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riadik2000 [5.3K]
3 years ago
9

Which expression can be used to represent the phrase Lamar decreased his collection of cards by seven

Mathematics
1 answer:
jenyasd209 [6]3 years ago
3 0

Answer:

x-7

Step-by-step explanation:

Let

x------> Lamar's collection of cards

The algebraic expression of the phrase "Lamar decreased his collection of cards by seven" is equal to subtract the number seven from  Lamar's collection of cards

so

x-7

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3 years ago
The manager of a national park determines that the park can sustain 81 coyotes. The manager assumes that the rate of change of t
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Answer:

N(T) = \frac{81*40*e^{1.075t}}}{81 + 40*(e^{1.075t} - 1)}

Step-by-step explanation:

This problem can be solved by the logistic equation of populations, that is:

N(t) = \frac{KN_{0}e^{rt}}}{K + N_{0}(e^{rt} - 1)}

In which K is the carrying capacity of the population, N_{0} is the initial population, r is the decimal growth rate and t is the period of time.

In this problem, we have that:

When t = 0, the population is 40: This means that N_{0} = 40.

The manager of a national park determines that the park can sustain 81 coyotes. This means that K = 81.

When t = 1, the population has increased to 60. This means that N(1) = 60.

To write the equation, we have to find the value of r.

N(t) = \frac{KN_{0}e^{rt}}}{K + N_{0}(e^{rt} - 1)}

60 = \frac{81*40*e^{r}}}{81 + 40*(e^{r} - 1)}

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The answer is:

N(T) = \frac{81*40*e^{1.075t}}}{81 + 40*(e^{1.075t} - 1)}

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