Answer:
324 km²
Step-by-step explanation:
The prism shown is a square pyramid
The volume of a square pyramid can be calculated by using this formula
![V=lw\frac{h}{3}](https://tex.z-dn.net/?f=V%3Dlw%5Cfrac%7Bh%7D%7B3%7D)
where l = length of base, w = width of base and h = height
We are given the following dimensions...
length of base = 9 km
width of base = 9 km
height = 12 km
To find the volume of the pyramid, we plug in these given values into the formula
Hence,
![V = 9 * 9* \frac{12}{3} \\\frac{12}{3} =4\\V = 9*9*4\\9*9=81\\81*4=324\\](https://tex.z-dn.net/?f=V%20%3D%209%20%2A%209%2A%20%5Cfrac%7B12%7D%7B3%7D%20%5C%5C%5Cfrac%7B12%7D%7B3%7D%20%3D4%5C%5CV%20%3D%209%2A9%2A4%5C%5C9%2A9%3D81%5C%5C81%2A4%3D324%5C%5C)
V = 324
(-6)-(+8)-(-12)
-6-8+12
-14+12
-2
Answer:
4 dimes i think and 5.25 worth of quarters
Step-by-step explanation:
Answer: ![f(x) =3^{-x}-4](https://tex.z-dn.net/?f=f%28x%29%20%3D3%5E%7B-x%7D-4)
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If
, the function is translated up "k" units.
If
, the function is translated down "k" units.
If
, the function is reflected across the x-axis.
If
, the function is reflected across the y-axis.
Therefore, knowing those transformations and given the exponential parent function:
![f(x) = 3^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%203%5Ex)
If it is reflected across the y-axis and the it is translated down 4 units, we can determine that the resulting function is:
![f(x) =3^{-x}-4](https://tex.z-dn.net/?f=f%28x%29%20%3D3%5E%7B-x%7D-4)
The functions shows in the data table is an exponential function.