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3 years ago

12

calculate the population density of a city that occupies 2,968.7 sq.miles and has 302,143 people. Round to the nearest person pe

r sq.mi.

1 answer:

Ad libitum [116K]3 years ago

4 0

302,143/2,968.7 = 101.776198336 ≈ 102 people/Sq. Mile

1. Divide the number of people by the area

2. Round to the the nearest person per Sq mile (if the number behind the number you want to round to is bigger or equal than 5 you increase the number you want to round to i. e. 2.5 ≈ 3, 2.3 ≈ 2, 1,23456 ≈ 1,235 if rounding to the third decimal point)

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WHOEVER EXPLAINS ALL THEIR WORK AND GOES THROW EAXH STEP WILL GET BRAINLEST THAT IS COMPLETELY FINISEHD. write the equation of t

neonofarm [45]

Answer:

$y = -3x+11$

Step-by-step explanation:

I accept your challenge!

First we know that a equation of the line is a linear equation, and its equation is:

$y = mx+b$

$m: \text{slope}\\b: \text{y-intercept}$

In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.

I will take $(3,2)$ as Point 1 and $(4,-1)$ as Point 2.

So, $x_{1}=3 \text{ and } y_{1}=2\\x_{2}=4 \text{ and } y_{2}=-1$

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{-1-2}{4-3}$

$m=\frac{-3}{1}=-3$

Now we have to find the y-intercept:

To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.

Our currently equation of the line is:

$y = -3x+b$

Using the points, take Point 1 as an example, it says that when $x = 3, y = 2$ , so plugging it in the equation:

$2 = -3(3)+b\\2 = -9+b\\11 = b$

Taking the Point 2

$-1 = -3(4)+b\\-1 = -12+b\\11 = b$

Now we found $b$ ! The equation is complete!

$y = -3x+11$

6 0

3 years ago

A father is 32 years older than his son. In four years,

sergiy2304 [10]

Answer:

father: 36
son: 4

Step-by-step explanation:

Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...

5(s+4) = (s+32)+4

5s +20 = s +36 . . . . . eliminate parentheses

4s = 16 . . . . . . . . . . . . subtract s+20

s = 4

The son is now 4 years old; the father, 36.

_____

<em>Alternate solution</em>

In 4 years, the ratio of ages is ...

father : son = 5 : 1

The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...

father : son = 40 : 8

So, now (4 years earlier), the ages must be ...

father: 36; son: 4.

5 0

3 years ago

Find the circumference and area of the circle. Round to the nearest tenth.<br> 2 m

Fed [463]

Radius=2m

Circumference:-

$\\ \bull\sf\dashrightarrow 2\pi r$

$\\ \bull\sf\dashrightarrow 4(3.14)$

$\\ \bull\sf\dashrightarrow 12.56m$

Area.

$\\ \bull\sf\dashrightarrow \pi r^2$

$\\ \bull\sf\dashrightarrow 3.14(2)^2$

$\\ \bull\sf\dashrightarrow 3.14(4)$

$\\ \bull\sf\dashrightarrow 12.56m^2$

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2 years ago

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Elden [556K]

Answer:

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Step-by-step explanation:

3 0

3 years ago

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let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q and p, if the y intercept is

svlad2 [7]

Answer:

The value of q and p is 4 and -24 respectively.

Step-by-step explanation:

Being $f(x)=\frac{p+8}{x-q}$ , the line x=4 is a vertical asymptote to the graph of f(x). The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.

Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:

x - q= 0

Solving:

x= q

Being the line x=4 the vertical asymptote, then

<u><em>4=q</em></u>

Then the function f (x) is:

$f(x)=y=\frac{p+8}{x-4}$

The y intercept is (0,4). This is, x= 0 and y=4. Replacing:

$4=\frac{p+8}{0-4}$

Solving:

$4=\frac{p+8}{-4}$

4*(-4)= p+8

-16= p+8

-16 - 8= p

<u><em>-24= p</em></u>

<u><em>The value of q and p is 4 and -24 respectively.</em></u>

7 0

3 years ago