An=a1r^(n-1)
given
a5=1/24
a10=1/768
we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)
so
1/24=a1r^4
1/768=a1r^9
(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32
r^5=1/32
take 5th root of both sides
r=1/2
we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3
the first term is 2/3
Answer:
<em>No </em><em>9</em><em>7</em><em> </em><em>is </em><em>not </em><em>an </em><em>irrational </em><em>number </em>
Step-by-step explanation:
Be happy
17/30 or .56 is your correct answer
9514 1404 393
Answer:
The pool is being filled
Step-by-step explanation:
The function definition tells you ...
f(5) = the volume of water in the pool 5 minutes after they start
f(10) = the volume of water in the pool 10 minutes after they start
So, the inequality ...
f(5) < f(10)
means the volume of water in the pool 10 minutes after they start is greater than it is 5 minutes after they start. In short, <em>they are filling the pool</em>.
<span>-4(x-2)-5(y+2)+(-3)(8-6b)
= -4x + 8 - 5y - 10 - 24 + 18b
= -4x -5y + 18b - 26
hope it helps</span>