The magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T
Magnetic field inside solenoidThe magnetic field inside the central area of the solenoid is given by B = μ₀ni where
μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A, n = number of turns per unit length = 3,170 turns/m and i = current in solenoid = 6.7 ASince B = μ₀ni
Substituting the values of the variables into the equation, we have
B = μ₀ni
B = 4π × 10⁻⁷ Tm/A × 3,170 turns/m × 6.7 A
B = 4π × 10⁻⁷ Tm/A × 21239 A-turns/m
B = 84956π × 10⁻⁷ T
B = 266897.15 × 10⁻⁷ T
B = 0.026689715 T
B ≅ 0.0267 T
So, the magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T
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The magnitude of the magnetic field in the central area inside the considered solenoid (assuming in vaccum), is approx 2.67 × 10^{-2} T
What is the measurement of the magnetic field inside a long solenoid?Magnetic field = permeability constant x relative permeability x turn density x current
B = [tex]k\mu_0nI = \mu nI[/tex]
where turn density is calculated as:
n = N/L
Where N represents the number of turns of the wire and
L represents the length of the solenoid.
Assuming that the solenoid is placed in vaccum, we have:
[tex]\mu = k\mu_0 = \mu_0 = 4\pi \times 10^{-7} \: \rm T m/A[/tex]
And it is given that:
n = 3174 turns/mI = 6.7 amperesThus, we get:
[tex]B = \mu n I = 4\pi \times 10^{-7} \times 3170 \times 6.7 \approx 2.67 \times 10^5 \times 10^{-7} \\\\B = 2.67 \times 10^{5 + (-7)}B = 2.67 \times 10^{-2} \: \tm T[/tex]
Thus, the magnitude of the magnetic field in the central area inside the considered solenoid (assuming in vaccum), is approx 2.67 × 10^{-2} T
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What is X equal to in this?
x / 33 = 40 / 24
x = 40 / 24 * 33 = 55
Name the image of C(6, –4) under a rotation 90 counter-clockwise about the origin.
a. C(–4, –6)
b. C(6, 4)
c. C(–6, –4)
d. C(4, 6)
3/5 - 4 - x=0 i need hlp with this
Is (2, 8) a solution to the equation y = 6x?
Is (2, 8) a solution to the equation y = 6x?
Answer:
No.
Step-by-step explanation:
Substitute 2 for x and 8 for y in y=6x
8 = 6(2) -> 8 = 12
This is false, so (2,8) is not a solution for y=6x
How many degrees are in 25π18?
Answer:
[tex]\displaystyle 250°[/tex]
Explanation:
When converting from radians to degrees, multiply one hundred eighty by the radian measure, then divide it pi:
[tex]\displaystyle \boxed{250°} = 1\frac{7}{18}\pi[\frac{180}{\pi}][/tex]
I am joyous to assist you at any time.
What is the rule and how do you find n? 100 points to answer!
Answer:
n = 17
Rule: y = 2x + 1
Step-by-step explanation:
By inspection of the first two ordered pairs in the given table, it appears that for each 1 unit increase in x, y increases by 2 units.
To check this, write the ordered pairs with 5 ≤ x ≤ 10 using this rule:
(5, 11) (6,13) (7, 15) (8, 17) (9, 19) (10, 21)
As the ordered pair (10, 21) appears in the table, then we can confirm that this is the rule and that it is a linear function.
If y increases by 2 units for every 1 unit increase of x, then the slope of the linear function will be 2.
Using the point-slope form of a linear function: [tex]\sf{y-y_1=m(x-x_1)}[/tex]
(where m is the slope and [tex]\sf(x_1,y_1)[/tex] is a point on the line)
Given:
m = 2[tex]\sf(x_1,y_1)=(5,11)[/tex]Substituting these values into the formula:
[tex]\implies \sf{y-11=2(x-5)}[/tex]
[tex]\implies \sf y=2x+1[/tex]
Therefore, the rule is [tex]\sf y=2x+1[/tex]
To find n, simply substitute x = 8 and y = n into the equation:
[tex]\implies \sf n=2(8)+1=17[/tex]
Therefore, n = 17
Take 2 points and form equation
(5,11)(6,13)Slope:-
m=13-11/6-5=2Equation in point slope form
y-11=2(x-5)y-11=2x-10y=2x+1So
for n
n=2(8)+1n=16+1n=1740% of 400- how to solve please (thanks
Step-by-step explanation:
What is 40% of 400?
Convert the problem to an equation using the percentage formula: P% * X = YP is 40%, X is 400, so the equation is 40% * 400 = YConvert 40% to a decimal by removing the percent sign and dividing by 100:40/100 = 0.4Substitute 0.10 for 10% in the equation: 40% * 400 = Y becomes 0.4 * 400 = YDo the math: 0.4 * 400 = 160Y = 160So 10% of 150 is 160Double check your answer with the original question: What is 40% of 400? Multiply 0.4 * 400 = 160Over a season in a women's basketball league Jackson scored 42 more points than the second-highest scorer, Leslie. Together, Jackson and Leslie scored 1144 points during the season. How many points did each player score
over the course of the season?
First, you know that Jackson (let call her J) scored 42 more points than L (Leslie). What we don't know is how many points L scored so we can use a variable that will be 'x'.
So the equation will be J=42+x.
We also know that the total points is 1,144.
To find out what x is we first subtract 1,144-42. We then get 1,102.
We are now left with 2x and 1,102 so we divide 1,102 by 2 and get 551.
551=x so now we can plug that in.
J = 551 + 42
Jackson scored 593 points and Leslie scored 551 points
(You can use bar modeling to do solve this problem. An example of bar modeling is shown below.
Ben runs 3/4 mile each day.How many Miles Does ben run in 12 days
Answer:
9 miles
Step-by-step explanation:
0.75x12=9
or
75x120=90
90/10=9
If Ben runs 3/4 mile each day than he runs 9 miles in 12 days.
To find out how many miles Ben runs in 12 days
we need to multiply the distance he runs each day (3/4 mile) by the number of days (12).
First, let's convert 3/4 mile to a decimal:
3/4 mile = 0.75 mile
Now, we can calculate the total distance Ben runs in 12 days:
0.75 mile × 12 days
= 9 miles
Therefore, Ben runs 9 miles in 12 days.
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Triangle A′B′C′ is the image of triangle ABC after a dilation.
What is the scale factor of the dilation?
Answer:
3
Step-by-step explanation:
could the length of the first triangle to the length of the second triangle
How do you change a radical expression into an expression with radical exponents
Step-by-step explanation:
The answer is in the picture
Roald's annual salary is $100 482. If Roald gets paid monthly, calculate his monthly income.
/1
James has a job that pays him $24 per hour. Assume a working week of 38 hours. Assume
X/6 + 5 = 25
Solve the variable in the equation
Answer: 120
Step-by-step explanation:
x/6 + 5 =25, subtract 5 on both sides
-5 -5
x/6 = 20, multiply both sides by 6
6(x/6) = 20(6)
x = 120
A sample of computer tablet batteries has a mean battery life of 28 months and standard deviation of 4 months. What is the lifespan of batteries that are within the given standard deviation of the mean?
1. 1 Standard deviation
2. 2 Standard deviation
3. 3 Standard deviation
Using the Empirical Rule, it is found that the lifespans, in months, are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
What is the Empirical Rule?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
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A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. A rectangle is shown. The length of the top and bottom sides is 23 meters. The length of the left and right sides is 15 meters. A vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. Lines are drawn from the bottom left point to the top of the vertical line and from the bottom right point to the top of the vertical line. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21. 2 m 27. 5 m 32. 5 m 38. 2 m.
Approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.
What is Pythagoras theorem?Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.
A 15-meter by 23-meter garden is divided into two sections. In this rectangle,
Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. The length of the top and bottom sides is 23 meters. The length of the left and right sides is 15 meters.Here, a vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. The length of the left side of the square will be 15 long. Thus, the lenght of its diagonal is,
[tex]d_1=15\sqrt{2}\\d_1=21.213\rm\; m[/tex]
The length of the sidewalk in smaller rectangle in the right side of figure is,
[tex]d_2=\sqrt{15^2+8^2}\\d_2=17\rm\; m[/tex]
Sum of the lengths of the two sidewalks using the pythagoras theorem is,
[tex]S=21.2+17\\S=38.2\rm\;m[/tex]
Thus, approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.
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Answer:
D 38.2
Step-by-step explanation:
E2020
HELP PLEASE
30 POINTS + BRAINLYEST!!!!!
(no links please)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use pi = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Cone:
radius r = 4 inches
height h = 18 inches
volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³
Cylinder:
r = 4 inches
h = 3 inches
volume = πr²h = (3.14)(4²)(3) = 904.32 cm³
Volume of cylinder is three times the volume of cone
Use the graph of triangle JKL to answer a-b.
a.Reflect JKL over the x-axis. Record the coordinates of the original and new image below.
Pre Image: J:_____ K:_____
L: ______
Now Image: J:______ K:______
L:_______
b. Describe what happened to the x and y coordinates once they were reflected.
*ignore the erasing marks and the lines ^^
After reflection, the x-coordinates remains unchanged while the y-coordinates are negated.
Reflection of coordinates over the xy axisThe translation rule for reflecting the coordinate (x, y) over the x-axis is expressed as:
[tex](x, y) \rightarrow (x,-y)[/tex]
Given the following coordinates of the vertices from the figure J(-7, 7), K(-5, -2) and L(-2, 3)
If the coordinates ara reflected over the x-axis, the resulting coordinates will be J(-7, -7), K(-5, 2), and L(-2, -3).
After reflection, the x-coordinates remains unchanged while the y-coordinates are negated.
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Use any method to solve the system:
y = 3x - 10 and y=2x-5
Answer:
x=5
y=5
y = 3x - 10 -----------(1)
y=2x-5------------(2)
Step-by-step explanation:
put the value of y in 2nd equation
y=2x-5
=3x - 10=2x-5
=3x-2x=-5+10
= x=5,
now put the value of x in 1st equation.
y = 3x - 10
=y=3×5-10
=y=15-10
= y=5.
check
put the value of x and y in 1st equation.
y = 3x - 10
x=5,,y=5
=5=3×5-10
= 5=5
hope it's help you
:-befrank
find the missing side of the parallelogram. keep answer in simplest form
Area of parallelogram is Base×height
10×18=15× x
x= 12
hope it helps
Answer:
x = 12
Step-by-step explanation:
So, area of a parallelogram is base times height.
In this picture, one of the base, height pair is 18 and 10.
18 * 10 = 180
The other base, height pair is 15 and x.
So, 15 and x should equal to 18 * 10.
Then, 15x = 180.
Divide both sides by 15, and you get 15x/15 = x and 180/15 = 12.
So, x = 12
After several years of working, Katy has saved $125,000. If she invests that $125,000 in a savings fund that adds 4% each
year, about how much will her savings account have after15 years? For this question, ignore compounding and taxes, and
assume Katy does not put additional money into savings.
A $185,000
(B) $200,000
C $190,000
(D) $175,000
Question 16
10 Points
Answer:
(B) $200,000
Step-by-step explanation:
The value of the simple interest account can be found using the formula ...
A = P(1 +rt) . . . . . where P is the principal invested at rate r for t years
__
Using the given values, we find the value of the account to be ...
A = $125,000(1 +0.04×15) = $125,000(1.6)
A = $200,000
Katie's savings will be worth $200,000 after 15 years.
Nguyen wants to buy a tire that normally costs $86.25. It is currently on sale for $84 25. What is the percentage discount? Round your answer to the nearest tenth.
Percentage discount
[tex]\\ \rm\rightarrowtail \dfrac{2}{86.25}{100}[/tex]
[tex]\\ \rm\rightarrowtail 0.0232(100)[/tex]
[tex]\\ \rm\rightarrowtail 2.32\%[/tex]
Answer:
2.3% (nearest tenth)
Step-by-step explanation:
[tex]\sf percentage \ change =\dfrac{|final \ value - initial \ value|}{initial \ value} \times 100\%[/tex]
Given:
initial value = 86.25final value = 84.25[tex]\sf \implies percentage \ change =\dfrac{|84.25-86.25|}{86.25} \times 100\%[/tex]
[tex]\sf \implies percentage \ change =\dfrac{2}{86.25} \times 100\%[/tex]
[tex]\sf \implies percentage \ change =2.3\% \ (nearest \ tenth)[/tex]
Help in this question if you are able to .solve it
This question is asking for the y-intercept. The y-int is when x = 0.
First, plug in x as 0...
y = 3(0) + 5
y = 0 + 5
y = 5
Lines come in the form y = mx + b
m is slope, b is the y-intercept
someone help me out please Extra points please!
Answer:
4.2
Step-by-step explanation:
The square root of 18 is 4.24
So, on this number line, it should go about 1 cm away from 4 to indicate that it is not 4, but 4.2.
Put the dot where you think it would be appropriate to be labled as 4.2.
Also if you didnt know the x axis is the one on the bottom.
i need help smh..anyways can someone help me? like asap-
Answer: x<-1
Step-by-step explanation:
The answer is A!
Answer:
See below.
Step-by-step explanation:
Solving the inequality :-
18 < -3(4x - 2)18 < -12x + 612 < -12x-1 > xx < -1Graph A shows the solution to the inequality correctly
PLEASE HELP!! 50 POINTS!!
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x = 35.20735
Step-by-step explanation:
Use tanФ = opposite/adjacent
tan58 = x/22
x = 35.20735
A equals 10. Find the measure of ZWY
Answer:
8a-9=7a+1 (inscribed angle are equal standing on the arc)
8a-7a=1+9
a=10
PLEASe help!!! hurrry!!
Answer:
x is 6 degrees
Step-by-step explanation:
so its 90 degress, how do i know? because it is parrallel to the one with a half square (the 90 degrees) so we equal the angels to 90 because they are equal to 90 (sorry if it sounds confusing, if you want i can still explain more later)
7x + 8x = 90
15x = 90
x = 90/15
x = 6
Answer:
See Below.Explanation:
Both the angles lie inside a right angle, whose total sum is 90 degrees.
Solve:
7(x) + 8(x) = 90°15(x) = 90°x = 6°Each of the angle:
7(x) ⇒ 7(6) = 42°8(x) ⇒ 8(6) = 48°
Jill bought 3 pints of blueberries for $3.02 each. What is the best estimate of how much Jill spent
Answer: 9.06
Step-by-step explanation:
Do; 3.02+3.02+3.02
This adds up to 9.06
How can (xy)/(x+y) be simplified?
Answer:
xy
---------
x + y
Step-by-step explanation:
(xy)
----- is in its simplest form.
(x + y)
I hope this helps!
GIVING BRAINLIEST AND 30 POINTS TO BEST ANSWER!! REMEMBER, FOLLOW DIRECTIONS. YOU CAN DO IT! :D
Answer:
2 3 4 5 6 7 8 9 10
Step-by-step explanation:
even odd even odd even odd even odd even odd