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Vesna [10]
3 years ago
6

The two parallelograms below are similar. What is the length in inches of PQ? 40 in. 34 in. 38 in. 14 in.

Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

40 inches

Step-by-step explanation:

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Hope this helps...

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I'm assuming your talking about least to greatest, OR greatest to least.  If so, that's what I'll do...


Least to Greatest: -1, 3, 5, 17, 20

Greatest to Least: 20, 17, 5, 3, -1

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If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca
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Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function A ( t ) = 10 e^{ -0.0188 t (t in hours)

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A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)

(b)If A(t)=5mg

Then:

5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)

(c)

A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)

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2 years ago
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