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3 years ago

The population of a village is in the following ratios.

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

Answer:

13:7

Step-by-step explanation:

We see that the ratio from women:children is 13:4.

Therefore, the number of women is 13.

In the ratio comparing men to children we see that it is 7:3.

Therefore, the number of men is 7.

Now we need to compare the number of women to the number of men which is 13:7.

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1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

3 years ago

assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions

AfilCa [17]

Given:

Total number of questions = 6

Choice for each question (in MCQ) = 4

Assuming that no questions are left unanswered.

To find:

The total number ways to answer the quiz, assuming that no questions are left unanswered.

Solution:

Here, Number of ways to answer each question = 4

To find the total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.

Total number of ways to answer six-question quiz with 4-choice multiple choice questions is

$4\times 4\times 4\times 4\times 4\times 4=4096$

Therefore, the required number of ways is 4096.

3 0

3 years ago

In a town there are 1,050 people who can vote. There were two candidates in the election for the town’s mayor. The results of th

kramer

Answer: Not sure, but Ill go with C.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old

nataly862011 [7]

Answer:

Age of Mark $=10$ years

Age of Mark's dad $=30$ years

Age of Mark's sister $=8$ years

Step-by-step explanation:

Let age of Mark be $x$ years.

Mark's dad is three times older than Mark

Age of her Mark's dad $=3x$

Mark's sister is 2 years younger than Mark

Age of Mark's sister $=(x-2)$ years

The sum of their ages is 48.

$x+3x+x-2=48\\5x-2=48\\5x=50\\x=10$

Age of Mark $=x=10$ years

Age of Mark's dad $=3x=3(10)=30$ years

Age of Mark's sister $=x-2=10-2=8$ years

8 0

3 years ago

T + 15 equals or greater than -2

kiruha [24]

+/- 13 I believe is the correct answer

5 0

3 years ago