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Questions in mathematics

[Done] What is the following sum? $\begin{array}{l} 5 x(\sqrt[3]{x^2 y})+2(\sqrt[3]{x^5 y}) \\ 07 x(\sqrt[6]{x^2 y}) \\ 07 x^2(\sqrt[6]{x y^2}) \\ 07 x^2(\sqrt[3]{x y^2}) \\ 07 x(\sqrt[3]{x^2 y}) \end{array}$

[Done] Add: $19+24+38$ A) 43 B) 62 C) 61 D) 81

[Done] Solve for $x$. $\begin{array}{c} 5(12-2 x)=-10 \\ x=[?] \end{array}$

[Done] Identify the greatest common factor of 40 and [tex]$20 z$[/tex].

[Done] What is the $y$-value of the vertex of the function $f(x)=-(x+8)(x-14)$?

[Done] Find the logarithm using the change of base formula. [tex]$\log _6 15$[/tex]

[Done] Which letter marks $\frac{2}{5}$ on this number line?

[Done] Nolan plots the [tex]$y$[/tex]-intercept of a line at [tex]$(0,3)$[/tex] on the [tex]$y$[/tex]-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan's line? A. [tex]$y=2 x+1$[/tex] B. [tex]$y=2 x+3$[/tex] C. [tex]$y=3 x+2$[/tex] D. [tex]$y=3 x+5$[/tex]

[Done] Solve $\frac{4}{r}=\cos 43^{\circ}$ Give your answer to 2 d.p.

[Done] A football coach is trying to decide: When a team is ahead late in the game, which strategy is better? - Play the "regular" defense. - Play a "prevent" defense that guards against long gains but makes short gains easier. The coach reviews the outcomes of 100 games. | | Win | Loss | Total | |------------------|-----|------|-------| | Regular defense | 41 | 9 | 50 | | Prevent defense | 32 | 18 | 50 | | Total | 73 | 27 | 100 | Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion based on your results. A. [tex]P(\text{win }|\text{ regular })=0.33[/tex] [tex]P(\text{win | prevent})=0.67[/tex] Conclusion: You are more likely to win by playing regular defense. B. [tex]P(\text{win }|\text{ regular })=0.82[/tex] [tex]P(\text{win }|\text{ prevent})=0.64[/tex] Conclusion: You are more likely to win by playing prevent defense. C. [tex]P(\text{win }|\text{ regular })=0.33[/tex] [tex]P(\text{win }|\text{ prevent})=0.67[/tex] Conclusion: You are more likely to win by playing prevent defense. D. [tex]P(\text{win }|\text{ regular })=0.82[/tex] [tex]P(\text{win }|\text{ prevent})=0.64[/tex] Conclusion: You are more likely to win by playing regular defense.