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Questions in mathematics

[Done] What is 36 x 99654317682827919827279281726?

[Done] 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

[Done] 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]

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

[Done] 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 $\frac{2}{3} B h$.

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

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

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

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

[Done] The length of the hypotenuse in a right triangle is equal to the: A. Square of the sum of the two other sides (legs) B. Square root of the sum of the squares of the two other sides (legs) C. Square root of the square of the sum of the two other sides (legs) D. Sum of the squares of the two other sides (legs)