Answer:
9 cups
Step-by-step explanation:
Since every 6 cups have 7 1/2 gallons, you would divide 7 1/2 gallons by cups which gets you 1.25 as an answer. After you have found out that, then you would divide all 4 of those answers by 11 1/4 gallons, and if your answer is 1.25, well then that is your answer to the question, so it would be 9 cups in this case.
Answer:
a) N = 2^8 = 256
b)N = 2^8 + 2^7 +2^6 +2^5 +2^4 +2^3 +2^2 +2^1
Step-by-step explanation:
Given;
String of length 8, with two options (0 or 1) each.
a) for the number of bits of strings of length 8.
Each digit of the 8 digit string has 2 options.
For 8 digit, we have
N = 2×2×2.... = 2^8 =256
b) for bit of strings of length 8 or less.
For n string = 2^n
For n < 8
The number of bit strings for length 8 or less are;
N = N8 +N7 + N6 + ... +N1
N = 2^8 + 2^7 +2^6 +2^5 +2^4 +2^3 +2^2 +2^1
Answer:
$24
Step-by-step explanation:
20-32= 12 12x2= 24 so her weekly allowance is $24
<h3>
Answer:</h3>
- a_n = -3a_(n-1); a_1 = 2
- a_n = 2·(-3)^(n-1)
<h3>
Step-by-step explanation:</h3>
A) The problem statement tells you it is a geometric sequence, so you know each term is some multiple of the one before. The first terms of the sequence are given, so you know the first term. The common ratio (the multiplier of interest) is the ratio of the second term to the first (or any term to the one before), -6/2 = -3.
So, the recursive definition is ...
... a_1 = 2
... a_n = -3·a_(n-1)
B) The explicit formula is, in general, ...
... a_n = a_1 · r^(n -1)
where r is the common ratio and a_1 is the first term. Filling in the known values, this is ...
... a_n = 2·(-3)^(n-1)
