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4 years ago

(x + 2) + (x + 2) + (x + 4) + (x + 4)

Mathematics

2 answers:

liq [111]4 years ago

7 0

Answer:

4x+12

Step-by-step explanation:

Dovator [93]4 years ago

6 0

Answer:

4x+12

Step-by-step explanation:

(x+2)+(x+2)=2x+4

(x+4)+(x+4)=2x+8

(2x+4)+(2x+8)=4x+12

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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

Retro Rides is a club for owners of vintage cars and motorcycles. Every year the club gets together for a ride. This year, 53 ve

kari74 [83]

21 cars, 32 motorcycles.
create a system of equations using x for cars and y for motorcycles.
$\left \{ {{x+y=53} \atop {4x+2y=148}} \right.$
multiply the top equation by 2 to prepare for elimination method
$\left \{ {{2x+2y=106} \atop {4x+2y=148}} \right.$
subtract terms
$\left \{ {{2x+2y=106} \atop {-4x-2y=-148}} \right. = (-2x = -42)$
divide both sides by negative 2 to solve for x
x =21
plug in x into original equation to solve for y.
21 + y = 53
subtract both sides by 21
y=32

8 0

3 years ago

Idk how to do this 4x+y=1

ivolga24 [154]

4x+y=1
4x+y-1=1-1
4x+y-1=0

6 0

3 years ago

Which law would you use to simplify the expression (x^4)^9

irakobra [83]

This is the power of powers law. It states that (a^b)^c is equal to a^b*c.

6 0

3 years ago

Find the value of each variable, pls help, ty

olga nikolaevna [1]

Hope this helps

X = 8
Y = 7

6 0

3 years ago