The function a(x) = 210(1.12)x represents the number of ants in ant colony a x days after an experiment starts. the graph represents the number of ants in ant colony b during the same time period.

1.fill in the chart below for the number of ants in ant colony a each day. round to the nearest whole number.
2.show all your steps to find during week 0, how many more ants are there in ant colony a than in ant colony b?
3.show all your steps to find the growth rate of ant colony a.
4.show all your steps to find the growth rate of ant colony b.
5use 1-2 complete sentences to compare the growth rate of ant colony a with ant colony b.
6when does the daily number of ants in ant colony b exceed the daily number of ants in ant colony a? explain your answer using 1-2 complete sentences.

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

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation: