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39 = 13 * 3

702  = 234 * 3

So

[ 13 * 3 ] / [234 * 3 ]  =

[3/3] * [ 13 /234]  =

1 * (13/234)  =

13/234    =

13 / [ 13 * 18]  =

(13/13) (1/18) =

(1) * (1/18) =

1/18

writing a number like: 257. Not 200 + 50+7; that's expanded form. not two-hundred, fifty-seven, either; word form. Definitely not (2 * 10^2) + (5*10^1) + (7*10^0) ; scientific notation

It's called an "indeterminate" form.........

Note that

6 / 2 = 3   because 3 * 2 = 6

But

0 / 0   = any real,  because any real * 0   would return 0

Thus.....we can't determine what 0 / 0   might precisely be......!!!!

0.55555555555555555555555555555555555555555555555

0 friends to eat 0 cookies. INVALID!!!!!!!!!!!!

0.05555555555555555555555555555555555555556

G=50-44=6

1 raised to any power = 1

In your case  0.5 = 1/2    and something to the 1/2 power is just the sqrt of that thing.......

So

1^(1/2)   = sqrt(1)  = 1

(5/8y − 3/5y) ÷ (3/4z − 2/5z)      factor out y and z and we have

[ y ( 5/8 - 3/5) ]  /  [z (3/4  - 2/5) ]          getting common denominators, we have

[y (25/40 - 24/40)[ / [ z (15/20 - 8/20)]  =

[ y/40 ] / [(7z ) / 20 ]  =

(20/40) (y) / (7z)  =

(1/2)y / (7z)  =

y / [14 z]

1.4410088e+18 is the answer (i used google calculator)

Let  n  represent the number of times that the boat is rented.

For members, the amount they pay will be  105.00 + 9.50n.

For non-members, the amount is strictly          14.75n.

Set these equal to each other to find the number of times the boat is rented so that the amount is the same for members and non-members:     105.00 + 9.50n  =  14.75n

Simplify:                               105.00  =  5.25n

Divide by 5.25:                              n  =  20 times

It is cheaper to be a non-member if you want to use the boat fewer than 20 times; more than 20 times, it is cheaper to be a member.

10-|2n+v| n=2 v=-8   so we have

10 - l 2(2) + (-8) l  =

10 - l 4  - 8 l  =

10  - l -4 l  =

10  - 4   =

6

One of the Pythagorean Identities for trigonometry says that  sin2(x) + cos2(x) = 1.

If sin(x) = 0.35 and cos(x) = 0.60, then sin2(x) + cos2(x) =  (0.35)2 + (0.60)2  =  0.4825.

Since this does not equal 1, the situation is impossible -- the answer is "false".

  ( (4 / x^2 - 2x -3 ) - ( 5 / x^2 - x - 6))    factor the denominators

4 / [ (x - 3)(x + 1) - 5 / [ (x - 3)(x +2 )]   =     factor out  [ 1/ (x - 3) ]

[1/(x - 3)]  *  [ 4/ (x + 1) -  (5 (x + 2) ] =     get common denominators

[ 1 /(x - 3 ) ]  * [ 4(x + 2) - 5(x + 1)] / [(x + 1) (x + 2)]  =

[1/(x - 3)] [ - x + 3] /[(x + 1)(x + 2)]  =

[1/ (x -3)] [ - (x - 3)] /  [ (x + 1) (x + 2)]  =

-1 / [(x + 1) ( x + 2)]       take the limit as x → 3    and we have

-1 /[(4)(5)] =

-1/20

2 potato

2+(4+t)=14  simpliffy

6 + t = 14       subtract 6 from both sides

t = 8

7.5135 times 10 to the third power  =

7513.5

Yep.....the slopes are the same

To see this......suppose that  the slope  of the line is  p/q

And let's suppose that Ben uses the points (a, b) and (c, d).....so the slope between his points is

      [ d - b]   / [c - a]   = p/q

Which  implies that   [d - b]  = p     and  [c - a] = q      (1)

Then the points that Phoebe uses can be described by (a+mq, b +mp)  and  (c + nq,  d + np)   where  m and n are just some multipliers

Then the slope of Phoebe's line is 

  [ (d + np)  - ( b + mp)] / [ (c +nq )  - ( a + mq)]    =

[p(n - m) + ( d - b) ] / [ q(n - m) + (c - a)] 

Now, let (n - m) = r   .......and we have

[(d - b) + pr] / [ (c - a) + qr]  ........  and substituting from (1), we have

[p + pr] / [ q + qr ]  =

[p(1 + r) ] /  [q (1 + r) ]  =

p/q

So....the slopes are exactly the same.......

Either using the addition or substitution method

A(4,-5) and B(5,-8)    the distance between these points is given by :

sqrt [ (5 - 4)^2  + (-8  - (-5) ) ^2]  =

sqrt [  (1)^2 + (-3)^2 ]  =

sqrt  [ 1 + 9]  =

sqrt(10)   = about 3.162 units

Let x = 1

Then y = (1)^2  -2(1) + 1  = 0

So  (1, 0) is a point on this parabola  (but not a "solution" )

x = -7

8% means=8/100=.08,

.08 X 312,000,000=24,960,000. No!. The population is less than 35,000,000 people.

=180 x^2-1000x

I don't think you can download this particular calculator, but I maybe wrong. However, they are coming up with a number of calculators that you can dowload, but don't know when.