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Questions in mathematics

[Solved] Order these numbers from least to greatest. [tex]$16 \frac{3}{10},-\sqrt{270},-16 . \overline{5},-\frac{50}{3}$[/tex]

[Solved] Which expression is equivalent to [tex]$\frac{1^6}{4^6}$[/tex]? A. [tex]$\left(\frac{1}{4}\right)^6$[/tex] B. [tex]$\left(\frac{6}{4}\right)^6$[/tex] C. [tex]$\left(\frac{1}{6}\right)^4$[/tex] D. [tex]$\left(\frac{4}{24}\right)^6$[/tex]

[Solved] The Nile River is 4,160 miles long. The Amazon River is [tex]$\frac{25}{26}$[/tex] as long as the Nile River. How long is the Amazon River?

[Solved] Evaluate the expression [tex]$-6 x^2-5 y^2-5$[/tex] at [tex]$x=0, y=-4$[/tex] and simplify your answer.

[Solved] \begin{tabular}{|l|l|l|} \hline 29. & $0.7 \times 0.8$ & \\ \hline 30. & $0.8 \times 0.9$ & \\ \hline 31. & $0.8 \times 1.1$ & \\ \hline 32. & $0.8 \times 1.2$ & \\ \hline 33. & $0.8 \times 1.5$ & \\ \hline 34. & $0.9 \times 0.8$ & \\ \hline \end{tabular}

[Solved] Evaluate: $481+7+0.56=$

[Solved] Compare 0.1 and $0 . \overline{1}, 0.13$ and $0 . \overline{13}$, and 0.157 and $0 . \overline{157}$. What do you notice about expressing repeating decimals like these as fractions?

[Solved] What is true about the function [tex]h(x)=x^2+20 x-17[/tex]? Check all that apply. A. The vertex of [tex]h[/tex] is [tex](-10,-117)[/tex]. B. The vertex form of the function is [tex]h(x)=(x+20)^2-17[/tex] C. The maximum value of the function is -17 D. To graph the function h , shift the graph of [tex]f(x)=x^2[/tex] left 10 units and down 117 units. E. The axis of symmetry of function [tex]h[/tex] is [tex]x=20[/tex].

[Solved] Why is [tex]$\sqrt[3]{4}$[/tex] equal to [tex]$4^{\frac{1}{3}}$[/tex] ? [tex]$\left(4^{\frac{1}{3}}\right)^3=4^{\left(\frac{1}{3}+3\right)}=4^1=4$[/tex] [tex]$\left(4^{\frac{1}{3}}\right)^3=4^{\left(\frac{1}{3}\right)^{(3)}}=4^1=4$[/tex] [tex]$\left(4^{\frac{1}{3}}\right)^3=4^{\left(\frac{1}{3}+3\right)}=4^1=4$[/tex] d [tex]$\quad\left(4^{\frac{1}{3}}\right)^3=4^{\left(\frac{1}{3}-3\right)}=4^1=4$[/tex]

[Solved] $B$ is between $A$ and $C$. If $A B=x+2, B C=2 x-3$, and $A C=5 x-7$, what is $A B$?