According to modern science, earth is 4.5 billion years old and written human history extends about 10,000 years back. suppose the entire history of earth is represented with a 1000 meter long timeline, with the birth of earth on one end and today on the other. what distance represents 4 billion years? how far from the end of the time line does written human history begin?

Step-by-step explanation:

Length is proportional to time, so ...

1. (4 billion)/(4.5 billion) = L/(1000 meters)

... L = (1000 meters)×4/4.5 = 888 8/9 meters

2. Using the same idea as in problem 1, the length is ...

... L = (1000 meters)×(10^4)/(4.5×10^9) = (2 2/9)×10^-3 meters = 2 2/9 mm

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation: