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anastassius [24]
3 years ago
6

Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes befo

re it can
tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the

total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window

panes is an expression with a whole number exponent.
Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

Answer:

There are 192 window panes in total.

Step-by-step explanation:

Since each window has four window panes across and four window panes down,the number of panes per window is:

w=4*4=4^2

The total number of window panes in 'n' windows is:

P=n*4^2

With n = 12 windows, the expression that describes the total number of window panes is:

P=12*4^2\\P=192\ panes

There are 192 window panes in total.

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Will give brainliest to correct! “Write the equation of the line.”
viktelen [127]

Answer: y=1/3x-2

Step-by-step explanation:

y=Mx+b

1/3 is rise over run

-2 is the y intercept

8 0
3 years ago
11. Shrimp are often found in tropical climates and can be raised on farms or caught in the wild.
seropon [69]

Answer:

3/83

Step-by-step explanation:

Probability: the ways to get the desired result / all of the possible results.

To solve, plug in the values they give.

There are 6 packages of wild-caught shrimp from Honduras. (The desired result)

Now, to find all of the possible results, add the total number of packages together.

27 + 40 + 52 + 13 + 6 + 28 = 166

6/166 = 3/83

Thus, the answer is a 3/83 chance of getting a package of wild-caught shrimp came from Honduras.

7 0
3 years ago
Find a particular solution to the nonhomogeneous differential equation y′′+4y=cos(2x)+sin(2x).
I am Lyosha [343]
Take the homogeneous part and find the roots to the characteristic equation:

y''+4y=0\implies r^2+4=0\implies r=\pm2i

This means the characteristic solution is y_c=C_1\cos2x+C_2\sin2x.

Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form y_p=ax\cos2x+bx\sin2x. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.

With y_1=\cos2x and y_2=\sin2x, you're looking for a particular solution of the form y_p=u_1y_1+u_2y_2. The functions u_i satisfy

u_1=\displaystyle-\int\frac{y_2(\cos2x+\sin2x)}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\int\frac{y_1(\cos2x+\sin2x)}{W(y_1,y_2)}\,\mathrm dx

where W(y_1,y_2) is the Wronskian determinant of the two characteristic solutions.

W(\cos2x,\sin2x)=\begin{bmatrix}\cos2x&\sin2x\\-2\cos2x&2\sin2x\end{vmatrix}=2

So you have

u_1=\displaystyle-\frac12\int(\sin2x(\cos2x+\sin2x))\,\mathrm dx
u_1=-\dfrac x4+\dfrac18\cos^22x+\dfrac1{16}\sin4x

u_2=\displaystyle\frac12\int(\cos2x(\cos2x+\sin2x))\,\mathrm dx
u_2=\dfrac x4-\dfrac18\cos^22x+\dfrac1{16}\sin4x

So you end up with a solution

u_1y_1+u_2y_2=\dfrac18\cos2x-\dfrac14x\cos2x+\dfrac14x\sin2x

but since \cos2x is already accounted for in the characteristic solution, the particular solution is then

y_p=-\dfrac14x\cos2x+\dfrac14x\sin2x

so that the general solution is

y=C_1\cos2x+C_2\sin2x-\dfrac14x\cos2x+\dfrac14x\sin2x
7 0
3 years ago
Simplify (4xy^2)^3(xy)^5<br><br>A. 64x^8y^11<br>B. 64x^15y^30<br>C. 12x^2y^11<br>D. 12x^8y^11<br>​
saveliy_v [14]
I’ll help u in 5 years
8 0
3 years ago
Find the area of the figure
Marianna [84]

Answer:

I wont give you the answer because i know you can do it just multiply all the numbers its easy

Step-by-step explanation:

5 0
3 years ago
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