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monitta
3 years ago
13

Tiếp tuyến của đồ thị hàm số x

} -3x^{2} +2" alt="x^{3} -3x^{2} +2" align="absmiddle" class="latex-formula"> tại điểm M(2,-2)
Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

what are you telling Id understand

Step-by-step explanation:

became

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Plutonium-240 decays according to the function where Q represents the quantity remaining after t years and k is the decay consta
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Note: a radioactive decay constant is always negative.

time = [natural log(ending amount / beginning amount)] / k
time = ln (20 / 24) / -.00011
time = ln (5/6) / -.00011
time = -.018232155683 / -.00011
time = <span> <span> <span> 165.7468698455 </span> </span> </span>
time = <span> <span> <span> 165.75 years

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3 years ago
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Which of the following is the solution to the equation 3/4 y = 24?
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y = 32
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8 0
3 years ago
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The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

7 0
2 years ago
The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point B, parallel to the front fac
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Answer:

the answer is c i took the quiz

Step-by-step explanation:

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