Answer:
The 8th term of the sequence is 896/2187.
Step-by-step explanation:
We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.
We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:
Where <em>a</em> is the initial term and <em>r</em> is the common ratio.
Substitute:
To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:
In conclusion, the 8th term of the sequence is 896/2187.
Answer:
Option B.
Step-by-step explanation:
It is given that
A = {The Rationals}
B = {The Irrationals}
We need to find the set A∪B.
If we have two sets X and Y then union of these sets (X∪Y) contains all the elements of set X, of set Y or both.
It is given that A is the set of rations and B is the set of irrational, so the union A∪B is the combined set of all rational or irrational numbers.
A∪B = {The Rationals} + {The Irrationals}
A∪B = {The Reals}
Therefore, the correct option is B.
Answer:
R = -S - rR
Step-by-step explanation:
S = R - rR
R = -S - rR
Y = 16, -16
explanation: the absolute value bars make the expression inside positive, if they were negative to begin with. so, a negative number like -16 becomes 16, and a positive number like 16 still stays the same
<h3>
Answer: 9.4 feet</h3>
Work Shown:
sin(angle) = opposite/hypotenuse
sin(22) = x/25
x = 25*sin(22)
x = 9.3651648353978
x = 9.4
Your calculator needs to be in degree mode. One way to check is to compute sin(30) and you should get 0.5 or 1/2.
