Answer:
Domain (-infinity, infinity)
Range (-infinity, infinity)
26/3 (improper fraction) 8.667
Answer:
2
Step-by-step explanation:
What is so special about the centroid? It is the distinct point that each of the three medians intersect. Therefore, from this definition we can figure out through some geometric proof (I'm not going to go into this) the following:
If you draw the medians, you will notice that they intersect at exactly one point. That is the centroid. You will also notice that the centroid splits the median into 2 parts: top and bottom. The proof suggests that the top part is 2 times the bottom part.
In this case, the centroid is D and the top point is B. Therefore, we can figure out that BD, the top part, must be 2 times the bottom part, which is BE. Thus, we determine that BE is 2 because 4/2 = 2.
I would encourage you to draw it out so you can understand. Unfortunately, typing may not work all the time
Answer:
18
Step-by-step explanation:
2(18)=36
because the angles are equal
Answer:
Step-by-step explanation:
The formula you will need for this is:
where A is the amount after some decay has happened, A₀ is the intial amount, t is the time in hours, and H is the half-life in hours. Those values for us are:
A = 2 g
A₀ = 25 g
H = 4.95 hrs and
t = ?
Filling in:
Keep in mind that, because of the nature of the exponential form of this equation, you CANNOT simply multiply the 25 by the 1/2. Exponential equations don't work that way. Begin instead by dividing both sides by 25 to get
The goal is to get that t out from its exponential position. Do that by taking the natural log of both sides:
After you take the natural log of the right side, the property allows you to bring the exponent down out front:
Now divide both sides by ln(.5) to get
Simplify the left side out on your calculator to get
and then divide:
Finally, multiply both sides by 4.95 to get
3.643856(4.95) = t so
t = 18.0 hours which is choice C
