First all, the decay formula is
where:
is the remaining quantity after
years
is the initial sample
is the time in years
is the decay constant
From the problem we know that
and
, but we don't have the time
; to find it we will take advantage of the half-life of the Carbon-14. If you have a sample of 100 mg and Carbon-14 has a half-life of 5730, after 5730 years you will have half of your original sample i.e. 50 mg. We also know that after
years we have a remaining sample of 33mg, so the amount of the sample that decayed is
. Knowing all of this we can set up a rule 3 and solve it to find
:
Now that we know our time
lets replace all the values into our decay formula:
Notice that the constant
we need to find is the exponent; we must use logarithms to bring it down, but first lets isolate the exponential expression:
We can conclude that the decay constant
is approximately -0.000144
Answer:
the graph is in the attachment.
the coordinates of the centroid : (2/3,2/3)
Step-by-step explanation:
- y=0 represents x-axis ( you can easily mark it on the graph)
- now draw x=1 line.( It is a line parallel to y axis and passing through the point (1,0) )
- y=2x is a line which passes through origin and has a slope "2"
by using these sketch the region.
I have uploaded the region bounded in the attachment. You may refer it. The region shaded with grey is the required region.
it can be easily identified that the formed region is a triangle
- the coordinates of three vertices of the triangle are
(1,2) , (0,0) , (1,0)
( See the graph. the three intersection points of the lines are the three vertices of the triangle)
- for general FORMULA, let the coordinates of three vertices of a triangle PQR be P(a,b) , Q(c,d) , R(e,f)
- then the coordinates of the centroid( let say , G) of the triangle is given by
G =
- therefore , the exact coordinates of the centroid =
this point is marked as G in the graph uploaded.
Answer:
its pi just multiply the sun designs
Step-by-step explanation: if more info needed just reply to this
Step-by-step explanation:
C. yes sure qamar would have a lacquer to cover it .
D. justice League of the mathematical model..
E.she needs about 45ft
Answer:
Step-by-step explanation:
Since, x-coordinate is negative and y-coordinate is positive, point will lie in the 2nd quadrant.
Answer is point P.
(-3, 6)
Point L represents the given coordinates.
Point P represents the given coordinates.
Since, x and y coordinates are positive, point will lie in the 1st quadrant.
Point Q represents the given coordinates.
Since, both x and y coordinates are negative, point will lie in the 3rd coordinate.
Point R represents the given coordinates.