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Questions in mathematics

[Terjawab] Triangle RTS is on a horizontal line. Line SR extends through point Q to form exterior angle TRQ. Angle RTS is [tex](25x)[/tex] degrees. Angle TSR is [tex](57 + x)[/tex] degrees. Exterior angle TRQ is [tex](45x)[/tex] degrees. Find the value of x. Options: x = 2, x = 3, x = 33, x = 52.

[Terjawab] What is 36 x 99654317682827919827279281726?

[Terjawab] A colony of bacteria is growing exponentially according to the function below, where [tex]$t$[/tex] is in hours. What will the approximate number of bacteria be after 6 hours? [tex]$B(t)=4 \cdot e^{0.8 t}$[/tex] A. 122 B. 486 C. 94,251 D. 8602

[Terjawab] Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms. [tex]f(x)=(3 x-4)(-6 x+5)[/tex]

[Terjawab] Match each quadratic function given in factored form with its equivalent standard form listed. $f(x)=x^2-x-12\left|\sharp \quad f(x)=x^2-11 x-12\right| \sharp \quad f(x)=x^2+x-12 \mid \quad \exists$ $f(x)=x^2-4 x-12$ $f(x)=(x-4)(x+3)$ $f(x)=(x-3)(x+4)$ $f(x)=(x-12)(x+1)$ $f(x)=(x+2)(x-6)$

[Terjawab] The four diagonals of a cube are drawn to create 6 square pyramids with the same base and height. The volume of the cube is $(b)(b)(b)$. The height of each pyramid is h. Therefore, the volume of one pyramid must equal one-sixth the volume of the cube, or A. $\frac{1}{6}(b)(b)(2 h)$ or $\frac{1}{3} B h$. B. $\frac{1}{6}(b)(b)(6 h)$ or $B h$. C. $\frac{1}{3}(b)(b)(b h)$ or $\frac{1}{3} Bh$. D. $\frac{1}{3}(b)(b)(2 h)$ or $\frac{2}{3} B h$.

[Terjawab] Solve for $k$ in the proportion. $\begin{aligned} \frac{1}{4} & =\frac{8}{k} \\ k & =\square \end{aligned}$

[Terjawab] Multiply. $(5-6 i)(4-4 i)$ Write your answer as a complex number in standard form.

[Terjawab] What value of $n$ makes the statement true? [tex]6 x^n \cdot 4 x^2=24 x^6[/tex] [tex]n=\square[/tex]

[Terjawab] $f(x)=x+2 \quad g(x)=x-4$ $(f g)(x)=$ $2 x-2$ $x^2-8$ $x^2-2 x-8$ $x^2+2 x-8$