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2 years ago

How many millilitres are there in two point four litres?

Mathematics

2 answers:

Naily [24]2 years ago

6 0

Answer:

1 litre-1000 ml

so it is24000ml

vlada-n [284]2 years ago

4 0

Answer:

The answer is 2400

Step-by-step explanation:

1l = 1000 mal

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0.6 as a fraction and percent

Ludmilka [50]

6/10 is the fraction and 60 percent

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3 years ago

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Consider the function f(x)equalscosine left parenthesis x squared right parenthesis. a. Differentiate the Taylor series about 0

dybincka [34]

I suppose you mean

$f(x)=\cos(x^2)$

Recall that

$\cos x=\displaystyle\sum_{n=0}^\infty(-1)^n\frac{x^{2n}}{(2n)!}$

which converges everywhere. Then by substitution,

$\cos(x^2)=\displaystyle\sum_{n=0}^\infty(-1)^n\frac{(x^2)^{2n}}{(2n)!}=\sum_{n=0}^\infty(-1)^n\frac{x^{4n}}{(2n)!}$

which also converges everywhere (and we can confirm this via the ratio test, for instance).

a. Differentiating the Taylor series gives

$f'(x)=\displaystyle4\sum_{n=1}^\infty(-1)^n\frac{nx^{4n-1}}{(2n)!}$

(starting at $n=1$ because the summand is 0 when $n=0$ )

b. Naturally, the differentiated series represents

$f'(x)=-2x\sin(x^2)$

To see this, recalling the series for $\sin x$ , we know

$\sin(x^2)=\displaystyle\sum_{n=0}^\infty(-1)^{n-1}\frac{x^{4n+2}}{(2n+1)!}$

Multiplying by $-2x$ gives

$-x\sin(x^2)=\displaystyle2x\sum_{n=0}^\infty(-1)^n\frac{x^{4n}}{(2n+1)!}$

and from here,

$-2x\sin(x^2)=\displaystyle 2x\sum_{n=0}^\infty(-1)^n\frac{2nx^{4n}}{(2n)(2n+1)!}$

$-2x\sin(x^2)=\displaystyle 4x\sum_{n=0}^\infty(-1)^n\frac{nx^{4n}}{(2n)!}=f'(x)$

c. This series also converges everywhere. By the ratio test, the series converges if

$\displaystyle\lim_{n\to\infty}\left|\frac{(-1)^{n+1}\frac{(n+1)x^{4(n+1)}}{(2(n+1))!}}{(-1)^n\frac{nx^{4n}}{(2n)!}}\right|=|x|\lim_{n\to\infty}\frac{\frac{n+1}{(2n+2)!}}{\frac n{(2n)!}}=|x|\lim_{n\to\infty}\frac{n+1}{n(2n+2)(2n+1)}$

The limit is 0, so any choice of $x$ satisfies the convergence condition.

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4 years ago

Use mental math to find the amount of a 12% shipping fee for an item that costs $250. Explain your steps.

makvit [3.9K]

The shipping fee is $30
1. 12%×250
= 250×12/100
= 2.5 ×12
= 5/2×12
=60/2
=30

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3 years ago

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The table shows the balances for 3 bank accounts.

luda_lava [24]

I don’t get what the question?

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3 years ago

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The first tap can fill the pool in 10 hours. When the second tap was opened, the empty pool was filled in 6 hours. How long will

NARA [144]

Answer: $15\ hours$

Step-by-step explanation:

We can use the following formula to solve this exercise:

$\frac{T}{A}+\frac{T}{B}=1$

In this case "T" is the time in hours it takes to both taps fill the pool working together, "A" is the time in hours for the first tap filling the pool alone an "B" is the time in hours for the second tap filling the pool alone.

We can identify that:

$T=6\\\\A=10$

Then, we must subsitute the known values into the formula:

$\frac{6}{10}+\frac{6}{B}=1$

And finally we must solve for "B".

Then we get:

$\frac{6}{10}+\frac{6}{B}=1\\\\\frac{6}{B}=1-\frac{6}{10}\\\\\frac{6}{B}=0.4\\\\6=0.4B\\\\\frac{6}{0.4}=B\\\\B=15$

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3 years ago

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