<h3>
Answer: 542.5</h3>
This is equivalent to the fraction 1085/2
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Explanation:
AP stands for "arithmetic progression", which is another name for "arithmetic sequence"
a1 = -10 is the first term
the 15th term happens when n = 15, so
an = a1 + d*(n-1)
a15 = -10 + d(15-1)
a15 = 14d-10
Set this equal to 11 (the stated 15th term) and solve for d
a15 = 11
14d-10 = 11
14d = 11+10
14d = 21
d = 21/14
d = 3/2
d = 1.5 is the common difference
Let's find the nth term
an = a1 + d(n-1)
an = -10 + 1.5(n-1)
an = -10 + 1.5n - 1.5
an = 1.5n - 11.5
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The last term is 41, so we'll replace the 'an' with that and solve for n
an = 1.5n - 11.5
41 = 1.5n - 11.5
41+11.5 = 1.5n
52.5 = 1.5n
1.5n = 52.5
n = (52.5)/(1.5)
n = 35
So the 35th term is 41.
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We're summing n = 35 terms from a1 = -10 to an = 41
S = sum of the first n terms of arithmetic progression
S = (n/2)*(a1 + an)
S = (35/2)*(-10+41)
S = 542.5
The 35 terms add up to 542.5 which is the final answer
As an improper fraction, this converts to 1085/2
We know that
when we start exercise our hear beats starts increasing gradually
because blood flowing rate becomes higher
and it keeps increasing upto a certain limit
because for normal human beings maximum heart rate is 135 beats per minute
and it remains constant there for few minutes
and as we slow down slowly
It will start decreasing gradually and then becomes normal
we can see the graph
so,
The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes..........Answer
A median of a triangle is a segment that joins a vertex to the midpoint of the opposite side.
The centroid of a triangle is the point where all medians intersect.
That makes segments AE, CD and BF medians of triangle ABC.
The only median in the choices is CD.
Answer: B) Segment CD
The GCF for the numbers 9,6,2 is 1. Since there are no variables in common the answer is just 1.
Answer: a) $778.67 b) 19 years
Step-by-step explanation:
The formula you would use is
where a is the amount
n is the length of time
P is the principle
and r is the rate in decimal form
a)
b)
put your initial equation into a graphing calculator and use the table function to find that after 18 years it is worth 117 and in 19 years 86-
