Find the absolute change and the relative change of the number of refugees in the world that increased from 8.7 million in 2005 to 16.1 million in 2015 on percentage.

Absolute change = 7.4 million

Relative change percentage = 85.1%

Step-by-step explanation:

Given that:

Number of refugees in 2005 = 8.7 million

Number of refugees in 2015 = 16.1 million

The absolute change :

(Number of refugees in 2015 - number of refugees in 2005)

(16.1 million - 8.7 million) = 7.4 million refugees

The relative change in the number of refugees :

((Number of refugees in 2015 - number of refugees in 2005) / number in 2005) * 100%

[(16.1 - 8.7) / 8.7] * 100%

(7.4 / 8.7) * 100%

0.8505747 * 100%

= 85.057%

= 85.1%

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

answer: 1 and 3

step-by-step explanation: