractor is building a fence around a square garden that has a side length of 3 inches in a scale drawing. The scale factor of the drawing is 1 1/2 inches : 4 feet. If one link of fence measures 2 2/3 feet, shade the correct number of links needed to build a fence around the entire garden ​

Answers

The number of fences needed to build around the entire garden is 12.

What is a square?

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

Side of the square garden = 3 inches

Scale factor.

1(1/2) inches = 4 feet

3/2 inches = 4 feet

3 inches = 8 feet

Now,

Length of one fence.

= 2(2/3) feet

= 8/3 feet

Now,

The perimeter of the square.

= 4 side

= 4 x 3 inches

= 12 inches

= 4 x 8 feet

= 32 feet

Now,

The number of fences needed to build the fence around the garden.

= 32 ÷ 8/3

= 32 x 3/8

= 12 fences

Thus,

12 fences are needed to cover the entire garden.

Learn more about squares here:

https://brainly.com/question/22964077

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38 POINTS FOR THIS

pls answer some of these questions or even all ty

Answers

Answer:

there are no questions

Step-by-step explanation:

but may i still please have a brainliest

if not then it is ok

write the questions in the comments

Answer:

What questions?

I don't see anything

Lodging is $75.00 per night. Find the cost of three nights and 7% sales tax.

Answers

Answer: $240.75

Step-by-step explanation:

606 divided by 49 in long division ​

Answers

12.(367346938775510204081632653061224489795918) = 12 remainder 18

Answer:

12 <----

Step-by-step explanation:

the remainder is 18 but the answer is 12 and the full thing would be

------> 6.18367346939

log (5x) (x)= 7/2


Answers

Answer:

[tex]x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}[/tex]

Pyramid A has a height of 10 feet and a volume of 120 cubic feet. The base of Pyramid B has the same dimensions as Pyramid A but is twice as tall. How is the volume affected by the change in the dimensions? (PLEASE HELP!)

Answers

A volume of a pyramid=base area×height/3

both the bases have same dimensions

pyramid B is twice the height of A

therefore the volume is doubled

Answer:

Pyramid B = 240 cubic feet, the volume doubled

Step-by-step explanation:

Pyramid A: 120/10 =12,   12 x 3 = 36 ft² base

Pyramid B: 36 ft² base x 20 ft tall x 1/3 = 240 cubic feet

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Which of the following statements about greenhouse gases and the greenhouse effect is true?A.)Greenhouse gases are transparent to longwave thermal radiation but absorb shortwave solar radiation.B.)Greenhouse gases reradiate thermal energy as longwave radiation in all directions.C.)The greenhouse effect on Earth is caused entirely by a single greenhouse gas, carbon dioxide.D.)The greenhouse effect causes energy to be reflected from the surface of the Earth back into space. describe the spectrum you would observe for the emission spectrum of elemental hydrogen gas. Crees que los dioses de estos mitos trabajan en equipo que la gente comn? Explica tu respuesta Part A: Which sentence describes the central idea of the text?A. Marian refused to perform in front of segregated audiences, ending segregation Juan earns a flat fee of $150 plus $20 for every hour he works decorating 5 pointsa house. Which graph correctly displays Juan's earnings? Which country was a member of the Central Powersa. Franceb. Ottoman Empirec. Russiad. United Statese. Italy (in the lord of the rings books ) an outline for how Gandalf is the Jesus like figure in the books and what he does like Jesus Please help me i really need help please help me please i really really need help please For this exercise, you will complete the TicTacToe Board that we started in the 2D Arrays Lesson.We will add a couple of methods to the TicTacToe class.To track whose turn it is, we will use a counter turn. This is already declared as a private instance variable.Create a getTurn method that returns the value of turn.Other methods to implement:printBoard()- This method should print the TicTacToe array onto the console. The board should include numbers that can help the user figure out which row and which column they are viewing at any given time. Sample output for this would be: 0 1 20 - - - 1 - - - 2 - - - pickLocation(int row, int col)- This method returns a boolean value that determines if the spot a user picks to put their piece is valid. A valid space is one where the row and column are within the size of the board, and there are no X or O values currently present.takeTurn(int row, int col)- This method adds an X or O to the array at position row,col depending on whose turn it is. If its an even turn, X should be added to the array, if its odd, O should be added. It also adds one to the value of turn.checkWin()- This method returns a boolean that determines if a user has won the game. This method uses three methods to make that check:checkCol- This checks if a player has three X or O values in a single column, and returns true if thats the case.checkRow - This checks if a player has three X or O values in a single row.checkDiag - This checks if a player has three X or O values diagonally.checkWin() only returns true if one of these three checks is true.public class TicTacToeTester{ public static void main(String[] args) { //This is to help you test your methods. Feel free to add code at the end to check //to see if your checkWin method works! TicTacToe game = new TicTacToe(); System.out.println("Initial Game Board:"); game.printBoard(); //Prints the first row of turns taken for(int row = 0; row < 3; row++) { if(game.pickLocation(0, row)) { game.takeTurn(0, row); } } System.out.println("\nAfter three turns:"); game.printBoard(); }}public class TicTacToe{ private int turn; private String[][] board = new String[3][3]; public TicTacToe() { for(int i = 0; i < 3; i++) { for(int j = 0; j < 3; j++) { board[i][j] = "-"; } } } //this method returns the current turn public int getTurn() { return turn; } /*This method prints out the board array on to the console */ public void printBoard() { } //This method returns true if space row, col is a valid space public boolean pickLocation(int row, int col) { return true; } //This method places an X or O at location row,col based on the int turn public void takeTurn(int row, int col) { } //This method returns a boolean that returns true if a row has three X or O's in a row public boolean checkRow() { return true; } //This method returns a boolean that returns true if a col has three X or O's public boolean checkCol() { return true; } //This method returns a boolean that returns true if either diagonal has three X or O's public boolean checkDiag() { return true; } //This method returns a boolean that checks if someone has won the game public boolean checkWin() { return true; }} What's the number between 1.35 and 1.351