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Questions in mathematics

[Done] Nina can stitch $\frac{2}{3}$ of a dress in 4 hours. If $d$ represents the number of dresses and $h$ represents the number of hours, which equation represents this proportional relationship? A. $d=6 h$ B. $3 d=4 h$ C. $d=\frac{1}{6} h$ D. $d=4 h$ E. $\frac{1}{6} d=12 h

[Done] $\frac{1}{2} \times \frac{5}{8}=$

[Done] Determine which of the following relations is a function.

[Done] Which is not a characteristic of the absolute value parent function? A. The domain is all real numbers. B. It is V-shaped. C. It goes through the origin. D. The range is all real numbers.

[Done] Select the choice that represents this two-variable equation after it has been solved for $y$ in terms of $x$. $3 y-x=1$ A. $y=\frac{x+1}{3}$

[Done] Subtract these polynomials. $\left(2 x^2+4 x+3\right)-\left(4 x^2-2 x-3\right)=$ A. $-2 x^2+6 x+6$ B. $6 x^2+2 x+0$ C. $-2 x^2+2 x+0$ D. $6 x^2+6 x+6$

[Done] Use the Ratio Test to determine the convergence of: [tex]$\sum_{n=1}^{\infty} \frac{3^n}{n!}$[/tex]

[Done] If $y$ varies directly as $x$, and $y$ is 20 when $x$ is 4, what is the constant of variation for this relation?

[Done] What is the solution set of the quadratic inequality [tex]x^2-5 \leq 0[/tex]? A. {x | -5 \leq x \leq \sqrt{5}} B. {x | -5 \leq x \leq 5} C. {x | -\sqrt{5} \leq x \leq 5} D. {x | -\sqrt{5} \leq x \leq \sqrt{5}}

[Done] At a game show, there are 6 people (including you and your friend) in the front row. The host randomly chooses 3 people from the front row to be contestants. The order in which they are chosen does not matter. How many ways can you and your friend both be chosen? A. ${ }_6 P_3=120$ B. ${ }_4 C_1=4$ C. ${ }_6 C_3=20$ D. ${ }_6 P_2=30