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Oksi-84 [34.3K]
1 year ago
5

Determine if the given sequence is an arithmetic sequence. If it is, identify the common difference.

Mathematics
1 answer:
lianna [129]1 year ago
6 0

Answer:

Is this an arithmetic sequence?

Yes.

Is there a common difference and if so, what is it?

Yes, there is a common difference : 1

The common difference is 1

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Si a los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectangulo es 440m .Encontrar el
Ivahew [28]

Answer:

El lado del cuadrado inicial es 17 m.

Step-by-step explanation:

El área de un rectángulo se calcula a partir de los dos lados diferentes. Siendo a y b el valor de ambos lados, el área de la figura es el producto de los dos lados contiguos del rectángulo.

A los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectángulo es 440 m². Siendo x el lado del cuadrado inicial, entonces el área del rectángulo se puede expresar como:

(x+3)*(x+5)= 440 m²

Resolviendo:

x*x + 5*x + 3*X + 3*5= 440

x² + 8*x + 15=440

x² + 8*x + 15 -440= 0

x² + 8*x -425= 0

Una función cuadrática de la forma a*x² + b*x + c= 0 se puede resolver mediante la expresión:

\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}

En este caso, a=1, b=8 y c=425. Reemplazando:

\frac{-8+-\sqrt{8^{2}-4*1*(-425) } }{2*1}

Resolviendo:

\frac{-8+\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8+\sqrt{64+1700} }{2*1}= \frac{-8+\sqrt{1764 } }{2}= \frac{-8+42 }{2}= \frac{34}{2} = 17

y

\frac{-8-\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8-\sqrt{64+1700} }{2*1}= \frac{-8-\sqrt{1764 } }{2}= \frac{-8-42 }{2}= \frac{-50}{2} = -25

Como las longitudes no pueden ser negativas, <u><em>el lado del cuadrado inicial es 17 m.</em></u>

3 0
3 years ago
Does anyone know what -8.75x+14=-5.25-3.5 is in math
Bingel [31]

Answer:

x=2.6

Step-by-step explanation:

5 0
3 years ago
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A researcher is interested in determining if a psychic really has power to predict. The researcher takes four cards, each of a d
Firdavs [7]

It can be deduced that the null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

<h3>What is the null hypothesis?</h3>

It should be noted that null and alternate hypothesis are written based on the population parameter.

From the information given, the claim is that they card was identified significantly more than chance would suggest. The proportion of card selected will be:

= 1/4 = 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

Learn more about null hypothesis on:

brainly.com/question/25263462

5 0
2 years ago
I need help also an explanation would be appriciated
givi [52]
72 is the correct answer I think
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A pilot sets a heading of 110
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Please explain the question so we can help you.
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