Answer:
It will increase by 24 starfish
Step-by-step explanation:
The population is modeled by the following differential equation:

Which has the following solution:

In which N(0) is the initial population and r is the growth rate.
A population of 2000 starfish has a yearly per capita population growth rate of 0.012.
This means that 
By next year, how do you expect population size to have changed?
This is N(1).



2024 - 2000 = 24
So the correct answer is:
It will increase by 24 starfish
Answer:
1.004 written as scientific notation is 1.004 × 10 to the power of 0
Step-by-step explanation:
You simply need to find the price of one orange at each store, and multiply that by 30.
Store A: 5/3= around $1.67= 1.67*30= $50.10
Store B: 3/2= $1.50= 1.5*30= $45.00
Store C: 9/5= $1.80= 1.8*30= $54.00
Store D: $1.25= 1.25*30= $37.50
As you can see above, at Store D, 30 oranges would only cost $37.50, making it the cheapest store to buy oranges.
I hope this helps :)
Explanation:
First we consider ΔABC and ΔBCD,
∠C=∠C (common)
∠B=∠D=
So, ΔABC ≈ ΔBCD (By AA similarity rule )
So by taking corresponding sides in ratios we get
Now
-------- Eqn (1)
Similarly,
We consider ΔABD and ΔABC
∠A=∠A (Commom)
∠B=∠D=
So,
ΔABD ≈ ΔABC (By AA similarity rule )
So by taking corresponding sides in ratios we get
Now,
--------Eqn (2)
By Adding both the equation we get

Hence, we proved the pythagorean theorem by using similarity of triangle.