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Anton [14]
3 years ago
10

What does that equal12/15÷7

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

The answer is 4/35 or 0.11428571428 as a decimal.

Step 1: Simplify 12/15 to 4/5

Step 2: 4/5 x 1/7

Step 3: 4 x 1 / 1 x 7

Step 4: Simplify (which will give you your answer.

Let me know if I helped you! Have a great day :)

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Read 2 more answers
Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(
Temka [501]
The particular quadratic solution to the ODE is found as follows:

x=at^2+bt+c
x'=2at+b

(2at+b)+2(at^2+bt+c)=t^2+4t+7
2at^2+(2a+2b)t+(b+2c)=t^2+4t+7

\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

x'+2x=0\implies r+2=0\implies r=-2

so that x_c=Ce^{-2t} is a characteristic solution to the ODE, and the general solution would be

x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4
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