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AlekseyPX
3 years ago
7

Find the distance between -4.3 and 0.8 on a number line as a decimal

Mathematics
1 answer:
evablogger [386]3 years ago
6 0

Answer:

5.1

Step-by-step explanation:

Add 4.3 to 0.8

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ann is grouping 38 rocks, she can put into groups of 10 rocks or as single rocks what are the different ways she can group them
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Since Anna is either grouping them as single rock or as group of 10, we need to find the maximum number of groups of 10 as follows: 38/10 = 3.8

This means that Anna can make maximum 3 groups of 10 rocks.

Based on this, the different ways to group the rocks are as follows:
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3 years ago
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Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F =
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For F to be conservative, we need to have

\dfrac{\partial f}{\partial x}=\cos z

\dfrac{\partial f}{\partial y}=10y

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Integrate the first PDE with respect to x:

\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)

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Now differentiate f with respect to z:

\dfrac{\partial f}{\partial z}=-x\sin z=-x\sin z+\dfrac{\mathrm dh}{\mathrm dz}\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C

So we have

f(x,y,z)=x\cos z+5y^2+C

so F is indeed conservative.

8 0
3 years ago
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