find the product
3a×9bc​

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

Answer:

I think it is B) 0

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The answer is 5³.

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]

[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]

[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]

So for this question :

[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = {5}^{10} \div {5}^{7} [/tex]

[tex] = {5}^{3} [/tex]

Answer:

2

Step-by-step explanation:

The 2 points are (2,1) and (4,2) so you have to do rise over run by doing y2-y1 divided by x2-x1 which will give you 2

Answer:

2 Hundreds plus 12 Tens

Step-by-step explanation:

Since 2 hundred equals 200, and 12 tens equals 120, the equation goes 200 + 120, which equals 320.

As angle x° and angle 76° are alternate interior angles their measure will be equal.

Which means :-

[tex]x° = 76° \:[/tex]

Therefore , the value of x = 76° .

Answer:

f(x)=ax2+bx+c

Step-by-step explanation:

Let me Know if I helped alot and also Let me know if you need my help again ill be here

Answer:

100 miles

Step-by-step explanation:

Let the number of miles driven = x

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.

$55 + $0.25x

55 + 0.25x

For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.

$45 + $0.35x

45 + 0.35x

Equation :

55 + 0.25x = 45 + 0.35x

The number of miles for which the companies’ charges will be the same is calculated as:

55 + 0.25x = 45 + 0.35x

Collect like terms

55 - 45 = 0.35x - 0.25x

10 = 0.10x

x = 10/0.10

x = 100 miles

The number of miles for which the companies’ charges will be the same is

100 miles.

Answer:

its c y

Step-by-step explanation:

Answer:

the cist of entry for x adults

Answer:

i think it would be d)

Step-by-step explanation:

cuz like, it says to write an expression. for an expression, most of the time you need more than one like number and variable

hope this helped :)

Answer:

[tex]m^{317}[/tex]

Step-by-step explanation:

In indices, the division postulate is true:

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

Apply this to the question:

[tex]\frac{m^{238}}{m^{-79}} \\= m^{238-(-79)}\\= m ^{238+79}\\= m^{317}[/tex]

Hence the expression expressed in the form [tex]m^v \ is \ m^{317}[/tex]

Answer:

rational since all decimals that terminate are rational here is a sheet to help

6.825 is rational number.

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. The set of rational numbers is denoted by Q.

Given number: 6.825

Now, we know Terminating decimals like 0.35, 0.7116, 0.9768, etc., are rational numbers.

So, we can see that 6.825 is terminating decimal.

Learn more about rational and irrational number here:

https://brainly.com/question/24398433

#SPJ2

Answer:

i think its b

Step-by-step explanation:

im so sorry if im wrong

Answer:

38

Step-by-step explan

bc ik

Answer:

37: 36

Step-by-step explanation:

You can not simplify. Have a good day!

Answer:

y=2x

Step-by-step explanation:

Answer:

y = 2x

Step-by-step explanation:

y intercept = 0

slope = rise/run

rise = 2

run = 1

2/1=2

slope is 2

Answer:

6.79

Step-by-step explanation:

Divide the number of whatever you have, by the price of it in total to find the unit price.

Answer:

$6.79 per pair

Step-by-step explanation:

1. Divide

33.95/5

2. Simplify

33.95/5=$6.79

Answer:

b=-7    or the y-intercept is -7

Step-by-step explanation:

-7= =3(0)+b

-7=b

Answer:

7390

Step-by-step explanation:

there are 720 mins in 12 hours plus the 19 mins is 739 times 10 is 7390

Answer:

Step-by-step explanation:

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

The answer is C on Edge

Step-by-step explanation:

Answer:

4.  Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.

Step-by-step explanation:

Option 1, 2 and 3 will return a shape back to its original because:

1. 3 units up and 3 units down are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.

2. Reflect over line p, and over p again.

This actions are also direct opposite and also have the same effect as (1)

3. Translate 1 unit to the right and 3 units to the right.

This equates to 4 units to the right and it will cancel out the translation of 4 units to the left.

4. Rotate 120 counter clockwise and another 220 counterclockwise will not make a shape go back to its original position.

Hence:

4 answers the question