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2 years ago

The first term in a geometric sequence is 12. The common ratio is 3. Which term is 516,560,652?

Mathematics

1 answer:

STALIN [3.7K]2 years ago

6 0

Its 17 th term. Hope it helps

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Write 7.12 as a mixed number in simplest form.

andrezito [222]

Answer:

7 3/25

Step-by-step explanation:

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2 years ago

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A phone has 5/8 of its battery charge left. If the battery loses 3/8 of its full charge every hour, how many hours will the batt

Marianna [84]

Answer:

An hour and 45 minutes

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2 years ago

Need help asap!! Thank u

fiasKO [112]

Step-by-step explanation:

There is 10 questions which in this case are the trials.

We know we can either get a question right or wrong so the two outcomes are right or wrong.

The probability that a student choose the right outcome is 1/4. since there is one right answer out of 4 chocies.choices.

Yes, the trials likelihood outcome of each outcome is the same. so it's independent

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2 years ago

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Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

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3 years ago

How to draw the construction lines?

ddd [48]

Use a tool called a protractor

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3 years ago