Calcula el valor de la serie aritmetica: \[ S=6+9+12+15+18 \]

Rahmah is putting up a fence around their rectangula yard. The fence will be 13 yards long and 7 yards wide What is the area of Rahmah's yard, in square yards? Remember, the formula for the area of a rectangle is \( b \times h \) where \( b \) represents the length of the base and \( h \) represents the height.

\( \begin{array}{ll}\text { g) } 4 \frac{4}{5}: \frac{8}{15} & \text { h) } 2 \frac{3}{4}: \frac{11}{12} \\ \text { i) } 6 \frac{3}{5}: \frac{3}{5} & \text { j) } 5 \frac{4}{7}: 3 \frac{3}{12}\end{array} \)

\( f(x)=2 x^{2}+16 x-10 \) (a) The function's vertex is at the point \( (-4,-42) \) (Type an ordered pair, using integers or fractions.) (b) Determine whether the parabola has a maximum value or a minimum value and find the value. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a fraction.) A. The parabola opens downward and has a maximum value of (c) The range of \( f(x) \) is \( [-42, \infty \) ) (Type your answer in interval notation Use integers or fractions for any numbers in the expression.) (d) The function is increasing on (Type your answer in interval notation. Use integers or fractions for any numbers in the expression )

A pet shelter has 3 dogs for every 2 cats. If the shelter has 15 dogs, how many cats does it have?

1. Evaluate the following: Hint: Inverse trigonometry (a) (2 points) \[ \int \frac{1}{x \sqrt{4 x^{2}-2}} d x \]