Answer:
S(t) = 600*0.9^t
Step-by-step explanation:
At the beginning (t = 0) the sample has 600 grams. After 1 millennium from today (t = 1) the mass will be: 600 - 600*0.1 = 600*0.9. After 2 millennium from today (t = 2) the mass will be the 90% of the mass in the previous millenium, that is: 600*0.9*0.9 = 600*0.9^2. Analogously, at time = 3, sample's mass will be: 600*0.9^2*0.9 = 600*0.9^3. In a table format, that is
t m
0 600
1 600 - 600*0.1 = 600*0.9
2 600*0.9*0.9 = 600*0.9^2
3 600*0.9^2*0.9 = 600*0.9^3
Therefore, sample's mass in grams, S(t), where t refers to millennia from today is computed as follows: S(t) = 600*0.9^t
126,773,792,413,402 days
887,416,546,893,814 weeks
5.324499281363e16 seconds
4,225,793,080,446.733 months
Answer:
x=37 CD=20
Step-by-step explanation:
We know this becuase the two triangles are congruent.
Answer:
Step-by-step explanation:
Step 1: Flip the equation.
Step 2: Subtract D from both sides.
Step 3: Divide both sides by Dr.
Answer:
Step-by-step explanation:
The standard vertex form of a quadratic (which is what your graphs are) is
where h and are the coordinates of the vertex. The vertex is really all we need to fill in this equation. Looking at the blue graph, the vertex is located at (-4, 1), so h = -4 and k = 1. Filling in the equation:
which simplifies down to
. It's that simple.I think that's choice C (I'm not sure; it's very tiny!)
