Which inequalities are true? Check all that apply. 1. √5 < 2.3 < √6
2. √5 < 2.4 < √6
3. √4 < √5 < √5.5
4. √8 < 3 < √9
5. √8 < 2.9 < √9
6. √4 < 4.5 < √5

1, 2, 3 and 5

Step-by-step explanation:

1. 2,23 < 2,3 < 2,44 True

2. 2,23 <2,4 < 2,44 True

3. 2 < 2,23 < 2,34 True

4. 2,83 < 3 < 3 False

5. 2,83 < 2,9 < 3 True

6. 2 < 4,5 < 2,23 False

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

hope this .

r3t40