What to the power of four equals 256

Mathematics

2 answers:

san4es73 [151]3 years ago

8 0

A good way to determine this is to use logarithms, the inverse of exponents.
In any given equation, if y=b^x, then logbase(b) of y = x

Due to a property of logarithms, you can also write logbase(b) of y as logy/logb.
The "log" button can be found easily on most modern calculators, so you can follow along too.
Anyways, though, our problem says that 256 = b^4
You can apply logarithms, but an easier way to do this is to square-root 256 twice.
sqrt256->16
sqrt16->4
4^4 is 256. Let's check, shall we?
4*4 is 16. That *4 is 64. 64 *4 is... 256!
Those are just a couple ways to go about it, though.

Schach [20]3 years ago

3 0

4 Hope this helped ;):):)

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Answer

68.4%

Step-by-step explanation

The volume of a cylinder is calculated as follows:

$V=\pi r^2h$

where r is the radius and h is the height of the cylinder.

In the case of cylinder A, its radius is r = 5 ft (= 10/2) and its height is h = 14 ft. Then, its volume is:

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In the case of cylinder B, its radius is r = 8 ft (= 16/2) and its height is h = 8 ft. Then, its volume is:

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After the pumping is completed all the liquid in cylinder A, which was full, is placed in cylinder B. If the volume of cylinder B represents 100%, then we need to find what percent, x, represents the volume of cylinder A. We can do this with the help of the next proportion: