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Andrei [34K]
3 years ago
8

Can anyone answer this question with showing work 532.6 • 8.53

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

The answer is: 4543.078

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Helpppp plsssssssssssssss
Lemur [1.5K]

Answer: Section B

Step-by-step explanation: A rhombus is a parallelogram.

6 0
3 years ago
An awards dinner costs $225 plus $5 for each person making reservations the total bill is $735 how many people attended the dinn
suter [353]

The number of people attended dinner is 102.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.

It is given in the question that

An awards dinner costs $225 plus $5 for each person making reservations

the total bill is $735

people attended the dinner = ?

Let x number of people attended the dinner

$225 + $5 * x = $735

5x = 735-225

5x = 510

x = 102

Therefore , 102 people attended the dinner.

To know more about Equation

brainly.com/question/10413253

#SPJ1

3 0
1 year ago
Determine the values of the constants r and s such that i(x, y) = x rys is an integrating factor for the given differential equa
garri49 [273]
\underbrace{y(7xy^2+6)}_{M(x,y)}\,\mathrm dx+\underbrace{x(xy^2-1)}_{N(x,y)}\,\mathrm dy=0

For the ODE to be exact, we require that M_y=N_x, which we'll verify is not the case here.

M_y=21xy^2+6
N_x=2xy^2-1

So we distribute an integrating factor i(x,y) across both sides of the ODE to get

iM\,\mathrm dx+iN\,\mathrm dy=0

Now for the ODE to be exact, we require (iM)_y=(iN)_x, which in turn means

i_yM+iM_y=i_xN+iN_x\implies i(M_y-N_x)=i_xN-i_yM

Suppose i(x,y)=x^ry^s. Then substituting everything into the PDE above, we have

x^ry^s(19xy^2+7)=rx^{r-1}y^s(x^2y^2-x)-sx^ry^{s-1}(7xy^3+6y)
19x^{r+1}y^{s+2}+7x^ry^s=rx^{r+1}y^{s+2}-rx^ry^s-7sx^{r+1}y^{s+2}-6sx^ry^s
19x^{r+1}y^{s+2}+7x^ry^s=(r-7s)x^{r+1}y^{s+2}-(r+6s)x^ry^s
\implies\begin{cases}r-7s=19\\r+6s=-7\end{cases}\implies r=5,s=-2

so that our integrating factor is i(x,y)=x^5y^{-2}. Our ODE is now

(7x^6y+6x^5y^{-1})\,\mathrm dx+(x^7-x^6y^{-2})\,\mathrm dy=0

Renaming M(x,y) and N(x,y) to our current coefficients, we end up with partial derivatives

M_y=7x^6-6x^5y^{-2}
N_x=7x^6-6x^5y^{-2}

as desired, so our new ODE is indeed exact.

Next, we're looking for a solution of the form \Psi(x,y)=C. By the chain rule, we have

\Psi_x=7x^6y+6x^5y^{-1}\implies\Psi=x^7y+x^6y^{-1}+f(y)

Differentiating with respect to y yields

\Psi_y=x^7-x^6y^{-2}=x^7-x^6y^{-2}+\dfrac{\mathrm df}{\mathrm dy}
\implies\dfrac{\mathrm df}{\mathrm dy}=0\implies f(y)=C

Thus the solution to the ODE is

\Psi(x,y)=x^7y+x^6y^{-1}=C
4 0
3 years ago
Use a calculator to find decimal estimates to two decimal places (hundredths) for the following irrational number: √19​
lara [203]

Answer:

The answer is 4.35, rounded two decimals to hundredths place.

<em>some text here to make the answer slightly longer for some good reasons. yep.</em>

6 0
2 years ago
It tales 1/2 of a box of nails to build a bird house. if hoy walter to build 5 bird houses, how many boxes would you need
Vika [28.1K]
1/2 * 5 = 2.5.
You would need 2.5 boxes to build 5 birdhouses.
4 0
3 years ago
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