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makkiz [27]
3 years ago
8

what is the width of a rectangular prism when the surface area is 904 square feet, and it has a height of 10 feet and a length o

f 14 feet?
Mathematics
1 answer:
k0ka [10]3 years ago
7 0

Answer:

The answer

Step-by-step explanation:

the width of a rectangular prism which has a height of 10 feet and a length of 14 feet should be 140 square feet

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SIMPLIFY:
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3 years ago
Dada la sucesión an = 1700 + 4,1· n2 + 304,9· n
shutvik [7]

Concluimos que la opción correcta es <em>"Solo II"</em>.

Una expresión es una sucesión aritmética si y solo si existe entre dos elementos <em>consecutivos</em> cualesquiera de la serie la misma diferencia. La sucesión aritmética es definida por una expresión de la forma:

a_{n} = a + b\cdot n, n\in \mathbb{N} (1)

Donde a,b son coeficientes de la sucesión.

Asimismo, una expresión es una sucesión geométrica si y solo si entre dos elementos <em>consecutivos</em> cualesquiera de la serie existe la misma razón. La sucesión geométrica es definida por una expresión de la forma:

a_{n} = a\cdot r^{b\cdot n}, n\in \mathbb{N} (2)

Donde a, b, r son coeficientes de la sucesión.

Por último, una expresión es una sucesión monótona creciente si dados dos elementos <em>consecutivos</em> de una serie, el elemento posterior es siempre mayor que el elemento anterior. Matemáticamente, debe satisfacerse la siguiente condición:

\frac{a_{n+1}}{a_{n}} > 1, n\in \mathbb{N} (3)

Esta claro por inspección directa que la sucesión dada no es aritmética ni geométrica y cabe comprobar si es monótona creciente. Valiéndonos de (3), realizamos las operaciones algebraicas pertinentes:

r = \frac{1700 + 4,1\cdot (n+1)^{2}+304,9\cdot (n+1)}{1700 + 4,1\cdot n^{2}+304,9\cdot n}

r = \frac{1700+4,1\cdot (n^{2}+2\cdot n +1) +304,9\cdot (n+1)}{1700 + 4.1\cdot n^{2}+304,9\cdot n}

r = \frac{1700+4,1\cdot n^{2}+304,9\cdot n+4,1\dot (2\cdot n +1) +304.9}{1700+4,1\cdot n^{2}+304,9\cdot n}

r = 1 + \frac{8,2\cdot n +309}{1700 + 4,1\cdot n^{2}+304,9\cdot n}

Como puede apreciarse, r > 1. Por tanto, la sucesión es monótona y creciente.

En consecuencia, concluimos que la opción correcta es <em>"Solo II"</em>.

Invitamos cordialmente a leer esta pregunta sobre sucesiones: brainly.com/question/21709418

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3 years ago
What is the simplified expression for 6 (2 (y x))? 6 y 12 x 12 y 12 x 12 y 8 x 8 y 8 x
stellarik [79]

The simplified expression for 6(2( y + x)) is 12y + 12x.

Accordin to the given question.

We have an expression

6(2( y + x))

Therefore,

The simplified expression for 6(2( y + x)) is given by

6(2(y + x))

= 6(2y + 2x)          (by distributive law)

= 12y + 12x              (by distributive law)

Hence, the simplified expression for 6(2( y + x)) is 12y + 12x.

Find out more information about simplified expression here:

brainly.com/question/18077352

#SPJ4

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Due in 30 min plz Help! Order the Sides from LEAST TO GREATEST
Alona [7]

I believe the answer is BC, AB, AC

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3 years ago
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