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Questions in mathematics

[Done] What is the simplified form of [tex]$\sqrt{10,000 x^{64}}$[/tex] ? A. [tex]$5000 x^{32}$[/tex] B. [tex]$5000 x^8$[/tex] C. [tex]$100 x^8$[/tex] D. [tex]$100 x^{32}$[/tex]

[Done] Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used. Choose the justification for each step in the solution to the given equation. Simplification subtraction property of equality addition property of equality division property of equality multiplication property of equality | Step | Justification | | --- | --- | | [tex]\frac{17}{3}-\frac{3}{4} x=\frac{1}{2} x+5[/tex] | given | | [tex]\frac{17}{3}-\frac{3}{4} x-\frac{17}{3}=\frac{1}{2} x+5-\frac{17}{3}[/tex] | | | [tex]-\frac{3}{4} x=\frac{1}{2} x-\frac{2}{3}[/tex] | | | [tex]-\frac{3}{4} x-\frac{1}{2} x=\frac{1}{2} x-\frac{2}{3}-\frac{1}{2} x[/tex] | | | [tex]-\frac{5}{4} x=-\frac{2}{3}[/tex] | | | [tex]-\frac{5}{4} x \cdot-\frac{4}{5}=-\frac{2}{3} \cdot-\frac{4}{5}[/tex] | | | [tex]x=\frac{8}{15}[/tex] | |

[Done] f(x)=\log _{10} x What is the domain of the function? What is the range of the function?

[Done] A circle centered at the origin contains the point $(0,-9)$. Does $(8, \sqrt{17})$ also lie on the circle? No, the distance from the center to the point ($8, \sqrt{17}$) is not the same as the radius. No, the radius of 10 units is different from the distance from the center to the point $(8, \sqrt{17})$. Yes, the distance from the origin to the point ($8, \sqrt{17}$) is 9 units. Yes, the distance from the point $(0,-9)$ to the point ($8, \sqrt{17}$) is 9 units.

[Done] Select the correct answer from each drop-down menu. The product of $\left(n^2-6 n+3\right)$ and $-4 n$ is $\square$ When this product is multiplied by $-n$, the result is $\square$

[Done] Solve for $x$ in the equation $x^2-12 x+36=90$ A. $x=6 \pm 3 \sqrt{10}$ B. $x=6 \pm 2 \sqrt{7}$ C. $x=12 \pm 3 \sqrt{22}$ D. $x=12 \pm 3 \sqrt{10}$

[Done] Enter the correct answer in the box. Write the factored form of the least common denominator needed to simplify this expression. $\frac{g+1}{g^2+2 g-15}+\frac{g+3}{g+5}$

[Done] $\frac{1}{4}=\frac{3}{\square}=\frac{\square}{20}$

[Done] What is the $r$-value of the following data, to three decimal places? | x | y | | -- | -- | | 4 | 23 | | 5 | 12 | | 8 | 10 | | 9 | 9 | | 13 | 2 | A. -0.816 B. 0.903 C. 0.816 D. -0.903

[Done] Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is $\frac{1}{4}$ the area of the original square. What was the side length of the original square? $A=s^2$