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3 years ago

Can you please help!

Mathematics

1 answer:

Karolina [17]3 years ago

5 0

2.4, 2, 0, 3/8, -1/5

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A car needs 54 liter petrol for running 648km how many km will it go with 10 liter petrol

AlexFokin [52]

Answer:

The answer is 120km.

Step-by-step explanation:

We can set up the proportion that for every 54 liters, the car will go 648km.

This means that 54/648 = petrol/distance.

If we substitute 10 for petrol, we get the equation:

54/648 = 10/x.

We can cross multiply and solve that x = 120.

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4 years ago

Which inequality is shown in this graph?

ICE Princess25 [194]

The inequality in this graph is B

8 0

3 years ago

Given h(x) = 5x − 1, find x if h(x) = 9

mart [117]

I believe x=15. Because you’ll just plug them in

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3 years ago

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What is 45% of 649926391

MArishka [77]

Answer:

292,466,875.95

Step-by-step explanation:

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3 years ago

Find the limit of the following sequence or determine that the limit does not exist. {5n/Squareroot 81 n^2 + 5} Select the corre

elixir [45]

Answer:

C. The sequence is monotonic and bounded. The limit is 5/9

Step-by-step explanation:

For this case we have the following n term:

$a_n = \frac{5n}{\sqrt{81n^2 +5}}$

And we can find the limit when x tend to infinity:

$\lim_{n\to\infty} \frac{5n}{\sqrt{81n^2 +5}}$

And we got this:

$5 \lim_{n\to\infty} \frac{n}{\sqrt{81n^2 +5}}$

Now we can divide by n the numerator and denominator like this:

$5 \lim_{n\to\infty} \frac{1}{\sqrt{81 +\frac{5}{n^2}}}$

And now we can apply properties of limits and we got this:

$5 \frac{\lim_{n\to\infty} 1}{\lim_{n\to\infty} \sqrt{81 +\frac{5}{n^2}}}$

And we got:

$5 \frac{1}{9}=\frac{5}{9}$

So then our sequence is bounded by $\frac{5}{9}$

By definition a monotonic sequence is a "sequence that is always increasing or decreasing".

For this case if we find:

$a_1 = \frac{5}{\sqrt{86}}$

$a_2 = \frac{10}{\sqrt{329}}$

We see that $a_2 >a_1$ and in general we see that $a_n >a_{n-1}$ . So then the ebst answer for this case is:

C. The sequence is monotonic and bounded. The limit is 5/9

7 0

4 years ago