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KiRa [710]
3 years ago
11

The answer is not a​

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0

Answer:

C

Step-by-step explanation:

Given

\sqrt[4]{81y^{12} }

= \sqrt[4]{3^{4} }(y^3)^{4}

= 3y³ → C

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Suppose that you take 120 mg of an antibiotic every 4 hr. The​ half-life of the drug is 4 hr​ (the time it takes for half of the
vodomira [7]

Answer:

The steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Step-by-step explanation:

Let the amount of antibiotic in one's bloodstream be given as Aₙ (where n = the number of half lives since the start of usage)

Let's follow the time line of events.

At t = 0 hr, the drug is taken

A₀ = 120 mg

At t = 4 hrs, n = 1, the drug is taken again

A₁ = (0.5×A₀) + 120

A₁ = (0.5×120) + 120 = 180 mg

At t = 8 hrs, n = 2, the drug is taken again,

A₂ = (0.5×A₁) + 120

A₂ = (0.5×180) + 120 = 210 mg

At t = 12 hrs, n = 3, the drug is taken again

A₃ = (0.5×A₂) + 120

A₃ = (0.5×210) + 120 = 225 mg

At this point, it becomes evident that at t = 4n hrs, n = n i.e. n half lives later, the general formula for the amount of the antibiotic in the bloodstream is

Aₙ = 0.5Aₙ₋₁ + 120

where Aₙ₋₁ = The amount of antibiotic in the bloodstream at the time t = 4(n-1) and (n-1) half lives later.

For infinite series, that are increasing in this order, as the value of n --> ∞,

Aₙ = Aₙ₋₁ = K

And our general formula becomes

K = 0.5K + 120

0.5K = 120

K = (120/0.5)

K = 240 mg

Hence, the steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Hope this Helps!!!

5 0
3 years ago
727x10by the power of 1
lubasha [3.4K]
7270

(Tip: 10 to the power of 1 is 10)
8 0
2 years ago
The difference of 13 and 5 times a number is 3.
Artemon [7]

Answer:

2

Step-by-step explanation:

13-5x =3  

-13 -13  

-5x = -10  

-5 -5

x=2

3 0
3 years ago
Read 2 more answers
Kate buys 10 tickets to a show. She also pays a $5 Parking fee. she spent $35 to see the show. what is the equation to this prob
zepelin [54]

Answer:

(35 - 5)/10 = 3

Step-by-step explanation:

She paid 35 alltogether and 5$ was for parking, so we can subtract that. Then 30/10 is equal to 3 so she spent 3 dollars for each ticket!

5 0
3 years ago
A furniture store bought a couch for $425 and marked the price up by 70%. Angela bought the couch with a 6% tax. How much did An
Tomtit [17]

Answer:Angela paid 679,05 for the couch

Step-by-step explanation:

 425*70/100=29.750

29.750/100= 297,5

297,5+425=722,5

722,5*6/100=4.335/100=43,45

722,5-43,45=679,05

8 0
3 years ago
Read 2 more answers
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