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100% increase

Thanks!

This is a binomial probability and is given by

C(5,4) (2/3)^4 (1/3)  = 80 /243  ≈ 32.9%

I don't think so. Dogs can't run that fast.

I hit a dog going 70 mph in my truck?!

x + y + z  = 0   →-  -(x + y)  = z  →   z^3 =  - (x^3 + 3x^2y + 3xy^2 + y^3)

xyz  = 17

xy [ -(x + y) ]  = 17

xy (x + y)  = -17  →  x^2y + xy^2  = -17  →  3x^2y + 3xy^2  = -51

So......

x^3  + y^3  +  [ z^3 ]

x^3  + y^3  +  [ -  ( x^3 + 3x^2y + 3xy^2 + y^3) ]  =

-3x^2y - 3xy^2  =

-[ 3x^2y + 3xy^2]  =

- [-51]  =

51

1 gallon = 128 fluid ounces

1 hour = 60 minutes.

7 fluid ounces x 60 minutes =420 fluid ounces per hour.

420 / 128 fluid ounces in 1 gallon 

=3.28125 gallons per hour.

Solved it: : Noticing that left-hand sides are symmetric in $a$, $b$, and $c$ (in that any relabelling of the variables in one of the left-hand sides gives one of the others), we multiply all three equations to get $(a^2b^2c^2)^2=(28)(27)(21)$, which implies $a^2b^2c^2=\sqrt{(28)(27)(21)}=\sqrt{(4\cdot 7)(9\cdot 3)(3\cdot 7.2\cdot 3\dot3\cdot 7=126.$ Dividing this equation by each of the three original equations gives $c^2 = 9/2$, $a^2 = 6$, and $b^2=14/3$, respectively. Since $b

Leading coefficient 2, zeroes   =  2, √2, -√2

So...we can write this as

2 ( x - 2) (x - √2) (x + √2)  =

2(x - 2) (x^2  - 2)  =

2 (x^3 - 2x^2 - 2x + 4)  =

2x^3 - 4x^2 - 4x + 8

Similarly....we have

Leading coefficient -1, zeroes   =  1, 1 +√3,  1-√3

-1 ( x -1) ( x - [1 +√3] ) ( x  - [ 1 -√3] )  =

-1 (x - 1) ( x^2  - [ 1 + √3]x  - [ 1 -√3] x  +  [1 +√3] [1 -√3] )  =

-1 (x - 1) (x^2 - x - √3x  - x + √3x  + 1  - 3 )  =

-1 (x - 1)  (x^2 - 2x -2)  =

-1( x^3 -x^2 - 2x^2 + 2x - 2x + 2) =

-1 (x^3 - 3x^2 + 2) =

-x^3 + 3x^2 - 2

The shortcut forms the hypotenuse of a right triangle with 57 and 76 as legs....so....   sqrt ( 57^2 + 76^2)  = 95 yards

x^2  + 2x  +  3  -2i√3  = 0          rearrange as

x^2  +  2x   =   -3 + 2i√3           

Take   1/2 the coefficient on x = 1......square it  = 1   and add to both sides

x^2 + 2x + 1  =  -3  + 2i√3  + 1       factor the left side....simplify the right side

( x + 1)^2  = -2 + 2i√3   factor the right side

(x + 1)^2   =  2 (i√3 - 1)     take both roots

x + 1  =  ±√ [ 2  (i√3 - 1) ]     subtract 1 from both sides

x  =    ±√ [ 2  (i√3 - 1) ]  -   1

Hey my boys

Interest  =  Principal * Rate * Time

Interest  = 500 *   .062 * 4  =  $124

What's the question  ?

Use the / (slash) key, but put the fraction in parenthesis.

Ja! Så, hva er spørsmålet?

Where are the graphs and equations?

Not to be mean, but there is a CALCULATOR on the home screen.

This is correct. Thanks!