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2 years ago

What fraction of 2 minutes is 6seconds?

Mathematics

2 answers:

scZoUnD [109]2 years ago

6 0

Answer:

1/20; 0.05; 5%

Step-by-step explanation:

Well, 2 minutes is 120 seconds, 6/120 simplified is 1/20, and decimal form would be 0.05, which is 5%

Inga [223]2 years ago

5 0

Answer:

1/20 of 2 minutes = 6 seconds

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2 years ago

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3 years ago

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

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7 0

2 years ago

In a rock-paper-scissors game, a winner gets 5 points and a loser gets 2 points. After a man played this game 20 times, his tota

aleksandr82 [10.1K]

Answer:

The man wins 9 times and looses 11 times in the rock - paper-scissor game.

Step-by-step explanation:

Let us assume that in the game:

Number of times man wins the games = x times

Number of times man loses the games = y times

Total number of attempts = 20

Points after winning = 5

Points after loosing = 2

Now, according to the question:

x + y =20

and 5 x + 2 y = 67

Now, from (1) y = 20-x, put in (2)

5x + 2y = 67 ⇒ 5x + 2(20 -x) = 67

or, 5x -2x = 67 - 40

or, 3x = 27

⇒ x = 27/3 = 9

then y = 20 - x = 20 - 9 = 11

⇒ x = 9 and y = 11 is the solution of the given system.

Hence, the man wins 9 times and looses 11 times in the rock - paper-scissor game.

3 0

2 years ago

Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors. How much of

Y_Kistochka [10]

Answer:

1/2

Step-by-step explanation:

Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors.

This is calculated as:

1/2 × 5/6

= 5/12

Hence, he took 5/12 of the sand

How much of the original sand which did pete take to his neighbors.

Let the original sand be represented as 1

Hence:

5/6 = 5/12 sand

1 = x

Cross Multiply

5/6x = 1 × 5/12

x = 5/12 ÷ 5/6

x = 5/12 × 6/5

x = 1/2

Therefore, pete took 1/2 of the original sand to his neighbors.

3 0

2 years ago

What fraction of 2 minutes is 6seconds?​

What fraction of 2 minutes is 6seconds?