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Kay [80]
3 years ago
15

7x-5y=20 in slope intercept form

Mathematics
1 answer:
Leto [7]3 years ago
3 0
Slope inercept
solve for y

mnus 7x both sides

-5y=-7x+20
divide both sides by -5
y=7/5x-4
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Step-by-step explanation:

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An object is heated to 100°. It is left to cool in a room that
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Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

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If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

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Filling in to solve for k:

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ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

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Now that we have a value for k, we can sub that in to solve for T(20):

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On your calculator, raise e to that power and multiply that number by 70:

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5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

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