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You may read the USGS article about the "STRENGTH" of earthquakes here:

http://earthquake.usgs.gov/learn/topics/how_much_bigger.php

Reflection across the y-axis is exactly like relfection across the x-axis except in this one you change the x point

(x,y) -> (-x,y).

Mathematically, reflection across the x-axis means a point (x,y) undergoes a change to the y point, (x,-y).

Examples:

Point α is (4,6), find the relfection across the x-axis of Point α... 

The reflection of Point α across the x-axis is (4,-6)

Point γ is (-420, -1337), find the reflection across the x-axis of Point γ... 

The reflection of Point γ across the x-axis is (-420, 1337)

thank you, gracias, arigato!!!

Under the old Richter scale, the difference was simply lagarithmic to base 10:

So, a difference of 1.6 between the two earthquakes simply amounted to:

10^1.6 =39.81 more powerful (The Chile earthquake).

But, under the new scale developed by the USGS, the scale of 1 logarithm to base 10 is:

(10^1.5)^1 =31.62x more powerful in energy release for every difference of 1 log. Therefore:

(10^1.5)^1.6 =10^2.4 =251.19x-The Chile earthquake more powerful than the Madrid quake.

The Richter scale is an exponential scale with a base of 10.

Thus, a magnitude of 9.5 means 10^9.5 and a magnitude of 7.9 means 10^7.9.

Comparing these:  10^9.5 / 10^7.9  =  10^1.6  which is about 39,8 or 40.   (Subtract exponents when you divide.)

So the Valdivia earthquake was about 40 times stronger than the Madrid earthquake.

(To find how many times larger one number is than another, you should divide.)

Translating won't change the size of the figure.

The length of the line segment from (-4,2) to (-1,2) is 3.  (These points are on a horizontal line and the distance from -4 to -1 is 3.)

So the length of the image is also 3.

Let  A = e^10x  and let  B = e^-10x.

Ignoring the outside exponent for a while,  the problem becomes [ (A - B) / 2 ] - [ (A + B) / 2 ]

   =  [A/2 - B/2] - [A/2 + B/2]  =  A/2 - B/2 - A/2 - B/2  =  - 2B/2  =  - B     which is     -e^-10x

Bringing the exponent back into the problem:  (-e^-10x)¹⁰  =  e^-100x

because a negative number to an even exponent is positive, and you need to multiply the exponents.

Just by looking at the info here I can assume that black and white prints faster but let's have some solid proof for that.

So the table you are given represents the number of minutes (x) it takes to print out color pages (y):

COLOR

The equation y = 33x represents how many minutes (x) it takes to print an amount of pages (y), it's best to make an (x,y) table out of this so you can compare it to the other table in order to see which produces pages at a faster rate (Use the same x values as to get an accurate difference of rate):

BLACK AND WHITE

As you can probably tell printing pages in balck and white is faster than printing color. Using the data here I think you're good on forumlating a reason.

There are 100 choices for the first cube and 24 choices for this cube:  (100 x 24).

There are 99 choices for the second cube and 24 choices for this cube:  (99 x 24).

There are 98 choices for the third cube and 24 choices for this cube:  (98 x 24).

...

For the last cube:  there is 1 choice for the one-hundredth  cube and 24 choices for this coube:  (1 x 24).

Putting these together:  (100 x 24) x (99 x 24) x (98 x 24) x ... x (2 x 24) x (1 x 24)

                               =     (100 x 99 x 98 x ... x 2 x 1) x (24 x 24 x 24 x ... x 24 x 24)

                               =      100! x 24¹⁰⁰.

I think the answer is:

3! x 4! =6 x 24 =144 different ways they can be seated.

Why don't write it like this:

2x^2 + 13x + 7 =0

Solve for x:
2 x^2+13 x+7 = 0

Divide both sides by 2:
x^2+(13 x)/2+7/2 = 0

Subtract 7/2 from both sides:
x^2+(13 x)/2 = -7/2

Add 169/16 to both sides:
x^2+(13 x)/2+169/16 = 113/16

Write the left hand side as a square:
(x+13/4)^2 = 113/16

Take the square root of both sides:
x+13/4 = sqrt(113)/4 or x+13/4 = -sqrt(113)/4

Subtract 13/4 from both sides:
x = sqrt(113)/4-13/4 or x+13/4 = -sqrt(113)/4

Subtract 13/4 from both sides:
Answer: |  x = sqrt(113)/4-13/4         or        x = -13/4-sqrt(113)/4

http://www.cymath.com/answer.php?q=simplify%20%5B((e%5E(10x)%20-%20e%5E- 10x)%20%20%2F%20%202)%20-%20((e%5E(10x)%20%2B%20e%5E-10x)%2F2)   %5D%5E10

5/12 * 144 = ?    

5/12 * 144/1    *1st, put 144/1 (dividing by 1 doesn't change the value of 144, but it puts it in a

                         format better for the problem)

5/12 * 144/1 = (5*144)/(12*1)          *now we multiply the numerators (the numbers on top)

                                                  *we also multiply the denomenators (the numbers on bottom)

this gives us:  720/12

*now we divide this, and we get 60 as the answer!

(5/12) * 144 = 60

Hello guest!

How long is it? 7827363inches??

With this link, it is easy:

2x+7=11

    -7      -7   *subtract 7 from both sides

2x = 4

 2     2           *divide both sides by 2

x=2             *leaving you with x=2 as the answer!

7,827,363 inches

1 foot=12 inches

1 mile=5,280 feet

1 mile=1.609344 kilometers

7,827,363 / 12=652,280.25 feet

652,280.25 / 5,280 =123.54 miles

123.54 x 1.609344 =198.815 kilometers

thank you very much arigato!!!!!!!

ITS OVER 9000 DBZ that is a legend!!!! kamehameha!!!!!!!!!XD thank you!!!!!!!!! for the help

It would be -13 because of PEMDAS

720 : 10336 : 6240       divide each by 2 and repeat

360 :  5168 :  3120

180 :  2584 :  1560

90   :  1292 :   780

45   :    646 :   390

8x + y = -16

-3x + y = -5

Note that, if we add 3x to both sides of the second equation, we have  y = 3x - 5

And substituting this for y in the first equation give us:

8x + 3x - 5  = -16   simplify

11x - 5  = -16        add 5 to both sides

11x  = -11            divide both sides by 11

x = -1

And using  y  = 3x - 5

y = 3(-1) - 5   =  -3 - 5   =  - 8

So   (x, y)   = (-1, -8)

3/5   = 6/10   = .6

(5.6*10^4)(2.5*10^-7)  .... we can actually write this as

( 5.6 * 2.5) ( 10^4 * 10^-7)   =

(14 ) * (10^-3)  =

1.4 x 10^-2      [in scientific notation ]