Question

Help
me please and thank you explain it for 100 points

Answer 1

`\huge \colorbox{blue}{B}`

Explanation:

to understand this

you need to know about:

• equation
• PEMDAS

let's solve:

we are given the formula,Mass and volume

to find density we just need to substitute the value of mass and value and simplify it

`\sf substitute \: the \: value \: of \: mass \: and \: volume :`

`\quad \: \sf \frac{7.0 * {10}^(24) \: kg }{3.5 * {10}^(12) \: {km}^(3) }`

now we will use
`(x^m)/(x^n)=x^(m-n)` to simplify division

`\sf simplify \: division : \\ \quad \: \sf 2 * {10}^(24 - 12) * \frac{kg}{ {km}^(3) } \\ \quad \tt 2 * {10}^(12) \frac{kg}{ {km}^(3) }`

hence, our choice is
`B`

Answer 2

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`\huge\underline{\tt{\red{Formula:}}}`

`\quad\quad\quad\quad\tt{density = (mass)/(volume) }`

`\huge\underline{\tt{\red{Solution:}}}`

`\quad\quad\quad\quad\tt{density = \frac{7.0 * {10}^(24) \: kg}{3.5 * {10}^(12) \: k {m}^(3) } }`

`\quad\quad\quad\quad\tt{density = ((7.0)/(3.5 ) = 2.0)}`

`\quad\quad\quad\quad\tt{\:\:and\:\:({10}^(24 -12))}`

`\quad\quad\quad\quad \boxed{\tt{density = 2.0 * {10}^(12) \: \frac{kg}{k {m}^(3) }} }`

`\huge\underline{\tt{\red{Answer:}}}`

`\quad\quad \underline{\boxed{\tt{ \red{B.) \: \: 2.0 * {10}^(12) \: \frac{kg}{k {m}^(3) }}}} }`

`\huge\underline{\tt{\red{Explanation:}}}`

Given that the formula for density is equal to mass all over the volume.

We use this formula:

`\boxed{\tt{density = (mass)/(volume) }}`.

We substitute it like this:

`\boxed{\tt{density = \frac{7.0 * {10}^(24) \: kg}{3.5 * {10}^(12) \: k {m}^(3) } }}`

Then, hence we got:

`\boxed{\tt{density = 2.0 * {10}^(12) \: \frac{kg}{k {m}^(3) }} }`

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✍︎ C.Rose❀