The particular solution to the differential equation which describes the number of fish over time will be y = 40(0.99)^t.
<h3>What is an exponent?</h3>
Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %
A population of endangered salmon, S(t), starts out with 40 fish and decreases proportionally at a rate of 0.01 fish per year. Let t be measured in years.
Let y be the number of fish over time (t).
Then we have

Then the particular solution to the differential equation which describes the number of fish over time will be y = 40(0.99)^t.
More about the exponent link is given below.
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I don't understand like what
Answer:
D
Step-by-step explanation:
So there are 4 queens in a standard deck same with the king. And they said they don't replace so 4/52 times 4/51= 16/2652 = 4/663
Answer:
The maximum height of the particle is 100 ft
A is correct
Step-by-step explanation:
A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second.
The standard equation of parabolic projectile.

where,



So, we get the parabolic equation of path.
The maximum value at vertex.


Maximum at t=0.5


Hence, The maximum height of the particle is 100 ft
To arrange numbers from least to greatest:
First write them down in decimal form. Now it will be easy to determine which value is greater than the other.
Arrange the decimal numbers from least to greatest.
Finally revert the decimal values to their fraction form having arranged them from one with least value to one with greatest value.