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maxonik [38]
3 years ago
11

A researcher is studying a mouse population in a field. For the first year of her study, she notices that the mouse population d

emonstrates exponential growth. However, by the third year of her study, the mouse population has stabilized at approximately 500 mice (although this number fluctuates a bit). Thus, 500 mice would be the _____ of the field being studied.
Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Answer:

The 500 mice would be the carrying capacity of the field being studied.

Step-by-step explanation:

For the first year of study, the mouse population demonstrates exponential growth.

But by third year, the mouse population has stabilized at approximately 500 mice.

Thus, this 500 mice would be the carrying capacity of the field being studied.

Carrying capacity is defined as the measure to demonstrate the maximum population size that any given environment can sustain for an unspecified time period.

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A school is building a rectangular soccer field that has an area of 6000 square yards .the soccer field.must be 40 yards longer
LekaFEV [45]

Answer:

The equation in standard form is:

x^2-40x-6000 = 0

Step-by-step explanation:

Let the length of the field be x yards.

Now the width of the field is 40 yards less than the length of the field.

Thus, the width of the field would be (x-40) yards

Now, to calculate the area of the field, we simply multiply the length of the field by the width of the field.

Hence;

Since the shape is rectangular, the area is the product of the length and that of the width

x(x-40) =6,000

x^2 -40x = 6,000

x^2-40x-6000 = 0

4 0
4 years ago
What is the solution to the system of linear equations?
Dmitry_Shevchenko [17]

Answer:

x = 5, y = -1/2

Step-by-step explanation:

3.5x - 5y = 20

3x + 4y = 13 multiply by 1.25 so the y's match up (you could match x's too)

3.75x + 5y = 16.25

–––––––––––––––––––––––

3.5x - 5y = 20

3.75x +5y = 16.25

7.25x + 0y = 36.25 you can add or subtract here (on this equation you add)

7.25x=36.25

x=5 So now we have x=5 and to find y we can just plug in x into one of the equations

–––––––––––––––––––

3(5) + 4y = 13

15 + 4y = 13

4y = -2

y = -1/2

x = 5, y = -1/2

Then you can plug in both to check your answers.

4 0
3 years ago
Please answer the question below:
irinina [24]

please give brainliest<3

Answer:

y=3

Step-by-step explanation:

(3 + 12) / (7 - 12) = (15) / (-5) = -3

5 0
1 year ago
In one grade of 150 students, the ratio of boys to girls is 2 : 3.
Radda [10]

Answer:

60 boys are in the grade.

Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.

3 0
3 years ago
A function changes $250 fee to rent the hall plus $15 per guest.
Rzqust [24]

Answer:

$= 15p=250

Step-by-step explanation:

So lets say 15 per guest is represented at p so    $= 15p+250

8 0
4 years ago
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