Answer:
10-x ft long
Step-by-step explanation:
If it starts out 10ft long, and xft is taken away, then the remaining board would be 10-x ft long.
In terms of x, I believe it would just be 10-x ft long
Answer: 11 2/15
Explanation: (3+7) (1/3+4/5)
10 + 17/15
10 + 1 2/15
11 2/15
Answer:
w > 2
Step-by-step explanation:
I hope this helps.... :)
Answer:
Number of terms: n=6
Step-by-step explanation:
We are given:
a₁ = 0.75
r = 4
Sₙ = 1023.75
We need to find number of terms i.e n
The formula used will be:![S_n=\frac{a(r^n-1)}{r-1}](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba%28r%5En-1%29%7D%7Br-1%7D)
Putting values and fining n
![S_n=\frac{a(r^n-1)}{r-1}\\1023.75=\frac{0.75(4^n-1)}{4-1}\\ 1023.75=\frac{0.75(4^n-1)}{3}\\3\times 1023.75=0.75(4^n-1)\\3071.25=0.75(4^n-1)\\4^n-1=\frac{3071.25}{0.75}\\4^n-1=4095\\4^n=4095+1\\4^n=4096](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba%28r%5En-1%29%7D%7Br-1%7D%5C%5C1023.75%3D%5Cfrac%7B0.75%284%5En-1%29%7D%7B4-1%7D%5C%5C%201023.75%3D%5Cfrac%7B0.75%284%5En-1%29%7D%7B3%7D%5C%5C3%5Ctimes%201023.75%3D0.75%284%5En-1%29%5C%5C3071.25%3D0.75%284%5En-1%29%5C%5C4%5En-1%3D%5Cfrac%7B3071.25%7D%7B0.75%7D%5C%5C4%5En-1%3D4095%5C%5C4%5En%3D4095%2B1%5C%5C4%5En%3D4096)
We know that ![4^6= 4096](https://tex.z-dn.net/?f=4%5E6%3D%204096)
![4^n=4^6](https://tex.z-dn.net/?f=4%5En%3D4%5E6)
Using Exponent rule: ![a^n=a^b => n=b](https://tex.z-dn.net/?f=a%5En%3Da%5Eb%20%3D%3E%20n%3Db)
![n=6](https://tex.z-dn.net/?f=n%3D6)
So, Number of terms: n=6