Use this scenario to answer questions 3-4: Peter was a waiter that was paid at a rate of $8 per hour plus tips. He earned a total of $200 including $54 in tips.


Given the scenario above, write an equation to represent the scenario. Let h = the number of hours
Free brainliest included! :)

Answer:

The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]

Step-by-step explanation:

Voltage Sources in Series

When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.

The figure shown has three voltage sources of values:

[tex]2 + 6\mathbf{i}[/tex]

[tex]a + b\mathbf{i}[/tex]

[tex]2 - 5\mathbf{i}[/tex]

The sum of these voltages is:

[tex]V_t=4+a+(6+b-5)\mathbf{i}[/tex]

Operating:

[tex]V_t=4+a+(1+b)\mathbf{i}[/tex]

We know the total voltage is [tex]6-3\mathbf{i}[/tex], thus:

[tex]4+a+(1+b)\mathbf{i}=6-3\mathbf{i}[/tex]

Equating the real parts and the imaginary parts independently:

4+a=6

1+b=-3

Solving each equation:

a = 2

b = -4

The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]

The voltage at the middle source is;

E2 = (2 + 4i) V

From the image, we see the voltage at each point as;

E1 = (2 + 6i) V

E2 = (a + bi) V

E3 = (2 - 5i) V

The given voltages are in series and as such the total voltage will be;

E_t = E1 + E2 + E3

We are told that the total source voltage is (6 - 3i)V. Thus;

(6 - 3i) = (2 + 6i) + (a + bi) + (2 - 5i)

Rearranging gives;

(a + bi) = 6 - 3i - (2 + 6i) - (2 - 5i)

(a + bi) = 6 - 3i - 2 - 6i - 2 + 5i

(a + bi) = 2 - 4i

The middle source voltage is E2 = (a + bi) V. Thus;

E2 = 2 - 4i

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Answer:

Step-by-step explanation:

The right statistical procedure is by applying a hypothesis test that uses a single mean. Here, if we are to talk about comparison, it should be between the mean IQ of the students in the class and the national average IQ. The class is not for a comparison between two population means because it is viewed as the sample of the population. That is to say, the required task is to determine if the sample mean is greater than the population mean. We can conclude that this obeys a hypothesis test rather than a confidence interval.

Answer:

c=1

Step-by-step explanation:

subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1

Answer:

c = 1

Step-by-step explanation:

The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

4.4 would you let me know if you need an explanation and pls don't delete.

Hmmmm i think its 5/22

Step-by-step explanation:

So basically how i got it was 2/5*11

And that got me 5/22

I do not think you could simplify this

Either I'm very smooth brain or you can't simplify 5/22

Answer:

see explanation

Step-by-step explanation:

1

(a)

If 2 chords of a circle intersect then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord.

(b)

If 2 secants are drawn from an external point to a circle then the product of the measures of one secant's external part and the entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

(c)

If a tangent and a secant are drawn from an external point to a circle , then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant.

2

A radian is defined as the angle subtended at the centre of a circle by an arc equal to the radius of the circle.

1 revolution = 360° = 2π radians

1 radian = [tex]\frac{360}{2\pi }[/tex] ≈ 57°

3

(a)

An inscribed circle of a triangle is a circle drawn inside a circle so the circle barely touches the sides of the triangle.

(b)

The incentre is at the point of intersection of the triangle's 3 angle bisectors.

(c)

A circumscribed circle of a triangle ( circles drawn around the triangle so that the circle passes through each of the triangles's vertices.

(d)

The circumcentre is at the intersection of the perpendicular bisectors of the triangle's sides.

'

Answer:

C Marie's sample is biased.

Step-by-step explanation:

It is biased because she doesn't know. It is just 1 hour so like there could be like a lot of people at 4-5 and not a lot at 10-11

Hope this helps!

Merry Christmas

Answer:

Give the other person brainliest.

Step-by-step explanation:

The other person is correct.

Answer:reflection image of the other

Source:trust me bro

No picture, nothing to rate here.

Answer:

The answer is C=4. Hope it helps :)

Answer:

as x increases, y increses

the parabola grows wider and taller, meaning that the y and x values will both increase:)

Answer:

B for the first graph (as x increases, y increases), D for the second graph (as x increases, y decreases), D for the third graph (minimum at y = -9), and A for the forth graph (the graph opens up because the a value in the equation is positive)

Answer:

the whole world

Step-by-step explanation:

Answer:a square

Step-by-step explanation:a square

106 divided by 1/2 in simplified form will be written as 212 .

Given,  106 divided by 1/2 .

Division property:

The rules for division are:

(1) positive ÷ positive = positive

(2) positive ÷ negative = negative

(3) negative or ÷ negative = positive

Solve the division:

[tex]106 /\frac{1}{2}[/tex]

= 106 × 2

= 212

Know more about division,

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Answer:

There is one solution and that answer is mixed number form  1 5/7 or exact form 12/7

Step-by-step explanation:

Answer:

yes it's easy

Step-by-step explanation:

y=-2x

it may help you to understand.

Answer:

57.00

Step-by-step explanation:

welcome

Answer:

1.80

Step-by-step explanation:

60 x .03=1.80

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

10(4 - 7)/-(4 - 1)

40-70/-4+1

-30/-3

=10

Answer:

Hewo, Mee

202408

Answer:

202408

Step-by-step explanation:

angle2=180-152=28

angle3=28

angle4=152

angle5=152

angle6=28

angle7=28

angle8=152

The values of the marked angles: angle 2, angle 3,  angle 4,  angle 5,  angle 6,  angle 7,  angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.

When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.

Given, angle 1 = 152°

We know, angle 1 + angle 2 is 180°.     (supplementary angles)

Therefore, angle 2 = (180° - 152°) = 28°.

Again, angle 2 = angle 3.             (opposite angles)

Therefore, angle 3 = 28°.

Similarly, angle 1 = angle 4

Therefore, angle 4 = 152°.

Now, angle 1 = angle 5        (corresponding angle)

Therefore, angle 5 = 152°.

Now, angle 2 = angle 6        (corresponding angle)

Therefore, angle 6 = 28°.

Now, angle 3 = angle 7        (corresponding angle)

Therefore, angle 7 = 28°.

Now, angle 4 = angle 8        (corresponding angle)

Therefore, angle 8 = 152°.

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Answer:

(2x - 4)(2x + 7) = 4x^2 +14x - 8x -28

= 4x^2 + 6x -28

(x)(x+3) = x^2 + 3x

(4x^2 + 6x - 28) - ( x^2 + 3x ) = 3x^2 + 3x -28

Answer: -2

Step-by-step explanation:

You multiply the number before in the sequence by -2 to get the number that follows.

2*-2 = -4

-4*-2 = 8

And so on...

Answer:

It's X^1 = 3, x^2 =6  

Step-by-step explanation:

Step-by-step explanation:

m <5=71

m <8=109

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

Answer:

∠5 = 71°

∠8 = 109°

Step-by-step explanation:

∠1 = 71°

∠5 = 71°  (the same as ∠1 = 71°) its a corresponding angle

∠8 = 180 - ∠5

∠8 = 180 - 71

∠8 = 109°

(A): 825

(B): 42,900

Answer:

Positive

Step-by-step explanation:

It's positive because the person is gaining 4 yards, not losing it.