here we have given that number of bees visit a plant id 500 times the number of years that the plant is alive.
we know that t is the number of years that plant is alive.
we know that
is expression representing the number of bees that will visit the plant in its life time.
Answer:
279 silvery minnow
Step-by-step explanation:
Number of Silvery Minnows initially tagged = 54
Number of minnows captured = 62
Number of tagged minnows in captured ones = 12
Remember that in the very beginning there were no tagged minnows. 54 minnows were captured, tagged and released. This means, there are total 54 tagged minnows in the entire population. Lets say there are x number of minnows in total.
So, in x minnows, 54 are tagged ones.
When 62 minnows are captured, only 12 are tagged ones and remaining are un-tagged. Since, the minnows were randomly captured, we can develop a proportion from this case to estimate the total population of minnows in the Rio Grande River.
Ratio of tagged minnows to total population must be equal to the ratio of captured tagged minnows in total captured minnows.
i.e.

This means, there were 279 silvery minnows in the Rio Grande River.
To make a positive profit p(x)>0 we need to make:

Now we solve this for x:

We have:
a = -2
b = 7
c = -3
We will use formula for quadratic equation:

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
So imma be using the Pythagorean Theorem, which is

. The a and h variable represent the legs of the right triangle while c variable stands for the hypotenuse. And since we have one of the legs and the hypotenuse, we are solving for the other leg.
So first we are gonna plug in 60 and 63 in their appropriate spots:

Solve the exponents to get

Subtract 3600 on each side to get

To cancel out the squared power, you have to square root each side of the equation, and your final answer should be

cm