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3 years ago

What is the definition of prime

Mathematics

2 answers:

just olya [345]3 years ago

6 0

Answer:

One of the following:

-of first importance; main.

-of the best possible quality; excellent.

-a state or time of greatest strength, vigor, or success in a person's life.

-a number that can only be divided by itself and 1

Step-by-step explanation:

rosijanka [135]3 years ago

4 0

Prime is a number evenly divisible by itself and one
for example: 2, 3, 5, 7, & 11

hope this helps!!!

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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

Bill Mason is considering two job offers. Job 1 pays a salary of $41,300 with $5,525 of nontaxable employee benefits. Job 2 pays

kupik [55]

Answer:

To Calculate the monetary value of both jobs, you would have to calculate the percent tax rate of each salary and add the nontaxable benefit after taxes.

Step-by-step explanation:

Reminder: since the 25% is a tax rate which we need to subtract from the salary, 75% would be what is left over from the salary after taxes.

Job 1: Job 1 pays a salary of $41,000 and $5,525 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

$(41,000 * 0.75) + 5,525 = 36,275$

So the monetary value of Job 1 would be $36,275

Job 2: Job 2 pays a salary of $40,400 and $7,125 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

$(40,400*0.75) + 7,125 = 37,425$

So the monetary value of Job 2 would be $37,425

3 0

3 years ago

Three friends go grocery shopping together, and each buys the same kind of

dalvyx [7]

Answer:

Step-by-step explanation:

Because if you plug those numbers into the graph, only C and D fit. Now we have to look at the unit price. If LaMar buys 2 lbs and pays 3.00 dollars, we know that the unit price is 3/2=1.5 dollars per pound. You could also check with the other peoples. $7.5/5lbs=1.5 dollars. $4.5/3lbs=$1.5

3 0

3 years ago

Which of the following is not one of the three ways to express ratio A 3/4 B 3:4 C 3 of 4 D 3 to 4

serious [3.7K]

3 of 4 is not the correct way of writing a ratio.

7 0

3 years ago

Read 2 more answers

A window shaped like a parallelogram has an area of 62 1/3 square feet. The height of the window is 7 1/4 feet. How long is the

Sindrei [870]

Answer:

b ≈ 8.60 ft

Step-by-step explanation:

The formula of a parallelogram is

A = bh

Divide each side by h

b = A/h

b = 62⅓/7¼

b = (187/3) ÷ (29/4)

b = 187/3 × 4/29

b = 748/87

b = 8⁵²/₈₇ ft

b ≈ 8.60 ft

The base of the window is about 8.60 ft long.

3 0

3 years ago