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Wewaii [24]
3 years ago
15

Plz help fast will mark the brainiest!!!

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
3x10^-6 is the answer
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Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt+2x−2=05t3dx
uranmaximum [27]
Given the differential equation

5t^3 \frac{dx}{dt} +2x-2=0

The solution is as follows:

5t^3 \frac{dx}{dt} +2x-2=0 \\  \\ \Rightarrow5t^3 \frac{dx}{dt} =2-2x \\  \\ \Rightarrow \frac{5}{2-2x} dx= \frac{1}{t^3} dt \\  \\ \Rightarrow \int {\frac{5}{2-2x} } \, dx = \int {\frac{1}{t^3}} \, dt \\  \\ \Rightarrow- \frac{5}{2} \ln(2-2x)=- \frac{1}{2t^2} +A \\  \\ \Rightarrow\ln(2-2x)= \frac{1}{5t^2} +B\\  \\ \Rightarrow2-2x=Ce^{\frac{1}{5t^2}} \\  \\ \Rightarrow 2x=Ce^{\frac{1}{5t^2}}+2 \\  \\ \Rightarrow x=De^{\frac{1}{5t^2}}+1
3 0
3 years ago
PLEASE HELP ME!!! Find m (angle) LMN
bagirrra123 [75]

Answer:

108°

Step-by-step explanation:

hii!

lmn would be equal to 85 plus 23.

this is because those angles both make up the big angle lmn, so the answer is 108 degrees.

hope this helped you :)

4 0
2 years ago
A farmer has to transport 20 people and 32 sheep to a market. He can use either Fiats (x) which take 2 people and 1 sheep, or Ro
Zolol [24]
Uhhhhhhhhhh I think its is 84
5 0
3 years ago
If a bottle rotates through 270 degrees in 3 seconds how many degrees does it rotate in 2 seconds
abruzzese [7]
The bottle rotates 180 degrees in 2 seconds.

I divided 270 by 3, which was 90. Then, I multiplied 90 by 2. Which was 180.<span />
7 0
3 years ago
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Mike purchased a notebook, pen, and two pencils from the school's book fair. All notebooks are $2.98, pens are $1.75, and pencil
joja [24]

Answer:

5.48

Step-by-step explanation:

add 2.98 1.75 and 0m75

3 0
3 years ago
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