Find the area of the paralellogram (with steps please)

The point charges placed 0.500 m apart are 10.4 nC and 43.9 nC. Then, the electric field halfway between these charges will be -4824 N/C.

The physical field that surrounds particles with an electrical charge is called an electric field. All other charged particles in the field are affected by it, either being attracted to it or being repelled by it.

The electric field because of a point charge q is written as \(E=\frac{kq}{r^2}\)

Positive point charges cause the electric field to point away from the point, whereas negative point charges cause the electric field to point in the direction of the point. Then, the electric field of the midpoint p in the diagram is written as,

\(\begin{aligned}E_p&=\mathrm{\frac{k(10.4\;nC)}{(0.25\;m)^2}-\frac{k(43.9\;nC)}{(0.25\;m)^2}}\\&=\mathrm{\frac{k(10.4-43.9)\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{\frac{9\times 10^9\;Nm^2/C^2\times 33.5\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{4824\;N/C}\end{aligned}\)

The required answer is -4824 N/C.

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Answer:

it a a and d

Step-by-step explanation:

Answer:

w=36

f=12

k=13

Step-by-step explanation:

Answer:

Answer: 5.6 kilograms.

Step-by-step explanation:

We know that 1,000 paperclips have a mass of 1 kilogram.

Therefore, one paperclip has a mass of 1/1000 kilograms, or 0.001 kilograms.

To find out how many kilograms 5,600 paperclips have, we can multiply the mass of one paperclip (0.001 kilograms) by the number of paperclips:

0.001 kilograms/paperclip * 5,600 paperclips = 5.6 kilograms

Therefore, 5,600 paperclips have a mass of 5.6 kilograms.

Answer:

  (x, y) = (5, 0)

Step-by-step explanation:

Maybe you're trying to solve the system ...

It is convenient to add the two equations to eliminate the y-variable.

  (3x +8y) +(2x -8y) = (15) +(10)

  5x = 25 . . . . . . simplify

  x = 5 . . . . . . . . divide by 5

Substituting into the first equation, we have ...

  3(5) +8y = 15

  8y = 0 . . . . . . . subtract 15

  y = 0 . . . . . . . . divide by 8

The solution to the pair of equations we think you want to solve is ...

  (x, y) = (5, 0)

Answer:

question is not clear but i try

in this fig both cuboid have different surface area because total no.of boxes are not same

The expressions that are equivalent to 3^8 are:

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B  3²x3^6

= 9 x 729

= 6561

C.  3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E.  (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

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Answer:

u didn't add any question so how are we gonna help

Answer:

b and e I think not sure :) :) :)

Answer:

2.8

Step-by-step explanation:

We can rewrite the equation of the line as x+y-4=0.

So, the distance is

\(\frac{|(1)(4)+(1)(-4)-4|}{\sqrt{1^2+1^2}} \approx 2.8\)

Answer:

0.34%

Step-by-step explanation:

1. Start by representing the percentage with the variable, x %. Using x%, create an algebraic expression.

    29% X x = 3

2. Solve for x by dividing both sides by 29.

   29x divided by 29 =3 divided by 29.

             x=0.1034

3.Convert 0.1034 into a percentage by multiplying the decimal by 100%

             X =0.1034 x 100%

                  x=10.34%

The number of  pages Andrea read today is 56 pages.

Given that, Andrea is enjoying the novel she is reading. She had read 431 pages when she checked yesterday.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of pages Andrea read today be x.

She read more this afternoon and has now read a total of 487 pages.

Now, x=487-431

⇒ x=56

Hence, the number of  pages Andrea read today is 56 pages.

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The break-even sales (units) when the variable costs are decreased by $4 is approximately 47,714 units.

To find the break-even sales (units) when the variable costs are decreased by $4, we need to calculate the new unit variable costs and then use the break-even formula.

Fixed costs (F) = $334,000

Unit selling price (P) = $22

Unit variable costs (V) = $19

Change in unit variable costs = $4

New unit variable costs (V') = V - Change in unit variable costs

= $19 - $4

= $15

Now, let's calculate the break-even sales (units) using the formula:

Break-even sales (units) = Fixed costs / (Unit selling price - Unit variable costs)

Break-even sales (units) = $334,000 / ($22 - $15)

= $334,000 / $7

= 47,714.29

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The Revised statement balance of the amount of $ 864.52 is the balance from checkbook means that tina's account is reconcile.

A bank reconciliation is done to check whether the cash balance maintained in the ledger accounts matches with the balance of the bank statement. If the two balances do not match after reconciliation , it means there may be some errors in recording or mishandling of cash.

Calculation to Find tina revised statement balance.

Using this formula;

Revised statement balance = Ending balance+Deposits-Checks Outstanding

Revised statement balance =$ 725.71+$610.00-$ 471.19

Revised statement balance =$ 864.52

The Checks Outstanding could be found from the Check register.

Based on the calculation; the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that tina's account is reconcile.

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The complete question is

Use tina weaver's monthly statements and check register to reconcile her account. Checking Account Summary

Ending Balance $ 72571

Deposits + $610.00

Checks Outstanding - $ 471.19

Revised Statement Balance, Check Register Balance $ 864.52

-1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

To determine the value of "a" for which the function f(x) is continuous at x = 1, we need to check if the left-hand limit and the right-hand limit of f(x) as x approaches 1 are equal, and if the value of f(x) at x = 1 is equal to these limits.

First, let's calculate the left-hand limit of f(x) as x approaches 1. For x < 1, the function is given by f(x) = (ax² - 1). To find the left-hand limit, we substitute x = 1 into this expression:

lim(x→1-) f(x) = lim(x→1-) (ax² - 1) = a(1²) - 1 = a - 1.

Next, let's calculate the right-hand limit of f(x) as x approaches 1. For x > 1, the function is given by f(x) = (a(x² - 2x + 1)). Substituting x = 1 into this expression, we have:

lim(x→1+) f(x) = lim(x→1+) (a(x² - 2x + 1)) = a(1² - 2(1) + 1) = a(1 - 2 + 1) = a.

For the function f(x) to be continuous at x = 1, the left-hand limit and the right-hand limit should be equal. Therefore, we have:

a - 1 = a.

To solve this equation for "a," we subtract "a" from both sides:

-1 = 0.

Since -1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

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(a) The probability that at most 8 involve a single vehicle = 0.057

(b) The probability that exactly 8 involve a single vehicle = 0.035

(c) The probability that exactly 10 involve multiple vehicles = 0.117

(d) The probability that between 5 and 8, involve a single

vehicle = 0.056

(e) The probability that at least 5 involve a single vehicle = 1

(f) The probability exactly 8 involve a single vehicle and the other 12 involve multiple vehicles = 0.035

Probability is defined as the ratio of favorable outcomes to all other possible outcomes of an event. For an experiment with 'n' number of outcomes, the symbol x can be used to indicate the number of excellent outcomes. The probability formula is as follows:

x/n, where Probability is Favorable Outcomes/Total Results (Event).

Now, P = 0.6

n = 20

x ≅ Binomial (20; 0.6)

P(x) = (nx) Px q n-x

Now, at most 8 involve a single vehicle is:

P (x ≤ 8) = 0.057

Again, exactly 8 involve a single vehicle is:

P (x =8) = 0.035

Now exactly 10 involve multiple vehicles is:

P (x = 10) = 0.117

Similarly, between 5 and 8, involve a single vehicle is:

P (5 ≤ x ≤ 8) = 0.056

The probability of at least 5 involve a single vehicle is:

P (x ≥ 5) = 1

The probability that 8 involve a single vehicle and the other 12 in multiple vehicles is:

P (x = 8) = 0.035

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Answer:

Calculate the mean of the x -values and the mean of the y -values. ...

The following formula gives the slope of the line of best fit: m = ∑ i = 1 n ( x i − X ¯) ( y i ...

Compute the y -intercept of the line by using the formula: b = Y ¯ − m X ¯

Use the slope m and the y -intercept b to form the equation of the line.

Answer: 2 pounds

Step-by-step explanation: 3.50 + 3.50 = 7$ so the answer is 2

Answer:

2 pounds of candy can be bought for $u

Step-by-step explanation:

We have 2 "$3.50" in "$7" and we know that for every $3.50 we have, we can buy 1 pound of candies. Therefore, for $7, we can buy 2 pounds of candies

I hope this helps! :)

Answer:

2,700 ft in the air

Step-by-step explanation:

Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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Answer:

V = 5412 cm^3

Step-by-step explanation:

\(v \: = 41 \times 22 \times 6 \\ \\ v = 5412 \: {cm}^{3} \)

I hope that is useful for you :)

In the  word problem above, 0 small pizzas, 1 medium pizza, and 5 large pizzas were delivered to the college.

Let  S = number of small pizzas delivered

Let M = number of medium pizzas delivered

Let L = number of large pizzas delivered

We'll start by solving equation 1 for one variable and substituting it into the other equations.

S + M + L = 12

We can rewrite this equation as -

S = 12 - M - L

Now, substitute this value of S in equations 2 and 3 -

4S + 10M + 15L = 109

4(12 - M - L) + 10M + 15L = 109

48 - 4M - 4L + 10M + 15L = 109

6M + 11L = 61

2S + 4M + 13L = 81

2(12 - M - L) + 4M + 13L = 81

24 - 2M - 2L + 4M + 13L = 81

2M + 11L = 57

Now we have a system of two equations with two variables -

6M + 11L = 61 ...(4)

2M + 11L = 57 ...(5)

Subtract  equation   (5)from equation (4) -

(6M +   11L) - (2M +11L) = 61 - 57

4M = 4

M = 1

Substitute the value of M into equation (5) -

2(1) + 11L = 57

2 + 11L = 57

11L = 55

L = 5

Now substitute the values of M and L into equation (1) -

S + 1 + 5 = 12

S + 6 = 12

S = 6 - 6

S = 0

Therefore, the solution is -

S = 0 (no small pizzas)

M = 1 (1 medium pizza)

L = 5 (5 large pizzas)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

a pizza shop delivered 12 pepperoni pizzas to a college on the first night of final exams. the total cost of the pizzas was $109. a small pizza costs $4 and contains 2 ounces of pepperoni. a medium pizza costs $10 and contains 4 ounces of pepperoni. a large pizza cost $15 and contains 13 ounces of pepperoni. the owner of the pizza shop used 5 pounds 1 ounces of pepperoni in making the 12 pizzas. how many pizzas of each size were delivered to the college?

Answer:

5 cookies per friend

Step-by-step explanation:

15 divided by 3 is 5. So each friend should get 5 cookies.

Answer:

Each friend should get 5 cookies each.

Step-by-step explanation:

15 divided by 3= 5

Answer:

r = 8 units

Step-by-step explanation:

The equation of the circle centered at the origin is x² + y² = r²

   x² + y² = 64

   x² + y² = 8²

      r = 8 units

Answer:

8

Step-by-step explanation:

An equation of a circle is depicted by the notation \((x-h)^2+(y-k)^2=r^2\), where

- \((h,k)\) is the center point of the circle

- \(r\) is the radius (the span of units from the origin to the border of the circle)

In this unique problem, the center is the origin (0,0), so \(h\) and \(k\) respectively equal 0.

Since the equation of the circle is \(x^2+y^2=64\) , we must square root 64 since it's in it's \(r^2\) form to obtain the value of \(r\), which is the radius.

\(\sqrt{64}\)=±8

Despite mathematically, -8 or 8 will work in this case, you cannot have a negative radius; therefore, the radius of the circle is 8.

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Answer: D

Step-by-step explanation:

Hope it helps

Answer:

456,976

Step-by-step explanation:

26•26•26•26=456,976

There are 26 options for each spot in the password and 4 spots, so it's 26^4

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2