What is 13.253 as a mixed number
sorry to ask again but this is very important

13 253/1000

Step-by-step explanation:

To convert 13.253 to a fraction first write it like this:

13.253/1

As we have 3 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 10^3= 1000, so that there is no decimal point in the numerator.

13.253 x 1000 / 1 x 1000  = 13253/1000

As the numerator is greater than the denominator, we have an improper fraction, so we can also express 13.253 as a mixed number, thus 13253/1000 is equal to:

13 253/1000

on friday there were 15 birds

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