Answer:
4_5=_1 then -1 is <25 25_1 25<-1
The answer should be Letter B
Answer:
Step-by-step explanation:
Step-by-step explanation:
P varies directly as the cubic root of Q means that:
![p = x \times \sqrt[3]{q}](https://tex.z-dn.net/?f=p%20%3D%20x%20%5Ctimes%20%20%5Csqrt%5B3%5D%7Bq%7D%20)
, where x is a real constant number.
Which means that:
![x = \frac{p}{ \sqrt[3]{q} }](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7Bp%7D%7B%20%5Csqrt%5B3%5D%7Bq%7D%20%7D%20)
for q ≠0.
So we get that for q=8,p=4 which means:
![x = \frac{4}{ \sqrt[3]{8} } = \frac{4}{2} = 2](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B4%7D%7B%20%5Csqrt%5B3%5D%7B8%7D%20%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B2%7D%20%20%3D%202)
As a result we get that for Q=64:
![p = 2 \times \sqrt[3]{64} = 2 \times 4 = 8 \\ since \: {4}^{3} = 4 \times 4 \times 4 = \\ 16 \times 4 = 64](https://tex.z-dn.net/?f=p%20%3D%202%20%5Ctimes%20%20%5Csqrt%5B3%5D%7B64%7D%20%20%3D%202%20%5Ctimes%204%20%3D%208%20%5C%5C%20since%20%5C%3A%20%20%7B4%7D%5E%7B3%7D%20%20%3D%204%20%5Ctimes%204%20%5Ctimes%204%20%20%3D%20%20%5C%5C%20%2016%20%5Ctimes%204%20%3D%2064)
So for q=64,p=8.