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The rate at which his pulse is increasing after 3 minutes is 9.5 beats per minute
<h3>How to determine the beat rate after 3 minutes?</h3>The given graph shows the curve and the tangent.
From tangent line, we have the following points:
(x,y) = (3,119) and (1,100)
The beat rate (m) at this point is:
So, we have:
Evaluate the differences
Evaluate the quotient
m = 9.5
Hence, the rate at which Sam's pulse is increasing after 3 minutes is 9.5 beats per minute
Read more about rates of tangent lines at:
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The ratio of the geometric sequence 40 is 2.
Given that geometric sequence is 40* and we have to find the common ratio of all the terms.
Geometric sequence is a sequence in which all the terms have a common ratio.
Nth termof a GP is a in which a is first term and r is common ratio.
Geometric sequence=40*
We have to first find the first term, second term and third term of a geometric progression.
First term=40*
=40*
=40*1
=40
Second term=40*
=40*
=40*2
=80
Third term=40*
=40*
=40*4
=160
Ratio of first two terms=80/40=2
Ratio of next two terms=160/80=2
Hence the common ratio of geometric sequence is 2.
Learn more about geometric progression at brainly.com/question/12006112
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