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REY [17]
3 years ago
11

Find the slope given (2,7) and (4,4)

Mathematics
1 answer:
8090 [49]3 years ago
8 0
<h3>Answer:</h3>

m= -3/2

<h3>Step by step:</h3>

m=y1-y2/x1-x2     = 4-7/4-2      = -3/2

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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 mass of Jupiter is 1.898 × 10(27) kilograms, and the mass of Saturn is 5.68 × 10(26) kilograms. How much greater is Jupiter'
grandymaker [24]
Just subtract but take care of the power or else you can come up with wrong results !

so first make the power same ;

for Jupiter = 1.898× 10(27) = 18.98 × 10(26)
for Saturn = 5.68×10(26)

so now subtract = (18.98-5.68) × 10(26)
= 13.3 × 10(26)

so the answer is 13.3 ×10(26)
or, 1.33× 10(27)
6 0
3 years ago
PLSSS HELPP!!! WILL MARK BRAINLIEST PLSSS
qwelly [4]

Answer:
28.26

Step-by-step explanation:

Don't lie please give brainliest

3 0
1 year ago
227.2 grams to ounces ?
Eva8 [605]

Answer:

8.0177716 Ounces

Step-by-step explanation:

Divide by 28.35 (for approximate answer)

3 0
2 years ago
You are building a new extension and are looking at the plans.referring to the scale, what is the actual measurement of the wall
galina1969 [7]
<span>1:50 scale  means     1cm  on paper and  <span>50cm in real life . So 18x50=900cm
and the answer is 9m . Hope you enjoy !</span></span>
3 0
3 years ago
Read 2 more answers
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