8. When you’re making subsets, you have two options for each element in the original set: you can either include it or not. This gives you 2 x 2 x 2 = 8 possible ways you can put a subset together from the three elements in {3, 4, 5}.
7% = 0.07
0.07/4 = 0.0175
The answer is 0.0175
Answer:
-0.5 goes between -2 and 1
0.5 goes between -2 and 1
-4.5 goes below -2
-2.5 goes below -2
1.5 goes above 1
4 goes above 1
Answer:
0.5<2-√2<0.6
Step-by-step explanation:
The original inequality states that 1.4<√2<1.5
For the second inequality, you can think of 2-√2 as 2+(-√2).
Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.
Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.
Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.
Hope this helped!
Answer:
2*2*3*5
Step-by-step explanation:
We need to factor 60 until it is prime numbers
60 = 12*5 5 is prime 12 is not
=3*4 *5 3,5 prime 4 is not
= 3 *2*2 *5 2,3,5 are prime
Rearranging the order
=2*2*3*5
