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Elis [28]
2 years ago
5

High population density can cause increases in competition for resources, such as food and shelter. The table shows the number o

f zebras living in four different regions.
A 3-column table has 4 rows. The first column has entries Region A, Region B, Region C, Region D. The second column is labeled Population of Zebras with entries 1,312, 630, 16,400, 17,800. The third column is labeled Area (kilometers squared) with entries 212, 314, 625, 902.

In which region is competition for resources most likely the greatest?
Mathematics
1 answer:
Digiron [165]2 years ago
4 0
<h3>Answer:  Region C</h3>

=============================================================

Explanation:

Check out the screenshot below.

I formed a fourth column where we divide each population over its corresponding area. For example, region A will have a population density of roughly 1312/212 = 6.19 which means there are 6.19 zebras per square km.

The higher the population density, the more competition for resources. We see that region C has the highest density at about 26.24 zebras per square km. There are more zebras competing for food/water/shelter/etc in the same relative area compared to the other regions.

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Determine whether the graph represents a proportional relationship. (4 points) A graph is shown. The x-axis is labeled from 0 to
astraxan [27]

Answer:

c Yes, it is a proportional relationship because the graph is a straight line (and passes the vertical line test)

Step-by-step explanation:

7 0
3 years ago
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What is the result of 4/ 1/2
Gemiola [76]

\bf \cfrac{~~4~~}{\frac{1}{2}}\implies \cfrac{~~\frac{4}{1}~~}{\frac{1}{2}}\implies \cfrac{4}{1}\cdot \cfrac{2}{1}\implies 8

7 0
4 years ago
Find the volume V obtained by rotating the region bounded by the curves about the given axis.
BartSMP [9]

Using the disk method, the volume is given by the integral

\displaystyle \pi \int_{\pi/2}^\pi (9\sin(x))^2\,\mathrm dx = 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx

That is, each disk has a radius of <em>y</em> = 9 sin(<em>x</em>) and hence area = <em>π</em> (9 sin(<em>x</em>))². Add up infinitely many such disks by integrating. Then the volume is

\displaystyle 81\pi \int_{\pi/2}^\pi \sin^2(x)\,\mathrm dx = \frac{81\pi}2 \int_{\pi/2}^\pi (1-\cos(2x))\,\mathrm dx \\\\ =\frac{81\pi}2 \left(x-\frac{\sin(2x)}2\right)\bigg|_{\pi/2}^\pi \\\\ = \frac{81\pi}2 \left( \left(\pi-\frac{\sin(2\pi)}2\right) - \left(\frac\pi2 - \frac{\sin(\pi)}2\right) \right) \\\\ = \boxed{\frac{81\pi^2}4}

8 0
3 years ago
Pls someone help me with these 2 questions and explain.. ​
garik1379 [7]

question 6,

Answer : 35.7 degree from north

Step-by-step explanation:

Bearing is angle w.r.t the north.

To calculate this angle we need the angle of the triangle in the diagram.

We know two sides of the triangle the base (18) and Perpendicular(25).

Tan(x) = 25/18

arctan(25/18) = 54.24 deg

Subtracting from 90 to get angle w.r.t north 90-54.24 = 35.7

Question 7,

Solution: 33.12

Explaination

calculate the length of the straw within the glass.

It makes a right angle  triangle with the glass, where the length is the hypotenuse.

the base is 9 (radius *2 = 4.5*2)

using Cos(x) = base / hypotenuse

cos(72) = 9 /Hypotenuse

Hypotenuse = 9/cos(72)

Hypotenuse  = 29.12

total length is hypotenuse + the length protruding out(4)

29.12 + 4  = 33.12

6 0
3 years ago
In year 1, nominal GDP for the United States was $2,250 billion and in year 2 it was $2,508 billion. The GDP deflator was 72 in
Nastasia [14]

Answer:

1.6%

Step-by-step explanation:

The real GDP is given by the nominal GDP divided by the GDP deflator, the real GDP for year 1 and year 2, respectively, were:

GDP_1=\frac{2250}{0.72}\\GDP_1=\$3,125\ billion\\\\GDP_2=\frac{2,508}{0.79}\\GDP_2=\$3,174.68\ billion

The percentage change in GDP is:

P=\frac{3,174.68-3,125}{3,125}\\ P=0.016=1.6\%

Between year 1 and year 2, real GDP rose by 1.6%.

5 0
3 years ago
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