geno3141

If you want to do this by limits: Need to solve   lim(x→∞) (x²+5)/(7-2x²)   and    lim(x→-∞) (x²+5)/(7-2x²)

Looking at the expression:  (x²+5)/(7-2x²)    divide both the numerator and denominator by x² to get:

     (x²/x² + 5/x²)/(7/x² - 2x²/x²)  =  (1 + 5/x²)/(7/x² - 2)

Now as  x→∞,  lim(1 + 5/x²)/(7/x² - 2) → (1)/(-2)  =  -1/2

    (because as x→∞, both 5/x²→0 and 7/x²→0)

And, as x→-∞ lim(1 + 5/x²)/(7/x² - 2) =  -1/2 also.

So the end behavior is that the funtion approaches -1/2 both to the right and to the left.

30  =  2 x 3 x 5

72  =  2 x 2 x 2 x 3 x 3

The greatest common factor is the largest number that can divide into both of these numbers. Since there is a 2 and a 3 in both numbers, the greatest common factor is 2 x 3 = 6. 

versin(A)  =  1 - cos(A)  

                 =  2sin²(½A)

11^x  =  18 * 10^(x + 1)                              Take the log of both sides to get:

log(11^x)  =  log(18 * 10^(x + 1)                   Use  log( A · B )  =  log(A) + log(B)  to get:

log(11^x)  =  log(18) + log( 10^(x + 1) )         Use  log( A ^ B )  =  B · log(A)  to get:

xlog(11)  =  log(18) + (x + 1)log(10)               Use  log(10)  =  1  to get:  

xlog(11)  =  log(18) + (x + 1)                           

xlog(11)  =  log(18) + x + 1

xlog(11) - x  =  log(18) + 1

x( log(11) - 1 )  =  log(18) + 1

x  =  [ log(18) + 1 ] / [ log(11) - 1 ] 

To find a mean of a set of numbers:  add all the numbers together and divide by the number of numbers.

Therefore, add all the individual earnings of the player and divide by the number of earnings.

1 cm = 10 mm         --->          (1 cm)³  =  (10 mm)³  

So, to change frm cm³ to mm³, multiply the cm³ value by 1000:

125 cm³  =  125 x 1000 mm³  =  125,000 mm³  

If you have two points (x1, y1) and (x2, y2), the distance between them can be found using the formula:

d  =  √[ (x2 - x2)² + (y2 - y1)² ]               (This is just the Pythagorean Theorem.)

It makes no difference which point you call (x1, y1) and which you call (x2, y2).

If (x1, y1) = (-2, 6) and (x2, y2) = (1, 2), then, by using the formula, you have:

d  =  √[ (1 - -2)² + (2 - 6)² ]   =   √[ (3)² + (4)² ]    =  √[ 9 + 16 ]   =  √25  =  5.

You can also find the answer by draphing the two points, drawing a right triangle, and using the Pythagorean Theorem.

Dragons' answer is absolutely correct.

pi is defined to be the ratio of the circumference of any circle to its diameter.

8 x 10^67  <  10 X 10^67  =  10^68

Since 10^68 < 10^70,  8 x 10^67  <  10^70

The Gravitational Potential Energy can be calculated using:   GPE  =  m · g · h        where

GPE will be joules  if     m = mass (in kilograms)  

                                  g = gravitational constant (9.8 m/sec²)

                            and h  = height in meters.

The mass is 100 g = 0.1 kg and h = 1.75m:    GPE  =  m · g · h  =  (0.1kg) · (9.8m/sec²) · (1.75m)

If you finish the calculation, you will have the answer.