40 flights if you're asking how many flights happen in 1 hour.
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
Option 1 is correct. The point T is the number of books and their cost where the subscription with the annual fee costs less.
<h3>How to find the point T.</h3>
At y1 = 96
y2 = 30
The service charge is said to be 3 dollar
We have that y1 is less than y2. This is because 30 is less than 92.
From this we have to conclude that it is the first option. This is because 3 dollars would be charged or less than that.
<h3>Complete question</h3>
Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed dollar annual fee and the other which charges dollars per book he borrows. Here's a graph that shows a system of equations for this scenario where is the number of books Aaden borrows and y is the total cost of the subscription. ks) What does point T represent in this ? Choose 1 answer:
A number of books and their cost where the subscription with the annual fee costs less
A number of books and their cost where the subscription that charges per book costs less of
Read more on subscription fees here:
brainly.com/question/1503197
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a )
First of all we need to find the value of x ,
because the angles are written in terms of the variable x .
______________________________________
<h2>Let's find the value of
x :</h2>
STV angle & SUV angle have same measure because both of them are the front angle of SV arc .
So :
Add sides 5
Subtract sides minus 2x
Collect like terms
Thus the measure of angle T equals :
Now just need to put the value of x which we found :
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b )
angle S & angle V are also have same measure because they both are the front angles to the TU arc .
And we need to find the value of x again in this part exactly like we did for a .
As the question told :
and ,
Thus :
Subtract sides minus x
Collect like terms
Divide sides by 2
Simplification
So ;
And we're done.