The spinner is divided into 8 equal sections. A spinner divided into 8 equal sections labeled brown, green, red, purple, brown, green, yellow, blue. What is the probability of spinning blue or green? StartFraction 1 over 8 EndFraction StartFraction 3 over 8 EndFraction One-half StartFraction 5 over 8 EndFraction

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

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).

The statement tan theta= -12/5, csc theta=-13/12, and the terminal point determained by theta is in quadrant two