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lina2011 [118]
2 years ago
6

An adult takes 400 mg of vitamin C. Each hour, the amount of vitamin C in the person's system decreases by about 29%. Estimated

to the nearest hundredth, how many mg of vitamin C are left in the system after 6 hours?
Mathematics
1 answer:
Dvinal [7]2 years ago
8 0

Answer:

the number of mg of vitamin C would be left after 6 hours in the system is 51.24 mg

Step-by-step explanation:

The computation of the number of mg of vitamin C would be left after 6 hours in the system is shown below;

= Mg taken × (1 - decreased percentage)^times

= 400 mg × (1 - 0.29)^6

= 51.24 mg

Hence, the number of mg of vitamin C would be left after 6 hours in the system is 51.24 mg

Therefore the same is to be considered

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Solve-1/8<34 then graph it
Vlada [557]

Answer:

This isn’t really a valid equation, so I’m guessing you forgot to type something.

Step-by-step explanation:

6 0
2 years ago
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
Solve the equation.-7=y/7
ad-work [718]

Answer:

y = -49

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

-7 = y/7

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Multiply 7 on both sides:                    -49 = y
  2. Rewrite:                                               y = -49
7 0
3 years ago
A box has a volume given by the trinomial x^3+4x^2-5x. What are possible dimensions of the box? Use factoring.
cricket20 [7]
Answer: The correct answer is Choice B.

To factor this expression, we should first factor out the variable x.

We will have:
x(x^2 + 4x - 5)

Now, all we have to do is factor x^2 + 4x - 5.

The factors of this are (x + 5)(x - 1).

If you put all of the factors together, you have: x(x + 5)(x - 1) or Choice B.
6 0
3 years ago
How are the coordinates of a new point found if the point is reflected through the line y = x? How are the coordinates of the ne
Assoli18 [71]
The a point is refrected through the line y = x, the new point is found by interchanging the x and y-cordinate of the original point. i.e. if the original point is (a, b) and is refrected through the line y = x, the new point will be (b, a).
6 0
3 years ago
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