\( \tan x(2 \sin x-\sqrt{3})=0 \) Write your answer in radians in terms of \( \pi \). If there is more than one solution, separate them with commas. \( x=\square \)

WORKSHEET: ADolications of Integration For a manufacturer, the marginal cost (in dollars) per unit, \( C^{\prime}(x) \), when producing units is given by \( C^{\prime}(x)=3 x^{2}-60 x+400 \). (a) Given that the total cost of producing the first 2 units is \( \$ 900 \), use integration (b) Herme calculate the total cost of producing the first 5 units.

Use turquoise (equilateral) triangles to investigate if a vertex of a polyhedron can be formed with fewer than three edges. Use a sketch to support your thinking.

Perimetro axpresen en la unidad indicada a. \( 0,05 \mathrm{~km}= \) b. \( 2,5 \mathrm{dm}= \) c. \( 1235 \mathrm{~cm}= \) d. \( 3500 \mathrm{~mm}= \) e. \( 7,5 \mathrm{hm}= \) f. \( 0,034 \mathrm{~km}= \)

Add. \[ \frac{a-2}{8 a}+\frac{2 a-1}{3 a} \] Simplify your answer as much as possible.

If the area of inequality (area between the line of perfect equality and the Lorenz Curve) equals 0 and the area beneath the line of perfect equality (given by OAB in the diagram) equals 0.7 , calcus the Gini coefficient. A 0,5 B 0,35 C 0,6 D 0,7