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3 years ago

I need help please !!!!

Mathematics

1 answer:

photoshop1234 [79]3 years ago

6 0

Answer:

equation: y = 50x + 75

The gift certificate will pay for the cost of 7 lessons and will have $40 left on it.

Step-by-step explanation:

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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

A group of 15 people are going to run a race. The top 8 will advance to the finals. Determine if the situation is a permutation

LUCKY_DIMON [66]

For the given situation we have a total of 259,459,200 permutations.

<h3>How many permutations are?</h3>

First, how we know that it is a permutation?

Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).

Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.

For the first position there are 15 options.
For the second position ther are 14 options (one runner already finished).
For the third position there are 13 options.
And so on.

Then the total number of permutations (product between the numbers of options) is:

P = 15*14*13*12*11*10*9*8 = 259,459,200

If you want to learn more about permutations:

brainly.com/question/11732255

#SPJ1

8 0

2 years ago

What is 3 divided by 15

VikaD [51]

3/15 = 1/5
Answer; 1/5

7 0

4 years ago

Read 2 more answers

Which statements best describe the dot plot or box plot? Check all that apply

Sveta_85 [38]

Answer:

<h2>The box plot is the only display that can be used to show the variability of the data.</h2><h2>The median appears clearly on the box plot at the line within the box: 10.</h2>

Step-by-step explanation:

When we want to represent variability, we use a box plot instead of a dot plot, because the box plot allow us to observe the range of the data set, that is, the minium and the maximum value.

Remember that variability is about the spread of the dataset, and the range is a measure that can give a pretty good idea of it, shown by a box plot.

Therefore, the last hoice is correct.

On the other hand, according to the dot plot, the median is 10, because there are 13 total values, where the central value is 10.

Therefore, the second choice is correct.

3 0

3 years ago

The graphs below have the same shape. Complete the equation of the red<br> graph.

inn [45]

Answer:

Step-by-step explanation:

F(x) = 2 - x²

3 0

3 years ago