Which expression is equivalent to ( 4 1/3)^3 ?

Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq

Alex

Answer:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

Step-by-step explanation:

For this case we know the population size $P = 20000$ and we also know the population density $D = 480 \frac{people}{km^2}$

We can assume that the area is a circle. We also know that the formula for the population density is given by:

$D= \frac{P}{A}$

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

$A = \pi X^2$

With X the radius of the circle

And then the populationd density become:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

6 0

4 years ago

After a 40% discount an item costs $360. what is the original cost

Reptile [31]

Original Price = Final Price / (100 - Discount)

So...

OP = 360 / 100 - 0.40
OP = 360 / 0.60
OP = 600

The original price is $600.

To check, do 600 - (600 * 0.40) in a calculator. You get 600 - 240 = 360, the discounted cost.

4 0

3 years ago

Read 2 more answers

Which equation is best represented by the graph above (x+1)(x-3)(x+2). please explain why

Nat2105 [25]

<h3>Answer:</h3>

y = (x +2)(x -1)(x -3) . . . . or . . . . y = x³ -2x² -5x +6

<h3>Step-by-step explanation:</h3>

The graph shows y=0 at x=-2, x=1, and x=3. These are called the "zeros" or "roots" of the function, because the value of the function is zero there.

When "a" is a zero of a polynomial function, (x -a) is a factor. This means the factors of the graphed function are (x -(-2)), (x -1) and (x -3). The function can be written as the product of these factors:

... y = (x +2)(x -1)(x -3) . . . . . the equation represented by the graph

Or, the product can be multiplied out

... y = (x +2)(x² -4x +3)

... y = x³ -2x² -5x +6 . . . . . the equation represented by the graph

7 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER

nlexa [21]

Answer:

B. 6.000000 g

Step-by-step explanation:

The reason why its B is due to it having more 'sigs' than 'figs'

Hope this helped <3

6 0

3 years ago

Christine buys 7 hamburgers and 3 sodas for $27.95. Laura buys 5 hamburgers and 4 sodas for $23.40. How much does a hamburger co

Naddika [18.5K]

7h+3s=27.95 subtract 7h from both sides

3s=27.95-7h divide both sides by 3

s=(27.95-7h)/3

Then we are told:

5h+4s=23.4, using s found above makes this equation become:

5h+4(27.95-7h)/3=23.4 multiply both sides by 3

15h+4(27.95-7h=70.2 perform indicated multiplication on left side

15h+111.8-28h=70.2 combine like terms on left side

-13h+111.8=70.2 subtract 111.8 from both sides

-13h=-41.6 divide both sides by -13

h=$3.20

5 0

3 years ago