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Questions in mathematics

[Answered] Factor: [tex]u^3+27[/tex]

[Answered] Use logarithm properties to write $12 \log _2 y+7 \log _2 w-15 \log _2 z$ as a single logarithm. $\log _2\left(\frac{y^{12} w^7}{z^{15}}\right)$ $\frac{\log _2(28 y w)}{\log _2\left(z^{15}\right)}$ $\log _2\left(y^{12}+w^7-z^{15}\right)$ $\log _2\left(\frac{28 y w}{5 z}\right)$

[Answered] [tex]\frac{x^2-4}{2 y} \div \frac{x^2-2 x}{x y}[/tex]

[Answered] What is the solution to the linear equation? [tex]$d-10-2 d+7=8+d-10-3 d$[/tex] A. [tex]$d=-5$[/tex] B. [tex]$d=-1$[/tex] C. [tex]$d=1$[/tex] D. [tex]$d=5$[/tex]

[Answered] When [tex]p^2-4 p[/tex] is subtracted from [tex]p^2+p-6[/tex], what is the result?

[Answered] If [tex]$QR = 5x$[/tex], [tex]$RS = x + 10$[/tex], and [tex]$QS = 16$[/tex], what is [tex]$RS$[/tex]?

[Answered] $3 \frac{1}{3} \times 4 \frac{5}{6}$

[Answered] 1. 527 mL + 0.87 mL = ? mL 2. 620 mL - 3.7 mL = ? mL 3. 90 mL + 6.5 mL = ? mL

[Answered] The test scores of a geometry class are given below: [tex]$90,75,72,88,85$[/tex] The teacher wants to find the variance for the class population. What is the value of the numerator of the calculation of the variance? Variance: [tex]$\sigma^2=\frac{\left(x_1-\mu\right)^2+\left(x_2-\mu\right)^2+\ldots+\left(x_N-\mu\right)^2}{N}$[/tex] A. -160 B. -6 C. 16 D. 258

[Answered] Which is the graph of [tex]y-6=-2(x+1)[/tex]?