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melamori03 [73]
3 years ago
8

The largest colony of black-tailed prairie dogs contains 400 million prairie dogs on 24,000 square miles of land. Using these es

timates, what is the average number of prairie dogs for each square mile?
Mathematics
2 answers:
jarptica [38.1K]3 years ago
7 0

Answer: the average number is

1667 prairie dogs per square mile.

Step-by-step explanation:

The largest colony of black-tailed prairie dogs contains 400 million prairie dogs on 24,000 square miles of land.

To determine the average number of prairie dogs for each square mile, we would divide the total population of prairie dogs by the total area of land on which they at found. It becomes

400000000/240000 = 1666.6667

Approximately 1667 prairie dogs per square mile.

asambeis [7]3 years ago
3 0

Answer:

16666.67 per square mile  

Step-by-step explanation:

Largest colony of black-tailed prairie dogs = 400 millions

total area of land occupy = 24000 square miles of land

estimates of average number of prairie dogs = 400 000 000 / 24 000 = 16666.67 per square mile  

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What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25
Jobisdone [24]

Answer:

The coordinate of the  vertex of the parabola is (h,k) =  (3,20)

Step-by-step explanation:

The given equation of the parabola is y=-5x^2+30x-25

Now, the General Parabolic Equation is of the form:

y = a (x-h)^2 + k, then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

y=-5x^2+30x-25   = -5(x^2  -6x   + 5)

Using the COMPLETE THE SQUARE METHOD,

-5(x^2  -6x   + 5)  = -5(x^2  -6x  +  (3)^2 +  5  - (3)^2)\\\implies -5(((x^2  -6x +(3)^2)  + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20

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⇒The general formed equation of the given parabola is

y  = -5(x-3)^2 + 20

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the  vertex of the parabola is (h,k) =  (3,20)

5 0
4 years ago
Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)
aniked [119]

Answer:

3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

ax^2+bx+c    (1)

You have the following polynomial:

3x^2-10x+8    (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

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By comparing the equation (1) with the equation (2) you obtain:

a = 3

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Then, you replace these values in the equation (3):

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Then, the factorization of the polynomial is:

3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})

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