Marion read 616 pages in 14 days. If she read the same number of pages each day, how many pages did she read each day?

Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntes

yaroslaw [1]

Answer:

$\frac{y^{2}}{25}-\frac{x^{2}}{3}=1$

Step-by-step explanation:

Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:

centro: (0,0)

focos: $(0,-\sqrt{28}),(0,\sqrt{28})$

eje conjugado = $2\sqrt{3}$

por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:

$\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1$

de los focos podemos obtener que:

$c=\sqrt{28}$

y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:

$b=\sqrt{3}$

podemos utilizar la siguiente fórmula para obtener a:

$c^{2}-a^{2}=b^{2}$

si despejamos a en la ecuación obtenemos lo siguiente:

$a=\sqrt{c^{2}-b^{2}}$

ahora podemos sustituir los valores:

$a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}$

$a=\sqrt{28-3}$

$a=\sqrt{25}$

a=5

así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:

$\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1$

$\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1$

$\frac{y^{2}}{25}+\frac{x^{2}}{3}=1$

si graficamos la hipérbola, queda como en el documento adjunto.

7 0

2 years ago

Dan saved 463 over 12 weeks of summer break.he saaved 297 of it during the last 4 weeks .how much did he save during the first 8

Rainbow [258]

The answer is 166. I subtracted 463 - 297 = 166
he saved 166 during the first 8 weeks!

4 0

3 years ago

Darius buys a bottle of a chemical solution that contains 70% percent alcohol. The bottle contains 500 milliliters of solution.

Serggg [28]

Answer:350

Step-by-step explanation:70x500 divide by 100=350

4 0

2 years ago

=

kenny6666 [7]

The cost to equip all the stations in the chemistry lab is calculated as: $393.75.

<h3>How to Calculate Total Cost?</h3>

In this scenario, we are given the following:

Total number of stations = 21 stations

Length of rubber tubing each of the stations in the chemistry lab needs = 5 feet

Total length of rubber tubing needed for all stations in the chemistry lab = 21 × 5 = 105 feet

Cost of 1 rubber tubing = $6.25 per yard

Convert 5 feet to yard:

1 yard = 3 feet

x yard = 5 feet

x = (5 × 1)/3

x = 5/3 feet.

So, the cost of 1 rubber tubing = $6.25 per 5/3

Cost of total length of tubbing needed = (105 × 6.25)/5/3 = (105 × 6.25) × 3/5

Cost of total length of tubbing needed = $393.75

Therefore, the cost to equip all the stations in the chemistry lab is calculated as: $393.75.

Learn more about the How to Calculate Total Cost on:

brainly.com/question/2021001

#SPJ1

6 0

1 year ago

A bicycle has a listed price of $519.95 before tax. If the sales tax rate is 9.75% , find the total cost of the bicycle with sal

jek_recluse [69]

Youre finding 9.75% of 519 you know its going to be near 50 dollars
your answer is 50.695125
or 50.70$ tax
519.95+50.7 = 570.65$ total

7 0

3 years ago