Acompany did a quality check on all the packs of trail mix it manufactured. each pack of trail mix is targeted to weigh 9.25 oz. a pack must weigh within 0.23 oz of the target weight to be accepted. what is the range of rejected masses, x, for the manufactured trail mixes? x < 9.02 or x > 9.48 because |x − 0.23| + 9.25 > 0 x < 9.25 or x > 9.48 because |x − 9.25| > 0.23 x < 9.25 or x > 9.48 because |x − 0.23| + 9.25 > 0 x < 9.02 or x > 9.48 because |x − 9.25| > 0.23

the answer is:

x < 9.02 or x > 9.48 because |x − 9.25| > 0.23

we don't have enough info to solve this

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