When given a trinomial with no GCF what is the first step in factoring?
2 answers:
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Answer:
The answer is 36
Step-by-step explanation:
To find the volume you:
Answer:
Husband:
The husband will have 16.35 mg of caffeine in his body at 7 pm.
Woman:
The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.
Step-by-step explanation:
The amount of caffeine in the body can be modeled by the following equation:
In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.
110 mg of caffeine at 8 am,
So
Husband
Half life of 4 hours. So
Applying ln to both sides
So for the husband
At 7 pm
7 pm is 11 hours after 8 am, so this is C(11)
The husband will have 16.35 mg of caffeine in his body at 7 pm.
Pregnant woman
Half life of 10 hours. So
Applying ln to both sides
At 7 pm
7 pm is 11 hours after 8 am, so this is C(11)
The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.
As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:
Solving this proportion for x implies
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:
Then, we know that the hypothenuse of the big triangle is m+p, so we have
which implies