Questions in mathematics

Questions in mathematics

[Free] Which expression is equivalent to the following complex fraction? $\frac{1-\frac{1}{x}}{2}$

[Free] Is this equation an identity? [tex] \begin{array}{l} -1+4(3 d-13)=18 d+13+ \ 18 \end{array} [/tex] yes no

[Free] The volume of air inside a rubber ball with radius [tex]$r$[/tex] can be found using the function [tex]$V(n)=\frac{4}{3} \pi r^3$[/tex]. What does [tex]$V\left(\frac{5}{7}\right)$[/tex] represent? A. the radius of the rubber ball when the volume equals [tex]$\frac{5}{7}$[/tex] cubic feet B. the volume of the rubber ball when the radius equals [tex]$\frac{5}{7}$[/tex] feet C. that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet D. that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet

[Free] What is the correlation coefficient for the data shown in the table?

[Free] Solve the system of equations: [tex] \begin{array}{l} y=-2y+6 \ -4y+y=-20 \end{array} [/tex]

[Free] Yes, because the upper limit of the 68.26% interval is less than 8 minutes. (d) How do the percentages of the 100 waiting times in Table 1.9 that actually fall into intervals [$\bar{x} \pm s$], [$\bar{x} \pm 2 s$], and [$\bar{x} \pm 3 s$] compare to those given by the Empirical Rule? Do these comparisons indicate that the statistical inferences you made in parts b and c are reasonably valid? (Round your answers to the nearest whole number.)

[Free] Perform the division. $(60 x^{18}-54 x^{17}+30 x^{16}-18 x^{15}) \div(6 x^{19})$

[Free] Decide which is the correct factored form of [tex]$7 x^2-13 x-2$[/tex]

[Free] How much would you have to deposit in an account with an $8 \%$ interest rate, compounded continuously, to have $3000 in your account 10 years later? [tex]P=[?][/tex] Round to the nearest cent.

[Free] The functions $f$ and $g$ are defined as follows. $f(x)=\frac{6 x+7}{5 x+3} \quad \text { and } \quad g(x)=\sqrt{x^2-8 x}$ Find $f\left(\frac{5}{x}\right)$ and $g(x-3)$. Write your answers without parentheses and simplify them as much as possible. $f\left(\frac{5}{x}\right)=\square$ $g(x-3)=\square