Answer:
They are right, the time calculated using the exponential decay equation is 1948.6 years.
Step-by-step explanation:
The time can be calculated using the exponential decay equation:
(1)
<u>Where</u>:
N(t): is the quantity of C-14 at time t
N₀: is the initial quantity of C-14
λ: is the decay constant
The decay constant is:
(2)
By entering equation (2) into (1) and solving for t, we have:
Therefore, the time of the scrolls estimated by the archeologists is right, since the time calculated using the exponential decay equation is 1948.6 years.
I hope it helps you!
Distance from P to the x-axis = 2x distance from P to the yz-plane
<span>Distance to the x-axis of a point P=(x,y,z) is (y^2+z^2)^1/2 </span>
<span>Distance to the yz-plane of a point P=(x,y,z) is x </span>
<span>So your equation is: </span>
<span>(y^2+z^2)^1/2 = 2x </span>
<span>=> y^2 + z^2 = 4x^2 </span>
<span>=> y^2 + z^2 - 4x^2 = 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
Answer:
(x - 5)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (5, - 3) and r = 4, thus
(x - 5)² + (y - (- 3))² = 4², that is
(x - 5)² + (y + 3)² = 16 ← equation of circle
Answer: I know 12 is right
Step-by-step explanation:
Answers:
===================================================
Explanation:
Part (a)
Lines LN and PN have the point N in common. This is the intersection point.
-----------------
Part (b)
To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.
I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.
------------------
Part (c)
Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K
------------------
Part (d)
Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.
We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.
Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.
