All categories

3 years ago

about 70,000 people live in a circular region with a 30-mile radius. find the population density in people per square mile.

Mathematics

1 answer:

bezimeni [28]3 years ago

4 0

Solve for the area of the circular region first:

A = pi*r^2

A = pi*(30 mi)^2

A = 2827.43 mi^2

Density = 70000 people/2827.43 mi^2

Density = 24.76 = 25 people/mi^2 <--ANSWER Plz vote brainnliest

You might be interested in

The sample mean is a statistic. True or false

ruslelena [56]

Answer:

true

Step-by-step explanation:

6 0

3 years ago

Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.

loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
$\dfrac{x^a}{x^b} = x^{(a-b)}$
$(a^a)^b =x^{(a\times b)}$
$(xy)^a = x^ay^a$

$x^{\frac{3}{4}} = \sqrt[4]{x^3}= (\sqrt[3]{x})^4$

The solution of the expression is $\dfrac{4x^4}{y^6}$ .

<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

Using identity $(xy)^a = x^ay^a$ ,

$=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}$

Using identity $(a^a)^b =x^{(a\times b)}$ ,

$=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})$

Solving further

$=2^2x^4y^{-6}$

Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

$=\dfrac{2^2x^4}{y^6}$

$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

brainly.com/question/2193820

8 0

2 years ago

0.25(8)+0.15x=0.35(20+x)

IRINA_888 [86]

X=-25 is the answer.

3 0

3 years ago

Alex bought 9 2/3 pounds of hamburger meat for a cookout. He plans to make 1/3 pound hamburgers.What is the maximum number of 1/

sladkih [1.3K]

29 you divide 1/3 by 9 and add the extra 2

8 0

3 years ago

Read 2 more answers

Plz help I will mark you brainlist plz hellp

Ilya [14]

Answer:Probability = 1/8.

Step-by-step explanation:

A number cube has six sides. Each side has a number from 1 to 6. This means that there are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5). Therefore:

P(number cube lands on an even number after roll) = Number of even numbers/Number of total numbers. = 3/6 = 1/2.

Since the cube has to be rolled three times, the probability will be multiplied 3 times (assuming that each roll in independent of each other). Therefore:

P(number cube lands on an even number 3 times after roll) = 1/2 * 1/2 * 1/2 = 1/8.

Therefore, the answer is 1/8!!!

6 0

4 years ago