write 2.96 as a mixed number or fraction in simplest form show your work

The first quartile is the middle of the first half.

Which would be the number 12 I think

Answer:

voltage drop across 40Ω inductor is 41.2V

Step-by-step explanation:

We are given that a series RL circuit contains two resistors 27Ω, 47Ω and two inductors which have reactances 50Ω,40Ω.

Hence total resistance in the circuit =27+47=74Ω

Total reactance=50+40=90Ω

Since all of these elements are in series, same current goes through all the elements.

And that current I=[tex]\frac{E_{T}} {Z}[/tex]

Given Applied voltage,[tex]E_{T}=120V[/tex]

Hence [tex]I=\frac{120}{\sqrt{74^{2}+90^{2}}} =\frac{120}{\sqrt{13576}} =1.03A[/tex]

Therefore voltage drop on the inductor that has 40Ω of reactance=40X1.03

                                                                           =41.196≈41.2V

Final answer:

The voltage drop on the inductor in a series RL circuit with a 40 Ω reactance is calculated using the total impedance and Ohm's Law to find the circuit current, which is then multiplied by the inductor's reactance. The calculated voltage drop is 41.2 V.

Explanation:

The student is dealing with an RL circuit and needs to calculate the voltage drop on an inductor with a given reactance in that circuit. In an RL circuit, the total impedance (Z) is found by combining the resistive (R) and inductive reactance (XL) components together, where R is the sum of individual resistances and XL is the sum of individual reactances. Since the components are in series, the total resistance would be R = 27 Ω + 47 Ω = 74 Ω and the total reactance would be

XL = 50 Ω + 40 Ω = 90 Ω.

The total impedance (Z) can be calculated using the Pythagorean theorem for the right triangle formed by R and XL:

=  [tex]\sqrt{(74^2 + 90^2)[/tex]

= √(5476 + 8100)

= √(13576) ≈ 116.52 Ω.

With the total impedance known, we can find the current in the circuit (I) using Ohm's Law:

I = V/Z

= 120 V / 116.52 Ω

≈ 1.03 A.

The voltage drop across an individual inductor can be found by ∗ V = I * XL, where XL is the inductive reactance of the inductor in question. Therefore, the voltage drop for the inductor with a 40 Ω reactance is:

V = 1.03 A * 40 Ω

= 41.2 V.

This is the voltage drop on the inductor with a 40 Ω reactance.

The expression would be 5(p + 10).

answer:

5p + 10

step-by-step explanation:

product: multiplied

so when this equations says the product or 5 and p it is meaning 5 and p multiplied so our equation would start out with 5 × p or to make it simpler 5p

increased: added by

the next part is increased by 10 so that means we need to add + 10 to the end of our equation making our answer 5p + 10

Answer:

480

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer:

The correct option is:  A.  X= -4

Step-by-step explanation:

The equation of the given line is:  [tex]x=7[/tex]

As the given line is a vertical line parallel to y-axis, that means the slope of the line is 'undefined' or [tex]\frac{k}{0}[/tex], where [tex]k[/tex] is any real number.

Now, the slope of the line which is parallel to the given line will be also [tex]\frac{k}{0}[/tex], as the slopes of parallel lines are always equal.

The parallel line is passing through the point (-4, 1). So, using point-slope form.......

[tex]y-y_{1}= m(x-x_{1})\\ \\ y-1=\frac{k}{0}(x-(-4))\\ \\k(x+4)=0\\ \\ x+4=0\\ \\ x=-4[/tex]

Thus, the equation of the parallel line will be:  [tex]x=-4[/tex]

Answer:

1) point-slope form

2) slope intercept form

Explanation:

1) y−b=m(x−a)

m = slope

(a, b) A point that the line passes through

2) y=mx+b

m = slope

b = y-intercept

The required difference between slope intercept form and point-slope form line is when we have slope and y-intercept we use slope-intercept equation and when we have coordinates of a point on the line we use the point-slope form of the line.

The slope of the line is the tangent angle made by the line with horizontal. i.e. m =tanx where x in degrees.

The slope-intercept form of the equation of a line is,

y =  mx +c   - - - - - - (1)

The point-slope form of the line is given by,

(y - y1) = m(x - x1)    - - - - - - (2)
where m is the slope of equation and m = (y2 - y1) / (x2 - x 1).

Thus, we use a slope-intercept form of the equation when we have given the slope of the line and y-intercept of the line. when we have a coordinate of one point and slope or more than two coordinates of points on the line so we use the point-slope form of the equation.

Learn more about slopes here:
https://brainly.com/question/3605446

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There are 61 people to begin with.

hope it helps.

the answer's 41 degrees. If the total sum of the angles in a triangle is 180, and a right angle is 90, and the other angle is 49 degrees. 180-90-49=41, so that's your answer! Hope I helped you.

i believe the answer would be 41 because the triangle is 180 degrees and so you would add the 49 and the 90 degree angle then subtract that from 180, then you get 41.

Answer: 10.8 yards

Step-by-step explanation:

Given: Total fabric Jennifer has = 84.5 yards

Total identical curtains she made = 6

Remaining fabric = 19.7 yards

Thus, fabric used fro 6 curtains = [tex]84.5-19.7=64.8\ yards[/tex]

Now, fabric she use for each curtain = [tex]\frac{64.8}{6}[/tex] yards

Thus, fabric she use for each curtain= 10.8  yards

Hence, Jennifer use 10.8 yards fabric per curtain.

Answer:

10.8 yards

Step-by-step explanation:

84.5 - 19.7 = 64.8

64.8 / 6 = 10.8 yards

Jennifer can use 10.8 yards per curtain.

a theater has 144 seats. the theater sells tickets for $6 per adult and $4 per child

Let x be the number of adult tickets

and y be the number of child tickets

Total number of tickets sold is 144

x + y = 144  -----------> equation 1

the theater sells tickets for $6 per adult and $4 per child and earned $660

6x + 4y = 660  ----------> equation 2

Solve for x  and y

x + y = 144

y = 144 - x

Now plug it in second equation

6x + 4y = 660

6x + 4(144 - x) = 660

6x + 576 -4x = 660 (combine like terms)

2x + 576 = 660 (subtract 576 from both sides)

2x = 84 (divide by 2)

x= 42

Number of adult tickets = 42

y = 144 - x

y = 144- 42= 102

Number of child tickets = 102

The theater sold 42 adult tickets and 102 child tickets on Friday night, calculated by setting up and solving a system of equations based on the total seats and revenue.

To solve the problem, we need to set up a system of equations based on the information provided. The total number of seats is 144, and the total revenue from selling out on Friday night is $660. Let A represent the number of adult tickets sold and C represent the number of child tickets sold. Therefore we have the following equations:

Now we can solve this system of equations. Multiplying the first equation by 4, we get 4A + 4C = 576. Subtracting this from the second equation cancels out the C, leaving us with 2A = 84, or A = 42. Plugging this into the first equation gives us C = 144 - 42, or C = 102.

Therefore, the theater sold 42 adult tickets and 102 child tickets on Friday night.

Answer:

[tex]y\geq \frac{1}{2}x[/tex]

Step-by-step explanation:

To find the inequality represent by the graph, we first must find the linear equation that represents that line.

So, in first place, we find the slope of the line, using two point (0,0) and (2,1):

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }=\frac{1-0}{2-0}=\frac{1}{2}[/tex]

Now, using one point, the slope and the slope-point formula, we find the linear expression

[tex]y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{2}(x-0)\\ y=\frac{1}{2}x[/tex]

Then, with the linear expression, we just need to take a test point form the shaded area and evaluate the expression, the point is gonna be (0,1):

[tex]y=\frac{1}{2}x\\1=\frac{1}{2}(0)\\ 1=0[/tex]

We know that 1 is more than zero, this means that the right inequality sign is [tex]\geq[/tex], due to the relation of the numbers, and because line is solid.

Therefore, the inequality is

[tex]y\geq \frac{1}{2}x[/tex]

First you subtract by the numbers.

[tex]4k-6=-2k-18[/tex]

Then you add by six from both sides of equation form.

[tex]4k-6+6=-2k-18+6[/tex]

Simplify.

[tex]4k=-2k-12[/tex]

Next add by two-k from both sides of equation form.

[tex]4k+2k=-2k-12+2k[/tex]

Then simplify.

[tex]6k=-12[/tex]

Next divide by six from both sides of equation form.

[tex]\frac{6k}{6}=\frac{-12}{6}[/tex]

And finally, simplify by equation.

[tex]k=-2[/tex]

Final answer is ⇒ [tex]\boxed{k=-2}[/tex]

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

Answer:

First drop-down : -

Second drop-down : 12

Third drop-down : 6

Fourth drop-down : -12

Fifth drop-down : -2

1.V= 60cm^2 times 5cm

V=300cm^3

2.20in^2 times 12in

V=240in^3

he does not need more info because you can take the area of a layer and multiply it by the number of layers

hope this helps :)

Answer: [tex]\frac{n^{5}}{7m^{4}}[/tex]

Step-by-step explanation:

1. You have the following expression given in the problem above:

[tex]\frac{4mn^{8}}{28m^{5}n^{3}}[/tex]

2. To find an expression that is equal to the expression shown in the problem, you can simplify it:

- As you can see, 4 and 28 are divisible by 4.

- You need to apply the exponents properties. To divide two powers with the same base, you must subtract the exponents.

3. Keeping this on mind, you have:

[tex]\frac{n^{(8-3)}}{7m^{(5-1)}}=\frac{n^{5}}{7m^{4}}[/tex]

What I did was put 45/60 (45 as the minute and the 60 to make up an hour) into 75/100 which I then put the 2.75( the 2 hours from the time already) and divided 8580/2.75= 3120

x = [tex]\frac{14}{3}[/tex]

distribute parenthesis on left side and simplify

4x + 8x - 24 = 4 + 6x

12x - 24 = 4 + 6x ( subtract 6x from both sides )

6x - 24 = 4 ( add 24 to both sides )

6x = 28 ( divide both sides by 6 )

x = [tex]\frac{28}{6}[/tex] = [tex]\frac{14}{3}[/tex]

w/7 + 2 = 1

Subtract 2 from both sides.

w/7 = -1

Multiply both sides by 7.

w = -7

The value of w is equal to -7

[tex](5x^2-3x+5)-(3x^2-4x-7)\\\\=5x^2-3x+5-3x^2+4x+7\\\\=(5x^2-3x^2)+(-3x+4x)+(5+7)\\\\=2x^2+x+12\to1.[/tex]

[tex]11(-3+5x^2)=(11)(-3)+(11)(5x^2)=-33+55x^2=55x^2-33\to4.[/tex]

It is safe to assume that we are solving for b.

To answer this is to isolate b.

8b = -27.2

b = -3.4

Anywhere there is a point, is part of the domain.  So we see a point at x = -2. x = 0, x = 1, x= 2, x = 3, and x = 4.

So the domain would be

{-2, 0, 1, 2, 3, 4}

Answer choice 1.

Answer: The width can be measured in not a characteristic of a plane

Step-by-step explanation: Think about it it doesn't make sense becuase it doesn't have measurable width

-3(x+2)+5x=-9

-3(x)-3(2)+5x=9

-3x-6+5x=9

2x-6=9

2x=9+6

2x= 15

2x/2=15/2

X= 7.5

[tex]-3(x+2)+5x=-9[/tex]

Distribute the -3

[tex]-3x-6+5x=-9[/tex]

Combine like terms

[tex]2x-6=-9[/tex]

Add 6 on both sides

[tex]2x=-3[/tex]

Divide by 2 on both sides

[tex]x=-1.5[/tex]

x is equal to -1.5

I'm pretty sure the answer is 5/16

It's 13.5 because you put them in order and then you have 13 and 14 you add them together and then divide by 2

So you first have to order them least to greatest, which would be : 8 , 9 , 13, 14 , 15, 16. Since the number of numbers is even, average the 2 middle numbers. This is 13 + 14 divided by 2 or 13.5.

-26 is the change because -71 - -25 is -26

I do these types of problems a little different then some may.  I turn this into a positive and see how far it is like that.  

When thinking of it like that, how many numbers are between 45 and 71?

Just subtract 71-45= 26.

So know we know that there are 26 numbers in between 45 and 71.

If you go back to the original problem, you will see to get from -45 to -71, you have to -26.

So the temperature has to drop 26 degrees making your change in temperature -26 degrees.

Answer,

100,000,000 > 334,605,925

But, 100,000,000 is smaller that 334,605,952

So, It would be "100,000,000 < 334,605,925"

1,541 is the answer