Can someone explain me how to do this step by step ?

in your lab, a substance's temperature has been observed to follow the function t(x) = (x + 5)3 + 7. the turning point of the graph is where the substance changes from a liquid to a solid. using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. hint: the turning point of the graph is similar to the vertex of a quadratic function.

Astore manager records the total visitors and sales, in dollars, for 10 days. the data is shown in the scatter plot. what conclusion can the store manager draw based on the data? question 3 options: an increase in sales causes a decrease in visitors. an increase in sales is correlated with a decrease in visitors. an increase in visitors is correlated with an increase in sales.

The bake stars picked 907 apples last weekend at a local orchard they made caramel apples and sold them in the bakery in trays of 6

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.