Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
Answer:
The volume of the prism is <em>864</em><em> </em><em>inches</em><em>^</em><em>3</em>.
Step-by-step explanation:
The basic formula for the volume of a prism is:
V = Ah
where:
V = Volume of prism
A = Area of uniform cross-section or base of prism = 96 inches^2
h = Perpendicular height of prism = 9 inches
Substitute the values given in the question into the formula.
V = 96 × 9
V = 864 inches^3
Simplify the following:
(5 i^3 t^4)/7 - 2
i^3 = i^2×i = (-1) i = -i:
(5×-i t^4)/7 - 2
Put each term in (5 (-i) t^4)/7 - 2 over the common denominator 7:
(5 (-i) t^4)/7 - 2 = (-5 i t^4)/7 - 14/7:
(-5 i t^4)/7 - 14/7
(-5 i t^4)/7 - 14/7 = (-5 i t^4 - 14)/7:
Answer: (-5 i t^4 - 14)/7
The mean of the data set is 6.8.
<h3>What is the mean?</h3>
Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.
Given
The data set is 14, 7, 2, 8, 3.
The mean of the data set is given by;
Hence, the mean of the data set is 6.8.
To know more about mean value click the link given below.
brainly.com/question/4209766
Answer:
your answer should be b= 17
