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Lena [83]
3 years ago
6

What is the slope of the line that contains these points?

Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0
Formula to find the slope (y1-y2)/(x1-x2)
if (x1,y1) is (13,2) and (x2,y2) is (15,14)
(2-14)/(13-15)=6
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Write 108.92 in expanded form
Kitty [74]
Sorry if my writing is sloppy

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3 years ago
A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i
Over [174]

Answer:

a) \frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

b) C(5) = 100 e^{-0.16*5}= 44.9329

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

\frac{dC}{dt} = rC

And for this case we can rewrite the model like this:

\frac{dC}{C} = r dt

If we integrate both sides we got:

ln C = rt + k

If we use exponentials for both sides we got:

C = e^{rt} e^k = C_o e^{rt}

For this case C_o = 100 mg and r = -0.16

So then our model would be given by:

C(t) = 100 e^{-0.16 t}

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

C(5) = 100 e^{-0.16*5}= 44.9329

7 0
3 years ago
Plz answer asap its due today 3x + 2y is an example of
nevsk [136]

Answer:

A

Step-by-step explanation:

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7 0
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9= h/9

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3 0
3 years ago
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What is the image of (-1,0) after a reflection over the line y = -x?
umka2103 [35]

Answer:

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Step-by-step explanation:

reflection is flipping

flipping over Y would make -, to + or + to -

in this case -1,0 becomes 1,0

7 0
3 years ago
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