Myles doesn't want to spend more than $11,000 per month on gate keepers. he hires 12 gate keepers who work an average of 70 hours per month. what should myles pay for an hourly rate in order to stay within budget?

$13 or less

Step-by-step explanation:

If there are 12 gate keepers working 70 hours a month, then the total hours for all 12 gate keepers would be:

12 x 70 = 840

Then in order to stay in the budget, you should divide the total amount of hours (840) with the limit of money to spend (11,000), so we will know that he did not spend anymore than 11,000.

11,000/ 840 is around 13.

He should pay the gate keepers $13 or less.

I hope this helps! (it might be wrong, i'm very sorry if it is)

which of the following can speed up the rate at which the liver breaks  

down alcohol?

question 1 options:

carbohydrates  

coffee  

nothing  

high-protein meals  

step-by-step explanation:

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