I believe New York City was the first capital of the US.
Answer: they are similar because of the same side lengths
Step-by-step explanation:
Answer:
a = 2 , r = 5
Step-by-step explanation:
The n th term of a geometric progression is
= a![r^{n-1}](https://tex.z-dn.net/?f=r%5E%7Bn-1%7D)
where a is the first term and r the common ratio
Given the 4 th term is 250, then
ar³ = 250 → (1)
Given the 7 th term is 31250, then
a
= 31250 → (2)
Dividing the 2 equations gives
=
, that is
r³ = 125 ← take the cube root of both sides
r =
= 5
Substitute r = 5 into (1)
a × 5³ = 250, that is
125a = 250 ( divide both sides by 125 )
a = 2
There are 5 zeros in 3.2 million
Given:
The expression is:
![\dfrac{15m^2-3}{3m-1}](https://tex.z-dn.net/?f=%5Cdfrac%7B15m%5E2-3%7D%7B3m-1%7D)
To find:
The simplified value of the given expression.
Solution:
We have,
![\dfrac{15m^2-3}{3m-1}](https://tex.z-dn.net/?f=%5Cdfrac%7B15m%5E2-3%7D%7B3m-1%7D)
On dividing, we get
![(3m-1)|\overline{15m^2+0m-3}|5m+\dfrac{5}{3}](https://tex.z-dn.net/?f=%283m-1%29%7C%5Coverline%7B15m%5E2%2B0m-3%7D%7C5m%2B%5Cdfrac%7B5%7D%7B3%7D)
![-(15m^2-5m)](https://tex.z-dn.net/?f=-%2815m%5E2-5m%29)
![\overline{\quad \quad -5m-3}](https://tex.z-dn.net/?f=%5Coverline%7B%5Cquad%20%5Cquad%20-5m-3%7D)
![-(5m-\dfrac{5}{3})](https://tex.z-dn.net/?f=-%285m-%5Cdfrac%7B5%7D%7B3%7D%29)
![\overline{\quad \quad -\dfrac{4}{3}}](https://tex.z-dn.net/?f=%5Coverline%7B%5Cquad%20%5Cquad%20-%5Cdfrac%7B4%7D%7B3%7D%7D)
Here, quotient is
and the remainder is
.
Therefore,
.