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ryzh [129]
3 years ago
15

DON'T ANSWER FREE POINTSSSS

Mathematics
2 answers:
kumpel [21]3 years ago
6 0

Answer:

0

Step-by-step explanation:

steposvetlana [31]3 years ago
3 0

Answer:

\boxed{n = -13 - 4i}

Step-by-step explanation:

\text{Assuming } i=\sqrt{-1}

(13 + 4i) + n = 0

n = -(13 + 4i)

\boxed{n = -13 - 4i}

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Jannie has a budget of $240 to spend on jeans and shirts. She spends $95 on jeans. If the cost of each shirt is $22.50, how many
marysya [2.9K]
240-95=145
145÷22.50=6.44444
OR about 6 shirts
6 0
3 years ago
Find the value of x and y and please show all work.
elena55 [62]

Answer:

x=66

y=48

Step-by-step explanation:

because the two length is same, so the angle x= 66 will be same; y= 180-66-66=48

6 0
3 years ago
Read 2 more answers
Integrate e^x(sin(x) cos(x))
Karo-lina-s [1.5K]
I=\int e^x(\sin(x)\cos(x))dx=\int e^x(\frac{1}{2}\sin(2x))dx=\frac{1}{2}\int e^x\sin(2x)dx

\text{If }u=\sin(2x)\to du=2\cos(2x)dx~\text{and}~dv=e^xdx\to v=e^x:\\\\
\text{Using }\int u\,dv=uv-\int v\,du:\\\\
I=\frac{1}{2}(e^x\sin(2x)-\int e^x(2\cos(2x))dx)\\\\
2I=e^x\sin(2x)-2\underbrace{\int e^x\cos(2x)dx}_{I_2}

Looking for I_2:

\text{If}~u=\cos(2x)\to du=-2\sin(2x)dx~\text{and}~dv=e^xdx\to v=e^x:\\\\
I_2=e^x\cos(2x)-\int e^x(-2\sin(2x))dx\\\\ I_2=e^x\cos(2x)+2\int e^x(\sin(2x))dx\\\\  I_2=e^x\cos(2x)+2\int e^x(2\sin(x)\cos(x))dx\\\\ I_2=e^x\cos(2x)+4\int e^x(\sin(x)\cos(x))dx=e^x\cos(2x)+4I

Replacing:

2I=e^x\sin(2x)-2I_2\iff\\\\2I=e^x\sin(2x)-2(e^x\cos(2x)+4I)\iff\\\\
2I=e^x\sin(2x)-2e^x\cos(2x)-8I\iff\\\\
10I=e^x\sin(2x)-2e^x\cos(2x)\iff\\\\
I=\dfrac{e^x}{10}(\sin(2x)-2\cos(2x))\\\\
\boxed{\int e^x(\sin(x)\cos(x))dx=\dfrac{e^x}{10}(\sin(2x)-2\cos(2x))+C}
6 0
3 years ago
Factor completely.<br><br> 15x^2y^2-3x^3y+75x^4
olga_2 [115]
<span><span> 15x2y2+3x3y+75x4</span> </span>Final result :<span> 3x2 • (25x2 + xy + 5y2) </span>

Step by step solution :<span>Step  1  :</span><span>Equation at the end of step  1  :</span><span><span> (((15•(x2))•(y2))+((3•(x3))•y))+(3•52x4) </span><span> Step  2  :</span></span><span>Equation at the end of step  2  :</span><span><span> (((15•(x2))•(y2))+(3x3•y))+(3•52x4) </span><span> Step  3  :</span></span><span>Equation at the end of step  3  :</span><span> (((3•5x2) • y2) + 3x3y) + (3•52x4) </span><span>Step  4  :</span><span>Step  5  :</span>Pulling out like terms :

<span> 5.1 </span>    Pull out like factors :

  <span> 75x4 + 3x3y + 15x2y2</span>  =  <span> 3x2 • (25x2 + xy + 5y2)</span> 

Trying to factor a multi variable polynomial :

<span> 5.2 </span>   Factoring   <span> 25x2 + xy + 5y2</span> 

Try to factor this multi-variable trinomial using trial and error<span> 

 </span>Factorization fails

Final result :<span> 3x2 • (25x2 + xy + 5y2) </span><span>

</span>
7 0
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Im not giving out direct answers cause math is my weak point but to find the volume multiply the width with the length and with the height all together to find it.<span />
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