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o-na [289]
4 years ago
7

A coordinator will select 5 songs from a list of 5 songs to compose an event's musical entertainment lineup. How many different

lineups are possible?
Mathematics
1 answer:
german4 years ago
6 0
The answer is 120 because 5<span> × 4 × 3 × 2 1 = 120</span>
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What package of toothpaste has the lower unit price?
Maurinko [17]

Answer:

6.2 oz is lower

Step-by-step explanation:

6 0
2 years ago
What is the scale factor? Multiple choice
kap26 [50]

Answer:

  • 0.75
  • 3/4
  • post/pre

Step-by-step explanation:

In general, a scale factor is applied to an original (pre) to obtain an image (post). It is the ratio post/pre that expresses the relationship between image dimensions and original dimensions.

Here, that post/pre ratio is 3/4 = 0.75.

7 0
2 years ago
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
3 years ago
Which of the following functions best describes this graph?
Nadusha1986 [10]

Answer:

(A). y = ( x - 3 ) ( x + 4 )

Step-by-step explanation:

5 0
3 years ago
Sam deposits $1,000 into an account that pays 6% simple interest annually. He plans to take the money out after 3.5 years. What
lara31 [8.8K]
Well, the formula for simple interest is 

I=prt

"I" is interest, "p" is the principal, "r" is the rate, and "t" is the time.

If you substitute the numbers, you get

I=1,000(0.06)(3.5)

When you multiply them together, you get 

I=210

So, the simple interest for 3.5 years is $210.

But, in order to get the total balance, you have to add the interest and the principal together.

B=1000+210 \\ B=1210

So, the balance after 3.5 years is $1,210.
5 0
3 years ago
Read 2 more answers
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