radix

7 Milliarden = 7 000 000 000  (9 Nullen )

Am einfachsten geht es mit dem Rechner:

1.)    $${\mathtt{8.25}}{\mathtt{\,-\,}}{\mathtt{25}}\% = {\frac{{\mathtt{99}}}{{\mathtt{16}}}} = {\mathtt{6.187\: \!5}}$$

2.)       25 % von 8.25 = $${\frac{{\mathtt{8.25}}{\mathtt{\,\times\,}}{\mathtt{25}}}{{\mathtt{100}}}} = {\frac{{\mathtt{33}}}{{\mathtt{16}}}} = {\mathtt{2.062\: \!5}}$$  ;      $${\mathtt{8.25}}{\mathtt{\,-\,}}{\mathtt{2.062\: \!5}} = {\frac{{\mathtt{99}}}{{\mathtt{16}}}} = {\mathtt{6.187\: \!5}}$$

3.)        100 % -25 % = 75 % = 0,75         ;  $${\mathtt{8.25}}{\mathtt{\,\times\,}}{\mathtt{0.75}} = {\frac{{\mathtt{99}}}{{\mathtt{16}}}} = {\mathtt{6.187\: \!5}}$$

Gruß radix !

Was möchtest du wissen ??

$${\frac{{{\mathtt{x}}}^{{\mathtt{2}}}}{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}} = {\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{1}}\right)}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}$$

Polynomdivision (mit Rest ):          ( Nullstelle bei  x = 0 )

   x²   : (x-1)  = x + 1 + 1/(x-1)

 -x² +x                                           (-x^4) : (x-1 ) = -x³-x²-x-1-1/(x-1)

         x

       -x  + 1

                1

Gruß radix !

Energie   E gemessen in Joule   ;  Masse m [ kg ]  ; 

Lichtgeschwindigkeit  c [ m pro sec ]

                                   c² [ m² / s²  ]

$${\left({\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}\right)}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)} = {{\mathtt{3}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}$$       ;    $$\left({\left({{\mathtt{3}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}\right)}^{{\mathtt{2}}}\right)$$ =  $${{\mathtt{3}}}^{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}$$

= $${{\mathtt{81}}}^{{\mathtt{y}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{x}}}^{\left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{y}}\right)}$$

(3x hoch 2y) hoch 2 = 3 hoch 4y * x hoch 4y = 81 hoch y * x hoch 4y

Gruß radix !

Danke für die Antwort.

Rechnet man in der Vermessungstechnik  alles  in  Gon ?

bei  1000 l    ( 1m*1m*1m= 1m³ = 1000 l )  =>      100 cm hoch

bei       1 l                                                     =>       0,1 cm hoch

bei     35 l                                                     =>      3,5  cm hoch

Merke:  1 Liter Regen pro m² ergibt  1 mm Regenhöhe

             35 Liter  Regen ergeben 35 mm = 3,5 cm  Regenhöhe

Gruß radix !

$${\frac{{\mathtt{256}}}{{\mathtt{x}}}} = {\frac{{\mathtt{x}}}{{\mathtt{4}}}}$$         =>      $${{\mathtt{x}}}^{{\mathtt{2}}} = {\mathtt{256}}{\mathtt{\,\times\,}}{\mathtt{4}}$$   =>    $${\mathtt{x}} = {\sqrt{{\mathtt{256}}{\mathtt{\,\times\,}}{\mathtt{4}}}}$$    

$${\mathtt{x}} = {\sqrt{{\mathtt{256}}{\mathtt{\,\times\,}}{\mathtt{4}}}} \Rightarrow {\mathtt{x}} = {\mathtt{32}}$$        x1 = +32   ;   x2 = -32

Gruß radix !

ausführliche Lösung:

3600  kg   =>  100 %

      1 kg   =>   100/3600  %

 900   kg   =>   900*100/3600 %    =$${\frac{{\mathtt{900}}{\mathtt{\,\times\,}}{\mathtt{100}}}{{\mathtt{3\,600}}}} = {\mathtt{25}}$$   %

Kurzfassung:    $${\frac{{\mathtt{900}}}{{\mathtt{3\,600}}}}{\mathtt{\,\times\,}}{\mathtt{100}} = {\mathtt{25}}$$    [ % ]

Gruß radix !

Hi Anonymous,

als vorgezogenes Weihnachtsgeschenk hier ein Prozentrechner: