The formula of an arithmetic sequence is the following :
A geometric sequence is in the form:
A geometric sequence is in the form:
R is between q and s. if rs=47 and qs =83.8 find qr
1 answer:
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Answer:
Speed of the current is 3 miles per hour.
Step-by-step explanation:
Raft and a motor boat starts traveling downstream at the same time from point B towards point A downstream.
Let the speed of the motorboat = v miles per hour
and speed of the current = u miles per hour
Motorboat travels downstream with the speed = (v + u) miles per hour
Distance traveled by motorboat in 1 hour (Distance AC) = (v + u)×1 miles
Now motorboat turns around and reaches point B where it meats the raft against the river stream.
Speed of motorboat against the current = (v - u) miles per hour
Let it takes to reach at point B = t hours
Distance covered AB = (v - u)t miles
From the figure attached,
Distance BC = AC - AB
6 = (v + u) - (v - u)t ------(1)
Now raft covered the distance 6 miles in (1 + t) hours with the speed = u miles per hour.
Equation will be u(t + 1) = 6 --------(2)
Now by equating both the equations
(v + u) - (v - u)t = u(t + 1)
v + u - vt + ut = ut + u
v - vt = 0
vt = v
t = 1 hours
From equation (2)
u(1 + 1) = 6
2u = 6
u = 3 miles per hour.
Therefore, speed of the current will be 3 miles per hour.
By the chain rule,
When
, the derivative has a value of
When
Answer:
10 hours.
Step-by-step explanation:
Two bicyclists are 200 miles apart when they start racing towards one another.
Their speeds are 12 mph and 6 mph respectively.
Distance = speed × time
Let the time taken by bicyclists = t
We have to calculate the time when they 20 miles apart this means they have covered the distance of 200 - 20 = 180 miles
t(12mph) + t(6mph) = 180
18t = 180
t =
t = 10 hours
It will take 10 hours to both the bicyclists before they are 20 miles apart.