Astudy was done by an online matchmaking company to determine the rate at which users used its website. a graph of the data that was collected is shown:
a line graph with number of months on the x axis and number of users, in thousands, on the y axis. the x axis has a scale from 0 to 12 with an increment of 1. the y axis has a scale of 0 to 40 with increments of 5. a straight line connecting 0, 25 and 12, 25 is drawn.
what can be interpreted from the range of this graph?
the range represents the number of users each month for 12 months.
the range represents the number of users each month for 25 months.
the range represents the 12-month time period of the study.
the range represents the 25-month time period of the study.

The range represents the number of users each month for 12 months

Step-by-step explanation:

we have

x > represent  the number of months

y > represent the number of users

we have the points

(0,25) and (12,25)

This is a horizontal line (the slope is equal to zero)

The equation is

y=25

That means > In 12 months the number of users each month is equal to 25

therefore

The range represents the number of users each month for 12 months

A

Step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

step-by-step explanation: