The table represents an exponential function.

what is the ratio of outputs for any two inputs that are two values apart?

divide the larger output by the smaller output.

enter your answer, as a decimal to the nearest hundredth, in the box.

number of years from now value of a scooter ($)
0 45
1 48.24
2 51.71
3 55.44
4 59.43

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 > ?

He factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). what are the values of j and k?

Can random samples and proportional reasoning be used to determine precise information about a population? explain