In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$: \[I=\frac{V}{R}.\]It's also true that resistance is directly proportional to the length of the wire. We have a piece of wire. We pass $50$ volts through this wire and measure $200$ milliamps of current. If I cut the wire in half and pass $300$ volts through it, how many milliamps of current will I measure?

Answers

Answer 1

Answer:

I =2.4 A

Step-by-step explanation:

Ohms law

I = V/R

50 V and 200 mA

The resistance is

200 * 10 ^-3 = 50/ R

R = 50 / 200 ^10^-3

R = 250

The resistance is directly proportional to the length of the wire

R = k * l  where k is the constant and l is the length

250  =   k * l

k = 250 / l

Now we cut the wire in 1/2 so the length is 1/2 l

R = 250/l * 1/2 l

R = 125

Back to Ohms law

I = V/R

I = 300  / 125

I =2.4 A

Answer 2

Answer:

2400 milliamps

Step-by-step explanation:

I = v/r and I is directly porpotional to V and Inversely porporitonal to R. it also says that I is 200 and v is 50 so right now the equation would be 200 = 50/R. So right now that would be 1/4 because 200 * 1/4 = 50. Now we Have 200 = 50/ 1/4. So if we cut the wire in half which means that R will now be 1/8, and V will be 300. The equation now looks like this, I = 300/ 1/8. 300 / 1/8 is really just 300*8/1 which is 2400.

2400 = 300/ 1/8


Related Questions

Where does AD cross the scale marked on the vertical line? What is the significance of this value in the context of the landfill problem​

Answers

Answer:

AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.

Step-by-step explanation:

PLATO

AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.

what is a simplified form of the expression 2c + 2 + 6c – 4?

Answers

Answer:

8c - 2

I just turned it in

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

now u can mark the other person as brainlyest

Step-by-step explanation:

6, 3, 4, 7, 3, 7, 8, 5, 7 i. Find the median ii. Find the mean iii. Find the modal mark

Answers

Answer:

i. 6

ii. [tex]5\frac{5}{9}[/tex]

iii. 7

Step-by-step explanation:

First organize the data from least to greatest.  3,3,4,5,6,7,7,7,8

To find the median, remove the extremes from the data over and over.

3,4,5,6,7,7,7

4,5,6,7,7

5,6,7

6

To find the mean, add all of the numbers and divide by 9

3+3+4+5+6+7+7+7+8=50

50/9=[tex]5\frac{5}{9}[/tex]

To find the modal mark, simply find the number present most in the data set: 7(occurs 3 times)

Hope it helps <3

express x^2-8x in the form (x-a)^2-b where a and b are integers

Answers

Answer:

[tex](x-4)^{2} -16[/tex]

Step-by-step explanation:

[tex]x^{2} -8x\\\frac{8}{2} =4\\4^{2} =16\\\\x^{2}-8x+16-16\\\\ (x-4)^{2} -16[/tex]

Collinear points are two or more points that lie on the same

Answers

Answer: Line

Explanation: Points that lie on the same line are called collinear points.

I'll show you an example.

Below, points E, B, and D are collinear since they lie on the same line.

I have highlighted the line green to see it more clearly.

However, C, B, and D would not be collinear

since they don't all lie on the same line.

Jill works as a lifeguard at a swimming pool. Last week, she worked for 32.65 hours. How many hours and minutes is this?

Answers

Answer:

32 hours and 65 minutes

Step-by-step explanation:

Answer:

The Answer is 33 hours and 5 minutes

Step-by-step explanation:

The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min

2 Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She
decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation
can be used to find the number of boxes, x, Kendal bought?
1) 2x - 12 - 60
3) 12x - 24 - 60
2) 12x-2-60
4) 24 - 12x - 60

Answers

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer to your question is 12x - 24=60

So we know that 12x will be the number of cookies.

It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.

Here is the work:

12 (x-2)= 60

12x-24=60

So the answer should be 12x -24 = 60

Hope this helps!

By:xBrainly

What is the solution to the equation 3 x+ 2 = -x-57
X=-8
o x=-7
o x=7
O X=8

Answers

Answer:

x = -59/4

Step-by-step explanation:

3 x+ 2 = -x-57

Add x to each side

3 x+x+ 2 = -x+x-57

4x+2 = -57

Subtract 2 from each side

4x +2-2 = -57-2

4x = -59

Divide each side by 4

4x/4 = -59/4

x = -59/4

what is the value of 4y when y= - 3

Answers

Answer:

-12

Step-by-step explanation:

We just plug in -3 and multiply.

4y

= 4(-3)

= -12

Hope this helped!

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
y = -2x + 4
6x + 3y =
a. -12
b. -4
c. 4
d. 12

Answers

Answer:

d. 12

Step-by-step explanation:

if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.

If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.

Answer: its d, 12

Step-by-step explanation:

intro to geometric sequences (help pls)

Answers

Answer:

Option B

Step-by-step explanation:

The formula for geometric sequence is given by:

[tex]a_{n} = a_{1}r^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] = nth term of sequence

[tex]a_{1}[/tex] = 1st term of the sequence

[tex]r[/tex] = common ratio (ration of the second term to the first term)

So,

Here:

[tex]a_{1}[/tex] = 12

[tex]r[/tex] = 6/12 = 1/2

Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:

=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]

An isosceles trapezoid has a perimeter of 43 kilometers. Its shorter base measures 1 kilometer and its longer base measures 4 kilometers. The two remaining sides have the same length; what is that length?

Answers

Answer: The length of each of the two equal sides is 19 km

Step-by-step explanation:. Subtract the giver lengths of the bases: 4+1= 5

43 - 5 = 38.

The trapezoid is iscosceles, so the remaining two sides are equal.

Divide. 38/2 = 19

I hope this helps you!

Which interval for the graphed function has a local
minimum of 0?
O [-3, -2]
O (-2, 0]
O [1, 2]
O [2,4]

Answers

Answer:  D. [2, 4]

You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.

Estimate the difference.
141 - 5.89
8
O 12
O 16
O 20

Answers

If you meant to say the fraction 141/8

then 141/8 = 17.625 which rounds to 18

5.89 rounds to 6

then we have 18-6 = 12

The answer is choice B

Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
7x + 3y = 30
-2x + 3y= 3
A. (6,5)
B. (6,3)
C. (3,3)
D. (3,5)

Answers

Answer:

C

Step-by-step explanation:

7x + 3y = 30 (equation 1)

-2x + 3y = 3 (equation 2)

9x = 27 (subtract the two equations to eliminate y)

x = 3 (divide by 9)

7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)

21 + 3y = 30 (7 * 3 = 21)

3y = 9 (Subtract 21)

y = 3 (divide by 3)

Answer is (3, 3)

Answer:

(3,3)

Step-by-step explanation:

7x + 3y = 30

-2x + 3y= 3

Multiply the second equation by -1 and add together to eliminate y

7x + 3y = 30

2x - 3y= -3

---------------------

9x + 0y = 27

Divide by 9

9x/9 = 27/9

x = 3

Now find y

-2x+3y = 3

-2(3) +3y =3

-6 +3y = 3

Add 6 to each side

3y = 3+6

3y=9

Divide by 3

y = 3

When she subtracts 4 from both sides, 1/2x=-1.2x result.What is the value of x

Answers

Answer : x = 0
Explanation :
1/2x = -1/2x
1/2x + 1/2x = 0 ( pull the one with smaller value to the bigger ones )
2/2x = 0
x= 0

The world's oceans hold roughly 1.4 x 109 cubic kilometers of water. A typical bucket holds roughly 20,000 cubic centimeters of water. If there are 1015 cubic centimeters in a cubic kilometer, how many bucketloads would it take to empty the world's oceans?

Answers

Answer:

It'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean

Step-by-step explanation:

Given

[tex]World\ Ocean: 1.4 * 10^9 km^3[/tex]

[tex]Bucket: 20,000 cm^3[/tex]

[tex]1 km^3 = 10^{15} cm^3[/tex]

To get the number of bucket loads, we simply divide the size of the ocean by the size of the bucket;

[tex]Number = \frac{Ocean\ Size}{Bucket\ Size}[/tex]

[tex]Number = \frac{1.4 * 10^9 km^3}{20,000cm^3}[/tex]

Expand the numerator

[tex]Number = \frac{1.4 * 10^9 * 1km^3}{20,000cm^3}[/tex]

Recall that [tex]1 km^3 = 10^{15} cm^3[/tex]

So, the expression becomes

[tex]Number = \frac{1.4 * 10^9 * 10^{15} cm^3}{20,000cm^3}[/tex]

Simplify the numerator using laws of indices

[tex]Number = \frac{1.4 * 10^{9+15} cm^3}{20,000cm^3}[/tex]

[tex]Number = \frac{1.4 * 10^{25} cm^3}{20,000cm^3}[/tex]

Expand the denominator

[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10,000cm^3}[/tex]

[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10^4\ cm^3}[/tex]

Split fraction

[tex]Number = \frac{1.4}{2} * \frac{10^{25} cm^3}{10^4\ cm^3}[/tex]

[tex]Number = 0.7 * \frac{10^{25}}{10^4\ }[/tex]

Simplify fraction using laws of indices

[tex]Number = 0.7 * 10^{25-4}[/tex]

[tex]Number = 0.7 * 10^{21}[/tex]

[tex]Number = 7 * 10^{20}[/tex]

Hence, it'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean

use the scale factor 1 : 3 and a proportion to find the length of ST ???

Answers

Answer:

ST is 5

Step-by-step explanation:

Divide the larger triangle's BC by 3.

Tom made 5,000 mL of soup. He packed 2.5 liters of the soup in his kids' lunches. He froze the rest of the soup. How many milliliters of soup did Tom have left to freeze?

Answers

Answer:

Amount of frozen soup = 2500 mL

Step-by-step explanation:

We are told that tom made 5,000 mL of soup.

We are also told he packed 2.5 Litres into his kids' lunches.

Now, from conversions,

1 liter = 1000 mL

Thus,

2.5 litres = 2.5 × 1000 = 2500 mL

Now, we are told he froze the rest of the soup.

Thus;

Amount of frozen soup = total amount of soup made - amount given to kids' lunch pack.

Amount of frozen soup =

5000 - 2500 = 2500 ml

The local high school hosted a hockey tournament. Tickets were sold before the tournament and at the door. When reviewing the ticket sales, the director of the tournament realized that there were 80 more tickets purchased before the tournament than at the door. A total of 820 tickets were sold. Which statements about ticket sales are true

Answers

Answer:

380 tickets were sold at the door and 440 tickets were sold before

Step-by-step explanation:

x = tickets sold before

y = tickets sold at the door

x + y = 820

x = y + 80

y + 80 + y = 820

   -80           -80

2y = 740

y = 370

820 - 380 = 440

x = 440

Wendy described four triangles as shown below: Triangle A: All sides have length 9 cm. Triangle B: Two sides have length 10 cm, and the included angle measures 60°. Triangle C: Two angles measure 50°. Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle? Triangle A Triangle B Triangle C Triangle D

Answers

Answer:

The first one

Step-by-step explanation:

because all of the sides have the same measurement.

Answer:

Triangle C

Step-by-step explanation:

Triangle A: All sides have length 9 cm.

By SSS this is a unique triangle.

Triangle B: Two sides have length 10 cm, and the included angle measures 60°.

By SAS this is a unique triangle.

Triangle C: Two angles measure 50°.

This gives us at most SS Similarity, so we do not have a unique triangle. The triangle sides can be any length. This is not unique.

Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?

This gives us ASA, so we have a unique triangle.

Answer: Triangle C

find the length of the diagonal of a rectangle whose length is 15 cm and breadth is 8cm

Answers

Answer:

I hope it will help you......

Answer:
Given: length=15cm and breadth=8 cm
To find diagonal
SOLUTION :BY PYTHAGORAS THEOREM
H^2=P^2+B^2
H^2=15^2+8^2
H^2=225+64
H^2=289
H=root of 289
H=17cm

HENCE,THE DIAGONAL IS 17cm
HOPE IT HELPS!!!!!
PLEASE MARK BRAINLIEST!!!!!

Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x. x 1 2 3 4 5 6 7 f(x) One-fourth StartFraction 1 Over 16 EndFraction StartFraction 1 Over 64 EndFraction ? StartFraction 1 Over 1024 EndFraction StartFraction 1 Over 4096 EndFraction StartFraction 1 Over 16,384 EndFraction a. StartFraction 1 Over 256 EndFraction c. StartFraction 1 Over 84 EndFraction b. 256 d. StartFraction 1 Over 512 EndFraction Please select the best answer from the choices provided A B C D

Answers

Answer:c

Step-by-step explanation

Answer:

the Answer is A

Step-by-step explanation: took the test

Alisha designs a new tea blend by mixing Sweet Rose Tulsi tea with Orange blossom green tea. Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If she wants to blend 16 ounces of the tea blend to sell for $4.23 per ounce, how many ounces of each tea should she use?

Answers

Answer: She should use 12 ounces of Sweet Rose Tulsi tea and 4 ounces of Orange blossom green tea.

Step-by-step explanation:

Let x represent the number of ounces of Sweet Rose Tulsi tea that she should use.

Let y represent the number of ounces of Orange blossom green tea that she should use.

She wants to blend 16 ounces of the tea blend. It means that

x + y = 16

x = 16 - y

Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If the the tea blend is to sell for $4.23 per ounce, then the 16 ounces would be sold for 16 × 4.23 = 67.68

it means that

4.98x + 1.98y = 67.68- - - - - - - - - - -1

Substituting x = 16 - y into equation 1, it becomes

4.98(16 - y) + 1.98y = 67.68

79.68 - 4.98y + 1.98y = 67.68

- 4.98y + 1.98y = 67.68 - 79.68

- 3y = - 12

y = - 12/-3

y = 4

x = 16 - y = 16 - 4

x = 12

11) The Cost of maintaing a
school is party
Constant and partly varies as the number of
Pupils with 50 pupils the cost is $15705 with 40 pupils, it is $13305
find the cost when there are 44 pupils
B if the fee per pupil is 360 what is the
Least number of pupils for which the school can be run without loss

Answers

Answer:

a). Cost of 44 pupils = $14265

b). Least number of pupils = 31

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The cost of maintaining a school is partly constant and partly varies as the number of pupils. With 50 pupils, the cost is $15,705.00 and with 40 pupils, it is $13,305.00.

(a) Find the cost when there are 44 pupils.

(b) If the fee per pupil is $360.00, what is the least number of pupils for which the school can run without a loss?

Let the equation representing the total cost of maintaining a school is,

C = ax + b

Where C = Total cost of maintaining a school

a = Fee per pupil

b = Fixed running cost

x = number of pupils

a). Cost of 50 pupils = $15705

    Equation will be,

    15705 = 50a + b -------(1)

    Cost of 40 pupils = $13305

    Equation will be,

    13305 = 40a + b --------(2)

    By subtracting equation (2) from equation (1),

    15705 - 13305 = (50a + b) - (40a + b)

    2400 = 10a

    a = 240

    From equation (1),

    b = 3705

    Equation representing the total cost will be,

    C = 240x + 3705

    If x = 44

    C = 240(44) + 3705

    C = $14265

b). If the fee per pupil 'a' = $360

    Let the number of pupils = p

    Total fee of 'p' pupils = $360p

    Total cost to run the school will be = 3705 + 240p

    For the school not to be in the loss,

    360p ≥ 3705 + 240p

    360p - 240p ≥ 3705

    120p ≥ 3705

    p ≥ [tex]\frac{3705}{120}[/tex]

    p ≥ 30.875

    Therefore, to run the school without loss, number pupils should be at least 31.

5/8 divided 3/8 = a b/c

A=1 , b =3 ,c =2
A=1 b =40 c =24
A= 1 b =16 c =24
A=1 b =2 c =3

Answers

The answer is A=1 b=40 c=24

Which equation results from adding the equations in this system? (Negative 6 x + 4 y = negative 8) and (6 x minus 12 y = 14.) Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22

Answers

Answer: Negative

- 8y = 6

Step-by-step explanation:

-6x + 4y = -8

6x - 12y = 14

--------------------------

- 8y = 6

-5y²+2y=-2 Use the quadratic to solve the equation

Answers

Answer:

the answer in the paper

my correction of there ia am error in the my answer

Answer:

                 [tex]x\in\left\{\dfrac{1+\sqrt{11}}{5}\,;\ \dfrac{1-\sqrt{11}}{5}\right\}[/tex]

Step-by-step explanation:

                                   [tex]-5y^2+2y=-2\\\\-5y^2+2y+2=0\\\\a=-5\,,\ \ b=2\,,\ \ c=2\\\\\Delta=2^2-4\cdot(-5)\cdot2=44\quad\implies\quad\sqrt\Delta=2\sqrt{11}\\\\x_1=\dfrac{-2-2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1+\sqrt{11})}{-2\cdot5}=\dfrac{1+\sqrt{11}}{5}\\\\x_2=\dfrac{-2+2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1-\sqrt{11})}{-2\cdot5}=\dfrac{1-\sqrt{11}}{5}[/tex]

Sammy has 34 pizzas. He gave 4 to his colleagues at work and the rest he brought home to deliver to three separate parties. How many pizzas did Sam bring to each party?

Answers

Answer:

Sammy delivered 10 pizzas to each party.

Step-by-step explanation:

34 pizzas - 4 pizzas

= 30 pizzas

30 pizzas/ 3 parties

= 10 pizzas per party

Answer:

Hey there!

Sammy delivered four to his colleagues. Thus, he has 34-4, or 30 pizzas left.

He split these between three parties, thus each party received 10 pizzas.

Hope this helps :)

plz give me correct answer and no spammng,alphabets,links,website,sorry,i don't know,have a great day,plz appreciate my work then I will answer if done immediatly reported also only answer if you have done this before or just ask your parents that is your answer correct

Answers

Answer to b) he jumps 0.3 metres further
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