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3 years ago

5 lb. 10 oz. − 3 lb. 1 oz. = lb. oz.

Mathematics

2 answers:

FromTheMoon [43]3 years ago

7 0

Answer: 2lb. 9oz.

Step-by-step explanation: 5lb. - 3lb. is 2lb.

10oz. - 1oz. is 9oz.

Darina [25.2K]3 years ago

3 0

Answer:

2 lbs 9 oz

Step-by-step explanation:

Lets line up the ounces and pounds and subtract

5 lb. 10 oz.

− 3 lb. 1 oz.

------------------------

2 lbs 9 oz

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there are two factors of -36 such thatone factor is 11 less than half of the other factor. choose all the pairs of these factors

aleksandrvk [35]

Let one factor be x. Second factor is 11 less than half of this factor, so second factor will be (0.5x - 11). The product of these two factors is -36.

So,

$-36=x(0.5x-11) \\ \\ 
-36=0.5 x^{2} -11x \\ \\ 
-72= x^{2} -22x \\ \\ 
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x(x-18)-4(x-18)=0 \\ \\ 
(x-4)(x-18)=0 \\ \\ 
x=4, x=18$

If,
x = 4, the other factor will be = 0.5(4) - 11 = - 9
If,
x = 18, the other factor will be = 0.5(18) - 11 = -2

So, there are two possible set of factors.
1) 4 and -9
2) -2 and 18

From these -2 and 18 is available in the options. So this is the correct answer.

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4 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

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

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

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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pentagon [3]

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Natasha2012 [34]

Answer:

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