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3 years ago

Find the population density of a city with an area of 598 square miles and a population of 21,500 people.

Mathematics

1 answer:

Pie3 years ago

3 0

Answer: $35.12\text{ persons per square mile}$

Step-by-step explanation:

Given: The area of a city = 598 square miles

The population of city = 21,500 people.

The population density for a city is given by :-

$\text{Population density }=\frac{\text{Number of people }}{\text{Land area}}\\\\\Rightarrow\ \text{Population density }=\frac{21000}{598}\\\\\Rightarrow\ \text{Population density }=35.11705\approx35.12\text{ persons per square mile}$

Hence, the population density of a city = $35.12\text{ persons per square mile}$

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brainly.com/question/11331230

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3 years ago

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

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3 years ago

Cole spent a total of 523.46 on holiday gifts for his friends and family. If he bought gifts for eleven people,about how much di

Vlada [557]

Answer:

Cole spend 47.587 on buying gifts for each person.

Step-by-step explanation:

Given:

Total money spend on gifts = 523.46

Number of people gifts were bought for = 11

We need to find how much he spend on each person.

Solution:

To find how much he spend on each person we will divide total money spend on gifts with number of people gifts were bought for.

framing in equation form we get;

Spending on each person = $\frac{523.46}{11} = 47.587$

Hence Cole spend 47.587 on buying gifts for each person.

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4 years ago