Take a look at the following decimal numbers: 0.5 1 Classify each number as either "terminating/finite" or "infinite". Justify your answer. 2 Express each number as a fraction in the form \( \frac{p}{q} \), where \( p \) and \( q \) are both intege and \( q \neq 0 \). 3 Write down a general rule for how to represent a finite decimal number as a fraction.

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event \( A \) : The sum is greater than 8 . Event \( B \) : The sum is not divisible by 4 . Round your answers to two decimal places. (a) \( P(A)= \) (b) \( P(B)= \)

Find the \( x \)-intercept and \( y \)-intercept of the line. \[ 5 x+6 y=-9 \] \( x \)-intercept: \( \square \)

A. Incenter B. Centroid C. Circumcenter

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event \( A \) : The sum is greater than 7. Event \( B \) : The sum is divisible by 3 or 6 (or both). Round your answers to two deamal places. (a) \( P(A)= \) (b) \( P(B)= \)

QUESTIONS: \( \begin{array}{l}\text { 1. Find } \int \frac{x^{4}+5 x^{3}}{x^{3}} d x \\ \text { 2. Find } \int \frac{x^{3}-3 x^{2}+3 x-1}{x-1} d x\end{array} \)