Answer:
Step-by-step explanation:
The common ratio is given as 2, so the base of any exponential must be 2 (not -2 or 2.25). The 4th term is negative, so the initial value must be negative (since the multiplying factor is positive). The only selection matching these requirements is d.
You know the general term is ...
... an = a1·r^(n-1)
so the 4th term is
... -18 = a1·2^(4-1) = 8·a1
Then the first term is ...
... a1 = -18/8 = -2.25 . . . . . confirms our choice of answer d.
Answer:
x = 5
angle measure labelled 6x is 30degrees
Step-by-step explanation:
Find the diagram attached
from the diagram;
6x = 30 (vertically opposite angle)
Divide both sides by 6
6x/6 = 30/6
x = 5
Get the angle labelled 6x
6x = 6(5)
6x = 30degrees
Answer:
Tiffany is 34% closer to the school.
Step-by-step explanation:
Given the statement: Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away.
She lived away from the school = 15 km
as, she moved 9.9 km away.
Now, the distance closer to school from where she lived = 15 -9.9 = 5.1 km
To, find how much percent she is closer to school.
Percent states that a number or ratio expressed as a fraction of 100.
=
Simplify:
percent closer to school = 34%
Therefore, she is 34% closer to the school.
