Calculate the resistance of a piece of aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F. Hint: Be sure to first convert mils to cmils and use the K value for aluminum found in the reference. (Round the FINAL answer to two decimal places.)

Answers

Answer 1

Answer: [tex]R = 16.83 \text{ ohms}[/tex]

Explanation:

The resistance of an aluminum wire is given by

[tex]R = \frac{\rho L}{A} [/tex]

where:

[tex]R = \text{ resistance of the wire} \\ \rho = \text{resistivity of the aluminum} = 2.65 \times 10^{-8} \text{ ohm-meters} \\ L = \text{length of the wire} = 2 \text{ miles} \\ A = \text{cross-sectional area of the wire} [/tex]

Since the resistivity is in ohm-meters, we need to convert the length to meters and the area to square meters. But we need to convert mils to cmils first to get the cross sectional area of the wire.

To convert mils to cmils, we get the square of the diameter of the circle in mils because 1 cmil (or circular mil) is the area of the circle whose diameter is 1 mil. So, since the diameter of the wire is 100 mils, the cross-sectional area of the wire in cmils is given by:

[tex]\text{Area in cmils = }d^2 = 100^2 = 10,000 = 10^4 \text{ cmils}[/tex]

Note that we convert the area in terms of scientific notation because the resistivity is expressed in scientific notation and it is easier to multiply very large and very small numbers if they are expressed in scientific notation.

Now, since [tex]1 \text{ cmil} = 5.067 \times 10^{-10} \text{ square meters}[/tex], the cross sectional area of the wire is equal to

[tex]10^4 \text{ cmils} = (10^4 \text{ cmils} )\left ( \frac{5.067 \times 10^{-10} \text{ square meters}}{1\text{ cmil}} \right ) [/tex]
[tex]10^4 \text{ cmils} = 5.067 \times 10^{-6} \text{ square meters}[/tex]

Since 1 mile = 1,609.344 meters, 2 miles = 2 × 1,609.344 meters = 3,218.688 meters = [tex]3.218688 \times 10^3 \text{ meters}[/tex]. .

Hence the resistance is given by

[tex]R = \frac{\rho L}{A} \\ R = \frac{(2.65 \times 10^{-8} \text{ ohm-meters}) (3.218688 \times 10^3 \text{ meters})}{5.067 \times 10^{-6} \text{ square meters}} \\ \boxed{R = 16.83 \text{ ohms}}[/tex]

Answer 2

Final answer:

This answer calculates the resistance of an aluminum wire of specific dimensions. It begins by determining the cross-sectional area of the wire, then uses a formula incorporating resistivity, length, and area to calculate resistance. The final resistance of the wire is approximately 0.037 Ohms.

Explanation:

To calculate the resistance of a piece of aluminum wire, we first need to figure out the cross-sectional area of the wire. As given, the diameter of the wire is 100 mils. To convert mils to cmils (circular mils), we square the diameter, thus 100^2 = 10,000 cmils is the cross-sectional area.

Next, we use the formula for resistance: R = ρL/A, where R is the resistance, ρ (Rho) is the resistivity of the material (aluminum, in this case), L is the length in feet, and A is the cross-sectional area in circular mils (cmils).

We need to convert the length from miles to feet (1 mile = 5,280 feet), so 2 miles = 10,560 feet. The resistivity of aluminum at 68°F is approximately 10.75 nanoOhms*meter, to convert this to Ohms*foot we multiply by 3.281, so ρ becomes approximately 35.28 nΩ/ft.

The resistance R can then be calculated as follows: R = ρL/A = (35.28 x 10^-9) x 10,560 / 10,000 = 0.037 Ohms, rounded to two decimal places.

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Related Questions

Again pls help me. I will mark you brainly!! :)))))))))))

Answers

The formula for the area of a trapezoid is A=1/2h(b+b). So, you would substitute the equation as A=1/2(3)(3+2). The answer is 7.5.

A = 1/2 · (3+2) · 3 = 1/2 · 5 · 3 = 7.5 units²

The answer is 7.5 units².

Emily sold 66 boxes of cookies for a fundraiser. If she sold 40% of the total boxes of cookies sold for the fundraiser, how many boxes of cookies were sold for the fundraiser total?

Answers

She sold about 40 boxes because you do 66 - 40% = 39.6 or about 40

Drag the correct steps into order to evaluate 42 + t/6 for t = 12.

Answers

Ok so substitute 12 where it says t in the equation. So first step is to divide 12 by 6 and that = 2 and then add that to 42 which = 44. Hopes that helped

The value of the expression for the given value of t is 44

What is an expression?

From the question, we are to evaluate the given expression for t = 12

The given expression is

42 + t/6

To evaluate the given expression for t = 12, we will substitute 12 for t in the expression,

That is,

42 + t/6 becomes

42 + 12/6

NOTE: 12/6 = 2

Then, we get

42 + 2

= 44

Hence, the value of the expression for the given value of t is 44.

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Alexa knock down 70 bowling pins in 10 frames. in each frame, alexa nocked down the same number of pins. how many pins did Alexa knock down in each frame?

Answers

The answer would be 7 because you would divide 70 by 10 to find out how many were per frame.

WILL GIVE BRAINLIEST TO PERSON THAT IS CORRECT!!!!

Hana rented a car for a week for $200 plus $0.25 per mile. After driving for one week, she owed the rental company $362.50.

Which equation represents the amount she paid to the rental company, and how far did Hana drive during the week?

$200 + $0.25m = $362.50; m = 650 miles
$200 + $0.50m = $250; m = 140 miles
$200 - $0.25m = $725; m = 2,250 miles
$200 - $0.25m = $362.50; m = 1,450 miles

Answers

The answer is the third one!!
Hope this helps!!

A website developer is designing a website for a clothing company . Clothing items will be arranged on a web page in a rectangular display showing 32 clothing items, with the same number of items in each row . How many ways can the display be arranged?

Answers

A total of 32 clothing items will be arranged on a web page. Since the location of all rectangular display is different, that means the arrangement order will be important so you need to use permutation in this problem. The calculation would be:
32P= 32!= 2.63* 10^35 possible ways

t takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined?

Answers

She would be able to download 49 at this rate.
Because 5/35 =7/n which would then =245/5 which equals 49

Answer:

The time it takes to download 7 songs is 49 seconds.

Step-by-step explanation:

It is about a division problem.

The first step is to determine how long it takes to download just one song. You must divide the total seconds by the total songs downloaded. The result would be the time required to download just one song.

[tex]\frac{35\, seconds}{5\, songs}=7\frac{seconds}{song}[/tex]

The previous value indicates that the download time is 7 seconds per song.

The second step is to determine how long it takes to download 7 songs. With the previous value in mind, you must multiply the time it takes to download one song by the 7 songs that Dariya wants to download, to obtain the total time it takes to download the 7 songs.

[tex]\frac{7\, seconds}{1\, song}\times 7\, songs=49\, seconds[/tex]

Thus, the time it takes to download 7 songs is 49 seconds.

A girl stands 160 cm tall she stands 360 cm away from a lamp post at night her shadow from the light is 90 cm long how high is the lam post

Answers

1. You should draw a diagram with the information given in the problem. As you can see in the figure attached, there are two triangles, so, you can calculate the height of the lamp post as below:

h1/b1=h2/b2

h1 is the height asked.
b1=360 cm+ 90 cm
b1=450 cm
h2=160 cm
b2=90 cm

2. When you substitute these values into h1/b1=h2/b2, you obtain:

h1/450 cm=160 cm/90 cm

3. Now, you must clear the height "h1". Then, you have:

h1=(160 cm)(450 cm)/90 cm
h1=72000 cm²/90 cm
h1=800 cm

How high is the lamp post?

The answer is: 800 cm

Final answer:

To find the height of the lamppost given the girl's height, distance from the lamp post, and shadow length, set up a proportion to calculate the lamp post's height.

Explanation:

A girl stands 160 cm tall and stands 360 cm away from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamppost?

Set up a proportion: Lamp post height / Girl's height = Lamp post shadow length / Girl's shadow length.

Substitute the values: Lamp post height / 160 cm = 360 cm / 90 cm.

Solve for the lamp post height: Lamp post height = (360 cm * 160 cm) / 90 cm = 640 cm.

how do you solve 5y+26=4y-56?

Answers

You must isolate y by putting like terms together.

5y+26=4y-56
Subtract 26 from both sides
5y=4y-82
Subtract 4y from both sides
y= -82

Check:
Substitute the answer in equation
5y+26=4y-56
5(-82)+26=4(-82)-56
-410+26= -328-56
-384 = -384

Hope this helps! :)

Simplify the expression fraction with numerator of the square root of negative twenty five and denominator of the quantity five minus two times i plus the quantity one minus three times i

Answers

If I understood you correctly this is the expression we need to simplify:
[tex] \frac{\sqrt{-25}}{(5-2i)+(1-3i)}[/tex]
You should keep in mind that square root of -1 is equal to i. i is called the imaginary unit.
Let us simplify this expression:
[tex]\frac{\sqrt{-1}\cdot \sqrt{25}}{6-5i}= \frac{5i}{6-5i} [/tex]
To simplify this further we can multiply numerator and denominator with 6+5i to elimante imaginary numbers from denominator.
[tex]\frac{5i}{6-5i}\cdot \frac{6+5i}{6+5i} = \frac{5i(6+5i)}{6^2-(5i)^2}= \frac{30i-25}{36+25}= \frac{-25+30i}{61} [/tex]

A pair of diamond earrings has been marked up 50% and is now selling for $198.00. How much were the earrings before the mark-up?

Answers

Final answer:

The original price of the diamond earrings before a 50% markup that led to a final selling price of $198.00 was $132.00.

Explanation:

The question asks us to find the original price of the diamond earrings before a 50% markup that resulted in a final selling price of $198.00. To solve this, we use the markup formula, which is Final Price = (Original Price) × (1 + Markup Percentage). Here, the Final Price is $198.00 and the Markup Percentage is 50%, or 0.50 when expressed as a decimal.

First, we rearrange our formula to solve for the Original Price:
Original Price = Final Price ÷ (1 + Markup Percentage). Plugging in the given values, we have: Original Price = $198.00 ÷ (1 + 0.50) = $198.00 ÷ 1.50.

Doing the computation: Original Price = $132.00. Therefore, the earrings were priced at $132.00 before the 50% markup.

PLZ HELP :,( Select all that apply. Which quadrilaterals always have four congruent sides? trapezoid rhombus parallelogram square

Answers

It's the square. Because it has four congruent sides

Answer:

square is the answer

•• quilt squares are cut on the diagonal to form triangular quilt pieces the hypotenuse of the resulting triangle is 10 inches long what is the side length of each piece?

-5
-5√2
-5√3
-10√2

•• Find the length of the missing sides in the triangle a triangle is not Drawn to scale.

Answers

1) The problem says that the quilt squares are cut on the diagonal to form triangular quilt pieces. Then, the triangle pieces have angles of 45°, and the legs have the same lenght. So, you can solve the exercise by applying the Pythagorean Theorem:

h²:s²+s²
h²=2s²
h²/2=s²
s=√(h²/2)

"h" is the hypotenuse (h=10 inches) and "s" is the length of the sides.

When you substitute the value of the hypotenuse into the formula s=√(h²/2), you obtain the sides length:

s=√(h²/2)
s=√(10²/2)
s=5√2

What is the side length of each piece?

The answer is: 5√2

2)Tan(α)=Opposite/Adjacent

α=30°
Opposite=17
Adjacent=x

When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:

Tan(α)=Opposite/Adjacent
Tan(30°)=17/x
x=17/Tan(30°)
x=17√3

Sin(α)=Opposite/Hypotenuse

α=30°
Opposite=17
Hypotenuse=y

Then, you have:

Sin(30°)=17/y
ySin(30°)=17
y=17/Sin(30°)
y=34

Find the exact area of a circle having the given circumference. 8 pi

Answers

A = C^2/4*3.14

= 5.09

Answer: [tex]16\pi\ \text{ units}^2[/tex]

Step-by-step explanation:

We know that the circumference of a circle is given by :-

[tex]\text{Circumference}=2\pi r[/tex], where r is the radius of the circle.

Given : The circumference of a circle = [tex]8\pi[/tex]

Then , the circumference of a circle will be :-

[tex]8\pi=2\pi r\\\\\Rightarrow\ r=4\text{ units}[/tex]

Now, the area of circle is given by :-

[tex]A=\pi r^2\\\\\Rightarrow\ A=\pi(4)^2\\\\\Rightarrow\ A =16\pi\ \text{ units}^2[/tex]

Eric jogged 3 1/4 miles on Monday, 5 5/8 miles on Tuesday, and 8 miles on wednesday. Supposed he continues the pattern fro the remainder of the week. How far will Eric jog on Friday

Answers

Hello,

Here is your answer:

The proper answer to this question is "5 5/8".

Monday: 3 1/4

Tuesday: 5 5/8

Wednesday: 8

Thursday: 3 1/4

Friday: 5 5/8

If you need anymore help feel free to ask me!

Hope this helps!

Answer:

20 miles 1/2

Step-by-step explanation:

I did the steps my teacher taught me

would you measure the length of a bench in centimeters or in meters .explain your choice

Answers

I would measure it in meters because it is an easier measurement to use, and the average bench is around 1.5 meters.

is 1.5 miles greater than 2500 yards

Answers

The answer is yes

1.5 miles > 2500 yards

1 mile = 5280 feet

1 yard = 3 feet

1.5 miles = 7920 feet

2500 yards = 7500 feet

7920 feet > 7500 feet

Hope I helped!
Let me know if you need anything else!
~ Zoe

Hey there!

According to our customary units of miles, 1 mile is equal to 5,280 feet - and 3 feet is a yard. That means, we have to divide 5,280 by 3 to figure out how many yards are in a mile:

5280/3 = 1760

That means that one mile is 1760 yards. But we're not finished yet. It says 1/5 miles, not one mile. Therefore, we take one half of the total distance in yards of a mile and add it to that 1760, because it's 1.5, or 1-and-a-half. Which, in technical terms means "1-plus-a-half".

We have:

1760 + 1760/2 = 1760 + 880 = 2640

Therefore, 1/5 miles, since it's 2640 yards, is greater than the 2500 yards specified in the question.

Hope this helps!

Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?

To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.

To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.

To break even, Liza must answer 6 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.

To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly.

Answers

number 2 is the correct answer!
have a nice day!!

The answer is B Liza must answer 2 questions correctly

Calculate the rise and run and find the slope ( 4,1) and (3,1)

Answers

Hey there! :D

Plug it into the slope formula:

m= (y2-y1)/(x2-x1)

(4,1) <== (x1, y1) (3,1) <=== (x2,y2)

m= (1-1)/(3-4)

m=0/-1

The rise is 0. The run is -1.

The slope is 0. 0/-1= 0 0 out of -1 is 0.

I hope this helps!
~kaikers

enter a positive value for n that makes this statement true:1×n is less than 1 but greater than 0

Answers

N=0.5

1x0.5=0.5 which is less than 1 but greater than 0

The possible value of n is,

⇒ n = 1/2

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The statement is,

1×n is less than 1 but greater than 0

Now, We can write as;

⇒ 0 < 1 × n < 1

Simplify as;

⇒ 0 < n < 1

Thus, The possible value of n is,

⇒ n = 1/2

⇒ n = 0.5

Thus, The possible value of n is,

⇒ n = 1/2

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Julia has to measure an object.she does not have a ruler. Tell what Julia could do to solve her problem.

Answers

Julia could use the knuckle on her thumb to the thumb top which is approximately an inch and use that to measure.

Find the constant of proportionality k as a fraction in simplest form. Then enter an equation for the relationship between x and y.

x 12 24 36 48
y 2 4 6 8

The constant of proportionality, k =

The equation is y =

Answers

The constant of proportionality for K is 1/6.
The equation for y is, y=1/6x

The calculated value of the constant of proportionality that relates the variable y, to x, is 1/6

How to determine the constant of proportionality

From the question, we have the following parameters that can be used in our computation:

x 12 24 36 48

y 2 4 6 8

The constant of proportionality (k) is calculated as

k = y/x

So, we have

k = 2/12

Evaluate

k = 1/6

Hence, the constant of proportionality is 1/6

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A medical testing laboratory saves money by combining blood samples for tests, so that only one test is conducted for several people. the combined sample tests positive if at least one person is infected. if the combined sample tests positive, then individual blood tests are performed. in a test for gonorrhea, blood samples from 30 randomly selected people are combined. find the probability that the combined sample tests positive with at least one of the 30 people infected. based on data from the centers for disease control, the probability of a randomly selected person having gonorrhea is 0.00114. round your answer to four decimal places.

Answers

The probability is 0.0334.

We will first find the probability that none of the 30 people sampled are infected. Since the probability of one person being infected is 0.00114, the probability that someone is not infected is 1-0.00114 = 0.99886. The probability that none of the 30 people are infected would be (0.99886)^30 = 0.966359. We subtract this from one to find the probability that at least one person is infected:
1 - 0.966359 = 0.0334.

A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at random, what is the probability that it is a blue ball? Answers have been rounded to the tenths place.

Answers

2/9 is the best answer because 5C2/10C2=10/45=2/9.

Answer: Hello there!

in the bag we have:

5 blue balls, 4 red balls, and 3 orange balls.

This adds up to 5 + 4 + 3 = 12 balls in total.

If we took a ball at random, the probability tath this ball is blue is equal to the quotient between the number of blue balls and the total number of balls.

this is P = 5/12 = 0.4166

now we need to round it to the tenths place, this is the first number after the decimal point, in this case, a 4.

To round it we need to see the number that is after if it is 5 or bigger we round up, if is smaller than 5 we round down. In this case, is a 1, means that we need to round down

p = 0.4

If a ball is picked from the bag at random, the probability that the ball taken was a blue ball, is equal to p = 0.4

A circle has center O(−3, 1) and radius 10. Which of the following points is on the circle?

A. V(−3, −4)
B.X(5, −2)
C.Y(−6, 0)
D.Z(5, 7)

Answers

Try this solution:
1. common equation of circle is (x-a)²+(y-b)²=r², where a,b - coordinates of the centre, r - radius of the circle.
2. using point O and radius: (x+3)²+(y-1)²=100 - the equation of the circle.
3. substituting point V,X,Y and Z into the equation of the circle:
V: (-3+3)²+(-4-1)²=100 - false;
X: (5+3)²+(-2-1)²=100- false;
Y: (-6-3)²+(0-1)²=100 - false;
Z: (5+3)²+(7-1)²=100 - true.

Answer: D.

Find an equation of the plane. the plane through the point (2, 0, 5) and perpendicular to the line x = 7t, y = 6 − t, z = 4 + 5t

Answers

Given:
P: (2,0,5)
L: (0,6,4)+t(7,-1,5)
and required plane, Π , passes through P and perpendicular to L.

The direction vector of L is V=<7,-1,5>.
For Π to be perpendicular to V, Π has V as the normal vector.

The equation of a plane with normal vector <7,-1,5> passing through a given point P(xp,yp,zp) is
7(x-xp)-1(y-yp)+5(z-zp)=0

Thus the equation of plane Π passing through P(2,0,5) is
7(x-2)-y+5(z-5)=0
or alternatively,
7x-y+5z = 14+25
7x-y+5z = 39

On Wednesday Rachel hid 1.50 in a box. On Thursday she added $18 to the box. On Friday she took half the money out the box. How much money remains in the box ?

Answers

if we do 18.00 add 1.50 we have 19.5 so we we then divided it by 2 and the answer is 9.75

A pipe is 30 feet long. It needs to be cut into pieces that are each 2/3 feet long. How many pieces can be made from the pipe? Write the answer in simplest form.

Answers

Divide total length by length of each piece to get the number of pieces.

= 30 ÷ 2/3
multiply by reciprocal of 2/3
= 30 * 3/2
= 90/2
= 45

ANSWER: Total number of pieces that can be cut is 45.

Hope this helps! :)

Final answer:

To find the number of pieces, divide the length of the pipe by the length of each piece. The number of pieces that can be made is 45.

Explanation:

To find the number of pieces that can be made from the pipe, we need to divide the length of the pipe by the length of each piece.

Length of each piece = 2/3 feet

Number of pieces = Length of pipe/Length of each piece = 30 feet / (2/3 feet)

Number of pieces = 30 * 3/2 = 45

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What is the side length of a square whose area is 1/64 square mile

Answers

Given is the square whose area is 1/64 squared miles, and it says to find the side of the square.

We know the formula for area of square is given by :-

Area of square = (side)²

[tex] (side)^{2} = \frac{1}{64} \\\\
side = \sqrt{\frac{1}{64}} \\\\
side = \frac{1}{8} = 0.125\; miles [/tex]

Hence, side of the square would be 1/8 miles or 0.125 miles.

The speed limit is posted in most areas, but, if not, the ___________ speed limit will be in effect.

Answers

radar, I believe. Hope it helps! :)

Final answer:

When no specific speed limit is posted, the default speed limit applies. These defaults are set by local or state law and can vary. Drivers must adhere to these limits and drive safely for conditions.

Explanation:

In most areas, when specific traffic speed limit signs are not posted, what's known as the default speed limit applies. These default speed limits are not posted on signs and instead are set by local or state law. It's important to stay aware of these limits in different areas, as they can vary. For instance, in many cities, the default speed limit is 25 mph unless otherwise posted. However, it should be noted that these default limits may not protect you from being pulled over if the police deem your speed unsafe for the current conditions. Thus, it's recommended to always drive at a speed that is appropriate for the conditions, even if you are technically within the speed limit.

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