The following scenario, graph a function that would map Liza's distance away from her house according to the time elapsed. Liza has a few items she needs to pick up from a grocery store 8 blocks away. Liza travels as a constant rate of 2 blocks per minute when not stopped at a light. On her way to the grocery store she doesn't hit any red lights and the trip takes her 4 minutes. She spends 8 minutes in the grocery store and then starts to head home. When she's halfway home she hits a red light that lasts 3 minutes. After the light ends, she then drives the second half of the way home.

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

convert the answer to millimeters there are 25.4 millimeters in an inch and 12 inches in a foot so just divide the 5280 feet into a fraction of the numbers till you get to the simplest form you need so (5280 x 12=63360 inches) (63360 x 25.4=1609344 millimeters) (5280/12=440 feet) its as simple as that just break it down to it's simplest form.

the answer would be the first one, the box plot will have its right tail longer than the left tail because a few exceptionally high prices make the distribution skewed to the right.

step-by-step explanation: