Use the following table to answer the question: x -25 -13 -3 0 9 11 h(x) 6 0 -5 -7 -14 -30 What is the average rate of change of h(x) over the interval -13 < x < 11

Evaluate the function below at x = 6. 5-3, x -1 f(æ) =

There is a relationship between perceived corruption and human development in a country that can be modeled by H(x) = 0.3 +0.28 In x. In this formula, x represents the Corruption Perception Index, where 1 is very corrupt and 10 is least corrupt. The output gives the Human Development Index, which is between 0.1 and 1 with 1 being the best for human development. (a) For country A, x = 5. Evaluate H(5) and interpret the result. (b) The Human Development Index is 0.69 for country B. Find the Corruption Perception Index for country B. (a) H(5)~ (Simplify your answer. Round to two decimal places as needed.)

In this example we considered the function W = f(T, v), where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A numerical representation is given in this table. (a) What is the value of f(-20, 40)? What is its meaning? f(-20, 40) = , which means that if the temperature is -20°C and the wind speed is 40 km/h, then the air would feel equivalent to approximately °C without wind. (b) Describe in words the meaning of the question "For what value of v is f(-10, v) = -15?" The question is asking: when the temperature is °C? Answer the question. V = km/h Answer the question. T = (c) Describe in words the meaning of the question "For what value of T is f(T, 10) = -39?" The question is asking: when the wind speed is °C? °C °C, what wind speed gives a wind-chill index of E km/h, what temperature gives a wind-chill index of d 9:16 PM 9/26/2022