one-third of the sum of x and 2 as an expression ​

Eat the Legendry Fruit: And play King legcy

Step-by-step explanation:

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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Answer:

What do you need help with? Please go easy on me. I'm just a kid.

Step-by-step explanation:

Answer:

The water level in the glass decreases.

Step-by-step explanation:

Looking at these choices, you should think of the cycles and phases of matter. Water decreasing from a cup would most likely mean that it evaporated, which is a phase change. It is going from a liquid to a gas, which is water vapor.

Hope this helped! (:

Answer:

Step-by-step explanation:

The formula for electrical power, P, is P = I2R , where I is current and R is resistance. The formula for I in terms of P and R is 1 I= P/R 2 3 I=P-R2 2 I= square root of P/R 4 I= square root of P-R.

Answer:

£56

Step-by-step explanation:

sadly already payed £42 of the price

so 384-42= 342

now she gonna pay the same amount of money every month from what left to be payed

so 342÷6=56

she gonna pay £56 every month for 6months

Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Given the situation, Sally wants to purchase a dishwasher. The cost of the dishwasher is £384. Sally will make a deposit of £42 and the remaining balance over the course of six equal monthly installments.

Sadly, I've already saved £42 on the purchase.

=384-42

= 342

She will now make equal monthly payments from the remaining balance.

=342/6

=56

Thus, Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

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The exterior angle property of a triangle

[tex] \Large\begin{gathered} {\underline{\boxed{ \rm {\red{y \: + \: 45 \degree \: = \: 100 \degree}}}}}\end{gathered}[/tex]

Now , solving this liner equation

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: + \: 45 \degree \: = \: 100 \degree[/tex]

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: = \: 100 \degree \: - \: 45 \degree \:[/tex]

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: = \: 55 \degree[/tex]

Answer:

Your answer is Y = 55°.

Step-by-step explanation:

x = 180 - 100

x = 80

80+45 = 125

180-125 = 55

Hope this helps!

Answer:

$1559.40

Step-by-step explanation:

1. Find the perimeter of the garden

[tex]14\frac{2}{3} + 14\frac{2}{3} + 10\frac{1}{3} + 10\frac{1}{3} = 50 yd[/tex]

2. Convert to feet

1 yd = 3ft

50 x 3 = 150

50 yd = 150 ft

3. Divide by 2.5 to find out how many sections are needed

150/2.5 = 60 sections

4.  Multiply by 25.99

60 x 25.99 = 1559.4

It will cost $1559.40

Answer:

[tex] \sqrt{ - 2} + \sqrt{ - 18} \\ = \sqrt{2} i + \sqrt{ - 2} \sqrt{9} \\ = \sqrt{2} i + 3\sqrt{2} i \\ = 4\sqrt{2} i[/tex]

The correct statements about the scenario are;

According to the function given;

Evidently, the function, p(t) represents the number of people that can sit when t tables are available.

In essence, the function resembles that of a general arithmetic progression with first term, a = 4.

The common difference, d = 2.

The statements which are correct are therefore as listed above.

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Answer:

31 cm

Step-by-step explanation:

the scatterplot is rising, so based on an assumption of where a line going through the scatterplot is going to go, you get 41

Answer:

are there any pictures?

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

a to there powe8 and a to the power1

Answer: Slopes

Step-by-step explanation:

1. slope is [tex]\frac{4}{3}[/tex]

2. slope is [tex]\frac{1}{2}[/tex]

3. Slope is [tex]\frac{4}{2}[/tex] or 2

4. slope is [tex]\frac{3}{2}[/tex]

Answer:

8 refills

Step-by-step explanation:

Set up an equation. You know that Mr. E spent his entire $50, so you start by making one side 50. Then, you know that the total is the same as the sum of everything purchased, so on the other side, add the souvenir, the food, and the refillable drink term (2.5x, with x being the number of refills, the thing the question is asking for). This gets you an equation of 50 = 20 + 10 + 2.5x. Isolate x by getting the x term by itself. In this case, you subtract 20 and 10 from both sides, leaving you with 20 = 2.5x. Finally, divide both sides by 2.5 to isolate x completely, leaving you with 8 = x, or x = 8. Don't forget your units (:

Answer:

8 refills

And the answer to the comment question is $175 for each iPhone 11

Step-by-step explanation:

Hope this helps :)

Pls mark brainliest :3

And have an amazing day <3

Answer:

Step-by-step explanation:

Plot the points x-intercept and intercept on the graph. Join the two points to get the straight line. This is the graph of the linear equation.

Answer:

15

Step-by-step explanation:

let the breadth be x

let the length be x+8

perimeter of rectangle=2 (length +breadth)

so, 2 (x+x+8)=44cm

=2 (2x+8)=44

=4x + 16=44

=4x= 44-16

=4x= 28

=x = 28÷4

=x= 7

therefore,

breadth is 7 (x)

length is 7+8 (x+8)

=15

Answer:

90 000 000 000 Grains

Step-by-step explanation:

one grain equal approximately 0.00007 grams.

convert 6300 kg into grams (multiply by 1000) and that equals 6 300 000g.

divide that by the weight of a single grain and you get the number of grains in that weight. So 6300000/0.00007=90 000 000 000 grains.

The number of grains of sand are there in 6300 kg of sand is 90,000,000.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].

Given that, one grain of this sand approximately weighs [tex]7\times10^{-5}[/tex] g.

6300 kg of sand

Number of grains = [tex]\frac{6300}{7\times10^{-5}}[/tex]

= [tex]900\times10^5[/tex]

= 90,000,000

Therefore, the number of grains of sand are there in 6300 kg of sand is 90,000,000.

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Answer:

Step-by-step explanation:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. A rational function is a function of the form f(x)=p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .

Answer:

G.

Step-by-step explanation:

Answer:

Exact Form:

−4/11

Decimal Form:

−

0.36

Step-by-step explanation:

Subtract 5/11 from 9/11 to get your answer.

Simplify the expression.

-kiniwih426

Answer:

4 × 8 = 32 so it is positive

Step-by-step explanation:

Answer:

Hi, 4x8 is positive.

Step-by-step explanation:

4x8=?

4+4+4+4+4+4+4+4=?

4x8=32

Since both numbers are positive, the answer will also be positive.

Hope this helps!!

Answer:

30517578125

Step-by-step explanation:

answer:

16.20

step by step

Answer:

c

Step-by-step explanation:

The solution is, C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

We are given,

Triangles ABC and WXY having ∠A=∠W and ∠B=∠X

Now, it is give that the triangles hold AAS theorem.

Since, we already have two corresponding angles equal i.e. ∠A=∠W and ∠B=∠X.

So, by AAS Theorem, the corresponding sides between these angles must be  equal.

Thus, we have, AB = WX.

Hence, option C is correct. C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

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Answer:

I would say the answer is A) y = x + 3

Step-by-step explanation:

Reason is, if you replace x with the different numbers listed under x and add 3 to them, they would equal the corresponding numbers listed under y.

For example:

x-value

⬇

(5) = (2) + 3

⬆

y-value

Hope this helps :)

The y-intercept, which represents the point the graph crosses the y-axis, is the point where x = 0, or the usual start of a time based function

The true statements about the y-intercept are;

B. The y-intercept is 10

D. The y-intercept tells me that they paid the babysitter $10 to buy her lunch

Reasons:

The points on the graph are;

[tex]\begin{array}{|c|cc|} \mathbf{Time }&&\mathbf{Cost}\\0&&10\\1&&20\\2&&30\\3&&40\\4&&50\\5&&60\end{array}\right][/tex]

The slope of the graph is therefore; [tex]\dfrac{60 - 50}{5 - 4} = 10[/tex]

The equation of the graph is y - 60 = 10·(x - 5)

y = 10·x - 50 + 60 = 10·x + 10

The y-intercept is give by the point where the x-value is zero

At the start when x = 0, the amount paid to the baby sitter is y = 10×0 + 10 = 10

Therefore, the y-intercept which is $10, represent the amount the family

paid to the babysitter at the start for her lunch

The correct statements are therefore;

Option B; The y-intercept = 10

Option D; The y-intercept indicates the amount given to the babysitter for

her lunch

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Answer:

d and b i did the quiz

Step-by-step explanation: