A bank assigns random 4-digit numbers for ATM access codes. In each code, no digit is repeated.
How many arrangements of 4 digits can be chosen from 10 digits, if order is not important?

True or false: the graph of y=f(bx) is a horizontal compression of the graph y=f(x) if b< 1

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

Parabolas y=−2x^2 and y=2x^2+k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.