3) The original designer of the Taj Mahal expected the marble to last through all kinds of weather typical for the area 300 years ago, because the air was not polluted back then and the rain water back then would not have acids in it that break down marble. Use the data table below and data from your investigation to make an evidence-based argument to support the decision to use marble (calcium carbonate) for the building.

Make a bulleted list of ways interaction between Chinese society and Buddhism impacted Buddhism.

\( 26 \left. \begin{array} { c } { \lim _ { x \rightarrow - \infty } ( x ^ { 4 } + x ^ { 5 } ) } \\ { x } \end{array} \right. \)

В треугольник со сторонами 6,7 и 8 вписана окружность. Петя посчитал расстояния от каждой из вершин треугольника до ближайшей точки касания вписанной окружности со сторонами треугольника. Чему равно наименьшее из этих расстояний?

Multiply. Write each answer in scientific notation. a. \( \left(2.3 \times 10^{2}\right) \cdot\left(4 \times 10^{4}\right) \) b. \( \left(8 \times 10^{3}\right) \cdot\left(5 \times 10^{7}\right) \) c. \( \left(4.1 \times 10^{3}\right) \cdot\left(2 \times 10^{6}\right) \)

The function \( g(x) \) is defined by \[ g(x)=\left\{\begin{aligned} \frac{m^{2}-8}{}, & x \leq 2 \\ \frac{x-2}{\sqrt{2 x}-2}, & 28\end{aligned}\right. \] where \( m \) and \( k \) are constants. (a) If \( \lim _{x \rightarrow 2} g(x) \) exists, find the values of \( m \). (b) Find the values of \( k \) such that \( g(x) \) is discontinuous at \( x=8 \).