Please help! Raj wants to take yoga classes. There are two yoga studios that have different membership plans. The first studio charges a fixed amount of $70 per month, and you can takes as many classes as you want for no additional charge.
The second studio charges a smaller initial fee plus an additional fee for each class taken. The monthly price (in dollars) of a second studio as a function of the number of classes taken is given by the following table of values:

*Graph shown below*

Which studio charges more for each additional charge?
Choose 1
A. The first studio
B. The second studio
C. They both charge the same for each additional class

Raj wants to take 8 classes each month. Which studio is cheaper for him?
Choose 1
A. The first studio
B. The second studio
C. The both cost the same for 8 classes a month

Which studio charges more for each additional charge? B

Raj wants to take 8 classes each month. Which studio is cheaper for him? A

Step-by-step explanation:

Studio one has no additional charge.

Studio two 8 classes would be 100 dollars more than the 70dollar flat fee of studio one.

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