4. To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets to bytes of information is given by
b = 1,500p where p represents the number of packets and b represents the number of bytes of
information.
B. how much information can be transmitted in 30,000 packets

Mining away

I don't know what to mine

I'll mine this anyway

In this minecraft day

So beautiful

And further down

What's that I found?

Mine diamonds (take on me)

Mine diamonds (take on me)

I'll mine them

So far I've got two

Too easy to mine

With my minecraft pickaxe

And shovels

Hopefully they stay In my minecraft chests

So I'm gonna make

A lock on it

Mine diamonds (take on me)

Mine diamonds (take on me)

I mine them

So far I've got two

I'm alright,

I'm not ready

All these diamonds

Sitting carefully lay

I'm getting worried

If they might get stolen

From my ender chest

Wait, who is that?

Holy sheep, it's Notch

Mine diamonds (take on me)

Mine diamonds (take on me)

Now they're safe Now, now

Mine diamonds (Take on me)

Now that they're safe, now

Mine diamonds (take on me

Step-by-step explanation:

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!