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Questions in mathematics

[Done] Each exterior angle of a regular decagon has a measure of $(3 x+6)^{\circ}$. What is the value of $x$? A. $x=8$ B. $x=10$ C. $x=13$ D. $x=18

[Done] Write the missing numbers in this multiplication grid. \begin{tabular}{|c|c|c|} \cline { 2 - 3 } \multicolumn{1}{c|}{$x$} & 6 & -5 \\ \hline 8 & 48 & -40 \\ \hline-4 & & 20 \\ \hline \end{tabular}

[Done] Find the slope of the line passing through the points $(6,3)$ and $(6,-3)$.

[Done] The following inequalities form a system. [tex] \begin{array}{l} y \leq \frac{2}{3} x+1 \\ y\ \textgreater \ -\frac{1}{4} x+2 \end{array} [/tex] Which ordered pair is included in the solution to this system? (6,-2) (6,0.5) (6,5) (6,8)

[Done] If [tex]f(x)=-5^x-4[/tex] and [tex]g(x)=-3 x-2[/tex], find [tex](f+g)(x)[/tex] A. [tex](f+g)(x)=-8 x-6[/tex] B. [tex](f+g)(x)=5^x+3 x+6[/tex] C. [tex](f+g)(x)=-5^x-7 x-2[/tex] D. [tex](f+g)(x)=-5^x-3 x-6[/tex]

[Done] c) $\frac{2}{3}-\frac{1}{2}$

[Done] Which is the marginal relative frequency for the people who do not like cantaloupe? A. [$\frac{25}{91}$] B. [$\frac{66}{200}$] C. [$\frac{91}{200}$] D. [$\frac{56}{91}$]

[Done] If you are standing 9th in a queue from either end, how many persons are standing in the queue?

[Done] 1. Find the mean of the first five prime numbers. 2. If the median of 17, 13, 10, 15, a is 14, find a if a is an integer. 3. Find 'a' if the mean of 6, 16, a, 12 is 14.

[Done] 2) A binary operation is defined on the set of real numbers R by: \[ a \triangle b = \frac{2a + \frac{1}{2}b}{2} \] Find the: (a) Inverse of -7 and 3 under the operation. (b) The identity element.