Answer:
Step-by-step explanation:
2^0 is less than or equal to 1!, because 1<= 1
if 2^n <= (n+1)!, we wish to show that 2^(n+1) <= (n+2)!, since
(n+2)! = (n+1)! * (n+2), and (n+1)!>= 2^n, then we want to prove that n+2<=2, which is always true for n>=0
The answer is 39
Hope this helps
Answer: change, position, shape
Step-by-step explanation:
Let's take a look at a perfect square trinomial.

We can distribute this expression to get

.
An important relation to recognize here is that the constant is the square of half of the x value.
Now, if we wanted to add a number to

to make a perfect square trinomial, we could have the value of x and then square it.
Half of 16 is 8, and 8 squared is
Answer:5.435
Step-by-step explanation: In math, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. To find this answer, we need to find the average of a set of data, we add up all the values and divide this total by the numbers of values. So if you add 4.40, 3.12, 8.00 and 6.22 together, we get 21.74. There are four values (4.40, 3.12, 8.00 and 6.22) so we divide the amount of values there are, which would be four. 21.47/4 would then get you 5.435