The number of butterfly gardens in a region, after x years, can be represented by the function g(x) = 5(1.05)x + 1. the approximate number of butterflies in each of these butterfly gardens, in hundreds, after x years, can be represented by the function b(x) = (1.05)8x. which function best describes t(x), the total number of butterflies, in hundreds, in the butterfly gardens in this region, after x years?

Total No of Butter flies in region is .

Step-by-step explanation:

No of Butterfly gardens in a region after x years , G(x) =  

No of Butterflies in a garden after x years , B(x) =  

Total No of Butter flies in region , T(x) = G(x) × B(x)

T(x) =

      =      (using law of exponent: )

      =

Therefore,  Total No of Butter flies in region is .

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c