a) How does the distance traveled and time elapsed compare for Carrie and Kevin as they traveled from mile marker 225 to mile marker 230?

They travelled the same distance and they spent the same amount of time from the 225 marker to 230 marker.

Step-by-step explanation:

Given

See attachment for graph

Required

The relationship between distance and time travelled by Kevin and Carrie

The straight line represents Kevin's journey while the curve represents Carrie's

From the graph, we can see that the straight line and the curve both start at the origin (0,0) and they both end at the same point (17,5)

Point (17, 5) represents the 230 marker (i.e. 225 + 5 - 230)

Since the line and the curve meet at this point, then they travelled the same distance and they spent the same amount of time.

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

idk

step-by-step explanation: