Question

Is anyone here familiar with Algebra 1B problems?

Answer 1

Part 5)
`3`

Part 6)
`2`

Par 7)
`S=5\ ft`

Part 8)
`S=7\ m`

Explanation:

Part 5) we have

`\sqrt[3]{27}`

we know that

`27=3^(3)`

substitute

`\sqrt[3]{27}=\sqrt[3]{3^(3)}=3^{(3)/(3)}=3`

Part 6) we have

`\sqrt[4]{16}`

we know that

`16=2^(4)`

substitute

`\sqrt[4]{16}=\sqrt[4]{2^(4)}=2^{(4)/(4)}=2`

Part 7) we know that

The volume of the cube is equal to

`V=S^(3)`

where

S is the length side of the cube

In this problem we have

`V=125\ ft^(3)`

substitute

`125=S^(3)`

`S=\sqrt[3]{125}=\sqrt[3]{5^(3)}=5^{(3)/(3)}=5\ ft`

Part 8) we know that

The volume of the cube is equal to

`V=S^(3)`

where

S is the length side of the cube

In this problem we have

`V=343\ m^(3)`

substitute

`343=S^(3)`

`S=\sqrt[3]{343}=\sqrt[3]{7^(3)}=7^{(3)/(3)}=7\ m`