(1/A) dA/dt= C where A is the population of ants and C is a constant
ln(A) = C*t + C1 where C1 is another constant that comes out of integration and t is time in days.
Plugging in: at t=0, A= 100 so C1 = ln(100) = 4.605
at t=3, A=230 so ln(230) = 3*C +4.605 so C = 0.278
Final equation:
ln(A) = 0.278t + 4.605
or:
A = exp(0.278t + 4.605)
After 14 days, A = exp(0.278*14 + 4.605) = 4875.2
The correct answer should be A) because the adjectives are water and ice and they're describing the glass.
Answer:
W
Step-by-step explanation:
W is the vertex, you can see the letter above the angle
Answer:
12
Step-by-step explanation:
These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.
Side AR and Side TE are corresponding. Use this proportion.
![\frac{6}{8}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B6%7D%7B8%7D%20)
This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.
We know that RS+ST=21
And that RS=3/4(ST).
![\frac{3}{4} x + x = 21](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20x%20%2B%20x%20%3D%2021)
![1.75x = 21](https://tex.z-dn.net/?f=1.75x%20%3D%2021)
x=12.
Side ST is 12