Answer:
Step-by-step explanation:
Should we be finding mark's years first?
So the first thing you do is you divide 1024 by 256. you will come out with the answer of 4. it takes 4 seconds to download 1 megabyte. but, it takes 4 megabytes, so you need to multiply 4 by 4. you will get 16. it takes 16 seconds to download 1 song.
to figure out how many songs Lindy can download in 2 hours, you multiply 60 by 60. you will get an answer of 3600. there are 3,600 seconds in an hour. now to find out how many are in 2 hours you multiply 3,600 by 2. you will get a sum of 7,200
now to figure out how many songs Lindy can download in 2 hours, you divide 7,200 by 16. you will come out with a quotient of 450.
Lindy can download a total of 450 songs in the space of 2 hours.
The function is k(x) = 512 · x .
Try 'A': k(2/3) = (512) · (2/3) = 341.33... not 64
Try 'B': k(4/9) = (512) · (4/9) = 257.55... not 16
Try 'C': k(1/3) = (512) · (1/3) = 170.66... not 8
Try 'D': k(2/9) = (512) (2/9) = 113.77... not 8 .
So far, it looks like NONE of the choices is correct.
But wait ! There's more !
What if the actual function is k(x) = 512ˣ
that is, 512 raised to the 'x' power ?
That would be a horse of a different cruller.
Let's try THAT out.
First, here are two facts that we'll need:
==> 512 ^ 1/3 = 8
and
==> 512 ^ 1/9 = 2 .
OK. NOW ...
Try 'A': k(2/3) = (512) ^ 2/3 = 8^2 = 64 yes !
Try 'B': k(4/9) = (512) ^ 4/9 = 2^4 = 16 yes !
Try 'C': k(1/3) = (512) ^ 1/3 = 8 yes !
Try 'D': k(2/9) = (512) ^ 2/9 = 2^2 = 4 not 8 .
So here's what we have learned:
-- The function in the question is actually k(x) = 512 ^ x
-- Choice-D is the incorrect one.
Answer:
<h2>
301.593</h2><h2>
</h2>
Step-by-step explanation:
surface area of a cylinder = 2πrh + 2πr²
where: r = 4 km radius
h = 8 km
plugin values into the formula
surface area of a cylinder = 2πrh + 2πr²
= 2 π (4) 8 + 2 π (4)²
= 201.062 + 100.531
= 301.593 km²