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WINSTONCH [101]
2 years ago
9

The net below depicts a triangular prism. What is the total surface area of the prism?

Mathematics
2 answers:
Illusion [34]2 years ago
8 0

Answer:

c

Step-by-step explanation:

maria [59]2 years ago
5 0

Answer:

312

Step-by-step explanation:

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When rounded to the ten thousands place, which of the numbers below round to 230,000
Lemur [1.5K]

Answer:

Here are some correct options:

225,891

234,567

232,987

Step-by-step explanation:

5 0
3 years ago
Find a particular solution to the nonhomogeneous differential equation y'' + 4 y = cos(2x) + sin(2x).
alukav5142 [94]
The characteristic solution follows from solving the characteristic equation,

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

so that

y_c=C_1\cos2x+C_2\sin2x

A guess for the particular solution may be a\cos2x+b\sin2x, but this is already contained within the characteristic solution. We require a set of linearly independent solutions, so we can look to

y_p=ax\cos2x+bx\sin2x

which has second derivative

{y_p}''=(-4ax+4b)\cos2x+(-4bx-4a)\sin2x

Substituting into the ODE, you have

y''+4y=\cos2x+\sin2x
\implies4b\cos2x-4a\sin2x=\cos2x+\sin2x
\implies\begin{cases}4b=1\\-4a=1\end{cases}\implies a=-\dfrac14,b=\dfrac14

Therefore the particular solution is

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

Note that you could have made a more precise guess of

y_p=(a_1x+a_0)\cos2x+(b_1x+b_0)\sin2x

but, of course, any solution of the form a_0\cos2x+b_0\sin2x is already accounted for within y_c.
6 0
3 years ago
The table shows the linear relationship in a tank and time.
cluponka [151]
y = mx + b

y = slope (x) + y - intercept

To find the slope we need to find out how much the x's and y's increase or decrease...

To find the y - intercept if any, simply​ look for coordinates ( 0 , y ) or 0 and a #.

~~

In this case, as time passes, the water level decreases therefore we have a negative slope.

Time is our x and amount (ft) is our y.

On the x side it increases by 2

On the y side it decreases by 10

Now do y over x ==> 10 over 2 and get 5 ==> m

-5 is our slope and 50 is our y - intercept

~~

The "rate of change" is another word for slope.

Well, slope is - 5ft is our slope.

y = - 5x + 50

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
6 0
3 years ago
Algebra:<br><br>Provide an example of the product, quotient, and power properties
weeeeeb [17]

Answer:

Idk

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
(2n + 1) (n - 2) = 33
gavmur [86]
Distribute to get

2n + 1 + n - 2 = 33

Now simplify to get

3n -1 = 33

Now begin to get the variable by itself by adding 1 to 33 and getting rid of -1

3n = 34

Divide 34 by 3

34/3 = 1.3(repeating)
7 0
3 years ago
Read 2 more answers
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