Suppose it is believed that the more pectin that is present in a sample of orange juice, the lower the sweetness index will be. Suppose it is desired to conduct a one-tailed test to determine if that is true. Identify the alternative hypothesis we should test and the p-value we would use for the resulting one-tailed test.

Geometry: determine whether segment mn is parallel to segment kl. justify your answer. jm 6 mk 3 jn 8 nl 4

Can someone check if i did this right since i really want to make sure it’s correct. if you do you so much

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)