Answer:
Part 1) ![a=1](https://tex.z-dn.net/?f=a%3D1)
Part 2) ![b=1/16](https://tex.z-dn.net/?f=b%3D1%2F16)
Part 3)
Part 4)
Part 5) ![e=\frac{4}{9}](https://tex.z-dn.net/?f=e%3D%5Cfrac%7B4%7D%7B9%7D)
Part 6) ![f=\frac{16}{81}](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B16%7D%7B81%7D)
Step-by-step explanation:
we know that
The function in the orange table is equal to
![f(x)=4^{-x}=1/(4^{x})](https://tex.z-dn.net/?f=f%28x%29%3D4%5E%7B-x%7D%3D1%2F%284%5E%7Bx%7D%29)
so
step 1
Find the value of a
The value of a is the value of the function f(x) for ![x=0](https://tex.z-dn.net/?f=x%3D0)
Substitute the value of
in the function
![f(0)=1/(4^{0})=1](https://tex.z-dn.net/?f=f%280%29%3D1%2F%284%5E%7B0%7D%29%3D1)
therefore
![a=1](https://tex.z-dn.net/?f=a%3D1)
step 2
Find the value of b
The value of b is the value of the function f(x) for ![x=2](https://tex.z-dn.net/?f=x%3D2)
Substitute the value of
in the function
![f(2)=1/(4^{2})=1/16](https://tex.z-dn.net/?f=f%282%29%3D1%2F%284%5E%7B2%7D%29%3D1%2F16)
therefore
![b=1/16](https://tex.z-dn.net/?f=b%3D1%2F16)
step 3
Find the value of c
The value of a is the value of the function f(x) for ![x=4](https://tex.z-dn.net/?f=x%3D4)
Substitute the value of
in the function
![f(4)=1/(4^{4})=1/256](https://tex.z-dn.net/?f=f%284%29%3D1%2F%284%5E%7B4%7D%29%3D1%2F256)
therefore
![c=1/256](https://tex.z-dn.net/?f=c%3D1%2F256)
The function in the blue table is equal to
![g(x)=(\frac{2}{3})^{x}](https://tex.z-dn.net/?f=g%28x%29%3D%28%5Cfrac%7B2%7D%7B3%7D%29%5E%7Bx%7D)
so
step 4
Find the value of d
The value of d is the value of the function g(x) for ![x=0](https://tex.z-dn.net/?f=x%3D0)
Substitute the value of
in the function
![g(0)=(\frac{2}{3})^{0}=1](https://tex.z-dn.net/?f=g%280%29%3D%28%5Cfrac%7B2%7D%7B3%7D%29%5E%7B0%7D%3D1)
therefore
![d=1](https://tex.z-dn.net/?f=d%3D1)
step 5
Find the value of e
The value of e is the value of the function g(x) for ![x=2](https://tex.z-dn.net/?f=x%3D2)
Substitute the value of
in the function
![g(2)=(\frac{2}{3})^{2}=\frac{4}{9}](https://tex.z-dn.net/?f=g%282%29%3D%28%5Cfrac%7B2%7D%7B3%7D%29%5E%7B2%7D%3D%5Cfrac%7B4%7D%7B9%7D)
therefore
![e=\frac{4}{9}](https://tex.z-dn.net/?f=e%3D%5Cfrac%7B4%7D%7B9%7D)
step 6
Find the value of f
The value of f is the value of the function g(x) for ![x=4](https://tex.z-dn.net/?f=x%3D4)
Substitute the value of
in the function
![g(4)=(\frac{2}{3})^{4}=\frac{16}{81}](https://tex.z-dn.net/?f=g%284%29%3D%28%5Cfrac%7B2%7D%7B3%7D%29%5E%7B4%7D%3D%5Cfrac%7B16%7D%7B81%7D)
therefore
![f=\frac{16}{81}](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B16%7D%7B81%7D)
You will need 3quartz
step by step:
98+52=150
200÷4=50
150÷50=3
so the answer is 3
Answer:
<h2>Fraction => 3/10 </h2>
<h3>hope that helps ✌</h3>
Answer:
the answer is 156 meters
Maybe can u give me brainliest?