Answer:
THANK YOU! YOU TOO! :)
Step-by-step explanation:
Have a nice dayyyyyy <3
Step-by-step explanation:
We will prove by mathematical induction that, for every natural
,
We will prove our base case, when n=4, to be true.
Base case:

Inductive hypothesis:
Given a natural
,
Now, we will assume the induction hypothesis and then use this assumption, involving n, to prove the statement for n + 1.
Inductive step:

With this we have proved our statement to be true for n+1.
In conlusion, for every natural
.
Answer:
7
Step-by-step explanation:
First, you look at the prices that are $30 or above.
Next, you look at the frequency for the ones that are $30 or above.
The numbers are 3, 2, and 2.
Last, you add the numbers 3 + 2 + 2 = 7
Answer:
s = 1/t - 1/r
Step-by-step explanation:
1/r+s=1/t
Subtract 1/r from each side
1/r - 1/r+s=1/t- 1/r
s = 1/t - 1/r
For this, use order of operations. your first step would be inside the parenthesis for the exponent. so now you have (4)^4. four to the fourth is 256, so your answer is 256!