The function c(t) represents the total cost for a quilter to make t quilts. c(t)=55t+175 what does the value 55 represent in this situation? for each quilt made, the total cost decreases by $55. for each quilt made, the total cost increases by $55. the initial cost is $55. the total cost to produce t quilts is $55.

for each quilt made, the total cost increases by $55

Step-by-step explanation:

In the function t, the number of quilts, is multiplied by 55.  This means that for every increase in t, the number of quilts, the cost is increased by $55.

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

597

step-by-step explanation: