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Questions in mathematics

[Done] [tex]\frac{125 x^8 y^4}{25 x^2 y^8}[/tex]

[Done] $1,000,000 \times \frac{\left(\frac{0.07}{12}\right)}{\left(1+\frac{0.07}{12}\right)^{(12 \cdot 29)}-1}

[Done] Let event [tex]$A=$[/tex] The animal is a bird. Let event [tex]$B=$[/tex] The animal can fly. Which outcomes are in [tex]$A$[/tex] and [tex]$B$[/tex]? | Animal | Is a bird | Can fly | | :------- | :-------- | :-------- | | Pig | | | | Penguin | \checkmark | | | Seagull | \checkmark | \checkmark | | Tiger | | | | Crow | \checkmark | \checkmark | | Bat | | \checkmark | | Mosquito | | \checkmark | A. (penguin, seagull, crow) B. (seagull, crow) C. (penguin, seagull, crow, bat, mosquito) D. (seagull, crow, bat, mosquito)

[Done] Construct triangle xyz in which xy = 7 cm, yz = 4.5 cm, and xz = 3 cm. Draw a perpendicular line from point z to meet xy. What is the length of line zw?

[Done] Solve the equation. [tex]e^{-x}=\left(e^8\right)^{x+9}[/tex] [tex]x=[/tex] $\square$ (Type an integer or a simplified fraction.)

[Done] Determine the value of the following expression: $\frac{\tan \left(180^{\circ}-x\right) \cdot \sin \left(x-90^{\circ}\right)}{4 \sin \left(360^{\circ}+x\right)}$

[Done] What is the solution of the matrix equation $\left[\begin{array}{ll}1 & 3 \\ 1 & 4\end{array}\right] X=\left[\begin{array}{l}6 \\ 8\end{array}\right]$? A. $X=\left[\begin{array}{c} 0 \ -2 \end{array}\right]$ B. $X=\left[\begin{array}{c} -2 \ 0 \end{array}\right]$ C. $X=\left[\begin{array}{l} 0 \ 2 \end{array}\right]$ D. $X=\left[\begin{array}{l} 2 \ 0 \end{array}\right]$

[Done] Find the value of the expression: [tex]$0.5^{10} \div 0.5^7$[/tex]

[Done] Find the lowest common multiple of [tex]$x^2+2 x+1$[/tex] and [tex]$x^2-6 x+9$[/tex]. A. [tex]$(x+1)(x-3)$[/tex] B. [tex]$(x+1)^2(x-3)^2$[/tex] C. [tex]$(x-1)^2(x+3)^2$[/tex] D. [tex]$(x+1)(x-1)(x+3)(x-3)$[/tex]

[Done] Find the slope and $y$-intercept of the graph of this linear equation. $y=\frac{5}{7} x+9$ slope: $\square$ $y$-intercept: $\square$