Answer:
hold up what....
Step-by-step explanation:
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:
In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.
For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Hope this helps!
Answer:
<em>The concentration of the new mixture is 46%</em>
Step-by-step explanation:
The first solution of 5 fl. oz. is concentrated at 2% alcohol. The amount of alcohol in the solution is:
5*2/100=0.1 fl. oz.
The second solution of 11 fl. oz. is 66% alcohol. The amount of alcohol in the solution is:
11*66/100=7.26 fl. oz.
The total alcohol in the mixture is
0.1 + 6.6 = 7.36 fl. oz.
The total amount of the mixture is:
5 + 11 = 16 fl.oz.
The concentration of the new mixture is:
7.36 / 16 * 100 = 46%
The concentration of the new mixture is 46%
Multiply $75 by 1.1 because it includes the tax and the cake. you should get $82.50.
