Answer:
2.7 lb
Step-by-step explanation:
2x1.08=2.16
1/2x1.08=0.54
2.16
+ <u>0.54</u>
2.70
2.70 = 2.7
I’m not sure blocked from what
Hello from MrBillDoesMath!
Answer: 2 ^ -4 ( = 1/16)
Discussion:
- 4 log {8} 2 {8} is used instead of subscript notation
Basic property of logarithms is that exponents become multipliers and vice versa:
-4 log {8} 2 = log {8} (2^ -4)
Thank you,
MrB
If you write
![y=x^{1/3}](https://tex.z-dn.net/?f=y%3Dx%5E%7B1%2F3%7D)
, you'll notice this is really just a quadratic equation that can be factorized:
![2x^{2/3}+3x^{1/3}-5=0\iff 2y^2+3y-5=0\iff (2y+5)(y-1)=0\iff(2x^{1/3}+5)(x^{1/3}-1)=0](https://tex.z-dn.net/?f=2x%5E%7B2%2F3%7D%2B3x%5E%7B1%2F3%7D-5%3D0%5Ciff%202y%5E2%2B3y-5%3D0%5Ciff%20%282y%2B5%29%28y-1%29%3D0%5Ciff%282x%5E%7B1%2F3%7D%2B5%29%28x%5E%7B1%2F3%7D-1%29%3D0)
So you have
![2x^{1/3}+5=0\implies 2x^{1/3}=-5\implies x^{1/3}=-\dfrac52\implies x=-\dfrac{125}8](https://tex.z-dn.net/?f=2x%5E%7B1%2F3%7D%2B5%3D0%5Cimplies%202x%5E%7B1%2F3%7D%3D-5%5Cimplies%20x%5E%7B1%2F3%7D%3D-%5Cdfrac52%5Cimplies%20x%3D-%5Cdfrac%7B125%7D8)
and
The ratio for questions number 2 is C aka 3 to 5