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Questions in mathematics

[Jawaban] What is the solution set to the inequality $5(x-2)(x+4)>0$? A. {x | x<-4 or x>2} B. {x | x>-4 and x<2} C. {x | x<-2 or x>4} D. {x | x>-2 or x<4}

[Jawaban] Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. Which shows the correct equation and value of [tex]$x$[/tex], the distance of 1 lap around the path at the park? A. [tex]3.6x + 1.2 = 4.8; x = 1[/tex] mile B. [tex]4.8x + 1.2 = 3.6; x = 0.5[/tex] mile C. [tex]3.6x + 1.2 = 4.8; x = 0.5[/tex] mile D. [tex]4.8x + 1.2 = 3.6; x = 0.5[/tex] mile

[Jawaban] 11. If [tex]A={2,3,4}, B={3,5,6}[/tex], and [tex]c={5,7,9}[/tex], prove the associative property of the union of set. 12. If [tex]A={m, n, o}, B={p, q, r, s}[/tex], and [tex]C={n, o, p, q}[/tex], prove the associative property of intersection of sets.

[Jawaban] B. Find the nth term (general term) of the following sequences. 1) 3, 5, 7, 9, 11, ... 2) 7, 11, 15, 19, 23, ... 3) 2, 8, 18, 32, ... 4) -1, 1, 3, 5, 7, 9, ... 5) -2, 1, 4, 7, 10, ...

[Jawaban] (c) What comes just before and just after? Write even or odd. (a) 11 12 13 odd even odd (b) 44 45 46 odd even odd (c) 100 101 102

[Jawaban] Derive the standard formula of a circle. A radius [tex]$r$[/tex] is constructed as the hypotenuse of a right triangle as shown. What are the lengths of the sides of the right triangle that is formed? Check all that apply. [ ] [tex]$h$[/tex] [ ] [tex]$k$[/tex] [ ] [tex]$h-k$[/tex] [ ] [tex]$x-h$[/tex] [ ] [tex]$x-y$[/tex] [ ] [tex]$y-h$[/tex] [ ] [tex]$y-k$[/tex]

[Jawaban] The parabola opens to the right. The focus is given as $F(p, 0)$ and directrix $x=-p$. The distance between the focus and point $P$ is equal to the distance between the directrix and point $P$. Continue to simplify the equation to solve for $y^2$. $\begin{array}{c} F P=Q P \\ \sqrt{(x-p)^2+(y-0)^2}=\sqrt{(x-(-p))^2+(y-y)^2} \end{array}$ $y^2 = $ $\square$

[Jawaban] Suppose 54 people took the final exam in a math class. If 18 people got an A on the final exam, what fraction of the students did not get an A on the exam? Write your answer in lowest terms.

[Jawaban] What is the complement of [tex]$\cot 30^{\circ}$[/tex]?

[Jawaban] The terminal side of an angle in standard position passes through $P(15,-8)$. What is the value of $\sin \theta$? A. $\sin \theta=-\frac{15}{17}$ B. $\sin \theta=-\frac{8}{17}$ C. $\sin \theta=\frac{8}{17}$ D. $\sin \theta=\frac{15}{17}$