The electrical resistance of a​ wire, R, varies directly as its​ length, L, and inversely as its cross sectional​ area, A. If the resistance of a wire is 0.08 ohm when the length is 100 ft and its​ cross-sectional area is 0.05 in^2 ​, what is the resistance of a wire whose length is 4000 ft with a​ cross-sectional area of 0.02in^2 ​? ​a) Write the variation equation. (R=k(l/a) ​b) Determine the value of the quantity indicated. WILL MARK BRAINLIEST - 50PTS! NEED FAST - with work please so I understand how to do it, thank you:)

Answers

Answer 1

Step-by-step explanation:

(A)

Length of wire = 30.48 m

Area of cross section = 3.22 * 10 ^ -5 m^2

[tex]R = k \frac{l}{a} [/tex]

[tex]k = \frac{R \times a}{l} = \frac{0.08 \times 3.22 \times {10}^{ - 5} }{30.48} = 8.45 \times {10}^{ - 8} ohm \: m^{ - 1} [/tex]

(B) length of wire = 1219.2 m

Area of cross section = 1.29 * 10^-5 m^2

Resistance = 8.45 * 10^-8 * 1219.2 / 1.29 * 10^-5 = 7.98 Ohms


Related Questions

36=6u+30 PLEASE HELPPPP!!!

Answers

Answer: u = 1

36 = 6(1)+30

Step-by-step explanation:

Answer:

1=u

Step-by-step explanation:

36-30=6u+30-30

6=6u

6÷6=6u÷6

1=u

Find the remainder when (2x^2 +2x+1) is divided by ( x+1)

Answers

Use the remainder theorem, which says the remainder upon dividing a polynomial [tex]p(x)[/tex] by [tex]x-c[/tex] is exactly [tex]p(c)[/tex]. In this case,

[tex]p(x)=2x^2+2x+1[/tex]

[tex]c=-1[/tex]

[tex]\implies p(c)=2(-1)^2+2(-1)+1=\boxed{1}[/tex]

How many solutions does the equation 4y − 4y − 12 = 14 − 2 have?

Answers

Answer:

NONE

Step-by-step explanation:

4Y-4Y-12=14-2

LETS ADD AND SUBTRACT

-12=12

WHICH ISNT TRU!

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                  PEACE!

Answer:

None

Step-by-step explanation:

The equation states after simplifying that -12 = 12 which is not a true statement.

on Tuesday at low tide the water was 17 ft below sea level. Then it rained for three days and the water level rose 20 feet. On Saturday it the water level dropped 5 ft and by Sunday it dropped another 3 feet. what was the water level by the end of the day on Sunday?​

Answers

29 feet because 17 + 20 - 5 - 3 = 29

Given x=-3, y=6, and z=-4 22-3y+4x=​

Answers

Answer: -8

Explanation: It's a good idea to get into the habit of using parenthses

when substituting numbers in for variables.

Since x = -3 and y = 6, 22 - 3y + 4x is 22 - 3(6) + 4(-3).

3(6) is 18 so we have 22 - 18 + 4(-3).

4(-3) is - 12 so we have 22 - 18 + -12.

Now, 22 - 18 is 4 and 4 + -12 is -8.

Answer:

-8

Step-by-step explanation:

Subsitute the variable "y" with 6 and the variable "x" with -3. Once the variables are replaced with the right numbers, the equation should read 22- 3(6) +4(-3). Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you should do what's in the parentheses first. -3 times 6 is -18 and 4 times -3 is -12. 22-18-12= -8

please answer this question with explanation

Answers

the domain of this line is -4

Expand (3+√5)(2+√5)

Give your answer in the form a+b√5 where a and b are integers.

Answers

Answer:

11 + 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Note that [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 5

Given

(3 + [tex]\sqrt{5}[/tex] )(2 + [tex]\sqrt{5}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

3(2 + [tex]\sqrt{5}[/tex] ) + [tex]\sqrt{5}[/tex](2 + [tex]\sqrt{5}[/tex] ) ← distribute both parenthesis

= 6 + 3[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] + 5 ← collect like terms

= 11 + 5[tex]\sqrt{5}[/tex] ← in the form a + b[tex]\sqrt{5}[/tex]

with a = 11 and b = 5

The value below lies between which two integers on a number line.
-V57
А.
-7 and -8
B.
7 and 8
С
56 and 58
D
-56 and -58
Help fast

Answers

Answer:

2(29D-28adn-29)

Step-by-step explanation:

Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(3.4p-6q+6) −(3.4p−6q+6)

Answers

Answer:

[tex]-(3.4p-6q+6)[/tex] = [tex]-3.4p+6q-6[/tex]

Step-by-step explanation:

Given

[tex]-(3.4p-6q+6)[/tex]

Required

Simplify

[tex]-(3.4p-6q+6)[/tex]

Rewrite as

[tex]-1(3.4p-6q+6)[/tex]

[tex]-1 * (3.4p-6q+6)[/tex]

Open the bracket

[tex]-3.4p+6q-6[/tex]

Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room?

Answers

Answer:

26 m and 20 m

Step-by-step explanation:

Let the length of the room be l, the breadth be b and perimeter be P.

Given:

P/2 = 46 ml = b + 6 mSolution

Since P = 2(l + b), P/2 = l +b, we have following equations:

l + b = 46l = b + 6

Substituting l in first equation:

b + 6 + b = 462b + 6 = 462b = 40b = 20 m

Then the length is:

l = b + 6 = 20 + 6 = 26 m

Could you explain to me how I'm supposed to solve this and all the steps?

Answers

Answer:

98 degrees

Step-by-step explanation:

The total sum of the angles of a pentagon is 540 degrees and the sum of the four given angles is 442 degrees. So, the answer is 540 - 442 = 98

HELPPPPP MEEEEE I WIIILLLLL GIVVVEEE BBRRRAIINNNNNLLLLIEEESTTTT!!!!! I pay $2.25 per gallon of gasIf I get a drink they take $.50 per gallon . What is my cost if I get 10 gallons of gas?

Answers

Answer:

$17

Step-by-step explanation:

10 x 2.25 = 22.5

10 x .50 = 5

22.5 -5 = 17

I think this is correct.  Sorry if it isn't though!!!!!!

I WILL GIVE BRAINLIEST a scale on a map shows that 2 inches = 25 miles Part A: How many inches on the map = 60 miles? ------------------------------------------------------------------------ Part B: How many miles are represented by 1/4 inch on the map?

Answers

Answer:

4.8 in, 3.125 mi

Step-by-step explanation:

This situation models direct proportionality, hence, if one variable increases, the other goes increases as well and vice versa. In this case, the variables are inches and miles.

Part A: Since you multiply 60/25 by 25 to get 60 miles, we know that the value in inches will be 2 * 60/25 = 4.8 inches.

Part B: Since you divide 2 by 8 to get 1/4 inches, we know that the value in miles will be 25 / 8 = 3.125 miles.

If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(4))?

Answers

Answer is -7

Plug 4 in for g(x) and solve to get x=-7.Plug x=-7 in for f(x).

Answer:

-7

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]

And we want to find f(g(4)).

So, find g(4) first:

[tex]g(x)=-3x+5\\g(4)=-3(4)+5[/tex]

Multiply:

[tex]g(4)=-12+5[/tex]

Add:

[tex]g(4)=-7[/tex]

Now, substitute:

[tex]f(g(4))=f(-7)[/tex]

Use the equation from f(x):

[tex]f(x)=2x+7\\f(-7)=2(-7)+7[/tex]

Multiply:

[tex]f(-7)=-14+7[/tex]

Add:

[tex]f(-7)=-7[/tex]

So:

[tex]f(-7)=f(g(4))=-7[/tex]

And that's our answer :)

find the coordinates of the other endpoint of the segment of one endpoint is (-2,-7) and midpoint is (6,-10)

Answers

Answer:

(14, - 13 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

let (x₁, y₁ ) = (- 2, - 7) and (x₂, y₂ ) = (x, y)

Using the midpoint formulae equate to the coordinates of the midpoint.

[tex]\frac{1}{2}[/tex] (- 2 + x) = 6 ( multiply both sides by 2 )

- 2 + x = 12 ( add 2 to each side )

x = 14

and

[tex]\frac{1}{2}[/tex] (- 7 + y ) = - 10 ( multiply both sides by 2 )

- 7 + y = - 20 ( add 7 to both sides )

y = - 13

Thus

coordinates of other endpoint = (14, - 13 )

Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
According to the table, how many hours of training would you need to have a
monthly pay of $1140?
A. 12
B. 4
C. 2
D. 14

Answers

Answer: A 12

A
B
B
B
B
B
B
Bv

Can somebody help me with this ?? :)

Answers

Answer:

Your answer would be D, the equation is a function because it is a polynomial and all polynomials are functions.

Step-by-step explanation:

I like to remember that polynomials have no negative , fraction exponents and no division. In this case everything is positive so I knew it was a polynomial , and like the answer says all polynomials are functions !

Hope this helped

Please show all work and not just the answers.

Answers

Answer:

√113

Step-by-step explanation:

As per distance formula:

d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Points are:

A(-4, -3) and B(3,5)

So the distance:

d = [tex]\sqrt{(3+4)^2 + (5+3)^2}[/tex] = [tex]\sqrt{7^2 + 8^2}[/tex] = [tex]\sqrt{49+64} = \sqrt{113}[/tex]

Answer is √113

Answer:

√113

Step-by-step explanation:

B(3,5) , A(-4,-3)

distance between 2 points : d

d=√(x2-x1)²+(y2-y1)²

d=√(3-(-4)²+(5-(-3)²

d=√7²+8²

d=√49+64

d=√113

Explain how economic forces such as employment, income, prices, interest rates, and consumer confidence influence the purchasing decisions you make as a consumer.

Answers

Answer: kindly check explanation

Step-by-step explanation:

As a consumer, a number of factors play a number of factors play a major role and guides my purchasing decision. These factors include :

Employment : Being employed or self employed and being unemployed definitely plays a role in one's income level. An unemployed individual may tend to be more conservative when deciding on what or what not to purchase.

Income : Employment has grades which could be defined based on income level of workers, individuals with higher wages or salaries will tend to boast more financial strength than those with meager income.

Prices : Cost of items may be used to interpret quality product in some cases, hence some individuals may be put off by high cost associated to a product while some may be attracted to them.

Interest rate: Interest rates are often unstable and as such may guide an individual's investment plan, by holding on when interest falls and financing when it rises.

Consumer confidence : The contentment individuals derive from using a product may be nurtured through previous experience and hence either builds consumer confidence in a certain brand or a loss or decline in confidence over such product.

7/15 in decimal form

Answers

Answer:

0.46666666666667

Step-by-step explanation:

You could use long division, and see that 7/15 = 0.46666666667.

A bakery sold a total of 500 cupcakes in a day, and 200 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{40\% \: }}}}}[/tex]

Step-by-step explanation:

Total number of cupcakes = 500

Total number of mocha flavored cupcakes = 200

To find : percentage of mocha flavored cupcakes sold that day

[tex] \boxed{ \sf{ \frac{total \: number \: of \: mocha \: flavored \: cupcakes}{total \: number \: of \: cupcakes} \times 100 \: \% \: }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{200}{500} \times 100\%}}[/tex]

[tex] \dashrightarrow{ \sf{40 \: \% \: }}[/tex]

Hope I helped!

Best regards ! :D

Answer:

40% were mocha flavored cupcakes.

Step-by-step explanation:

200/500 = 2/5

2/5 = 40%

Hope it helped you!

find the length of the line segment AB if the coordinates of the end points are A (-1, 5) & B (3,11)

Answers

Answer:

5,6

Step-by-step explanation:

plz help ASAP!!! WILL MARK U BRAINLIEST IF CORRECT

Answers

Answer:

I think it is A.

Step-by-step explanation:

Beakers X and Y contain some water. If 50 ml of water is transferred from Beaker X
to Beaker Y, there will be 3/7 as much water in Beaker X as in Beaker Y. IF 100 ml
of water is transferred from Beaker Y to Beaker X, there will be 4 times as much
water in Beaker X as in Beaker Y. How much water is there in Beaker X?​

Answers

Answer:

140 ml

Step-by-step explanation:

Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.

Then we get following equations:

First part

x - 50 = 3/7(y + 50)7x -350 = 3y + 1507x = 3y + 500

Second part

x + 100 = 4(y - 100) x + 100 = 4y - 400x = 4y - 500

Substitute x in first equation:

7(4y - 500) = 3y + 50028y - 3500 = 3y + 50028y - 3y = 500 + 350025y = 4000y = 4000/25y = 160 ml

Then finding x:

x = 4*160 - 500x = 640 - 500x = 140 ml

Initial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml

Sara bought a meal in a town that has no sales tax. If she tipped 20% and paid a total of $18.96, what was the original cost of her meal?

Answers

Answer: $18.76

Step-by-step explanation:

Let original cost of meal =x

According to question,

x+20%=18.96

x=18.96-20%

x=$18.76

Answer:

original cost of meal  = $15.80

Step-by-step explanation:

120% = $18.96 (divide both sides by 120)

1% = $0.158  (multiply both sides by 100)

100% = $15.80

hope this helps...

Help needed ASAP will give brainliest

Answers

Answer:

I guess the answer is going to be 9/5

What’s the area of a square with the vertices (3,3),(6,6),(9,3), and (6,0)

Answers

Answer:

I believe the area of a square with those vertices is 16 units

What is the answer to this problem (5x- 10) - 9

Answers

the answer would be 5x-19

Can you trace this figure without
lifting your pencil from the paper
and without retracing any line?
Trace through your answers to
the exercises in the order they
are given.

Answers

Yes it looks like it but I’m going to try it out

Which ordered pair would form a proportional relationship with the point graphed below?
ТУ
40
30
20
10
-40-30-20-1904 10 20 30 40 x
2
Bo
(-10,-40)
440
O (40, 10)
(-5, -10)
(5, 20)
O (-10.-20)

Answers

Answer:

(10, -20)

Step-by-step explanation:

i took the test plz put me as brainist

Other Questions
| 1) Simplify: 12+8/2x3-(42+3)2) Simplify: 31 3+-53) What is 23% of 80?5/6b4) Using the image, name apair of corresponding angles.I5) Simplify: V169 How can Newtons laws explain why the brain is in danger of injury when there is impact to the head? What is Recreational Management in long term care? who has a greater responsibility in a democracy- the government or the people? Give three examples of how prehistoric people learn to adapt to their environment. 173.45 = 1.7345 10? missing number Consider the first order differential equationy + t/t2 25y = et/t 9For each of the initial conditions below, determine the largest interval aa. y(-7) = 6.4. b. y(-2. 5) = -0.5. c. y(0) = 0. d. y(4.5) = -2.1. e. y(14)= 1.7. As a result of the introduction of the Bessemer process in 1855, which industry most likely grew the most immediately thereafter? textile railroad meatpacking automobile the sum of fifty and a How do we represent Earths face? "Laissez Faire", as described by Alexis de Tocqueville, refers to - A - the government interfering in the economy (the business community) B - the government not interfering in the economy C - the government restricting the rights of its citizens D - all of the above if D equals 4x + 10 e f equals 2x - 1 + d f equals 9 x - 15 find DF Find an equation of the line graphed below: (picture included) how did the Sugar Act bring the colonists closer to Revolution How do I simplify this question 2y+4-13-y Evaluate u + xy, for u = 1, x = 3, and y = 6. The expression, 20(4x) + 500, represents the cost in dollars of the materials and labor needed to build a square fence with side length x feet around a playground. What is the meaning of the coefficient 20? Ais a precise way to represent data, but it does not identify trends in the data.O graphO tableOvariableO diagram Help...!!!!!!!!Please...!!!!!!!!!Its for today...!!!!! 8+(-8) + a = simplified