The magnitude of the force per unit length between the wires is [tex]3 \times 10^{-5} N/m[/tex].
What is the magnitude of the force?In a wire carrying a current I 2, the force that each wire feels due to the presence of the other depends on the distance between them and the magnitude of the currents.
Force per unit length = magnetic permeability * (current 1) * (current 2) / (2 π distance between the wires).
The below expression for the force per unit length.
Moreover, before using the below formula we have to change the unit centimeter into a meter. So, we just divide the centimeter by 100.
[tex]\rm \dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06[/tex]
Substitute all the values in the formula
[tex]\rm\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06\\\\ \dfrac{Force}{length}=\dfrac{4\pi \times 10^{-7} \times 3 \times3}{2\pi \times 0.06}\\\\ \dfrac{Force}{length}= 3 \times 10^{-5} N/m[/tex]
Hence, the magnitude of the force per unit length between the wires is [tex]3 \times 10^{-5} N/m[/tex].
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Which points are on a graph where y varies directly with x and y = 3 when x = -3
a. (1, 1); (0, 1); (3, 3)
b. (0, 0); (4, 8); (5, 10)
c. (1, 0); (3, 2); (5, 4)
d. (-1, 1); (0, 0); (-5, 5)
A coordinate system is a method of determining the position of points or other geometric components on a manifold. The points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).
What are coordinates?A coordinate system is a method of determining the position of points or other geometric components on a manifold, such as Euclidean space, by using one or more integers, or coordinates.
Given that y varies directly with x, therefore, we can write,
y∝x
y = kx
Also, y=3 and x=-3, therefore, the value of k can be written as,
3=k(-3)
k=-1
Now, the points which vary are on a graph where y varies directly with x are (-1, 1), (0, 0), and (-5, 5).
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Calculate the line of best fit using m= y2-y1/x2-x1 using your brain not a calculator
Take two points
(1,940)(2,950)Slope
m=950-940/2-1=10Equation in point slope form
y-y1=m(x-x1)y-940=10(x-1)y-940=10x-10y=10x-10+940y=10x+930Answer:
[tex]y=-\dfrac{300}{7}x+1000[/tex]
Step-by-step explanation:
Method 1 (see attachment 1 with red line)
Plots the points on a graph and draw a line of best fit, remembering to ensure the same number of points are above and below the line.
Use the two end-points of the line of best fit to find the slope:
[tex]\textsf{let}\:(x_1,y_1)=(0,1000)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(7,700)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{700-1000}{7-0}=-\dfrac{300}{7}[/tex]
Input the found slope and point (0, 1000) into point-slope form of a linear equation to determine the equation of the line of best fit:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-1000=-\dfrac{300}{7}(x-0)[/tex]
[tex]\implies y=-\dfrac{300}{7}x+1000[/tex]
Method 2 (see attachment 2 with blue line)
If you aren't able to plot the points, you should be able to see that the general trend is that as x increases, y decreases. Therefore, take the first and last points in the table and use these to find the slope:
[tex]\textsf{let}\:(x_1,y_1)=(1,940)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(7,710)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{710-940}{7-1}=-\dfrac{115}{3}[/tex]
Input the found slope and point (1, 940) into point-slope form of a linear equation to determine the equation of the line of best fit:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-940=-\dfrac{115}{3}(x-1)[/tex]
[tex]\implies y=-\dfrac{115}{3}x+\dfrac{2935}{3}[/tex]
The diameter of a basketball is approximately 9 inches. What is its volume? Round your answer to the nearest whole number.
A. 382 in to the 3 power.
B. 38 in to the 3 power.
C. 339 in to the 3 power
D. 3052 in to the 3 power
Step-by-step explanation:
Cost prevents one of the biggest barriers to restaurants offering healthier menu options. Fast-food chains like McDonald's have made their fortune by offering food with a long shelf life, which tends to be less healthy. As pointed out in The New Yorker, even if every restaurant in America decided to drop the fries and embrace kale and watermelon radish salads, the U.S. lacks the agricultural infrastructure to support that kind of dietary shift. Big farm crops like soybeans (for frying oil), corn (for high fructose corn syrup), and grain (livestock feed) receive millions of tax breaks and other government subsidies, making it hard for smaller farms to compete.
a) What is the definition of the square root of a number k?
b) what is the definition of the cube root of a number k?
c) what is the definition of the n^th root of a number k?
d) What are the limitations of working with roots and real numbers?
#a
Square root of k is a factor of the number k that when it is multiplied with itself yields the result as k
#b
Cube root of k is a factor of the number k that when it is multiplied thrice with itself yields the result as k
#c
n th root of k is a factor of the number k that when it is multiplied n times with itself yields the result as k
#d
For even value of root it should be positive to be realFor odd value it can be both positive and negativeSuppose a universal set consists of natural numbers that
are at most 16. Two subsets are created from the
universal set; Set A contains the multiples of 3 and
Set B contains the odd numbers. Correctly place
each element of the universal set in the Venn diagram
to the right.
To set up a venn diagram, you need the following details below
Set A = ( 3, 6, 9, 12, 15 )Set B = ( 1, 3, 5, 7, 9. 11, 13, 15 )A∩B = ( 3, 9 )U = (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)Meaning of a set and a venn diagramA set is the orderly collection of elements, material, numbers and items that satisfy a condition.
A set could be finite or infinite.
A venn diagram is a diagramatic representation of a set using circles. it mostly represents a finite set.
In conclusion, you can use the details above to draw your venn diagram.
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Please help me with this it's algebra WILL GIVE BRAINLIEST and 5 points
Answer: Graph C
Step-by-step explanation:
y-2 < -2x+2
y<-2x+4
slope is negative so it goes down. y int is 4.
insert (0, 0) into equation and 0 < 4 is true so shade where the origin is.
PLEASE I NEED FAST
X
Y
Z
find the value of missing variables
Answer:
.................... .
Did I do it right? Help me
We are given the statement that, If P is any odd number, then P + 2 is a prime number and we need to prove it either false or true, so as here it is written "any", so it means that the statement should be true for every and each odd number
Checking at P = 1⇒ P + 2 = 3 ↔ True
Checking at P = 3
⇒ P + 2 = 5 ↔ True
Checking at P = 5
⇒ P + 2 = 7 ↔ True
Checking at P = 7
⇒ P + 2 = 9 ↔ False
The given statement becomes false for P = 7, so the given statement is false
If f(x)= 2^8-x+3, what is the value of f(5), to the nearest tenth (if necessary)
Answer:
Step-by-step explanation:
f(5) = 2^8 - 5 +3
f(5) = 256-5+3
f(5) = 254
The amount of money on account it makes M for working H hours can be represented by the equation m = 29.4H what is the constant of proportionality of the equation
8(r+9) What is the answer?
Answer:
8r+72
Step-by-step explanation:
Answer:
8r + 72
Step-by-step explanation:
you multiply 8 by each number(or letter) in the parentheses, so 8 * r is basically 8r, and 8*9 is 72
Which graph summarizes a set of data using the minimum value, first quartile, median, third quartile, and maximum value? histogram dot plot box plot
Answer:
box plot
Step-by-step explanation:
what is the oppsite number from -64
Answer:
+64
Step-by-step explanation:
the opposite of a positive number is it's negative version while the opposite of a negative number is it's positive version.
so from the question above, the opposite of -64 is+64
please rate and mark brainliest!!!!- - - - - -- - - - - - - - -- - - - - - - - - - - - - -- - - - - - - - - - -- - - - - - - - -- - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the opposite number from -64?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
If a number's negative, its opposite is a positive; if a number's positive, its opposite is a negative.
Since -64 is negative, its opposite is
[tex]\bigstar\sf{64}[/tex]
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Independent and Dependent events
There are 3 cards and only 1 card is off.
If you pick the odd card first and do not replace it there is no chance of picking a second odd card.
The probability would be 0
I need help round pleae
Answer:
Mean=49 pounds
Median=11pounds
Step-by-step explanation:
If all the cats got weighted (5, 11,11,12,10) for each cat you need to add, multiply and divide to get all the answers (P.S. you don't need to round for your answers!)
For solving the Mean you need to add up all the numbers and then divide by how many numbers there are (5+11+11+12+10÷ 5=49)
For solving the Median you need to put the numbers in smallest to biggest order to solve for this (5,10,11,11,12) and then kept crossing them out (left to right) until you get the two middle numbers (11,11) then add them both right and then divide 22 by 2 then you have your answer!
You're going to rock this:)
Kenz
helpppp!!!!!!!!!!! i’m so confused
this may be a bad question but is negative 7 still a prime number?
Answer:
nope
Step-by-step explanation:
PLEASE HELP!
Before you answer:
-No spam (Will be reported)
-No incorrect answers (Will be reported)
-Correct answers and explanations will be mark as BRAINLIEST
Answer:
See below
Step-by-step explanation:
Use the formulae directly
For a cone, with base radius = r and height = h, here are the related formula
[tex]\textrm{Slant height l} = \sqrt{r^2 + h^2}[/tex] (1)
[tex]\textrm{Lateral surface area} = \pi r l[/tex]
[tex]\textrm {Base area} = \pi r^2[/tex]
[tex]\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l)[/tex] (2)
[tex]\textrm{Volume V = } (1/3) \pi r^2h[/tex] (3)
Therefore directly plugging in the numbers in the above equations:
Note:
l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm
Figure(a)
r = 4, h = 8
[tex]\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA} = 4\pi(4 + 8.944) = 4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04[/tex]
Figure(b)
r = 7, h =15
[tex]\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55[/tex]
[tex]\textrm{SA} = 7\pi(7 + 16.55) = 517.89[/tex]
Figure (c)
r = 5, l = 8
[tex]h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA} = 5\pi(5 + 8) = 204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5[/tex]
I NEED HELP FAST!!!
What is the distance between 14,-15 and 10,-7
Answer:
8.94 units
Step-by-step explanation:
Distance formula The distance between two points with coordinates
(14,-15) and (10,-7) round to nearest 100th
John is traveling at 48 miles per hour and his distance can be written as d = 48t.
How far will John travel if he travels for 5 hours?
Help!!! Find the slope and y-intercept
Answer:
To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).
Step-by-step explanation:
The diameter of a circle is 8 inches. What is the circle's circumference? d=8 in Use 3.14 for . inches
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
The diameter of a circle is 8 in. What is its circumference?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Formula for Circumference:-
[tex]\bigstar\boxed{C=\pi d}}[/tex]
Where
C = Circumferenceπ = pi (we're asked to use 3.14 for pi, so we'll do that)d = diameter (we're given that it's equal to 8 in)Substitute the values:-
[tex]\sf{C=(3.14)(8)}[/tex]
Multiply:-
[tex]\boxed{\sf{C=25.12\:inches}}[/tex]
Good luck.
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Answer:
25.12 inches
Step-by-step explanation:
Given that,
→ Diameter = 8 in
→ Radius (r) = 8/2 = 4 in
→ π = 3.14
Formula we use,
→ 2πr
Then the circle's circumference is,
→ 2πr
→ 2 × 3.14 × 4
→ 2 × 12.56
→ [ 25.12 in ]
Thus, circle's circumference is 25.12 in.
Please help me with this it's algebra WILL GIVE BRAINLIEST and 5 points
Answer:
y=4/-2x+4
Step-by-step explanation:
Formula (y=mx+b)
m= 4/-2 (rise over run)
b= 4 (y-axis intercept point)
y=mx+b
y=4/-2x+4
please help, i need to find the equation please
Answer: [tex]y=\frac{7}{2} x+10[/tex]
Step-by-step explanation:
y=mx+b
b=the y intercept
m=slope
In this graph, the y intercept is 10 so we can substitute b for that.
You find the slope with 2 points on the line.
(2,17) (6,31)
[tex]\frac{31-17}{6-2}[/tex]=[tex]\frac{14}{4}[/tex] which is simplified to [tex]\frac{7}{2}[/tex]
You can substitute m for [tex]\frac{7}{2}[/tex] now and your equation is [tex]y=\frac{7}{2} x+10[/tex]
Identify the type of display that would be most appropriate for the description of the given data set. The number of pets in each student's household.
send a screen shot of the whole question so i can help becuase there is no data here to even help you with
Step-by-step explanation:
Answer:
A Bar graph is most appropriate for this example
Mike is shopping for new clothes.
Answer:
Step-by-step explanation:
Solve the problem and define the variable (50 points)
Answer:
i dont now but i thin it is 5
Step-by-step explanation:
Write 0.423 as a fraction.
Answer:
= [tex]\frac{0.423}{1}[/tex]
=[tex]\frac{423}{1000}[/tex]
so the answer is 423/1000
Step-by-step explanation:
hope it helps
A circle has a radius of 12 ft. What is the area of the sector formed by a central angle measuring (3pi)/4 radians?
Use 3.14 for pi
Can you also show me how to solve it
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{1}{2}\theta r^2~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=12\\ \theta =\frac{3\pi }{4} \end{cases}\implies \begin{array}{llll} A=\cfrac{1}{2}\left( \cfrac{3\pi }{4} \right)(12)^2\implies A=\cfrac{432\pi }{8} \\\\\\ A=54\pi \implies \stackrel{using~\pi =3.14}{A=169.56} \end{array}[/tex]
i need help with this question
Answer:
express 33362imstandard form
