Hello from MrBillDoesMath!
Answer:
Choice B.
Discussion:
From the first step
324 x^6 y^ 8 =
2^2 * 3^4 * x^2 * x^4* y^8
so the fourth root of this is
2 ^(2/4)* 3^(4/4) x^(2/4)* x^(4/4)*y^(8/4) =
2^ (1/2) * 3^1 * x^(1/2) * x^(1)* y^ (2) =
(2x)^(1/2) * 3 * x * y^2 =
3 * x * y^2 * sqrt(2x) =
3 * x * y^2 * ( (2x)^2) ^ (1/4)) =
3 * x * y^2 * (4x^2) ^ (1/4)
which is choice B
Thank you,
MrB
It diverges; it does not have a sum. the sum of a geometric series is given by a /(1-r) where a is the first term and the r is the ratio between the terms. r=3 in the series you have given . The absolute value of r must be less then 1 for a geometric series to converge.
190 runners would not have finished the race.
If you add up all the waves, there were 952 total runners.
If 7/8 finished the race, then that means that 1/8 did not finish the race.
Just multiply 1/8 by 952 to get the amount that did not finish.
It would be 190.
Step-by-step explanation:
The answer is B.
Answer:
2
Step-by-step explanation:
This implies
x+2=4
and
-(x+2)=-4.
x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.
Solving -(x+2)=-4 should give us the same value.
Multiply both sides by -1:
x+2=4
It is the same equation as the other.
You will get x=2 either way.
Let's check:
Put both sides into your calculator and see if you get the same thing on both sides:
Left hand side gives 256/81.
Right hand side gives 256/81.
Both side are indeed the same for x=2.
