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Questions in mathematics

[Answered] Which of the following is equivalent to [tex]$\sqrt[5]{13^3}$[/tex]? A. [tex]$13^2$[/tex] B. [tex]$13^{15}$[/tex] C. [tex]$13^{\frac{5}{3}}$[/tex] D. [tex]$13^{\frac{3}{5}}$[/tex]

[Answered] Which expression is equivalent to $\frac{\sqrt[4]{6}}{\sqrt[3]{2}}$ ? $\frac{\sqrt[12]{27}}{2}$ $\frac{\sqrt[4]{24}}{2}$ $\frac{\sqrt[12]{55296}}{2}$ $\frac{\sqrt[12]{177147}}{3}$

[Answered] Select the correct answer. One factor of the polynomial [tex]x^3-7 x^2+13 x-3[/tex] is [tex](x-3)[/tex]. What is the other factor of the polynomial? (Note: Use long or synthetic division.) A. [tex](x^2+4 x-1)[/tex] B. [tex](x^2-4 x+1)[/tex] C. [tex](x-4)[/tex] D. [tex](x+4)[/tex]

[Answered] Which is the standard equation for a circle centered at the origin with radius [tex]$r$[/tex]? A. [tex]$x^2+y^2=r$[/tex] B. [tex]$x+y=r$[/tex] C. [tex]$x^2=y^2+r^2$[/tex] D. [tex]$x^2+y^2=r^2$[/tex]

[Answered] Select the correct answer. What is the solution to this equation? [tex]$2 \log _2 x-\log _2(2 x)=3$[/tex] A. [tex]$x=6$[/tex] B. [tex]$x=16$[/tex] C. [tex]$x=8$[/tex] D. [tex]$x=18$[/tex]

[Answered] Solve the equation [tex]$\frac{-5}{x}=\frac{-6}{3 x}-4$[/tex]

[Answered] Which equations have no solution? Check all that apply. [tex] \begin{array}{l} -|x|=0 \\ |x|=-15 \\ -|x|=12 \\ -|-x|=9 \end{array} [/tex]

[Answered] Livia eats a chicken drumstick with 11 grams of protein. She also eats cheese sticks, each with 7 grams of protein. The table shows [tex]$y$[/tex], the total number of grams of protein that Livia will consume if she eats [tex]$x$[/tex] cheese sticks. Livia may eat only part of a cheese stick, so [tex]$x$[/tex] may not always be a whole number. | x | y | | --- | ---- | | 0 | 11 | | 2.5 | 28.5 | | 5 | 46 | | 7 | 7 | What is the range of the function? A. all real numbers greater than or equal to 11 B. all integers greater than or equal to 11 C. all real numbers greater than or equal to 0 D. all real numbers

[Answered] On a line segment, $F$ is between $E$ and $G$. If $E F=6 x, F G=17 x-7$, and $E G=16$, what is $FG$?

[Answered] Given [tex]$\cos \theta=\frac{8}{17}$[/tex], what is [tex]$\sin \theta$[/tex]? [tex]$\sin \theta=[?]$[/tex] Report your answer in simplest form.