Suppose Latvia and Estonia each produce only two goods, tractors and bobsleds. Both are produced using labor alone. Assuming both countries are at full employment, you are given the following information: Latvia: 10 units of labor required to produce 1 tractor 4 units of labor required to produce 1 bobsled Total labor force: 1,000,000 units Estonia: 15 units of labor required to produce 1 tractor 10 units of labor required to produce 1 bobsled Total labor force: 750,000 units Draw the production possibility frontiers for each country in the absence of trade. 1.) Using the line drawing tool, draw the production possibility frontier for Latvia. Properly label your line.

answer: 12

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

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

answer: 193

explanation:

200-7 = 193