31. Two charged particles, each of 2 x 10-C, are brought from infinity to a
separation of 5 cm. Find the increase in electrical potential energy in the
process.​

Answer: (12, 5)

Step-by-step explanation:

3x + 2y = 46 x + y = 17

Subtract y from both sides of the equation.

x = 17 − y 3x + 2y = 46

Replace all occurrences of x with 17 − y in each equation.

   51 − y = 46

x = 17 − y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

Subtract 51 from both sides of the equation.

   −y = 46 − 51

   x = 17 − y

Subtract 51 from 46.

   −y = −5

   x = 17 − y

Multiply each term in −y = −5 by −1

Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1

   x = 17 − y

Multiply (−y) ⋅ −1.

   y = (−5) ⋅ −1

   x = 17 − y

Multiply −5 by −1.

y = 5

x = 17 − y

Replace all occurrences of y with 5 in each equation.

Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)

y = 5

Simplify 17 − (5).

Multiply −1 by 5.

x = 17 − 5

y = 5

Subtract 5 from 17.

x = 12

y = 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

(12, 5)

The result can be shown in multiple forms.

Point Form: (12, 5)

Equation Form: x = 12, y = 5

Answer:

-8,4 and 4,-5

Step-by-step explanation:

Answer:

Emani call me after before we go back to school i got 100 on it

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

I just added it into my calculator

Answer:

(Method: rise/run)

1. 1/3

2. 3

3. 1

4. 2

Answer:

Esther's is more expensive

Step-by-step explanation:

2 dollars per soda

Brainly plss

Answer:

multiplucation problem

Step-by-step explanation:.

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10

Answer:

It takes all staff 3 hours

Step-by-step explanation:

So, first we write down all these important info. It takes half hour for staff to assemble one sixth (1/6) of the booths. First you need to take the fraction 1/6 a whole number by multiplying it by the denominator which in this case is 6 which will give you the answer 1. Next, you do the exact same thing for the other part. Multiply 1/2 by 6 to get 3.

The time to assemble the remaining fraction of the bottle is 3.5 hours.

The time taken for the staff to assemble one - eight (1/8) of the bottles is given as half (1/2) hour.

The remaining fraction of the bottle is calculated as follows;

[tex]= 1 - \frac{1}{8} \\\\= \frac{7}{8}[/tex]

The time to assemble the remaining fraction of the bottle is calculated as follows;

1/8 ----------------- 1/2 hour

7/8 ---------------- ?

[tex]\frac{7}{8} \times \frac{1}{2} \times \frac{8}{1} = 3.5 \ hours[/tex]

Learn more about time to complete work here: https://brainly.com/question/10929133

Answer:

2025 over 16

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Firstly, we will identify the angle that has the given cosine value

From what we can see, the arc cos of this value is 45 degrees

but, as we can see, the value is negative

On the quadrants, the value of cosine is negative on the 2nd and 3rd quadrant

2nd quadrant ranges from 90 - 180

That is pi/2 to pi

3rd ranges from 180 to 270

That is pi to 3pi/2

Kindly recall, we are considering angles from -360 to 360

So what this mean is that we will consider angles that are negative of what we have as positive angles on the first and fourth quadrant on which cosine is positive

Thus, we have the following;

5pi/4 is same as 225 degrees

This is on the 3rd quadrant, and cosine is negative there

7pi/4 is same as 315 and this is on the fourth quadrant

This is expected to be negative because normally, cosine is positive on that axis and what we have should be negative

3pi/4 is same as 135

This is on the second quadrant and normally, cosine is negative here so we do not need to negate the angle measure

pi/4 is on the first quadrant and cosine is positive here;

Since the value we have here is positive, we have to negate the angle measure

So the correct angles are;

negative pi/4

positive 3pi/4

positive 5pi/4

negative 7pi/4

Answer:

x = 3w + 25m

Step-by-step explanation:

The number of dogs she walks (w) and the number of lawns that Sammy mows (m) need to be multiplied by the amount of money that Sammy makes from each individual action. Both of these products are then added together to equal the total amount of money that Sammy has earned. All of this can be represented with the following expression where x is the total amount of money earned...

x = 3w + 25m

Answer:

1/3^3 *1/3^2

1/27 *1/9

1/243

Answer: 1/243

Step-by-step explanation:

first, i calculate it.

3^-5

then, i expressed it with a positive exponent.

1/3^5

finally, i simplified it.

1/243

Answer:

320 pesos

Step-by-step explanation:

Un 20% de descuento en formato decimal es 0.20. La totalidad de la bicicleta es representada como 100% o 1 y nosotros queremos saber el precio despues del descuento que seria

100% - 20% = 80% o 0.80

Ahora simplemente multiplicamos este decimal por el valor original de la bicicleta para saber el precio descontado...

400 * 0.80 = 320 pesos

Answer:

Step-by-step explanation:

3/5(-60)(-2/3)=24

choice C

Answer:

[tex]x=-4,\:x=-\frac{1}{5}[/tex]

Step-by-step explanation:

The zeroes of the function [tex]g(x)=(-5x-1)(2x+8)[/tex] can be found by setting [tex]g(x)[/tex] to [tex]0[/tex], then solving for [tex]x[/tex]:

[tex](-5x-1)(2x+8)=0[/tex]

When either term is [tex]0[/tex], the equation is true. Therefore we have two cases:

[tex]\begin{cases}-5x-1=0,\: -5x=1, \:\fbox{$x=-\frac{1}{5}$}\\2x+8=0,\:2x=-8,\:\fbox{$x=-4$}\\\end{cases}[/tex]

Form the given function lesser x value is -4 and the greater x value is -1/5.

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

The given function is g(x)=(-5x -1)(2x +8)

Now, (-5x -1)(2x +8)=0

(-5x -1)=0 and (2x +8)=0

-5x=1 and 2x=-8

x=-1/5 and x=-4

Therefore, form the given function lesser x value is -4 and the greater x value is -1/5.

To learn more about the zeros of a function visit:

https://brainly.com/question/18038662.

#SPJ2

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

Answer:

3,6,-1,5, and -4

Step-by-step explanation:

Domains is the X

Answer:

hi

Step-by-step explanation:hi

Answer:

75

Step-by-step explanation:

45+(2*15)

45+30

75

Hope it helped!

Answer:

Equation: 45 + 2(x)

Answer: 45 + 2(15) = 45 + 30 = $75

Step-by-step explanation:

45: # of money she had

2: the amount of money she makes when she completes her chores

x: the number of days she completes her chores

Hope this helps!

Answer:

a

Step-by-step explanation:

i think its a

Answer:

y = x - 1

Step-by-step explanation:

The given line is y = x - 4.  Any line parallel to this one has an equation of the same form, though the constant will be different.

Substitute the coordinates of the given point (2, 3) into y = x - 4 and determine the value of b, which is the y-intercept:

3 = 2 - C

Then C = -1, and the desired equation is y = x - 1.

Answer:

Answer  for the first question is D

Step-by-step explanation:

^^^^^

Answer:

x + 3y = 4x + y

Step-by-step explanation:

it looks like both sides weight the same, also each triangle represents an x and each square represents a y

Answer:

It equals 3

Step-by-step explanation:

To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.