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3 years ago

Suppose the circumference of a circle is 3π, what is its diameter?

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

4 0

Circumference of a circle= $\pi(D)=3D
divide both sides by D
so, \pi =3
$

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What value does f(x,y) = (x + 2y)/(x -2y) approach as (x,y) approaches (0,0) along the x-axis?

WARRIOR [948]

Answer:

B. f(x,y) has no limit and does not approach infinity or minus infinity as (x,y) approaches (0,0) along the x-axis.

Step-by-step explanation:

Given the function

f(x,y) = (x + 2y)/(x -2y)

We can apply

y = mx

then

lim (x,y) → (0, 0) f(x,y) = lim (x,mx) → (0, 0) f(x, mx)

⇒ lim (x → 0) (x + 2mx)/(x -2mx) = lim (x → 0) x(1+2m)/(x*(1-2m)) = (1+2m)/(1-2m)

y = x²

then

lim (x,y) → (0, 0) f(x,y) = lim (x → 0) f(x)

⇒ lim (x → 0) (x + 2x²)/(x -2x²) = (1 + 4(0))/(1 - 4(0)) = 1

y = x³

then

lim (x,y) → (0, 0) f(x,y) = lim (x → 0) f(x)

⇒ lim (x → 0) (x + 2x³)/(x -2x³) = (1 + 6(0)²)/(1 - 6(0)²) = 1

We applied L'Hopital's rule to solve the limits.

Then, we can say that f(x,y) has no limit since the limits obtained are different.

4 0

3 years ago

I’ll give Brainly! What is the solution to x - 5 = 27?<br> A) 135 <br> B) 22 <br> C) 27 <br> D) 32

Eddi Din [679]

Answer: D) 32

Step-by-step explanation:

1. You have to add 5 on both side which you get x=32

2. x=32 which means 32 is the # for x

5 0

3 years ago

Tanzania [10]

Answer:

$45.50

Step-by-step explanation:

1. $65.00 ÷ 100 = 0.65

2. 0.65 x 30 = $19.50

3. $65.00 - $19.50 = $45.50

4 0

2 years ago

One integer is 4 times another. If the product of the two integers is 16, then find the integers.

natulia [17]

The integer is positive 4.
B/c-
4 • 4 = 16

6 0

2 years ago

Samuel, Martín y Santiago salen a montar bicicleta de Cali hacia Palmira. La distancia entre Cali y Palmira es de 29.3 KM. En la

myrzilka [38]

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

$\frac{178}{8}\,km = 22.25\,km$

Martin

$21\,km + \frac{3}{4}\,km = 21.75\,km$

Santiago

$21\,km + \frac{5}{12}\,km = 21.417\,km$

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

$x = 29.3\,km -22.25\,km$

$x = 7.05\,km$

Martin

$x = 29.3\,km - 21.75\,km$

$x = 7.55\,cm$

Santiago

$x = 29.3\,km - 21.417\,km$

$x = 7.883\,km$

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

$\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}$

$\bar x = 21.889\,km$

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

$x = 21.75\,km - 21.417\,km$

$x = 0.333\,km$

Martín recorrió 0.333 kilómetros más que Santiago.

3 0

3 years ago