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ValentinkaMS [17]

3 years ago

7

923billion divided by 62.8million equals?

1 answer:

lbvjy [14]3 years ago

6 0

(923 x 10^9)/(62.8 x 10^6)=
14,697.45

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-9/8 = v - 1/2<br><br> V = ????

Arte-miy333 [17]

Answer:

v = − 5 /8

Step-by-step explanation:

Solve for v by simplifying both sides of the equation, then isolating the variable.

3 0

3 years ago

Read 2 more answers

Consider the differential equation: (y^2+2*x)dx+(2*x*y-1)dy = 0. (a) show that the equation is exact by evaluating (\partial m)/

ruslelena [56]

The given ODE

$\underbrace{(y^2+2x)}_M\,\mathrm dx+\underbrace{(2xy-1)}_N\,\mathrm dy=0$

is exact if $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ . It so happens that we have $\frac{\partial M}{\partial y}=2y=\frac{\partial N}{\partial x}$ , so it is indeed exact. For such an ODE, we're looking for a solution of the form $\Psi(x,y)=C$ , for which the differential is

$\mathrm d\Psi=\dfrac{\partial\Psi}{\partial x}\,\mathrm dx+\dfrac{\partial\Psi}{\partial y}\,\mathrm dy=0$

so we have the following system of PDEs that allow us to solve for $\Psi$ :

$\dfrac{\partial\Psi}{\partial x}=M=y^2+2x$

$\dfrac{\partial\Psi}{\partial y}=N=2xy-1$

In the first PDE, we can integrate both sides with respect to $x$ and recover $\Psi$ :

$\displaystyle\int\frac{\partial\Psi}{\partial x}\,\mathrm dx=\int(y^2+2x)\,\mathrm dx$

$\implies\Psi(x,y)=xy^2+x^2+f(y)$

Then differentiating this with respect to $y$ returns $N$ :

$\dfrac{\partial\Psi}{\partial y}=2xy+\dfrac{\mathrm df}{\mathrm dy}=2xy-1$

$\implies\dfrac{\mathrm df}{\mathrm dy}=-1$

$\implies f(y)=-y+C$

So the general solution to the ODE is

$\Psi(x,y)=xy^2+x^2-y+C=C$

or simply

$xy^2+x^2-y=C$

4 0

3 years ago

Cody was 165 cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year

zhenek [66]

Solution:

Let X = height of Cody on the first day of school last year

Given: Y= height of Cody on the first day of school year = 165 cm

10%(X)+X=Y

.10(X)+X=165

1.10X=165

X=165/1.1

<span>X= 150 cm = height of Cody on the first day of school last year</span>

3 0

3 years ago

What is the value of x of MNL??

Lynna [10]

Answer:

use the theorem of pythagoras

LM=MN²+LN²

9²=X²+6²

81=X²+36

-x²=36-81

×²=36+81

×²=117

x=10

4 0

3 years ago

The table shows a power of exponents.

MaRussiya [10]

C. Divide the previous value by 5

8 0

4 years ago

Read 2 more answers