Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 3 times as many problems as Vicki. The expression shows how many problems they have worked altogether.

Which of the following is another expression that could be used to get the same result, and what does it represent?
A.
4p. This represents that Vicky and Tamra have worked on 4p problems altogether.
B.
p + 3. This represents that Vicky and Tamra have worked on p + 3 problems altogether.
C.
4p2. This represents that Vicky and Tamra have worked on 4p2 problems altogether.
D.
p + 4. This represents that Vicky and Tamra have worked on p + 4 problems altogether.

I think that it is D

Step-by-step explanation:Hope I helped

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