The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.
Examples:
is autonomous
is *not* autonomous
The answer is 24.5. Just plug the numbers in
Answer:
19 days
Step-by-step explanation:
Given
--- initial
-- rate
Required
Days when the fish gets to 30
The function is exponential and as such it follows;
Where x represents the number of days and y the number of fishes
Because the fishes decreases;
So, we have:
Express as decimal
In
So, we have:
Divide both sides by 150
Take log of both sides
Apply law of logarithm
Make x the subject
<em>Hence, it takes approximately 19 days</em>
3.25 would be 3 1/4 because,
Step 1: You would rewrite the decimal number as a fraction with 1 in the denominator. So, 3.25 = 3.24/1
Step 2: Multiply it by 1 to eliminate 2 decimals places, so multiply the top and bottom by 10^2 = 100
3.25/1 x 100/100 = 325/100
Step 3: Now you find the greatest common factor, also known as GCF, of 325 and 100 if it exits then you reduce the fraction by dividing both numerator and denominator by it. GCF = 25
3.25/100 divided by 25/25 = 13/4
Now you would simplify it to make a proper fraction getting your answer
3 1/4
Does that make sense?