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aleksandrvk [35]
3 years ago
11

Find the least common multiple of two two-digit numbers. SHOW WORK

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

The LCM of 20 and 30 is 60.

Step-by-step explanation:

LCM means the least common multiple.

The LCM of two numbers means the least multiple both numbers share.

Use the listing method:

Multiples of 20:

20, 40, 60, 80, 100, ......

Multiples of 30:

30, 60, 90, 120, 150, ...

The LCM is 60 because that is the least common multiple 20 and 30 have.

Hope this helps

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Which of the following is a valid step in the solution?
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For the given functions, (a) express dw/dt as a function of t, both by using the chain rule and by expressing w in terms of t an
ch4aika [34]

By the chain rule,

\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}

We have

w=7ye^x-\ln z\implies\begin{cases}\dfrac{\partial w}{\partial x}=7ye^x\\\\\dfrac{\partial w}{\partial y}=7e^x\\\\\dfrac{\partial w}{\partial z}=-\dfrac1z\end{cases}

and

\begin{cases}x=\ln(t^2+1)\\y=\tan^{-1}t\\z=e^t\end{cases}\implies\begin{cases}\dfrac{\mathrm dx}{\mathrm dt}=\dfrac{2t}{t^2+1}\\\\\dfrac{\mathrm dy}{\mathrm dt}=\dfrac1{t^2+1}\\\\\dfrac{\mathrm dz}{\mathrm dt}=e^t\end{cases}

Putting everything together, we get

\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{14ye^xt}{t^2+1}+\dfrac{7e^x}{t^2+1}-\dfrac{e^t}z

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S is directly proportional to the fifth power of t
Colt1911 [192]

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Im assuming this would simplify to

s= t^5

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