Raj tested his new flashlight by shining it on his bedroom wall. The bea of light can be described by the equation x^2+y^2-2x-4y-31=0 . How many inches wide is the beam of light on the wall?

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Ijust need to see how to do this. so you don’t have to answer all of them just a step by step explanation of one.

What is the simplified form of (3.25x10^3)(7.8x10^6) written in scientific notation?