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Questions in mathematics

[Done] Simplify the following expression, writing your answer with only positive exponents. 8^{2-9}

[Done] Using the quadratic formula to solve $7 x^2-x=7$, what are the values of $x$? $\frac{1 \pm \sqrt{195} i}{14}$ $\frac{1 \pm \sqrt{197}}{14}$ $\frac{1 \pm \sqrt{195}}{14}$ $\frac{1 \pm \sqrt{197} i}{14}$

[Done] Use a table of values to evaluate [tex]\lim _{x \rightarrow 0} \frac{\sin (7 x)}{x}[/tex]. A. [tex]\lim _{x \rightarrow 0} \frac{\sin (7 x)}{x}=0.1222[/tex] B. [tex]\lim _{x \rightarrow 0} \frac{\sin (7 x)}{x}[/tex] does not exist C. [tex]\lim _{x \rightarrow 0} \frac{\sin (7 x)}{x}=7[/tex] D. [tex]\lim _{x \rightarrow 0} \frac{\sin (7 x)}{x}=-7[/tex]

[Done] The statement $2+2=4$ would be considered a ______ in the science world. theory law hypothesis

[Done] If [tex]f(x)=x^2-2x[/tex] and [tex]g(x)=6x+4[/tex], for which value of [tex]x[/tex] does [tex](f+g)(x)=0[/tex]?

[Done] Find the value of $n$ and $YZ$ if $Y$ is between $X$ and $Z$. $XY = 5n, YZ = 2n, XZ = 91$ n = YZ =

[Done] (2) Answer the questions below to round 377 to the nearest hundred. a. The number 377 is between which two hundreds? b. What number is halfway between these two hundreds? $\qquad$ and $\qquad$ c. Is 377 less than or greater than the halfway number? d. Will you round up or down? e. What is 377 rounded to the nearest hundred? (8) The table below shows the miles between U.S. cities. Round each distance to the nearest hundred miles. $\qquad$ \begin{tabular}{|c|c|c|} \hline Cities & \begin{tabular}{c} Distance in \\ Miles \end{tabular} & \begin{tabular}{c} Distance to the \\ Nearest Hundred Miles \end{tabular} \\ \hline \begin{tabular}{c} Phoenix and \\ Las Vegas \end{tabular} & 292 & \\ \hline \begin{tabular}{c} Los Angeles and \\ San Francisco \end{tabular} & 386 & \\ \hline \end{tabular} 9 Which of these numbers could it be? Here are the clues. - The number is between the two hundreds, 500 and 600. - The number is greater than the halfway number. - You will round up to round this number to the nearest hundred. What is the number? Circle the correct answer. 525 575 501 650 10 What is 999 rounded to the nearest hundred? $\qquad$

[Done] Subtract $4x - 5y + 3z$ from the sum of $9x + 2y - 3z, -10x + y - z$ and $2x + 3y + 7z$.

[Done] $\frac{5.6 \times 10^{-18}}{8.9 \times 10^8}$

[Done] Find the exact value of [tex]$\tan \left(\frac{5 \pi}{4}\right)$[/tex] by using the unit circle.