Answer:
8
Step-by-step explanation:
Answer:
The rhinoceros iguana, which lives on the island of Hispaniola, lays up to 20 eggs in a burrow.
Step-by-step explanation:
The nth term of the geometric sequence is:
an=ar^(n-1)
where
a=first term
r=common ratio
n=nth term
from the question:
120=ar(3-1)
120=ar^2
a=120/(r^2)....i
also:
76.8=ar^(5-1)
76.8=ar^4
a=76.8/r^4.....i
thus from i and ii
120/r^2=76.8/r^4
from above we can have:
120=76.8/r²
120r²=76.8
r²=76.8/120
r²=0.64
r=√0.64
r=0.8
hence:
a=120/(0.64)=187.5
therefore the formula for the series will be:
an=187.5r^0.8
Answer:
the domain of the function = [0,12]
Step-by-step explanation:
Given that:
f(t) = 60 t - 5t²
at time t = 0
f(0) = 60 (0) - 5(0)²
f(0) = 0
the differential of f(t) is:
f(t)' = 60 - 10t
for the maximum height
f'(t) = 0
i,e
60 - 10t = 0
60 = 10t
t = 60/10
t = 6
Now, t = 6,
f(6) = 60(6) - 5(6)²
f(6) = 360 - 180
f(6) = 180
Hence, after 6 seconds, the stone is noticed to have raise to 180 m and 180 m drop after 6 seconds.
Hence, the domain of the function = [0,12]
Answer:
108
Step-by-step explanation:
