All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for 
:
Then as gets arbitrarily large, the term 
will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Hello,
A:
2x²-7x-4=0
==>2x²-8x+x-4=0
==>2x(x-4)+1(x-4)=0
==>(x-4)(2x+1)=0
==>(x=4) or (x=-1/2)
B: where is the sign "=" !!!!!!!!!!!!!!!!!!
81x^-1=(9x²+1)(3x+1)(3x-1) I can not go any further.
C)
2x²-32=0
==>x²-16=0
==>(x+4)(x-4)0
==>x=-4 or x=4
D:
where is the sign "="!!!!!!!!!!!!!!!!!!!!!!!!
x^2-7x+12=(x-4)(x-3) but I can not go ant further....
Answer: The correct answer is 10 piranhas.
Step-by-step explanation:
To calculate the total Volume of a cylinder we have to use the following formula:
Volume = Area * Height
Area = π * r² , where r= radius
The diameter is always the twice the radius so the diameter is 4 feet in this case and the radius is 2 feet so the area is
Area= 3.1416 * (2*2)
Area = 3.1416 * 4
Area = 12.5664 square feet
Volume = 12.5664 (area) * 1.25 (height).
Volume = 15.708 cubic feet
Each piranha needs 1.5 cubic feet so we have to divide the total Volume by the volume that each piranha needs
15.708/ 1.5 = 10.472 or ten pirahnas because we can't put a fraction of a piranha in the tank.
Answer:
MEH
Step-by-step explanation:
THE DEMON WILL BE UN AMERICAN IN ORDER FOR A ICE BALL AND THE OTHER IS A SIMP OF A BAT OR SOMETHING THAT IS NOT A GOOD SHOE OR SOMETHING LIKE THIS ONE THAT HAS BEEN TRYING FOR THE PAST THREE YEARS OF THE HW ERA AND THE ONLY ONE I HAVE SOMETHING THAT IS NOT THAT MUCH YOUR JUST BROKE
I'm not sure if this is right
py+qy=-4+8
y(p+q)=-4y+8
5y(p+q)=8
5y=8/p+q
