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Questions in mathematics

[Answered] \frac{4}{6} \div \frac{3}{12}

[Answered] Solve: $\left|\frac{x}{6}-\frac{7}{12}\right|=\frac{11}{6}$ Negative Direction: $\frac{x}{6}-\frac{7}{12}=-\frac{11}{6}$ $\frac{x}{6}=-\frac{15}{12}$ Determine the values for $x$ by completing the steps shown. Positive Direction: $\frac{x}{6}-\frac{7}{12}=\frac{11}{6}$ $\frac{x}{6}=\frac{29}{12}$ $x=\frac{29}{2}$ or $x=-\frac{15}{2}$ $x=-\frac{29}{2}$ or $x=\frac{15}{2}$ $x=-\frac{29}{2}$ or $x=-\frac{15}{2}$ $x=\frac{39}{2}$ or $x=\frac{15}{2}$

[Answered] Sienna has a bag of colored marbles. The bag contains 70 green marbles, 42 orange marbles, and 28 purple marbles. What are the ratios of the number of green marbles, orange marbles, and purple marbles, respectively, to the total number of marbles? a) Green = 1 to 2 ; orange = 10 to 3 ; purple = 1: 5 b) Green = 1 to 2 ; orange = 3 to 10 ; purple = 1: 5 c) Green = 1 to 5 ; orange = 10 to 3 ; purple = 1: 2 d) Green = 1 to 5 ; orange = 3 to 10 ; purple = 1: 2

[Answered] Convert the decimal 0.92 to a fraction.

[Answered] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Answered] Solve for $t$. $e^{-0.24 t}=0.59$. The solution is $t = \square$. (Type an integer or decimal rounded to four decimal places as needed. Use a comma to separate answers as needed)

[Answered] Select the correct answer. Using synthetic division, find $(2 x^4+4 x^3+2 x^2+8 x+8) \div(x+2)$. A. $2 x^3+2 x+4$ B. $2 x^4+2 x^2+4 x$ C. $2 x^3+2 x+4+\frac{1}{x+2}$ D. $2 x^3+2 x^2+4

[Answered] Which expression is equivalent to $\frac{\sqrt{2}}{\sqrt[3]{2}}$ ? A. $\frac{1}{4}$ B. $\sqrt[6]{2}$ C. $\sqrt{2}$ D. $\frac{\sqrt{2}}{2}$

[Answered] $\int_0^{\frac{\pi}{3}} \frac{d x}{\cos x}$

[Answered] Let v be a vector with initial point (-5, -11) and terminal point (6, 2). What is the norm of vector v?