Evaluate
11.65
Factor
\frac{233}{5 \cdot 2 ^ {2}} = 11\frac{13}{20} = 11.65
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\frac{25.5+10+11.5+11+14+9+7.5+16+12}{10}
Add 12.5 and 13 to get 25.5.
\frac{35.5+11.5+11+14+9+7.5+16+12}{10}
Add 25.5 and 10 to get 35.5.
\frac{47+11+14+9+7.5+16+12}{10}
Add 35.5 and 11.5 to get 47.
\frac{58+14+9+7.5+16+12}{10}
Add 47 and 11 to get 58.
\frac{72+9+7.5+16+12}{10}
Add 58 and 14 to get 72.
\frac{81+7.5+16+12}{10}
Add 72 and 9 to get 81.
\frac{88.5+16+12}{10}
Add 81 and 7.5 to get 88.5.
\frac{104.5+12}{10}
Add 88.5 and 16 to get 104.5.
\frac{116.5}{10}
Add 104.5 and 12 to get 116.5.
\frac{1165}{100}
Expand \frac{116.5}{10} by multiplying both numerator and the denominator by 10.
\frac{233}{20}
Reduce the fraction \frac{1165}{100} to lowest terms by extracting and canceling out 5.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}