A person whose height is M feet away from the base of the streetlight along a straight road, as shown in the figure above. The height of the streetlight is L feet. At time t seconds, the person is x feet from the streetlight, and the length of the person’s shadow is s feet. The quantities are related by the question 1/L(x+s)= 1/Ms, where L and M are constants. Which of the following best describes the relationship between the rate of change of x with respect to time and the rate of change of s with respect to time?

Asmall french-themed cafe has just introduced a quiche, a baked dish made with a pastry crust and a filling of beaten eggs and cream. quiche is frequently flavored by adding vegetables, meat and seafood. what does the chef ask the prep cooks to do so the vegetables in the dish bake evenly? a. choose special out-of-season vegetables b. wash the vegetable dishes extra clean c. label all the vegetable ingredients d. cut the vegetable pieces into the same size e. cut the vegetable pieces into a wide variety of interesting shapes

Ascientist has predicted that the population of earth will continue to grow exponentially until the year 2300. at that point, we will reach carrying capacity of earth’s resources, and population growth will plateau. if the scientist’s prediction is correct, what can you predict about human energy use at that time? justify your answer by explaining the relationship between population growth and energy use. (5 points)

The probability of committing a type i error is equal to which of the following? significance level, α type i error type ii error p-value alternative hypothesis