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3 years ago

Its a fraction division problem its 10over 8 divided by 1 over 6

1 answer:

5 0

In 10/8 divided by 1/6, you have to do the reciprocal of 1/6 and the dividing symbol... so now it should look like 10/8 times 6/1 . Then you just multiply!

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Please help i’m confused

Pavel [41]

Answer:

The answer is A. t = 0.4n

Step-by-step explanation:

See how on the graph, when n is 2, t is around 1? We just plug in 2 into n into the equation, t=0.4n. 0.4 times 2 is 0.8, so t=0.8. 0.8 is around 1, so a is right. If we tried the same thing with one of the other choices, like B. t=2.5n, then plugging in 2 into n would give us 2 times 2.5, which is 5. 5 is nowhere around 1, making it wrong.

6 0

2 years ago

What is √ 48 in simplified radical form? 2 √ 12 2 12 4 √ 6 4 6 4 √ 3 4 3 12 √ 2

Vinvika [58]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve ~

$\sqrt{48}$

$\sqrt{2 \times 2 \times 2 \times 2 \times 3}$

$(2 \times 2) \sqrt{3}$

$4 \sqrt{3}$

7 0

2 years ago

Read 2 more answers

A total of 802 tickets were sold for the school play. They were either adult tickets or student tickets. There were 52 more stud

luda_lava [24]

Answer:

Adults. 349

Student-. 453

Step-by-step explanation:

802÷2=401

401-52=349=Adult tickets

802-349=453=Student tickets

7 0

3 years ago

Read 2 more answers

Translate each verbal phrase into an algebraic expression:

tester [92]

Answer:

1) N+6<2

2) Xn>12

3) P≥15

4) R times 11≥33

5) 5-N≥18

I think this is the answer :)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Use the power series method to solve the given initial-value problem. (Format your final answer as an elementary function.)

olya-2409 [2.1K]

You're looking for a solution of the form

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

Differentiating twice yields

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

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

Substitute these series into the DE:

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

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

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

Two of these series start with a linear term, while the other two start with a constant. Remove the constant terms of the latter two series, then condense the remaining series into one:

$\displaystyle a_0-2a_2 + \sum_{n=1}^\infty \bigg(n(n+1)a_{n+1}-(n+1)(n+2)a_{n+2}-na_n+a_n\bigg) x^n = 0$

which indicates that the coefficients in the series solution are governed by the recurrence,

$\begin{cases}y(0)=a_0 = -7\\y'(0)=a_1 = 3\\(n+1)(n+2)a_{n+2}-n(n+1)a_{n+1}+(n-1)a_n=0&\text{for }n\ge0\end{cases}$

Use the recurrence to get the first few coefficients:

$\{a_n\}_{n\ge0} = \left\{-7,3,-\dfrac72,-\dfrac76,-\dfrac7{24},-\dfrac7{120},\ldots\right\}$

You might recognize that each coefficient in the n-th position of the list (starting at n = 0) involving a factor of -7 has a denominator resembling a factorial. Indeed,

-7 = -7/0!

-7/2 = -7/2!

-7/6 = -7/3!

and so on, with only the coefficient in the n = 1 position being the odd one out. So we have

$\displaystyle y = \sum_{n=0}^\infty a_n x^n \\\\ y = -\frac7{0!} + 3x - \frac7{2!}x^2 - \frac7{3!}x^3 - \frac7{4!}x^4 + \cdots$

which looks a lot like the power series expansion for -7eˣ.

Fortunately, we can rewrite the linear term as

3x = 10x - 7x = 10x - 7/1! x

and in doing so, we can condense this solution to

$\displaystyle y = 10x -\frac7{0!} - \frac7{1!}x - \frac7{2!}x^2 - \frac7{3!}x^3 - \frac7{4!}x^4 + \cdots \\\\ \boxed{y = 10x - 7e^x}$

Just to confirm this solution is valid: we have

y = 10x - 7eˣ ==> y (0) = 0 - 7 = -7

y' = 10 - 7eˣ ==> y' (0) = 10 - 7 = 3

y'' = -7eˣ

and substituting into the DE gives

-7eˣ (x - 1) - x (10 - 7eˣ ) + (10x - 7eˣ ) = 0

as required.

8 0

3 years ago