Answer:
The exponential growth function is 
Step-by-step explanation:
Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.
To find: exponential growth function that models the growth of the city
Solution:
The exponential growth function is given by 
Here, P denotes total population after time t
denotes initial population
k denotes rate of growth
t denotes time
As
,

As 

Answer:
Her pin must be 1147
Step-by-step explanation:
A little trick I have up my sleeve when I have these kind of questions is that I find the square root of each number, then find what is prime.

Since the only prime numbers in the range of 31 and 38 is 31 and 37.
We can then multiply 31 by 37 to get 1147.
Answer:
The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
Step-by-step explanation:
The given triangle has vertices at A(-4,1), B(-2,1) and C(-2,4)
The transformation rule for a horizontal translation by k units is

In this case we have k=6



Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
See attachment
Answer:
A = 1024π
Step-by-step explanation:
Use this equation to find the surface area of the sphere
Simplify the exponent
A = 4π(256) Multiply
A = 1024π
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