Answer:
c
Step-by-step explanation:
Answer:
t = 6162 years
Step-by-step explanation:
This equation takes the form of
We are given everything but the amount of C-14 at time t = 0. But we can figure it out from the info we ARE given. We are told that when the spear head is found it contains 54% of its original amount of C-14. Notice we are dealing in percents. If 54% remains when it is found, it started out with 100% of its amount. That's our N value. Filling in:
Our goal is to get that t down from the exponential position that it is currently in. To do that we will need to eventually take the natural log of both sides, because ln's and e's "undo" each other, much like squaring "undoes" a square, or dividing "undoes" multiplication. So we take the natural log of both sides. On the right side, notice that when we take the natural log, the e disappears; it's "undone", gone. Before that, though, we will simplify by dividing both sides by 54. 100/54 = 1.851851852. So, altogether...
Simplifying by plugging the log of that number into our calculator, we get
.6161861395 = .0001t and
t = 6161.8613
Rounding to the nearest year, t = 6162 years
The angle of depression from the bird to the observer is 41.81°
<h3 />
<h3>Angle of depression</h3>
The angle of depression can be calculated using trigonometric ratios. The situation forms a right angle triangle. A right angle triangle has opposite , adjacent and hypotenuse side.
Using trigonometric ratio,
- sin B = opposite / hypotenuse
Therefore,
sin B = 6000 / 9000
sin B = 0.66666666666
B = sin⁻¹ 0.666666
B = 41.8103143833
B ≈ 41. 81°
learn more on angle of depression here: brainly.com/question/24600261?referrer=searchResults
I think that You add all the ages and then divide by how many people you have so
100:10 = 10 is the mean age I guess?
Answer:
f(-2) = 1
Step-by-step explanation:
Simply plug in -2 for <em>x</em> in our given function:
f(-2) = (-2 - 3)/(2(-2) - 1)
f(-2) = -5/(-4 - 1)
f(-2) = -5/(-5)
f(-2) = 1