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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Assuming that k is a nonnegative integer and m = 2k, what value is returned as a result of the call mystery (m) ?
The result of the recursive function mystery (m) is k.
How to analyze a recursive algorithm
In computer science, functions are collections of code that can be used and re-utilised in greater codes. Functions are formed by inputs, a procedure and an output.
In this question we must analyze a recursive function, recursive functions are functions that creates a loop with the function itself, that is, the function uses itself as an output, until desired output is done.
After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k. [tex]\blacksquare[/tex]
RemarkThis is a Computer Science problem, whose complete statement is described below:
Consider the following recursive method:
public static int mystery (int n)
{
if (n <= 1)
{
return 0;
}
else
{
return 1 + mystery(n/2);
}
}
Assuming that k is a nonnegative integer and m = 2ⁿ, what value is returned as a result of the call mystery (m)?
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The result of the recursive function mystery (m) is k.
How to analyze a recursive algorithm?In computer science, functions are collections of code that can be used and re-utilized in greater codes. Functions are formed by inputs, a procedure, and an output.
In this question we must analyze a recursive function, recursive functions are functions that create a loop with the function itself, that is, the function uses itself as an output until the desired output is done.
After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k.
Consider the following recursive method:
public static int mystery (int n)
{
if (n <= 1)
{
return 0;
}
else
{
return 1 + mystery(n/2);
}
}
Hence, the result of the recursive function mystery (m) is k.
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hegarty maths help asap please
Answer:
10.3 cm
Step-by-step explanation:
By sine rule
[tex] \frac{x}{ \sin \: 50 \degree} = \frac{13}{ \sin \: 75 \degree} \\ \\ \implies \: x = \frac{13\sin \: 50 \degree}{\sin \: 75 \degree} \\ \\\implies \: x = \frac{9.9585777605}{0.9659258263} \\ \\ \implies \: x = 10.3098783\\\\\implies \: x = 10.3\: cm[/tex]
The height of a building in a drawing is 15 inches if the actual height of the building is 165 feet find the scale factor of the Drawing
Answer:
The scale is 11 feet per one inch.
Step-by-step explanation:
[tex]\frac{165feet}{15inches} = 11feet / inch[/tex]
The point (-5, 6) is on a circle with a center (-1, 3).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.
Step-by-step explanation:
The distance from the radius to a point on the circle is equal to the radius. After using the distance formula, we get that the radius is 5.
Using the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2, we get that the equation is:
(x+5)^2 + (y-6)^2 = 25
Decrease £19064.67 by 9.5%
Answer:
£17,253.53
Step-by-step explanation:
9.5% of 19,064.67 is 1,811.14 (rounded to the nearest hundredth.)
Subtract 1,811.14 from 19,064.67, and this will give you 17,253.53. This is a 9.5% decrease.
Point c is the center of dilation. line segment b a is dilated to create line segment b prime a prime. the length of c a is 4. the length of a a prime is 16. what is the scale factor of the dilation of line segment ba? one-fifth one-fourth 4 5
The scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
Point c is the center of dilation. Line segment BA is dilated to create line segment b prime, a prime. The image of the given problem is attached below. The length of CA is 4.
[tex]CA=4[/tex]
The length of a prime is 16.
[tex]AA'=16[/tex]
The new dimension will be,
[tex]CA'=CA+AA'\\CA'=4+16\\CA'=20[/tex]
Now, the scale factor is the ratio of the new dimension to the original dimension. Thus, the scale factor of the dilation is,
[tex]r=\dfrac{20}{4}\\r=5[/tex]
This will be the same for the line segment BA. Thus, the scale factor of the dilation of line segment ba for which the center of dilation is C, is 5.
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Answer:
the answer is 5
Step-by-step explanation:
D
200 dabloon bitcoins
Answer:
3b. [tex]\displaystyle 10; Mental\:Mathematics[/tex]
3a. [tex]\displaystyle \frac{5}{8} \times 16[/tex]
Explanation:
Dividing a mixed number\fraction is in similarity to multiplying its multiplicative inverce, which is what you see in the above answer. However, I did not figure it out this way. I did this:
[tex]\displaystyle \boxed{10} = \frac{5}{\frac{1}{2}} \Rightarrow \boxed{10} = \frac{5}{8} \div \frac{1}{16}[/tex]
Either way is fine, as long as you know what you are doing.
I am joyous to assist you at any time.
find the percentage profit in each case cost price 500 selling price 550
Answer:
0.1 or 10%
Step-by-step explanation:
Cost: 500
Sell: 550
550-500 = 50
50/500 = 0.1 OR 10%
Therefore, the percentage profit for each sale is 10% of the original wholesale price.
Answer:
10%
Step-by-step explanation:
profit=buyingpirce _selling price
550_500=50
%profit=profit\buyingprice×100
50\500×100=10%
The rent for an apartment is $800 per month. The landlord charges one month's rent as a deposit plus a nonrefundable damage cost of $250.
The expression 800(n + 1) + 250 represents the cost of the renting the apartment for n months. Write the expression in simplified form.
please help me i have a test tmr
Answer:
800n+1050
Step-by-step explanation:
800(n+1)+250 = 800n+800+250 = 800n+1050.
Hope this helps!
Good luck with your test + I hope you do well on it.
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HELP!!
Find the mistake: Use the picture to find the diagonal of
the television. Look at the student’s work and solution.
Identify the error, solve the problem. Then share a
strategy this student could use to prevent this error again.
Answer:
It is actually very simple:
Notice that they don't actually do the square of 49 and 64. For some reason, they do the square root of the values without squaring them. If we were to do it in the right way, the answer would be:
[tex]49^{2} +64^{2} = c^{2}[/tex]⇔ 2401+4096 = [tex]c^{2}[/tex] ⇔ 6497 = [tex]c^{2}[/tex] ⇔ [tex]\sqrt{6497}[/tex] = [tex]\sqrt{c^{2} }[/tex] ⇔ 80,6 ≈ c
I believe this is the answer. I hope I had helped :)
Bronson earns $625 per week at his job. How much does he earn annually?
please help
Part A
The maximum angle of elevation for a ramp designed to be safe for a motorized wheelchair is 7.1°.
Is the ramp at the local library safe for motorized wheelchairs? Explain your answer.
Answer: Not safe
Step-by-step explanation:
Let the angle of elevation of the ramp be θ, then:
[tex]\begin{aligned}&\sin \theta=\frac{1.5}{10}=0.15 \\&\theta=\sin ^{-1}(0.15) \approx 8.63^{\circ}\end{aligned}[/tex]
But the maximum angle for the ramp cannot exceed 7.1°. The calculated angle of elevation will make it difficult, if not impossible, for motorized wheelchairs to get up the ramp.
Therefore, the ramp at the local library is not safe for motorized wheelchairs
A total of 275 people took a driving theory test on Monday. Of these people, 68% passed the test.
a) (i) What percentage of people who took the test on Monday did not pass the test?
(ii) How many of the 275 people who took the test on Monday passed the test?
Answer:
a. 32%
B.8B.88
Step-by-step explanation:
100 -68=32%
32/100=x/275
100x=8800
x=88
Find the Area of the shaded part.
To find the area of the shaded part we have to subtract the rectangle area from the triangle area :
[tex]s = \frac{1}{2} \times (8x + 2)(6x) - (x)(3x + 1) \\ [/tex]
[tex]s = \frac{1}{2} \times (48 {x}^{2} + 12x) - (3 {x}^{2} + x) \\ [/tex]
[tex]s = \frac{48}{2} {x}^{2} + \frac{12}{2} x - 3 {x}^{2} - x \\ [/tex]
[tex]s = 24 {x}^{2} + 6x - 3 {x}^{2} - x[/tex]
[tex]s = 24 {x}^{2} - 3 {x}^{2} + 6x - x[/tex]
[tex]s = 21 {x}^{2} + 5x[/tex]
And we're done
Have a great day ♡
Four friends went to a basketball game. Each ticket
cost $80 and all four friends bought jerseys
for $15 each.
a. What does the expression 4(80 + 15) represent?
Explain in words.
b. Evaluate the expression in question 1.
c. Evaluate the expression 4.80 +4. 15. What do
you notice?
Answer:
a) four friends bought each ticket for $80 and also
bought a Jersey for $15
b) 4(95)
= 380
c) 8.95 - the answer is in decimal
Which of the following is a defined term?
Angle
Line
Point
Plane
Answer:
C. Point is a defined term
Step-by-step explanation:
kleann
Harold randomly selected one square tile and one round tile from the sets shown below. what is the probability that harold selected a pink square tile, and either a red or a blue round tile? square tiles: 20 green, 16 pink, 9 red, 10 yellow, 5 blue.round tiles: 5 black, 4 pink, 9 red, 6 blue, 3 yellow, 8 green, 1 white. a. 3/5 b. 14/60 c. 1/9 d. 4/45
The probability that Harold selected a pink square tile, and either a red or a blue round tile is 1/9.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Considering the selections are independent, their combined probability is the product of the probabilities of the individual events.
P(pink square) = (pink squares) / (squares) = 16/60 = 4/15
P(red or blue round) = (red or blue rounds) / ( rounds) = 15/36
Then, the Total probability
P(E) = (4/15)(15/36)
P(E) = 4/36
P(E) = 1/9
So, the probability that Harold selected a pink square tile, and either a red or a blue round tile is 1/9.
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Answer:
Harold randomly selected one square tile and one round tile from the sets shown below. What is the probability that Harold selected a pink square tile, and either a red or a blue round tile?
Square tiles: 20 green, 16 pink, 9 red, 10 yellow, 5 blue.Round tiles: 5 black, 4 pink, 9 red, 6 blue, 3 yellow, 8 green, 1 white.
a.
3/5
b.
14/60
c.1/9 <<<CORRECTd.
4/45
Step-by-step explanation:
Edge 2022
what’s the lengths of the sides using pythagoras
Answer:
height and the base your take height you square it then you square the base then you -
Using GEMDAS, what is the simplified form of this expression?
63 x 4 = 2x2=3 - 17
A video posted on the internet is becoming very popular, and the total number of views is increasing by 20% every hour. If the video currently has 71,000 views, how many views will it have in 9 hours?
Answer:198000 maybe
Sorry if it’s wrong
HEELPPPP ILL GIVE BRAINLIEST
Billy invested $1000.00 into a savings account on the day his daughter was born. The money is being saved for her college tuition. Billy leaves the money in a savings account until his daughter's 18th birthday. The account earned a simple interest rate of 6.925%. What is the total amount in the account?
Answer:
Let the amount invested at 3% = x
Let the amount invested at 6% = y.
From the total amount invested, we get this equation.
x + y = 18
Now we look at the interest earned.
The 3% account earns 0.03x
The 6% account earns 0.06y
5% on the entire amount is 0.05 * 18 = 0.9
This gives us the second equation.
0.03x + 0.06y = 0.9
Now we have a system of 2 equations in 2 unknowns.
x + y = 18
0.03x + 0.06y = 0.9
Solve the first equation for y:
y = 18 - x
Replace 18 - x for y in the second equation.
0.03x + 0.06y = 0.9
0.03x + 0.06(18 - x) = 0.9
0.03x + 1.08 - 0.06x = 0.9
-0.03x + 1.08 = 0.9
-0.03x = -0.18
x = 6
Answer: He invested $6 at 3%
Given one of the interior angles of the hanger, find the measures of angles A and B.
Answer:
A= 130
B= 25
Step-by-step explanation:
A is 130 because the amount of degrees that are in a triangle is 180 degrees. From that we can substract 25 from 180 and get 155.
Since B is congruent with 25, B is also 25 degrees. Therefore, A is 130 because 180 - 50 is 130.
Hope this helps.
Please help! : )
What are the two acute angles?
23.-28. In a manner similar to Example 1, (a) identify input and
output consistent with the general proportional model; (b) write
an equation for the model; (c) determine a numerical value for the
constant k; and (d) solve the problem.
23. The maximum distance that you can see from the top of a tall
building is (directly) proportional to the square root of the
height of the building. You can see approximately 41 mi from
the Canadian National Tower lookout level, which is 1,135 ft
tall. How far can you see from the top of the Sears Tower in
Chicago (now the Willis Tower), which is 1,454 ft tall?
23. How far can you see from the top of the sears tower in Chicago, which is 1,454 ft tall?
The distance I can see from the top of the sears tower in Chicago is 46.41 mi.
How far can you see the from the top of the Sears Tower?The equation for direct proportionality = y = b√x
where:
y = dependent variable = distance you can seeb = constantx = independent variable = square root of the height of the building.b = y /√x
41 / √1135
b = 1.217
y = 1.217√1454
y = 46.41 mi
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Abigail had a fish tank that was in the shape of a box. The dimensions were 12 inches deep by 24 inches wide by 18 inches tall. How many cubic inches of water will it take to completely fill the tank?
Show your work
If and , which expression is equivalent to ?
A.
B.
C.
D.
HELP ME PLEASE!!! I cant do this and it is due in 10 minutes.
25% of 7th-grade classrooms are math classrooms. The 7th-grade area has three math classrooms. How many classrooms are there in the seventh-grade area?
Answer:
12 classrooms
Step-by-step explanation:
We know that there are 3 math classrooms, and three math classrooms is 25% of all of the classrooms. We need to know the total number of classrooms, which is 100% of the classrooms, so we do 25% times 4. Because we did 25 times 4, we have to do 3 classrooms times 4, and we get 12 classrooms.
Here's a ratio explanation.:
Percent of classrooms : Classrooms
25 : 3
100 : 12
van brought a 16 pound bag of dog food .hos dog ate 2/3 of the food. how many pounds of dog food did the dog eat
Answer:
10.66
Step-by-step explanation:
16/3 = 5.3
5.3 x 2 = 10.66
Have an amazing day!
Please rate and mark brainliest!
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP THANKS
For the first question it's 52.99 cm^3 because the formula for volume of a cylinder is V=πr^2h.
The second question is 722.57 or 722 cm^2 because the formula for surface area is A=2πrh+2πr^2.
hope it helps!
Answer:
For question 3: 52.9875 cm^3 or 52.99 cm^3.
For question 4: 1,413 cm^3.
Step-by-step explanation: To find the volume of a cylinder, you need the area of the base times the height. We don't have the area of the base, but we can find out by using the formula 3.14 x r^2 where r is the radius, which is 1.5 for question 3 and 5 for question 4. It should look like this:
For question 3: 3.14 x 1.5^2 = 7.065.
For question 4: 3.14 x 5^2 = 78.5.
When you find the area of the base, you multiply it by the height, which is 7.5 for question 3 and 18 for question 4. It should look like this:
For question 3: 7.065 x 7.5 = 52.9875 or 52.99.
For question 4: 78.5 x 18 = 1,413.
Therefore, 52.9875 cm^3 or 52.99 cm^3 is your answer for question 3 and 1,413 cm^3 is your answer for question 4.
Let me know if this is right! :)
A recycling bin is in the shape of a right rectangular prism. The bin is 9 meters long, 5 meters wide, and 313 meters tall.
What is the volume of the recycling bin?
Enter your answer in the box.
V = m³
Answer:
14,085m³
Step-by-step explanation:
9*5*13
9*5=45
45*313=14,085
14,085