Solve the problem.Wildlife management personnel use predator-prey equations to model the populations of certain predators and their prey in the wild. Suppose the population M of a predator after t months is given by M = 750 + 125 sin twhile the population N of its primary prey is given by N = 12,250 + 3050 cos tFind the period for each of these functions.

Fill in the blank(s) with the appropriate word(s).


12, 12

Mathematics

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On a certain island new species are being introduced at a rate of

 species per year.
But conditions cause species extinction at a rate of
 species per year.
Here t is the time in years. Equilibrium occurs when the rate of extinction is the same as the rate new species are being introduced.A: The time when equilibrium occurs is the solution of an equation. Which equation?B: Plot the graphs of both N and E on the same coordinate axes over the first 10 years of activity.C: When does equilibrium occur? Round your answer to two decimal places.D: What is extinction rate when equilibrium occurs? Round your answer to two decimal places.

What will be an ideal response?

Mathematics

Use the exponential key to find an approximation to the nearest thousandth.1.6

A. 0.231 B. 0.277 C. 0.606 D. 0.640

Mathematics

Subtract.

A. 4087 B. 4155 C. 4147 D. 5155

Mathematics

Classify the equation as a contradiction, an identity, or a conditional equation.2(2f + 20) = 4f + 40

A. Conditional B. Identity C. Contradiction

Mathematics