Answer:
They wanted things done a certain way.
Step-by-step explanation:
When you imagine something in your head you think of it and when it actually happens you want it to be just like you imagined it. In order to have it just the way that you want it you have to have rules so that it would stay just as you wanted it. If something were messed up or done wrong while farming that could cause a time where they go with out and there could be hard time where some people go without food if even one little thing is done wrong.
Answer:
work is pictured and shown
Answer:
60+4.5pi
Step-by-step explanation:
6×10 obv + area of circle pi(r^2) and half that for a semi cirxle
Answer:
Step-by-step explanation:
<u>Rates of Change as Derivatives</u>
If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or
The volume of a sphere of radius r is
The volume of the balloon is growing at a rate of 
. This can be written as
We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get
solving for 
We need to find the value of r, which can be obtained by using the condition that in that exact time
Simplifying and isolating r
![\displaystyle r=\sqrt[3]{512}=8\ cm](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%3D%5Csqrt%5B3%5D%7B512%7D%3D8%5C%20cm)
Replacing in the rate of change
Answer:
0.155
Step-by-step explanation:
nth term of a geometric sequence = ar^n-1
Where,
a = first term
r = common ratio
n = number of terms
Given:
100, 80, 64,...
a = 100
r= 80/100
= 4/5
30th term of a geometric sequence = ar^30-1
= ar^29
= 100 × (4/5)^29
= 100 × (0.8)^29
= 100 × 0.00155
= 0.155
Therefore,
30th term of the geometric progression = 0.155
