N/32 = 1/16

4(5n -7) =10+2 i need step by step explanation i dont get it

ser-zykov [4K]

Answer:

n=2

Step-by-step explanation:

4(5n-7)=10+2

1) First, distribute (multiply out 4)

20n-28=10+2

2) Combine like terms (add 10 and 2)

20n-28=12

3) Isolate the variable (Add 28 to 12)

20n=40

4) Isolate the variable (Divide by 20)

n=2

7 0

3 years ago

Dada la sucesión an = 1700 + 4,1· n2 + 304,9· n

shutvik [7]

Concluimos que la opción correcta es "Solo II".

Una expresión es una sucesión aritmética si y solo si existe entre dos elementos consecutivos 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 consecutivos 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 consecutivos 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 "Solo II".

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

4 0

3 years ago

How many different digits are needed for the base 6 system?

lorasvet [3.4K]

Answer:

0, 1, 2, 3, 4 and 5

Step-by-step explanation:

In a nutshell, base six is a number system that employs the numbers 0 through 5 instead of 0 through 9 in each digit. As a result, a number that would be stated as 6 in base ten is written as 10. We count one, two, three, four, five, ten, eleven, twelve, thirteen, fourteen, fifteen, twenty, and so on.

6 0

3 years ago

The owner of a new pet store wishes to display tropical fish in display tanks. The above table shows the species that cannot liv

Pepsi [2]

Answer:

The minimum number of different tanks needed to safely house all the fish is:

3 tanks.

Step-by-step explanation:

To identify the minimum number of different tanks, we're gonna concentrate in a fish species, in this case can be the A: as you see in the table, the A species can live with all the fish excepting the F and G, by their side, the F and G can't live together , by this reason, this three species must live in a different tank, in the next form:

Tank 1: A
Tank 2: F
Tank 3: G

Now the B species, it can live with A, F and G, but for this example we can put in the tank 1 (the tank of the A species). The C especies can live with A, F and G, but how we have A and B together, we're gonna put the C especies in the tank 3 (the tank of the G especies). The D species can live with A and G, we're gonna put in the tank 1 because can live with B species too. The E species can live with A and F, we're gonna put in the tank 2 (the tank of the F species) because the E species can't live with D that is in the in the tank 1. Al last, the H species just can live with A, E, F, and H species, by this reason, the only tank that can be put is the tank 2. In this form, the order is the next:

Tank 1: A, B, D.
Tank 2: F, E, H.
Tank 3: G, C.

And the owner of the pet store must buy three different tanks to display these tropical fish.

5 0

3 years ago

What is the inequality to 8 less a number is less than or equal to 17

nlexa [21]

Answer:8>

. .

lol -lol

Step-by-step explanation:

7 0

3 years ago