The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96.
Answer:
Step-by-step explanation:
g(x) = -2f(x)
Vertical stretch by virtue of the factor 2
Reflection over the x-axis by virtue of the factor -1
Answer:
h(t) = -16t2 + 144
h(1) = -16(12) + 144 = 128 ft
h(2) = -16(22) + 144 = 80 ft
h(2) - h(1) = 80 - 128 = -48 ft
It fell 48 ft between t = 1 and t = 2 seconds.
It reaches the ground when h(t) = 0
0 = -16t2 + 144
t = √(144/16) s = 3s
It reaches the ground 3s after being dropped.
Step-by-step explanation:
Answer:
1400m^2
Step-by-step explanation:
Solution,
Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,
Now,
Perimeter of the rectangle=2(l+b)
150=2(x+5+x)
150=2(2x+5)
150=4x+10
150-10=4x
140=4x
140/4=x
35=x
So, the breadth of the rectangle=35 m
and length=(35+5)m=40m
Again,
Area of the rectangle=l×b
=40m×35m
=1400 m^2
I hope it helped U
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