Standard electrical voltage in Europe is 220 volts.
a. Find the impedance in a standard European circuit if the current is 22 - 11i amps.
b. Find the current in a standard European circuit if the impedance is 10 - 5i ohms.
c. Find the impedance in a standard European circuit if the current is 20i amps.​

Standard Electrical Voltage In Europe Is 220 Volts. A. Find The Impedance In A Standard European Circuit

Answers

Answer 1

Applying the general Ohm's Law, it is found that:

a) The impedance is of 8 + 4i ohms.

b) The current is of 17.6 + 8.8i amperes.

c) The impedance is of -11i ohms.

Ohm's Law states that voltage is current multiplied by impedance, that is:

[tex]V = IZ[/tex]

Standard voltage of 220 volts, thus [tex]V = 220[/tex].

Item a:

Current is 22 - 11i amps, thus [tex]I = 22 - 11i[/tex]. Then:

[tex]V = IZ[/tex]

[tex]220 = (22 - 11i)Z[/tex]

[tex]Z = \frac{220}{22 - 11i} \times \frac{22 + 11i}{22 + 11i}[/tex]

Considering [tex]i^2 = -1[/tex]

[tex]Z = \frac{220(22 + 11i)}{605}[/tex]

[tex]Z = 0.3636(22 + 11i)[/tex]

[tex]Z = 8 + 4i[/tex]

The impedance is of 8 + 4i ohms.

Item b:

Impedance is 10 - 5i ohms, thus [tex]Z = 10 - 5i[/tex]. Then

[tex]V = IZ[/tex]

[tex]220 = (10 - 5i)I[/tex]

[tex]I = \frac{220}{10 - 5i} \times \frac{10 + 5i}{10 + 5i}[/tex]

[tex]I = \frac{220(10 + 5i)}{125}[/tex]

[tex]I = 1.76(10 + 5i)[/tex]

[tex]I = 17.6 + 8.8i[/tex]

The current is of 17.6 + 8.8i amperes.

Item c:

Current is 20i amps, thus [tex]I = 20i[/tex]. Then:

[tex]V = IZ[/tex]

[tex]220 = 20iZ[/tex]

[tex]Z = \frac{220}{20i} \times \frac{20i}{20i}[/tex]

[tex]Z = -\frac{220 \times 20i}{400}[/tex]

[tex]Z = -11i[/tex]

The impedance is of -11i ohms.

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a.

Step-by-step explanation:

25x^2-15x+25

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5.a.

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Step-by-step explanation:

q 5)

a) as it's an Isosceles triangle so both the given sides are equal

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If the measure of ∠3=(2y+20)∘ and the measure of ∠5=(210−4y)∘, what is the measure of ∠4 ?

Enter the correct answer in the box.

Answers

Answer:

∠4 = 110

Step-by-step explanation:

∠3 + ∠5 = 180    {Co-interior angles are supplementary}

2y + 20 + 210 - 4y = 180

2y - 4y + 20 + 210 = 180    {Combine like terms}

-2y + 230 = 180

Subtract 230 from both sides

-2y = 180 - 230

-2y = -50  

Divide both sides by (-2)

  y = -50/-2

y = 25

∠5 = 210 - 4y

      = 210 - 4*25

       = 210 - 100

∠5 = 110

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∠ 4 = 110°

Answer:

Step-by-step explanation:

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Answer:

y = -3x - 6

Step-by-step explanation:

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Answer: I believe those would be opposite angles (aka vertically opposite angles).

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The common difference is the amount between each number in an arithmetic sequence.

For example, the sequence 4,7,10,13,... has a common difference of 3.

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Answer:

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Step-by-step explanation:

Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.

Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

If you do 13 x 182 = 2,366

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Algebra is the study of mathematical symbols, while logic is the manipulation of those icons.

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Multiply the fraction number 13/14 by 13 in numerator and denominator. Then the expression is written as,

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Step-by-step explanation:

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your answer is correct

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Answer:

Assuming you mean 7 divided by 9/7, the answer would be 5 4/9. If you can clarify your question though if I'm wrong, I'd love to redo the problem and get you the right answer! ^-^

Step-by-step explanation:

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Answer:

Well in this case the solution would be x = 19/9, I hope this helps! :)

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Answer:

Step-by-step explanation:

2) 133 + a = 180 {Linear pair}

            a = 180 - 133

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47 + b = 180

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x = 133 +30

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Answer:

Line 1

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Line 2

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Line 3

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Answers

Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).

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First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.

Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.

The margin of error is of:

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[tex]M = 2.2622\frac{9}{\sqrt{10}} = 6[/tex]

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Answer:

The x coordinate of S is b.

Step-by-step explanation:

a)

The coordinates of Point Q are:

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= (0-2c)/(2b-2a)

= -c/(b-a)

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Its equation is

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= (a, c)

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= (2c)/2a

= c/a

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y - c =  -a/c(x - a)

y  =  -a/c(x - a) + c

b)

So:

(b - a)/c ( x - (a+b)) + c

=  -a/c(x - a) + c

(b - a)(x - a - b) + c^2 = -a(x - a) + c^2

(b - a)(x - a - b) = -a(x - a)

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x = b = the x coordinate of S.

c). The point R has the same x coordinate as S So RS is perpendicular to OB.

The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?

Answers

Answer:

Step-by-step explanation:12-4=8

7. A herd of 100 caribou was moved to a
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by 10% the first year and then increased
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a) Find the population after the second
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b) Explain why there was not a 30%
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Answers

Answer:

The population would probably be 40%

Step-by-step explanation:

10 x 2 = 20

20 x 2 = 40

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Enter your answer as a mixed number in simplest form in the box

Answers

-712x=3.85
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x=-0.0054073

Answer:

The answer is -6 3/5! Hope this helps you.

Anyone know how to solve this? Pease show how you got the answer:)

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Answers

Answer:

0

Step-by-step explanation:

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0
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