If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, Φsquare is ________ ϕcircle .

Answers

Answer 1

Answer:

The area of this circle is [tex](\frac{\pi}{2} )[/tex]  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

Step-by-step explanation:

Area of the circle is given by;

[tex]A_c = \frac{\pi d^2}{4}[/tex]

Area of the square is given by;

[tex]A_s = L^2[/tex]

relationship between the edge length of the square, d, and length of its side, L,

[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]

But area of the square , [tex]A_s = L^2[/tex]

[tex]d = \sqrt{2A_s}[/tex]

Then, the area of the square in terms of the edge length is given by;

[tex]A_s = \frac{d^2}{2}[/tex]

Area of the circle in terms of area of the square is given by;

[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]

Flux through the surface of the square is given by;

[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

Answer 2

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square

The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Φsquare is [tex]\dfrac{2}{\pi}[/tex]  ϕcircle

Given

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square

For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.

Therefore, Φsquare is ________ ϕcircle .

1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.

The area of the circle is;

[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]

The area of the square is;

[tex]\rm Area \ of \ square = a^2[/tex]

The relationship between the edge length of the square, d, and length of its side a is;

[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;

[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.

2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Ф = E.A

3. Flux through the surface of the circle is given by;

[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]

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Related Questions

I NEED HELP HERE ASAP, I’m giving brainliest to the right one. I forgot how to solve this:/

Answers

Answer:

28 weeks

Step-by-step explanation:

It says that $42 was 1/3 of her total. So you multiply $42 by 3 and you get $126. You now divide $126 by her weekly allowance, $4.5, and the answer is 28.

1. $42 x 3 = $126

2. $126/$4.5 = 28

3. The answer is Sharon has been saving her allowance for 28 weeks.

Hope this helps!

-Jerc

Answer:

She has been saving her money up for 28 weeks.

Step-by-step explanation:

1. If 42 is 1/3 of her money, then you would multiply 42 by 3 to get the full 3/3 so: 423=126

2. Next, you would divide $126 by $4.50 because that is the total amount of money divided by how much she saved up each week, so: 126/4.5=28 and that gives us the answer which is 28.

What Is It HomeWork*.

Answers

Answer:

sumthing that we hate doing

Step-by-step explanation:ughhhhhhhhhh

The inequalities is 6 is greater than or equal to 6

Round 1.24236 to the nearest hundredth

Answers

Answer:

1.24

Step-by-step explanation:

If A is the least common multiple of 12, 24, and 36, and B
is the lowest prime number, what is the sum of A and B ?

F.
3
G.
4
H.
73
J.
74
K.
145

Answers

Answer:

74

Step-by-step explanation:

A= Least common multiple of 12,24,36

Factors of 12 = 2*2*3

Factors of 24 = 2*2*2*3

Factors of 36 = 2*2*3*3

A = 2*2*2*3*3 = 72

B = Lowest prime number = 2

A+B = 72+2 = 74

f(n)= 4n+4
g(n)= n + 1
Find (f + g)(n)

Answers

(F+g)(n) = f(n)+g(n) = 4n+4+n+1 = 5(n+1)

There are (26)3⋅ 20 bacteria in a sample. What is the total number of bacteria in the sample? (1 point)

Answers

Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560

Step-by-step explanation:

1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?

Answers

This doesn’t seem like the full question...
Do you have a picture so I can answer it lol

If p = 5, q = 4, and r = 1, what is the value of p - r ?

a. 3
b. 4
c. 6
d. 1

Answers

The answer is 4

We can replace p with 5 and r with 1, this will lead us with 5 - 1.
b. 4

If p=5 and R= 1 then 5-1=4

Find the standard deviation of the following data. Round your answer to one decimal place. x 00 11 22 33 44 55 P(X

Answers

Complete question :

Find the standard deviation of the following data. Round your answer to one decimal place.

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Answer:

1.833

Step-by-step explanation:

Given the data :

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]

E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2

Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²

Sqrt(8.2 - 4.84) = 1.833

Please help...

Solve using the method of your choice:
[tex]2 {x}^{2} + 3x - 2 = 0[/tex]

Answers

Answer:

x=½, -2

x= 0.5, -2

possibly im not perfect

The Fashion Store has $6000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost $800 a piece, with a maximum of 7 available each month. Approximately 1000 women will see each newspaper ad, 800 will hear each radio ad, and 14,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize exposure?

Answers

9514 1404 393

Answer:

7 TV ads4 radio ads

Step-by-step explanation:

The audience per dollar is ...

  Newspaper: 1000/$200 = 5/$

  Radio: 800/$100 = 8/$

  TV: 14000/$800 = 17.5/$

So, TV gives the greatest exposure. As much of the budget as possible should be spent on TV ads. That amount is the lesser of $6000 and ...

  (7 ads)($800/ad) = $5600

With $5600 spent on TV ads, the remaining advertising budget is ...

  $6000 -5600 = $400

The next most cost-effective medium is radio. The remaining $400 budget allows for ...

  $400/($100/ad) = 4 ads

__

To maximize exposure, the advertising budget should be spent this way:

TV: 7 ads for $5600, exposure of 98000Radio: 4 ads for $400, exposure of 3200

when writing fraction from a graph does the x axis number go on top or bottom​

Answers

Answer:

x ax-s can be horizontal and top

y axis is bottom

Step-by-step explanation:

Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase!

Answers

Answer:

124.35 X 6.75

Step-by-step explanation:

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

What is percentage?

The percentage is the value per hundredth.

It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.

The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

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The product of the number g and the opposite of 7 is equal to k.
Change to an algebraic expression

Answers

answer: -7g = k

explanation: -7 is the opposite of 7
g(-7) = k. Hope this helps. You don’t need brackets by the way you can just say -7g or g times -7 if you want. Hope this helps and a Brainliest would be appreciated

What is 86.929 rounded to the nearest tenth ?

Answers

Answer:

86.9

Step-by-step explanation:

This is because after the decimal point, it goes to the tenths place and then the thousands place, therefore, if you round it, it would be 86.9.

Cualquiera de las dos rectas puede ser la de pendiente 1 o pendiente 2, sólo hay que
conservarla hasta el final de la operación.
BLO
Fórmula que vamos a aplicar:
m-m
1+m-m
tan 0=
Pendiente de la recta 3x - 4y + 8 = 0
Pendiente de la recta 2x + 3y - 23 = 0
Sustitución de datos
tan 0 =
Al realizar la operación de la fórmula se obtiene la tangente del ángulo, por lo que hay
que buscar el inverso de la tangente, que es el valor del ángulo de intersección entre
las rectas dadas.
tan 8 =
El valor del ángulo e es

Answers

Lo siento, no sé español, quizá alguien más te ayudaría

Review the proof of de Moivre’s theorem (not in order).

Proof of de Moivre's Theorem
[cos(θ) + isin(θ)]k + 1
A = [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
B = cos(kθ + θ) + isin(kθ + θ)
C = cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
D = [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
E = cos[(k + 1)θ] + isin[(k + 1)θ]
Which steps must be switched to put the proof in order?

steps B and C
steps B and D
steps C and D
steps C and E

Answers

Answer:

steps B and D

Step-by-step explanation:

the correct chart is below :)

The steps which must be switched to put the proof in order are steps B and D

Since [cos(θ) + isin(θ)]k + 1

= [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1

= [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]

= cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]

= cos(kθ + θ) + isin(kθ + θ)

= cos[(k + 1)θ] + isin[(k + 1)θ]

Since the step after A is [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)] = D, and the step after C is cos(kθ + θ) + isin(kθ + θ) = B.

So, steps B and D must be switched.

The steps which must be switched to put the proof in order are steps B and D.

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Suppose that you roll a die 8 times. What is the probability that you roll a six three or fewer times

Answers

Answer:

0.96

Step-by-step explanation:

Given that the a die is rolled 8 number of times.

[tex]n[/tex] = 8

Probability of getting a 6 on roll of a die,  [tex]p=\frac{1}{6}[/tex]

Probability of not getting a 6 on roll of a die,  [tex]q=1-p=1-\frac{1}{6}=\frac{5}{6}[/tex]

Probability of getting 6 three or fewer times:

[tex]P(r \le 3)=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]

Formula:

[tex]P(r=k)=_nC_k.p^k.q^{n-k}[/tex]

Putting the values using this formula:

[tex]P(r \le 3)=_8C_0.\frac{1}{6}^0.\frac{5}{6}^{8-0}+_8C_1.\frac{1}{6}^1.\frac{5}{6}^{8-1}+_8C_2.\frac{1}{6}^2.\frac{5}{6}^{8-2}+_8C_3.\frac{1}{6}^3.\frac{5}{6}^{8-3}\\\Rightarrow P(r \le 3)=1.\frac{5}{6}^{8}+8.\frac{1}{6}.\frac{5}{6}^{7}+28.\frac{1}{36}^2.\frac{5}{6}^{6}+56.\frac{1}{216}.\frac{5}{6}^{5}\\\Rightarrow P(r \le 3)=0.23+0.37+0.26+0.1=\bold{0.96}[/tex]

Find the values of x and y.

x=

Answers

x = 40°
y = 6

hope this helps!

the function is graphed below. On which interval of X is the average rate of change of the function the greatest?

Answers

Answer:

Between x = 48 and x = 45.

Step-by-step explanation:

Average rate of change of a function in the given interval is represented by,

Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the table attached,

Average rate of change of the function between x = 3 and x = 9

= [tex]\frac{16-7}{9-3}[/tex]

= 3

Average rate of change in the interval x = 9 and x = 22

= [tex]\frac{32-16}{22-9}[/tex]

= [tex]\frac{16}{13}[/tex]

= 1.23

Average rate of change in the interval x = 9 and x = 22,

= [tex]\frac{45-32}{45-22}[/tex]

= [tex]\frac{13}{23}[/tex]

= 0.57

Average rate of change in the interval x = 45 and x = 48,

= [tex]\frac{63-45}{48-45}[/tex]

= 6

Therefore, average rate of change is maximum between x = 45 and 48.

Option given in bottom right will be the answer.

Linearize the data. Then find the least squares regression equation

Answers

Answer:

C

Step-by-step explanation:

Make a table for the function. You will be using your table to graph on the next pro y - 2x + 3 Domain:{-3, -1, 0, 2} х y - 1 0 2​

Answers

[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]

[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]

[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]

[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]

Find the value of x
PLEAASEEE HELP!!!

Answers

Answer:

x = 37

Step-by-step explanation:

4x + 3 + x - 8 = 180

4x + x - 8 + 3 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps!

A criminologist developed a test to measure recidivism, where low scores indicated a lower probability of repeating the undesirable behavior. The test is normed so that it has a mean of 140 and a standard deviation of 40. Suppose an individual is in the 67th percentile in this exam.What is his or her corresponding recidivism score

Answers

Answer:

157.6

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

From the question:

Mean = 140

Standard deviation = 40

Recidivism score = x score = ??

z = z score of 67th percentile = 0.44

Hence,

0.44 = x - 140/40

Cross Multiply

0.44 × 40 = x - 140

17.6 = x - 140

x = 140 + 17.6

x = 157.6

Therefore, his corresponding recidivism score is 157.6

determine the range of the following graph:

Answers

Answer:

(-15)

Step-by-step explanation:

(-7) - 8 = (-15) (Range is the difference between Max and Min Value)

please follow me and mark as brainliest

adult men weights mean of 190 30 3 random men mean weight

Answers

Answer:

is this the question ?

Step-by-step explanation:

What is 40 percent of 50?
1. 20
2. 30
3. 40
4. 10

Answers

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

20

Step-by-step explanation:

40 percent of this number is a small amount

Explain how sample size affects statistical significance.

Answers

Answer:

More formally, statistical power is the probability of finding a statistically significant result, given that there really is a difference (or effect) in the population. ... So, larger sample sizes give more reliable results with greater precision and power, but they also cost more time and money.

Simplify the following expression, 3/8 divided by 1/4

Answers

The correct answer is 1.5 in decimal form but in fraction form it’s 3/2

The required simplified product is 3/2.

Given that fractions  3/8 ÷ 1/4.

To divide two fractions by multiplying the first fraction with the reciprocal of the second fraction.

Let a, b, c and d be any real numbers. Consider a/b ÷ c/d that gives

[tex]\frac{a}{b}[/tex]  ÷  [tex]\frac{c}{d}[/tex] = [tex]\frac{a}{b}[/tex] ×  [tex]\frac{c}{d}[/tex].

That implies, [tex]\frac{3}{4}[/tex]  ÷  [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{8}[/tex] ×  [tex]\frac{4}{1}[/tex] = [tex]\frac{3}{2}[/tex].

Hence, the required simplified product is 3/2.

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Write 310,763,029 expanded form

Answers

Answer:

300,000,000

10,000,000

700,000

60,000

3,000

20

9

Step-by-step explanation:

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