Safety goggles function best at room temperature, or 75° F. A pair of special safety goggles can function at temperatures that differ from this value by at most 41.3° F. Write and solve an absolute-value inequality to find the range of acceptable temperatures. Graph the solution​

Create a data set with 8 points in it that has a mean of approximately 10 and a standard deviation of approximately 1.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)

Acomposition of transformations maps δxyz to δx"y"z". the first transformation for this composition is , and the second transformation is a 90° rotation about point x'.