Many egg producers keep chickens in small cages that do not allow the chickens to move. some people believe that this is unhealthy, so they buy eggs from chickens that are not caged 24-hours a day. these are sometimes called “free-range” chickens. the united states department of agriculture (usda) allows chickens to be called free-range as long as the chickens spend some of their time outside. the european union (eu), however, has several additional restrictions. one of these is that the farmers must provide enough outside area so that if all the chickens were outside, the density of chickens would be no more than 0.25 chickens/sq meter. (wikipedia, 2014).

make sure that you fill in each answer area before checking "how did i do? ".

how many square meters does the eu require for one chicken?

square meters

a farmer in the united states wants to meet the eu guidelines. she measures her area in square yards (1 sq meter =1.196 sq yards). how many square yards does she need for 1,100 chickens?

(i) 301.1 square yards

(ii) 4,400.0 square yards

(iii) 4,812.2 square yards

(iv) 5,262.4 square yards

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

the bolded word " farsighted" could be replaced with visionary.