he Volume in an experiment is changed (in mL) is 200, 100, 50, 25, 12.5 and we measured the pressure (in atm) is 0.1000, 0.2000, 0.4000, 0.8000, 1.6000 then the slope of the graph will be... (Hint: You may want to draw it out first. Keep the numbers in order when you create your data table.)

Slope = - 1000.

Explanation:

The line of best fit of the graph will be linear.

The general linear equation can be expressed as;

Y = MX + C

Where the Y variable represents the volume in the experiment as dependent variable and the X represent the pressure as independent variable.

The equation can be rewritten as:

V = MP + C

Where C is the intercept.

Given that

V = 200, 100, 50, 25, 12.5 and

Pressure P = 0.1000, 0.2000, 0.4000, 0.8000, 1.6000

The slope M can be calculated by using the formula

M = (V2 - V1)/ (P2 - P1)

Where V1 = 200, V2 = 100, P1 = 0.1, P2 = 0.2

Substitute all the parameters into the formula

M =( 100 - 200)/ ( 0.2 - 0.1 )

M = -100/0.1

Slope M = - 1000

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

i would say