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2 years ago

(n+t) divided by 4 i need the answer please

Mathematics

2 answers:

IRINA_888 [86]2 years ago

8 0

Answer:

$\frac{n+t}{4}$

Step-by-step explanation:

(n+t) divided by 4

The equation would be $\frac{n+t}{4}$

Hope this helps

Vladimir79 [104]2 years ago

8 0

Answer:

(n+t)/4

Step-by-step explanation:

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Salsk061 [2.6K]

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Step-by-step explanation:

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3 years ago

Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

koban [17]

$\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}$

Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

$r^2-16=0$

with roots $r=\pm4$ , admitting the characteristic solution

$y_c=C_1e^{4t}+C_2e^{-4t}$

From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

$y'(0)=16\implies-16=4C_1-4C_2$

$\implies C_1=\dfrac12,C_2=\dfrac92$

So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

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3 years ago

Write an expression so that the product of a whole number and a decimal is 0.32.

lord [1]

A possible answer would be 32*0.01

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3 years ago

15x+12=45+4x<br> whats x?

saul85 [17]

<span>15x+12=45+4x </span>⇒15x - 4x = 45 - 12 ⇒ 11x = 33 ⇒ x = 3

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3 years ago

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Svetlanka [38]

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3 years ago