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
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]
To know more about Flux click the link given below.
https://brainly.com/question/5932170
Which unit of measurement would be the most appropriate to measure a bottle of nail polish
Answer:
milliliter
Step-by-step explanation:
Most of nail polish have their measurement in ml
Which of the following cities does NOT rely on lumber for its economy?
Write the equation in slope intercept form: 3x - 4y = 8*
Answer:
the answer is y=[tex]\frac{3}{4}[/tex]x-2
Step-by-step explanation:
The equation 3x - 4y = 8 written in slope-intercept form as y = (3/4)x - 2.
To write the equation 3x - 4y = 8 in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, to isolate y on one side of the equation.
Starting with the given equation:
3x - 4y = 8
First, let's subtract 3x from both sides of the equation to isolate the y term:
-4y = -3x + 8
Next, divide both sides of the equation by -4 to solve for y:
y = (3/4)x - 2
Now the equation in slope-intercept form. The slope is 3/4, and the y-intercept is -2.
To know more about equation here
https://brainly.com/question/29657983
#SPJ6
The administration at a high school wants to conduct a survey of student opinion. Administrators want to begin with a simple random sample of 100 students. Which of the following survey methods will produce a simple random sample? (4 points)
A-Survey the first 100 students to arrive at school in the morning
B-Survey every 10th student entering the school gym until 100 students are surveyed
C-Use random numbers to choose 25 each of freshmen, sophomores, juniors, and seniors Number the gym seats. Use a table of random numbers to choose seats and interview the students until 100 have been interviewed.
D- Number the students on the school roster.
E-Use a table of random numbers to choose 100 students from this roster for the survey.
Answer:
C
Step-by-step explanation:
Each year will have 25 student
Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?
Answer: 157.19
Step-by-step explanation:
I'm confused on how to find x
Answer:
x = 2
Step-by-step explanation:
Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be [tex]\sqrt2[/tex].
We can then solve for x using the Pythagorean theorem:
[tex]\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2[/tex]
Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be [tex]\sqrt2[/tex] times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.
QUICK plzzzz. Don’t worry about the other questions just plz answer 17 for me :)
Answer:
a) Vf = at + Vi
b) 10 m/s
Step-by-step explanation:
Part A:
first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi
now bring the Vi over to the other side and flip the sign: at + Vi = Vf
this can be rewritten as Vf = at + Vi
Part B:
substitute the numbers: Vf = (2)(3) + 4
solve to get: Vf = 10 m/s
-1/2(6t+2)?simplify the expressions by disturbing the negatives and combining like terms
Answer:
-3t-1
Step-by-step explanation:
Math To Do, i-Ready X G isabella belongs to a fitness club X + student/dashboard/home sabella belongs to a fitness club. She paid an initial fee of $50 when she joined and also pays $10 per month. Since becoming a member of the fitness club, Isabella has paid a total of $240. Use the drop-down menus to complete the statements about the length of time that Isabella has been a member of the fitness club. Click the arrows to choose an answer from each menu.
The equation Choose can be used to determine the value of the number of months Isabella has been a member of the fitness club. She has been a member of the fitness club for Choose months.
Answer: 19 months
Step-by-step explanation:
given data:
amount paid initially when joining the club = $50.
monthly payments made = $10.
total amount paid since joining the club = $240.
Solution:
= 10X + 50 = 240
collect like terms
= 10X = 240 – 50
10X = 190
divide both sides by 10
10X/10 = 190/10
X = 19
isabella has been a member of the club for 19 months.
Find the area of the triangle
On October 1, 2018 stokes company paid Eastport Reynolds $4800 for a 12 month lease, deferal
Answer:
phototmathbdbdjsknaisjdbxiehevdixjbwjwosjznaksojxbwjs
Find the value of f'(4) when
f(x)=5/3x^3/2+8x^1/2
Look at the coordinate graph.
Which point has coordinates (5, 4)?
Which point has coordinates (-5, -4)?
Which point has coordinates (5, -4)?
Which point has coordinates (-5, 4)?
Answer:
B = (5,4), C = (-5, -4), D = (5, -4), A = (-5, 4)
Step-by-step explanation:
look at x axis first (horizontal), then y axis (vertical)
The coordinates of the points are:
Point A is at (-5, 4)Point B is at (5, 4)Point C is at (-5, -4)Point D is at (5, -4)How to identify the points?Remember that for a point (x, y), we need to count x units on the horizontal axis, and y units on the vertical axis.
With that in mind, we can see that:
Point A is at (-5, 4)Point B is at (5, 4)Point C is at (-5, -4)Point D is at (5, -4)Now, answering the questions:
Which point has coordinates (5, 4)?
Point B
Which point has coordinates (-5, -4)?
Point C
Which point has coordinates (5, -4)?
Point D
Which point has coordinates (-5, 4)?
Point A.
If you want to learn more about coordinates, you can read:
https://brainly.com/question/17206319
#SPJ2
Keri has a spinner with sections labeled Black,
Blue, Orange, and Purple. What is the
theoretical probability of Keri spinning the
spinner and landing on blue or black?
Answer:
50%
Step by step explanation
100 divided by 4 is 25
Since it is both blue and black, it is doubled from 25 to 50
What’s the perimeter of a square with a side of 9 cm
Answer:
32
Step-by-step explanation:
9+9+9+9 is 32 so thats your answer because all sides on a square are equal
Answer:
[tex]\boxed {\tt 36 \ centimeters}[/tex]
Step-by-step explanation:
The perimeter is the sum of all the side lengths and a square has 4 equal sides.
The perimeter of a square can be found by adding the side length 4 times or multiplying the side length by 4.
[tex]p=4s[/tex]
The side length is 9 centimeters.
[tex]s= 9 \ cm[/tex]
Substitute the value into the formula.
[tex]p=4(9 \ cm)[/tex]
Multiply
[tex]p= 36 \ cm[/tex]
The perimeter of a square with a side length of 9 centimeter is 36 centimeters.
How many times greater is the value of the 8 in 38,900 than the value of the 8 in 57,080
it is 100 times greater because it is two places higher than 57,080
What is the equation of the line that passes through the point (-6,-7)(−6,−7) and has a slope of 0?
Answer:
y = -7
Step-by-step explanation:
The equation of a line is:
y = mx + b where m = slope
To find b, plug in a point and solve.
(-6,-7)
y = mx + b
-7 = 0(-6) + b
- 7 = 0 + b
-7 = b
So the equation is:
y = 0x + b or
y = -7
No matter what you plug into x, y = -7, because your slope is 0.
The equation of the line that passes through the point (-6,-7) and with slope 0 is [tex]y=-7[/tex].
Point through which the given line passes ≡ (-6,-7)
The slope of the line =0
What is the equation of a straight line?The equation of a straight line passing through the point (x₁, y₁) is given by: [tex]y-y_1 =m(x-x_1)[/tex]
where m is the slope of the line.
So, the equation of the line that passes through the point (-6,-7) and with slope 0 will be:
[tex]y-(-7) = 0(x-(-7))[/tex]
[tex]y+7 =0[/tex]
[tex]y =-7[/tex]
So, the required equation of the line is y=-7.
Therefore, the equation of the line that passes through the point (-6,-7) and with slope 0 is [tex]y=-7[/tex].
To get more about straight lines visit:
https://brainly.com/question/26089585
the function is graphed below. On which interval of X is the average rate of change of the function the greatest?
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.
7n - 8n - 323
????????????
Answer:
−n−323
Step-by-step explanation:
There are 27 students in a class one third of the students are boys how many students are girls
Answer:
18 students are girls.
Step-by-step explanation:
Answer: The answer would be 18 girl students
Step-by-step explanation:
If one 3rd of the students are boys, divide 27 by 3 and you get 9, 9 times 2 equals 18, the other nine students are the boys, while there are 18 girls.
The measured height, in feet, of an airplane at certain times, in minutes, after takeoff can be modeled using the regression equation y = StartFraction 29,864 Over 1 + 9.381 e Superscript negative 0.9948 x Baseline EndFraction. To the nearest hundred feet, what is the predicted height of the airplane after 18 minutes?
Answer:
29900 ft
Step-by-step explanation:
just plug in 18 for x
A function assigns the values. The predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The measure of the height of an airplane at a certain time is given by the function,
[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}[/tex]
where x is the time in minutes and y is the height of the airplane.
Now, the height of the plane after 18 minutes post takeoff can be calculated by substituting the value of time, x as 18 in the function.
[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-0.9948 \times 18}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}[/tex]
[tex]y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}\\\\y = \dfrac{29,864 }{1+(9.381 \times 1.6724 \times 10^8)}\\\\y = \dfrac{29,864 }{1+(1.5689 \times 10^8)}\\\\y = \dfrac{29,864 }{1.000000157}[/tex]
y = 29864 ft
Hence, the predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
what is the product of the complex number 3-4i and 6+I where I =-1
Answer:
15-20i
Step-by-step explanation:
Hello,
When l =-1
6+l = 6-1 = 5
and 5(3-4i)=15-20i
Thanks
Simplify the expression given below x-3/x-1 + 6/x-3 . A. B. C. D.
Answer:
= x^2 + 3 / (x-1)(x-3)
Step-by-step explanation:
Adjust fractions based on the LCM:
= (x-3)^2 / (x-1)(x-3) + 6(x-1) / (x-3) (x-1)
Combine the fractions (equal denominators):
= (x-3)^2 + 6(x-1) / (x-1) (x-3)
Expand:
x^2 + 3 / (x-1)(x-3)
Answer:d
X^2+3\(x-1)x-3)
Step-by-step explanation:
On Plato
Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of
adiacent angles formed a straight line. What can he conclude from this observation? Select one
that applies.
Answer:
The two angles are supplementary
Step-by-step explanation:
Not sure if this is an option, but it would make sense with the question
The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.
The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.
The diagram is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
The quanities x and y are proportional Find the constant of proportionality (r) in the equation y= rx
CORRECT ANSWER = BRAINLEIST
Answer:
5
Step-by-step explanation:
7*5=35
12*5=60
20*5=100
Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide. How much fencing will he need?
Answer:
he need 84
Step-by-step explanation:
12* 7
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
please mark me brainliesttt
Answer:
38 feet
Step-by-step explanation:
Find the perimeter:
12 + 7 + 12 + 7 = 24 + 14 = 38 feet of fencing
simplify 12x⁵y² ÷ 3x²y
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
The shapes below are similar. What does x have to be?
Debbie sells yard art at the local craft show. Each items sells for $15. It costs her $8 to make each item and $25 for her booth fee. Which inequality shows how many items she needs to sell in order to make a profit?
15x > 8(x + 25)
15x > 8x + 25
15x > 8 + 25x
15x < 8x + 25
Answer: 15x > 8(x + 25)
that is what i think i am not very good a math sorry
Step-by-step explanation:
Answer:
15x > 8(x + 25)
Step-by-step explanation:
I think this is the answer
Dustin surveyed 50 students at his school about their music preferences. The results are in the table.
Music Preference Survey
Type of Music
Hip-Hop- 18
Country- 13
Rock- 11
Other- 8
There are a total of 722 students at Dustin’s school. Based on the survey results, which is the best estimate of the number of students who prefer hip-hop music?
A. 180 students
B. 240 students
C. 260 students
D. 405 students
Answer:
240
Step-by-step explanation:
260 students prefer hip-hop music.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
According to Dustin Survey Hip hop music liked by 18 out of 50
In percentage we can write
x% of 50= 18
50x /100 = 18
x/2 = 18
x= 36%
So, Out of 722 students number of students who prefer hip-hop music
= 36% of 722
= 36/100 x 722
= 260
Hence, 260 students prefer hip-hop music.
Learn more about percentage here:
https://brainly.com/question/29306119
#SPJ6