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grin007 [14]
3 years ago
14

HELP! According to the Fundamental Theorem of Algebra, which polynomial function has exactly 11 roots?

Mathematics
2 answers:
IceJOKER [234]3 years ago
8 0

Answer:

A.

Step-by-step explanation:

antiseptic1488 [7]3 years ago
3 0
The one where x is raised to the 11 power.
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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
Write the equation in slope intercept form y= 3 (x+ 1) + 5x
schepotkina [342]

Given:

y=3(x+1)+5x

Required:

To write the given equation in slope intercept form.

Explanation:

Consider

\begin{gathered} y=3(x+1)+5x \\  \\ y=3x+3+5x \\  \\ y=8x+3 \end{gathered}

Final Answer:

y=8x+3

5 0
10 months ago
Please HELP!!! <br> Factoring Polynomial <br><br> 4x2 + 1x - 3
swat32

Answer:

(4x-3)(x+1)

Step-by-step explanation:

5 0
2 years ago
Find the surface area of the composite solid.
Dvinal [7]

Answer:

281 ft^2

Step-by-step explanation:

We need to add each individual 2d shape together to find the surface area

Bottom: 5*12 = 60

Left side and right side: 4*5 = 20, 2 sides so 20*2= 40

Side facing us and side facing away from us: 12*4 = 48, 2 sides so 48*2=96

Top side that is cut by base of triangle: 7*5 = 35

Each triangle face: base = 5 (12-7), height = 5             1/2base * height so each triangle is .5*5*5 = 12.5; 4 triangles so 12.5*4=50

60+40+96+35+50=281

4 0
2 years ago
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vaieri [72.5K]

Answer:

Your answer is 87.487699

4 0
3 years ago
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