Tom needs 150 hours of work experience. his start date is march 2, 2019 until june 1, 2019. what is least amount of hours tom has to put in every day to achieve 150 hours before june 1?

1.65 Hours per day

Step-by-step explanation:

First we want to know how many days that is.  March has 31 days, April 30 and May 31.  Take one day away since he is starting on the second rather than the first of  march and that leaves us with 91, so we are looking for how many hours he has to do per day for 91 days.

Right away we can see if he does 1 hour per day that's 91 hours, and 2 hours per day will be 182, which is too much, so the number will be between 1 hour and 2 hours.

If we pretend that he needed 182 hours we know that that would be exactly 2 hours per day.  how did we get to that?  We divided 182 hours by 91 days.  So we have to do the same thing here, with 150 hours for 91 days.  It is not a nice number at al, so you'd just have to round, I chose to round to the second decimal place, or the hundreths place.  

Let me know if you need any more help.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

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