Evaluate
38.5
Factor
\frac{7 \cdot 11}{2} = 38\frac{1}{2} = 38.5
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8.4+3\left(-4\times 0.25+3^{2}\right)+4.1+2
Multiply 84 and 0.1 to get 8.4.
8.4+3\left(-1+3^{2}\right)+4.1+2
Multiply -4 and 0.25 to get -1.
8.4+3\left(-1+9\right)+4.1+2
Calculate 3 to the power of 2 and get 9.
8.4+3\times 8+4.1+2
Add -1 and 9 to get 8.
8.4+24+4.1+2
Multiply 3 and 8 to get 24.
32.4+4.1+2
Add 8.4 and 24 to get 32.4.
36.5+2
Add 32.4 and 4.1 to get 36.5.
38.5
Add 36.5 and 2 to get 38.5.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}