The first step to solving this expression is to factor out the perfect cube
![\sqrt[3]{m^{2} n^{3} X n^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bm%5E%7B2%7D%20%20n%5E%7B3%7D%20X%20n%5E%7B2%7D%20%20%20%7D%20)
The root of a product is equal to the product of the roots of each factor. This will make the expression look like the following:
![\sqrt[3]{ n^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20n%5E%7B3%7D%20%7D%20)
![\sqrt[3]{ m^{2} n^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20m%5E%7B2%7D%20n%5E%7B2%7D%20%20%7D%20)
Finally,, reduce the index of the radical and exponent with 3
n
This means that the correct answer to your question is n
![\sqrt[3]{ m^{2} n^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20m%5E%7B2%7D%20n%5E%7B2%7D%20%7D%20)
.
Let me know if you have any further questions
:)
Answer:
5,120 bacterias
Step-by-step explanation:
Given the amount of bacteria after x hours modelled by the equation:
f(x) = 20(2)^x/12
Note that x is in hours not days
To calculate the number of bacteria that will be contained within the culture after 4 days, we will first convert 4days into hours since x is in hours.
24hours = 1day
xhours = 4days
x = 24×4
x = 96hours
Substituting x = 96 into the equation
f(96) = 20(2)^96/12
f(96) = 20(2)^8
f(96) = 20×2^8
f(96) = 20×256
f(96) = 5,120
The number of bacteria that will be contained after 4days is 5,120bacterias
Answer:
A. 
B.
C. 
Step-by-step explanation:
A.
There are 52/4 diamonds in the deck and 4 '5's in the dech of cards
52/4 = 13 + 4 = 17
Therefore, you have a chance of drawing one of those cards.
B.
There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same :
C.
There are 4 jacks in a deck of cards and 4 '8's in a deck of cards
Therefore your probability is 
which simplifies to 
<em>As per brainly guidelines I can only answer 3 questions in one answer</em>
the answer would be 80,because 800 divided 10 is 80.
Answer:
$5
Explanation:
Since Jerry walked the dog from 6:40am to 7:30am, the total minutes that he walked the dog was 50 minutes. Also a note, an hour is 60 minutes.
Since he is paid at a rate of $6 per 60 minutes, we can make a proportion.
660=x50
From here, you have to solve for x. So cross multiply, and then simplify.
60x=50⋅6
60x60=50⋅6/60
60x60=50⋅6/60
x=5⋅6/6
x=5
So the answer is $5.
