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Vinil7 [7]
3 years ago
15

Solve for inequality: 9x + 11 > 4x - (17 - 9x)

Mathematics
1 answer:
Soloha48 [4]3 years ago
6 0
9x + 11 \ \textgreater \  4x - (17 - 9x) \\
9x + 11 \ \textgreater \  4x - 17+9x\\
4x\ \textless \ 28\\
x\ \textless \ 7
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What is the value of 10*100^7/1000^6
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Step-by-step explanation:

10 x 100 = 1000. 1000^7 / 1000^6 = 1000^1... 1000 to the 1st power is itself.

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Translate the sentence into an equation.
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Answer:
2*(b-6)=8

Explication:
1.divide both sides by 2
b - 6 = 4

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3. Calculate
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7 0
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If m∠A =91° and m∠B = 40°, find m∠1.<br> A) 89° <br> B) 122° <br> C) 131° <br> D) 140°
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6 0
3 years ago
Olivia family drove to Disney land For spring break. Her mom and dad shared the driving duties for a total of 14 hours. her mom
Kay [80]

Mom drove for 11 hours.

Dad drove for 3 hours.

<u>Step-by-step explanation</u>:

  • Total hours = 14 hours
  • Total distance = 895 miles
  • Mom drove a speed of 65 mph
  • Dad drove a speed of 60 mph

Let 'x' be the number of hours drove by mom.

Let 'y' be the number of hours drove by dad.

x + y = 14     ---------------(1)

65x + 60y = 895  ---------(2)

Multiply eq(1) by 60 and subtract eq(2) from (1),

60x + 60y = 840

-(<u>65x + 60y = 895</u>)

 <u> -5x   = -55    </u>

x = 55/5

x = 11

∴ Mom drove for 11 hours.

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11+y = 14

y = 3

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6 0
3 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
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