Answer:
2t+5
Step-by-step explanation:
Answer:
0.4032258
Step-by-step explanation:
Answer:
5/4
Step-by-step explanation:
Make a proportion:
16/4 = 5/x
Cross Multiply:
20 = 16x
x = 5/4
Answer:
Option D) 47.25 in
Step-by-step explanation:
we know that
The equation of a exponential decay function is equal to
![y=a(1-r)^x](https://tex.z-dn.net/?f=y%3Da%281-r%29%5Ex)
where
y is the total length
x is the number of pieces of ribbon
a is the initial value
r is the rate of change
we have
![a=24\ in\\r=50\%=50/100=0.50](https://tex.z-dn.net/?f=a%3D24%5C%20in%5C%5Cr%3D50%5C%25%3D50%2F100%3D0.50)
substitute
![y=24(1-0.50)^x](https://tex.z-dn.net/?f=y%3D24%281-0.50%29%5Ex)
![y=24(0.50)^x](https://tex.z-dn.net/?f=y%3D24%280.50%29%5Ex)
we have that
For x=0 ----->![y=24\ in](https://tex.z-dn.net/?f=y%3D24%5C%20in)
For x=1 ----> ![y=24(0.50)^1=12\ in](https://tex.z-dn.net/?f=y%3D24%280.50%29%5E1%3D12%5C%20in)
For x=2 ----> ![y=24(0.50)^2=6\ in](https://tex.z-dn.net/?f=y%3D24%280.50%29%5E2%3D6%5C%20in)
For x=3 ---->![y=24(0.50)^3=3\ in](https://tex.z-dn.net/?f=y%3D24%280.50%29%5E3%3D3%5C%20in)
For x=4 ----> ![y=24(0.50)^4=1.5\ in](https://tex.z-dn.net/?f=y%3D24%280.50%29%5E4%3D1.5%5C%20in)
For x=5 ----> ![y=24(0.50)^5=0.75\ in](https://tex.z-dn.net/?f=y%3D24%280.50%29%5E5%3D0.75%5C%20in)
Adds the length of the first 6 pieces of ribbon
![24+12+6+3+1.5+0.75=47.25\ in](https://tex.z-dn.net/?f=24%2B12%2B6%2B3%2B1.5%2B0.75%3D47.25%5C%20in)
Answer:
Checking each term: 5xy2 has a degree of 3 (x has an exponent of 1, y has 2, and 1+2=3) 3x has a degree of 1 (x has an exponent of 1) 5y3 has a degree of 3 (y has an exponent of 3)