answer:Tourism can lead to environmental degradation, such as pollution and habitat destruction. The commercialization of local culture can dilute its authenticity, potentially affecting the tourist experience and community identity. Additionally, tourists may unintentionally disrespect local customs and traditions, causing cultural clashes and strain on the relationship between visitors and residents.

answer:The most likely use of parallax by an astronomer is to measure the distance to a star. Explanation: Parallax is a method used to measure the distance to an object by observing it from two different locations. In astronomy, parallax is used to measure the distance to stars and other celestial objects. The astronomer would observe the star from two different points on Earth's orbit around the Sun, and measure the angle between the two sight lines. This angle is called the parallax angle, and it can be used to calculate the distance to the star.

answer:Methane (CH4) consists of a carbon atom covalently bonded to four hydrogen atoms. The carbon atom, being in period 2, follows the octet rule and does not have any lone electron pairs. As a result, there are four electron domains around the central carbon atom. According to the VSEPR theory, these four domains arrange themselves to minimize repulsion, giving the molecule a tetrahedral shape. Hence, the correct answer is: a. tetrahedral

answer:The Jacobian matrix of vec{F}(x, y, z) is given by: frac{partial (f, g, h)}{partial (x, y, z)} = left( begin{array}{ccc} frac{partial f}{partial x} & frac{partial f}{partial y} & frac{partial f}{partial z} frac{partial g}{partial x} & frac{partial g}{partial y} & frac{partial g}{partial z} frac{partial h}{partial x} & frac{partial h}{partial y} & frac{partial h}{partial z} end{array} right) Evaluating the partial derivatives, we get: frac{partial f}{partial x} = frac{1}{sqrt{1-x^2}}, quad frac{partial f}{partial y} = 0, quad frac{partial f}{partial z} = 0 frac{partial g}{partial x} = frac{y^2}{3sqrt[3]{x y^2}^2}, quad frac{partial g}{partial y} = frac{2x y}{3sqrt[3]{x y^2}^2}, quad frac{partial g}{partial z} = 0 frac{partial h}{partial x} = 0, quad frac{partial h}{partial y} = 0, quad frac{partial h}{partial z} = 1 Thus, the Jacobian matrix is: left( begin{array}{ccc} frac{1}{sqrt{1-x^2}} & 0 & 0 frac{y^2}{3 sqrt[3]{x y^2}^2} & frac{2 x y}{3 sqrt[3]{x y^2}^2} & 0 0 & 0 & 1 end{array} right)