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dem82 [27]
4 years ago
8

10 points

Mathematics
1 answer:
Ket [755]4 years ago
7 0

Answer:

9/50  or 0.18

Step-by-step explanation:

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If the variable was replaced with a number how would you simplify?
guapka [62]
Let's say we have an equation like this 7x + 3.  Let x = 4.  Then we will do the following:

7(4) + 3 - Replace the x with 4
28 + 3
31 - simplify down
8 0
3 years ago
The attractive electric force between point charges q and -2q has a magnitude of 2.2 N when the separation
swat32

Answer:

The Magnitude of charge = q = 15.47 micro coulomb  

Step-by-step explanation:

The attractive force between two points q and - 2 q = F = 2.2 Newton

The separation between two charges = 1.4 meters

Now from Coulomb's law = F = (k \frac{q1 q2}{r^{2}})  where k= 9 \times 10^{9} \frac{N m^{2}}{c^{2}}

So , 2.2 = 9 \times 10^{9} ( (\frac{(q) ( - 2q)}{1.4^{2}})

So , q ² = (\frac{0.479 \times 10^{-9}}{-2})

      For charge magnitude

   I.e q ² = 2.395 \times 10^{-10}

 so, q =  1.547 \times 10^{-5}

      q = 15.47 \times 10^{-6} c

Or,  q = 15.47 micro coulomb

Hence  the Magnitude of charge = q = 15.47 micro coulomb   Answer

4 0
4 years ago
Point G bisects the line segment FH. The length of FG is 16 less than 3 times the length of GH. What is the length of FH?
charle [14.2K]

Answer: FH = 16

<h2><u>PART I</u></h2><h2 />

Concept:

Bisect means to cut or divide something into two equal parts.

In mathematics, usually bisect means cutting a segment or an angle.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

<u>Given information</u>

FG is 16 less than 3 times the length of GH

Let x be the length of GH

<u>Given expression</u>

FG = GH

<u>Set equation</u>

3x - 16 = x

<u>Add 16 on both sides</u>

3x - 16 + 16 = x + 16

3x = x + 16

<u>Subtract x on both sides</u>

3x - x = x + 16 - x

2x = 16

<u>Divide 2 on both sides</u>

2x / 2 = 16 / 2

x=8

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

<h2><u>PART II</u></h2><h2><u /></h2>

Concept:

In order to find the length of FH, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

<u>Given information</u>

FG = GH = x

x = 8

<u>Given expression deducted from the segment addition postulate</u>

FH = FG + GH

<u>Substitute values into the expression</u>

FH = x + x

FH = 8 + 8

\boxed {FH=16}

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
Dominic is cutting a rectangular hole in his paper, from top left corner to the bottom right corner. The rectangle will be 4.5 c
Readme [11.4K]

Answer:

Step-by-step explanation:

So initially you have a square piece of metal, 15" x 15". You cut out squares from the corners of each side with side length x.

 

So you'll have a sheet that looks something like this now (assuming the formatting works):

 

   _____

__|       |__

|               |

|__        __|

   |____|

 

Your original side length was 15, but it has now been reduced by x on each side, so you're now going to have a new side length of 15 - 2x

 

When you fold the box up, the box will have a height of just x.

 

So you have a base with lengths (15 - 2x) and (15 - 2x), and a height which is just x.

 

V = l*w*h

 

So

 

V = (15 - 2x)(15 - 2x)(x)

 

= 225x - 60x^2 + 4x^3

 

Hope this helps

8 0
3 years ago
Need helppppppppppppppp plezzzzzzz
Viefleur [7K]

A? 4? i think that might be it

6 0
4 years ago
Read 2 more answers
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