Complete the table to investigate dilations of exponential functions. A 4-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled 2 Superscript x Baseline with entries one-fourth, one-half, a, d, 4. Column 3 is labeled 3 times 2 Superscript x Baseline with entries three-fourths, three-halves, b, e, 12. Column 4 is labeled 2 Superscript 3 x Baseline with entries StartFraction 1 Over 64 EndFraction, StartFraction 1 Over 8 EndFraction, c, f, 64.

a =
b =
c =
d =
e =
f =

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

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2

step-by-step explanation: