If the area of a circle measures 25π what is the circumference of the circle in terms of π

Use undetermined coefficients to find the particular solution to 7t + 5=y''+y'-4y У, (t) - Preview Get help: Video Points possib

lions [1.4K]

Suppose $y_p=a_0+a_1t$ is a solution to the ODE. Then ${y_p}'=a_1$ and ${y_p}''=0$ , and substituting these into the ODE gives

$a_1-4(a_0+a_1t)=7t+5\implies\begin{cases}-4a_1=7\\-4a_0+a_1=5\end{cases}\implies a_0=-\dfrac{27}{16},a_1=-\dfrac74$

Then the particular solution to the ODE is

$y_p=-\dfrac{27}{16}-\dfrac74t$

5 0

3 years ago

Help anyone 8th grade math?

Kruka [31]

Answer: x = 1

Step-by-step explanation:

2.8 + 2x = 0.6 x 8

2.8 x + 2x = 4.8

2x = 4.8 - 2.8 (subtract 2.8 on both sides)

2x = 2

x = 1 (divide 2 on both sides)

Hope this helps

7 0

3 years ago

Read 2 more answers

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

In Mrs. Marsh's algebra class, 30 of the 36 students took the Chapter 4 test, and their mean score was $72 \%$. The next day the

hammer [34]

The new class mean of the given information in percent = 73%

<h3>What is algebra?</h3>

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

<h3>According to the information :</h3>

A total of 2160 points would be earned if 30 students obtained an average grade of 72.

= 30 x 72

= 2160

If six students had an average of 78, their total points would be 6 x 78, or 468.

= 6 x 78

= 468

points are the result of adding the points from both groups.

2160 + 468

= 2628

An average of 73 is obtained by dividing 2628 by 36.

It represents a 73% proportion.

To know more about Algebra expression visit:

brainly.com/question/14083225

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I understand that the question you are looking for is:

In Mrs. Marsh's algebra class, 30 of the 36 students took the Chapter 4 test, and their mean score was $72 \%$. The next day the other six students took the test and their mean score was $78 \%$. What is the new class mean? Express your answer as a percent.

7 0

2 years ago

Which of the following is an appropriate line of fit for the data?

Bond [772]

Answer:

123idbd8dbokeofyccbdid12332

6 0

3 years ago

If the area of a circle measures 25π what is the circumference of the circle in terms of π​

If the area of a circle measures 25π what is the circumference of the circle in terms of π