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Questions in mathematics

[Free] Solve each problem. Round to the nearest tenth, if necessary. 1. In baseball, a player's batting average is calculated by using the formula Average [tex]=\frac{\text { Hits }}{\text { At Bats }}[/tex]. Find the number of times a player has batted if he has 24 hits and a batting average of approximately 0.320. [tex]0.370=\frac{24}{\text { at batos }} \quad \text { at bats }=\frac{24}{0.32}[/tex] 2. Dan drove 512 miles in 8 hours. What was his average speed for the trip?

[Free] Evaluate [tex]$\lim _{x \rightarrow 5} \frac{\frac{1}{x}-\frac{1}{5}}{x-5}$[/tex] algebraically by simplifying if possible, then using direct substitution. a.) [tex]$\lim _{x \rightarrow 5} \frac{\frac{1}{x}-\frac{1}{5}}{x-5}$[/tex] does not exist b.) [tex]$\lim _{x \rightarrow 5} \frac{\frac{1}{x}-\frac{1}{5}}{x-5}=0$[/tex] c.) [tex]$\lim _{x \rightarrow 5} \frac{\frac{1}{x}-\frac{1}{5}}{x-5}=-\frac{1}{25}$[/tex] d.) [tex]$\lim _{x \rightarrow 5} \frac{\frac{1}{x}-\frac{1}{5}}{x-5}=\frac{1}{25}$[/tex]

[Free] Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). All percentage values in the answers need to include a percentage sign (%). For all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06). Use the following table to answer each question. Elizabeth wants to change cell phone plans. Before contacting the service provider, she makes a table of her cell phone minutes used over the course of a week. [tex] \begin{table} \captionsetup{labelformat=empty} \caption{Daily Cell Phone Minutes Used} \begin{tabular}{|c|c|c|c|c|c|c|} \hline Mon & Tues & Wed & Thurs & Fri & Sat & Sun \\ \hline$x_1$ & $x_2$ & $x_3$ & $x_4$ & $x_5$ & $x_6$ & $x_7$ \\ \hline 38 & 62 & 40 & 10 & 30 & 55 & 65 \\ \hline \end{tabular} \end{table} [/tex] 1. Round the following value [tex]$\frac{1}{7} \sum_{i=1}^7 x_{i_i}$[/tex] to the nearest minute. 2. Round the following value [tex]$\frac{1}{4} \sum_{i=2}^5 x_i$[/tex] to the nearest minute.

[Free] The solution set in interval notation is $\left.\left[\frac{5}{4}, \frac{9}{4}\right]\right]$. Part 1 of 2. Graph the solution set.

[Free] The solution process is shown for an equation. Justify each step in the process with the app. Select the correct answer from each drop-down menu. | | | | :---------------- | :------------------ | | [tex]2(3 y+4)-3(y-2)=2 y[/tex] | original equation | | [tex]6 y+8-3 y+6=2 y[/tex] | | | [tex]3 y+14=2 y[/tex] | distributive property | | [tex]14=-y[/tex] | multiplication property of equality | | [tex]-14=y[/tex] | reflexive property of equality subtraction property of equality | | [tex]y=-14[/tex] | |

[Free] $(5 x^2+4 x+8)-(-9 x-3)$

[Free] Given $3y^n = -3$, simplify $6x^2 - 5y^2 + 5$.

[Free] \begin{tabular}{|l|l|} \hline 15 & 2 \\ \hline 15 & 3 \\ \hline 20 & 4 \\ \hline 20 & 5 \\ \hline \end{tabular} c. \$\{(-8,8),(-6,5),(-6,4),(-3,1),(-1,0)\}\$ D.

[Free] $\begin{array}{c}6+3 x=8 x-14 \ -6\end{array}$

[Free] Directions: Create an equation (part + part = total) for the following diagram, then solve for x. Equation: [ ] 7x - 3 + 5x - 3 = 6 x = [ ]