A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end. Suppose you rolled a twelve-sided number cube instead of a standard six-sided one. How would the probability of these events change?

The theoretical probability of landing on a star space on your first roll
.

The theoretical probability of not landing on a question mark on your first roll
.

The theoretical probability of reaching the end space on your first roll
.

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

The complement of an angle is one-sixth the measure of the supplement of the angle. what is the measure of the complement angle?

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).