You own 16 CDs that are stored in a box. You have decided to display 6 of them on a shelf. One at a time, you randomly select a CD from the box and place it on the shelf until there are 6 CDs on the shelf. What is the probability that the CDs on the shelf end up in alphabetical order? Write your answer as a simplified fraction. The probability that the 6 CDs on the shelf are in alphabetical order is

(03 Resolva, em \( \mathbb{R} \), as seguintes equaçōes exponenciais: a. \( 8^{x}=16 \) b. \( 9^{*+1}=\sqrt[2]{3} \) c. \( 4^{*}=\frac{1}{2} \) d. \( 10^{*} \cdot 10^{*-2}=1000 \)

\begin{tabular}{l|l|l}945789 & 5459789 & 345789 \\ La constante aditiva es & en orden descendente. \end{tabular}

Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term. \( g(x)=\frac{4-x^{6}}{3} \) A. It is a polynomial of degree (Type an integer or a fraction.) B. It is not a polynomial because the variable \( x \) is raised to the \( \square \) power, which is not a nonnegative integer. (Type an integer or a fraction.) C. It is not a polynomial because the function is the ratio of two distinct polynomials, and the polynomial in the denominator is of positive degree.

14) 9.) \( \frac{3}{4}+\frac{1}{3}-\frac{5}{8} \)

Let \( 7 x^{6}+y^{5}+3 y=11 \). Compute \( \frac{d y}{d x} \) \( \frac{d y}{d x}=\square \)