What would the equation be for d=0.68t + 1.5

Step-by-step explanation:

a)

d=0.68t + 1.5        if t time is 3 hrs

d=0.68(3) + 1.5

 = 2.04 + 1.5

d= 3.54 ft

b)

d=0.68t + 1.5     if d depth is 4 ft    solve for t

d - 1.5 = 0.68t

(d - 1.5) / 0.68 = t

(4 - 1.5) / 0.68 = t

t = 2.5/0.68

t  =  3.68 ft

c)   I needed to bury my moth  cat.

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