Answer:
![[tex]4608\sqrt{3}](https://tex.z-dn.net/?f=%5Btex%5D4608%5Csqrt%7B3%7D)
[/tex]
Step-by-step explanation:
1. 
2. 
<em>factoring 96</em>
<em>since 
</em>
3. 
<em>using exponent rule - 
</em>
<em> 
</em>
4. 
<em>doing some simple simplification and 
and 6=2*3</em>
5. 
<em>collecting the roots on one side and applying exponent rule</em>
6. 
<em>Applying exponents rule on all 
and 
</em>
<em>7. 
</em>
<em>combining all powers of 2</em>
8. 
<em>Simplifying</em>
9. 
10. 
11. 
Answers:
- (a) 1/10
- (b) 3/10
- (c) 3/10
- (d) 2/5
===========================================
Explanations:
Part (a)
There is only one disc labeled "3" out of 10 total. So we end up with the probability 1/10.
---------------------
Part (b)
The list of numbers less than 4 are {1,2,3} which are 3 items out of 10 discs. We end up with 3/10.
---------------------
Part (c)
A square number, aka a perfect square, smaller than 10 is the list {1,4,9}
Since 1 = 1^2, 4 = 2^2 and 9 = 3^2
Like part (b), we end up with the same result of 3/10.
---------------------
Part (d)
The list of primes smaller than 10 is {2, 3, 5, 7}. Notice that 1 is not prime.
So we end up with 4/10 = 2/5.
Answer:
11y²
Step-by-step explanation:
Subtract 5y² from 16y²
Heads-Purple
Heads-White
Tails-Purple
Tails-White
Answer:
x = -2
Step-by-step explanation:
You can also solve for the equation given.
2x + 7 = 1 - x
3x = -6
x = -2
