Exponent rule : a^-x = 1/a^x
x^-9 * x^-2 =
1/x^9 * 1/x^2 = (when multiplying exponents with same base, add exponents)
1/x^(9 + 2) =
1/x^11
Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
Sn = a1 x (1 - r^n) / (1 - r)
where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,
<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047.
Answer:
5/3
Step-by-step explanation:
2 2/3 * 5/8
~Turn both into improper fractions
8/3 * 5/8
~Multiply
40/24
~Simplify
5/3
Best of Luck!
Answer:
(5-1)/(5-1)= 4/4= 1
y - 1 = x - 1
y = x
Step-by-step explanation:
Answer:
[130-5(13)] (13) = $845 max revenue.
Step-by-step explanation:
If the number of books sold = 130-5p then revenue will be (130-5p)p = -5p^2+130p
the maximum can be found by graphing or by the fact that the max will be -b/2a = -130/-10 = 13 dollars/book
[130-5(13)] (13) = $845 max revenue.
