Questions in mathematics

Questions in mathematics

📝 Answered - Simplify: [tex]$\begin{aligned} \text { Simplify } & : 27_6-5^2 / 3+4^{3 / 4} \\ & =?\end{aligned}$[/tex]

📝 Answered - What are the values of $a, b$, and $c$ in the quadratic equation $0=5 x-4 x^2-2$? A. $a=5, b=4, c=2$ B. $a=5, b=-4, c=-2$ C. $a=-4, b=5, c=-2$ D. $a=4, b=-5, c=-2$

📝 Answered - Find the exact values of the following: (a) [tex]$\cos (\arctan (-10))$[/tex] (b) [tex]$\cos \left(\arcsin \left(\frac{-8}{17}\right)\right.[/tex]

📝 Answered - Point $P$ partitions the directed segment from $A$ to $B$ into a $1: 3$ ratio. $Q$ partitions the directed segment from $B$ to $A$ into a $1: 3$ ratio. Are $P$ and $Q$ the same point? Why or why not? A. Yes, they both partition the segment into a $1: 3$ ratio. B. Yes, they are both $\frac{1}{4}$ the distance from one endpoint to the other. C. No, $P$ is $\frac{1}{4}$ the distance from $A$ to $B$, and $Q$ is $\frac{1}{4}$ the distance from $B$ to $A$. D. No, Q is closer to A and P is closer to B.

📝 Answered - What is $\frac{x^{\frac{2}{3}} y}{x^{\frac{2}{3}} y^{\frac{1}{3}}}$ in simplest exponential form?

📝 Answered - 2. State whether each of the following mathematical statements is true (T) or false (F). If the statement is true, state the law that was applied. (a) [tex]$5+4=5 \times 4$[/tex] (b) [tex]$7+5=5+7$[/tex] (c) [tex]$3+(8+6)=(3+8)+6$[/tex] (d) [tex]$4+7+2=(4+7)+2$[/tex] (e) [tex]$7 \times 4=4 \times 7$[/tex] (f) [tex]$2 \times 6=6 \div 2$[/tex] (g) [tex]$2 \times(3 \times 8)=(2 \times 3) \times 8$[/tex] (h) [tex]$5 \times(3 \times 4)=5 \times(4+3)$[/tex]

📝 Answered - Subtract: $-9-(-3)-(-5) =$

📝 Answered - Solve the inequality: [tex]\( \sqrt{\sin x} \left( \cos x + \frac{\sqrt{3}}{2} \right) \leq 0 \)[/tex].

📝 Answered - Which points are on the perpendicular bisector of the given segment? Check all that apply. (-8,19) (1,-8) (0,19) (-5,10) (2,-7)

📝 Answered - What is the slope of a line that is perpendicular to the line [tex]$x=-3$[/tex]?