MHB Solving Pot Roast & Math Problems: A Walkthrough

[Cuberoot1]

Could somebody give me a walkthrough for this problem?

The number of hours h needed to cook a pot roast that weighs p pounds can be approximated by using the formula h = 0.9p^0.6.

b. If pot roast A weighs twice as much as pot roast B, then roast A should be cooked for a period of time that is how many times longer than the time required for roast B to cook?

Also.

I'm stuck in this problem.

( x^4-n • y^n+4 / xy^n-4 )^2

I think this is next.

( x^4-n-n-4 • y^n+4-n-4 )^2

If I'm right, what now? If I'm wrong, what did I do wrong? If I could have written my problem in a better way that is easier to understand, then please tell me.

 

[earboth]

Could somebody give me a walkthrough for this problem?

The number of hours h needed to cook a pot roast that weighs p pounds can be approximated by using the formula h = 0.9p^0.6.

b. If pot roast A weighs twice as much as pot roast B, then roast A should be cooked for a period of time that is how many times longer than the time required for roast B to cook?

Good evening,

If $$h_B=0.9 \cdot p^{0.6}$$ then you only have to replace p by the weight of A relative to B. Afterwards simplify a little bit.

Also.

I'm stuck in this problem.

( x^4-n • y^n+4 / xy^n-4 )^2

I think this is next.

( x^4-n-n-4 • y^n+4-n-4 )^2

If I'm right, what now? If I'm wrong, what did I do wrong? If I could have written my problem in a better way that is easier to understand, then please tell me.

If you mean:

$$\left(\frac{x^{4-n} \cdot y^{n+4}}{x \cdot y^{n-4}}\right)^2$$

and you want to use the power rules then you should come out with

$$x^{2(4-n-1)} \cdot y^{2(n+4-(n-4))}$$

Simplify!