Y= 4/3x -1 use y2-y1 over x2-x1
The bottle rotates 180 degrees in 2 seconds.
I divided 270 by 3, which was 90. Then, I multiplied 90 by 2. Which was 180.<span />
Answer:
f(n) = f(n - 1) + 3
Step-by-step explanation:
Substitute
to get the recursive formula.
OPTION 1: f(n) = f(n - 1) + 3
Substituting n = 1.
f(1) = f(1 - 1) + 3 = 0 + 3 = 3.
Substituting n = 2.
f(2) = f(2 - 1) + 3 = f(1) + 3 = 3 + 3 = 6.
Substituting n = 3.
f(3) = f(3 - 1) + 3 = f(2) + 3 = 6 + 3 = 9.
The numbers match the given sequence. So, we say the above recursive formula represents the sequence.
OPTION 2: f(n) = f(n - 1) + 2
Substituting n = 1
f(1) = f(0) + 2
3.
So, this is eliminated.
Similarly, OPTION 3 and OPTION 4 can be eliminated as well.
Answer: 3
<u>Explanation:</u>
Since we want the least number of integers, divide by the largest integer (9).
2018 ÷ 9 = 224 remainder 2
So, N = 2999...999 <em>(there are 224 of the 9's) </em>
Thus, N + 1 = 2999...999 + 1 <em>(there are 224 of the 9's) </em>
<em> </em>= 3000...000 <em>(there are 224 of the 0's) </em>
The sum of the digits is: 3 + 0 + ... + 0 <em>(there are 224 of the 0's) </em>
= 3