Has the marrying age of a man changed over the years? the united states bureau of the census takes a formal count of everyone in the u. s. every 10 years and has provided the following data that gives the median age of an american man at the time of his first marriage. year 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 median age 25.1 24.6 24.3 24.3 22.8 22.8 23.2 24.7 26.1 26.8 what does a rate of change of zero mean in this situation? a. the median age of a man at the time of his first marriage is, on the average, constant. b. the median age of a man at the time of his first marriage is, on the average, decreasing. c. the median age of a man at the time of his first marriage is, on the average, increasing. d. the rate of change cannot be zero in this situation.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

33 ! use the following data to determine the type of function (linear, quadratic, exponential) that best fits the data set. (1, 2) (5, 7) (9, 8) (3, 4) (4, 5) (2, 3)