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Kay [80]
3 years ago
12

Liquid Tylenol has 325 milligrams of acetaminophen per 12.5 milliliters of liquid medicine (a fact that would be commonly abbrev

iated as 325 mg/12,5 ml). It means that if you could
pour Liquid Tylenol into a 12.5 milliliter cup and separate all of the ingredients, you would find that it contains 325 milligrams of acetaminophen (the active ingredient that relieves pain)
along with some inactive ingredients like flavorings.
The doctor orders 260 milligrams of acetaminophen for a patient. If the patient takes the medicine in the form of Liquid Tylenol, how many milliliters of Liquid Tylenol would he need to
take to get the prescribed amount of acetaminophen?
Choose the two fractions that are multiplied together to calculate the solution using dimensional analysis. You must have the correct two selected before checking your answer to
get credit.
1
12.5 ml
260 mg 325 mg
260 mg a 325 mg
How many milliliters of Liquid Tylenol would he need to take?
Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0

Answer:

10 milliliters

Step-by-step explanation:

260 mg/ 325 mg = x ml / 12.5 ml

12.5 ml x (260 mg / 325 mg) = 10 ml

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Solve 3y - 15 = y+1 with steps shown
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Answer:

y = 8

Step-by-step explanation:

Hello!

We can solve for y by isolating it.

<h3>Solve for y</h3>
  • 3y - 15 = y + 1
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7. If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5)=-2, gʻ(5) = 6.. Find F'(5) <br>​
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Answer:

I'm going to lay this out in a chart so it's a little easier to see:

F(x) = f(g(x))

x | f (x) | f ' (x) | g (x) | g ' (x)

--------------------------------------

-2 | 8 | 4 |

5 | | 3 | -2 | 6

Remember the chain rule, which says

(f (g (x))) ' = g ' (x) f ' (g (x))

When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.

Using the chain rule, that's

F ' (5) = g ' (5) f ' (g (5))

We can simplify using the numbers provided.

F ' (5) = (6) f ' (-2)

F ' (5) = (6) (4)

F ' (5) = 24

I hope that helps!

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