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Questions in mathematics

[Done] d. [tex]9^{\frac{1}{2}} \cdot 8^{\frac{1}{3}}-25^{\frac{1}{2}}[/tex]

[Done] Which equation has the solutions [tex]$x=\frac{-3 \pm \sqrt{3} i}{2}$[/tex]? A. [tex]$2 x^2+6 x+9=0$[/tex] B. [tex]$x^2+3 x+12=0$[/tex] C. [tex]$x^2+3 x+3=0$[/tex] D. [tex]$2 x^2+6 x+3=0$[/tex]

[Done] Consider the graph of a function [tex]$y=f(x)$[/tex]. Evaluate [tex]$\lim _{x \rightarrow-3} f(x), \lim _{x \rightarrow 1} f(x)$[/tex], and [tex]$\lim _{x \rightarrow 3} f(x)$[/tex].

[Done] For exercises 9-12, give the equivalent decimal for each fraction. 9. [tex]$\frac{2}{3}$[/tex] 10. [tex]$\frac{2}{9}$[/tex] 11. [tex]$\frac{5}{3}$[/tex] 12. [tex]$\frac{7}{9}$[/tex]

[Done] The function [tex]$V(r)=\frac{4}{3} \pi r^3$[/tex] can be used to find the volume of air inside a basketball given its radius. What does [tex]$V(r)$[/tex] represent? A. the radius of the basketball when the volume is [tex]$V$[/tex] B. the volume of the basketball when the radius is [tex]$r$[/tex] C. the volume of the basketball when the radius is [tex]$V$[/tex] D. the radius of the basketball when the volume is [tex]$r$[/tex]

[Done] Which statement is true about the discontinuities of the function [tex]f(x)[/tex]? [tex]f(x)=\frac{x-5}{3 x^2-17 x-28}[/tex] A. There are holes at [tex]x=7[/tex] and [tex]x=-\frac{4}{3}[/tex]. B. There are asymptotes at [tex]x=7[/tex] and [tex]x=-\frac{4}{3}[/tex]. C. There are asymptotes at [tex]x=-7[/tex] and [tex]x=\frac{4}{3}[/tex]. D. There are holes at [tex](-7,0)[/tex] and [tex]x=\frac{4}{3}[/tex].

[Done] $\frac{4+7 i}{8+3 i}$

[Done] Eduardo has a red 6-sided number cube and a blue 6-sided number cube. The faces of the cubes are numbered 1 through 6. Eduardo rolls both cubes at the same time. The random variable [tex]$X$[/tex] is the number on the red cube minus the number on the blue cube. What is [tex]$P(-2 \leq X \leq 1)$[/tex]? Enter your answer, in simplest fraction form, in the box.

[Done] Figure 2 is a scaled copy of Figure 1. Select all of the statements that must be true. A. Figure 2 is larger than Figure 1. B. Figure 2 has the same number of edges as Figure 1. C. Figure 2 has the same perimeter as Figure 1. D. Figure 2 has the same perimeter as Figure 1. E. Figure 2 has angles with the same measures as Figure 1

[Done] What does qualitative mean? 1. None of these 2. A number is associated with it. 3. The uncertainty of a measurement 4. All numbers are expressed in exponential form. 5. No number is associated with it.