1. There is a proportional relationship between the distance a car drives and the amount of gas used. Complete the table. 2. Find each ratio. \( \frac{\text { miles }}{\text { gallons }} \rightarrow \frac{100}{5}=\frac{200}{15}=\frac{400}{}=\frac{600}{30} \) Each ratio is equal to 3. Let \( x \) represent gallons of gas used. Let \( y \) represent b. The equation that describes the relationship is

7. Исследуйте но чётность и нечетность функции а) \( \mathrm{y}=4 \mathrm{x}-2 \mathrm{x}^{3}+6 \mathrm{x}^{5} \quad \); б) \( f(x)=\frac{5}{x^{4}+4 x^{2}} \)

What is the absolute value of \( 2-i \) ? A. 2 B. \( \sqrt{3} \) C. \( \sqrt{5} \) D. \( 2+i \) E. \( -2+i \)

3 Consider the product \( \left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right) \ldots \) Each factor in the product is of the form \( \left(1+\frac{1}{n}\right) \) for \( n \geq 2 \). Determine ALL the values of \( n \) for which the product will be an integer value.

2. \( \frac{1}{\sqrt{3}+\sqrt{2}} \div \frac{1}{\sqrt{4}+\sqrt{3}} \div \frac{1}{\sqrt{5}+\sqrt{4}}= \) ?

20. Vereinfache im Kopf. \( \begin{array}{lll}\text { a) }\left(5^{\frac{4}{5}}\right)^{\frac{5}{2}} & \text { b) }\left(36^{\frac{3}{4}}\right)^{\frac{2}{3}} & \text { c) }\left(49^{-\frac{6}{7}}\right)^{\frac{7}{12}}\end{array} \)