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Questions in mathematics

[Answered] Find the exact value of $\csc 30^{\circ}$ in simplest form with a rational denominator.

[Answered] Anna needs to decide if the equation [tex]sin²0/1+cos0 = 1[/tex] is an identity. Choose 3 possible values for 0, substitute them into this equation, and simplify. What do your results indicate about the equation [tex]sin²0/1+cos0 = 1 – cos 0[/tex]? Show all your work.

[Answered] Which graph represents a line with a slope of $-\frac{2}{3}$ and a $y$-intercept equal to that of the line $y=\frac{2}{3} x-2$?

[Answered] If $(x+5)-2(4 x-1)=0$, what is the value of $x ?$ A. $x =1$ B. $x =2$ C. $x=3$ D. $x=4

[Answered] Solve each equation for [tex]$p$[/tex]. 7. [tex]$xp + yp = z$[/tex] 8. [tex]$n=\frac{p-k}{j}$[/tex] 9. [tex]$a=b+cp$[/tex] 10. [tex]$\frac{p+3}{m}=-1$[/tex]

[Answered] Solve the equation below for [tex]$x$[/tex]. [tex]$32 x=96$[/tex] A. [tex]$x=0.02$[/tex] B. [tex]$x=0.2$[/tex] C. [tex]$x=2$[/tex] D. [tex]$x=20$[/tex]

[Answered] Select the correct answer. Which expression is equivalent to the given expression? $\frac{6 a b}{\left(a^0 b^2\right)^4}$ A. $\frac{6}{a^3 b^7}$ B. $\frac{6}{a^3 b^5}$ C. $\frac{6 a}{b^7}$ D. $\frac{6 a}{b^5}$

[Answered] How many liters of water should be added to 18 liters of a [tex]$14 \%$[/tex] bleach solution so that the resulting solution contains only [tex]$10 \%$[/tex] bleach?

[Answered] When solving a system of equations by substitution, what is meant by a useless result $(12=12)$? a. parallel lines c. inconsistent system b. no solution d. dependent system

[Answered] Type the correct answer in the box. Use numerals instead of words. What is the solution to this equation? [tex]$3(n-9)-2(n+4)=6 n$[/tex] [tex]$n=\square$[/tex]