20 ! ples hurry.

enter the missing numbers in the boxes to complete the table of equivalent ratios.

2   3

6   9

10   15

12   18

Step-by-step explanation:

since it's a ratio, we know that everything in the time collumn will be multiplied by the same thing to get the distance.  There is only one that we have both of so lets use it.  

6 times what equals 9?  we can just use algebra real quick to find that the ratio is 9/6 or 3/2.  Witht hat we can work on the rest of the values.

The first, we don't know time, but t*3/2=3 so t=2

second row is given

third row we don't know the time but t(3/2)=15 so t=10

fourth row we have the time so 12(3/2) = 18

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

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: