What is the exact value of sin(v + w), given Sine v = negative three-fifths, Cosine w = StartFraction 10 Over 11 EndFraction, v is an angle in Quadrant III, and w is an angle is Quadrant IV? StartFraction negative 30 + 4 StartRoot 21 EndRoot Over 55 EndFraction StartFraction negative 30 minus 4 StartRoot 21 EndRoot Over 55 EndFraction StartFraction negative 33 + 5 StartRoot 21 EndRoot Over 55 EndFraction StartFraction negative 33 minus 5 StartRoot 21 EndRoot Over 55 EndFraction

Find the number of positive three-digit even integers whose digits are among 9, 8, 7,5, 3, and 1.

Which term best describes the association between variables a and b? no association a negative linear association a positive linear association a nonlinear association a scatterplot with an x axis labeled, variable a from zero to ten in increments of two and the y axis labeled, variable b from zero to one hundred forty in increments of twenty with fifteen points in a positive trend.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)