Answer:
40 milimeters
Step-by-step explanation:
8*5=40
Answer:
![8,101\ bears](https://tex.z-dn.net/?f=8%2C101%5C%20bears)
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
![y=a(b)^{x}](https://tex.z-dn.net/?f=y%3Da%28b%29%5E%7Bx%7D)
where
x ----> is the number of years since 2009
y ----> is the population of bears
a ----> is the initial value
b ---> is the base
step 1
Find the value of a
For x=0 (year 2009)
y=1,570 bears
substitute
![1.570=a(b)^{0}](https://tex.z-dn.net/?f=1.570%3Da%28b%29%5E%7B0%7D)
![a=1.570\ bears](https://tex.z-dn.net/?f=a%3D1.570%5C%20bears)
so
![y=1.570(b)^{x}](https://tex.z-dn.net/?f=y%3D1.570%28b%29%5E%7Bx%7D)
step 2
Find the value of b
For x=1 (year 2010)
y=1,884 bears
substitute
![1,884=1.570(b)^{1}](https://tex.z-dn.net/?f=1%2C884%3D1.570%28b%29%5E%7B1%7D)
![b=1,884/1.570](https://tex.z-dn.net/?f=b%3D1%2C884%2F1.570)
![b=1.2](https://tex.z-dn.net/?f=b%3D1.2)
The exponential function is equal to
![y=1.570(1.2)^{x}](https://tex.z-dn.net/?f=y%3D1.570%281.2%29%5E%7Bx%7D)
step 3
How many bears will there be in 2018?
2018-2009=9 years
so
For x=9 years
substitute in the equation
![y=1.570(1.2)^{9}](https://tex.z-dn.net/?f=y%3D1.570%281.2%29%5E%7B9%7D)
![y=8,101\ bears](https://tex.z-dn.net/?f=y%3D8%2C101%5C%20bears)
Answer:
![y=18](https://tex.z-dn.net/?f=y%3D18)
Step-by-step explanation:
we have
![\frac{1}{3}(y-9)=3](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%28y-9%29%3D3)
Multiply by
both sides
![3*(\frac{1}{3}(y-9))=3*3](https://tex.z-dn.net/?f=3%2A%28%5Cfrac%7B1%7D%7B3%7D%28y-9%29%29%3D3%2A3)
![(y-9)=9](https://tex.z-dn.net/?f=%28y-9%29%3D9)
Adds
both sides
![(y-9)+9=9+9](https://tex.z-dn.net/?f=%28y-9%29%2B9%3D9%2B9)
![y=18](https://tex.z-dn.net/?f=y%3D18)
The pyramid has 4 faces. Each face is a triangle with a base of 12 and a height of 7. The area of any triangle is half of the product (base)x(height). If you also want to include the area of the pyramid's base, that's a square with sides of 12, and the area of a square is the square of the length of a side.