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Wewaii [24]
2 years ago
6

in one hour, the human body processes about 11.5% of the caffeine in the blood. if your teacher drank a cup of coffee with 175 m

g of caffeine 3 hours ago, how much caffeine remains in her blood
Mathematics
1 answer:
Y_Kistochka [10]2 years ago
3 0

121.3 grams of caffeine is remaining in her blood

<h3>How to determine the amount of caffeine?</h3>

The given parameters are:

  • Initial, a = 175 mg
  • Rate, r = 11.5%
  • Time, t = 3 hours

The amount of caffeine is calculated as:

A(t) = a(1 - r)^t

This gives

A(t) = 175 * (1 - 11.5%)^t

At 3 hours, we have:

A(3) = 175 * (1 - 11.5%)^3

Evaluate

A(3) = 121.3

Hence, 121.3 grams of caffeine is remaining in her blood

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

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ra1l [238]

Answer:

X=1

Step-by-step explanation:

6 times x = 6x

6 times positive 3 = 18

6x +18 = 24

     -18    -18

6x = 6

6      6

x = 1 :)

4 0
3 years ago
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find 2 consecutive integers such that three times the square of the first is equal to seven more than five times the second
melamori03 [73]

Answer:

Step-by-step explanation:

We are looking for two numbers, N and N + 1. From the problem statement, we can setup the following equation:

3N^{2} = 5(N + 1) + 7

3N^{2} = 5N + 5 + 7

3N^{2} - 5N - 12 = 0

(3N + 4)(N - 3)

N = \frac{-4}{3}, 3

Because 3 is the only integer solution, the answer is 3 and 4.

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3 years ago
1. Milania makes $17 per hour and works 30 hours per week. She loses 20% of her check to taxes.
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Answer:

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6 0
3 years ago
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if it takes anne 1/2 hour to read 2/3 of a chapter. About how long will it take her to read a chapter?​
kolbaska11 [484]

Answer:

45 minutes

Step-by-step explanation:

1/2 hour=30 minutes

2/3 of chapter=30 minutes

1/4 of hour=15 minutes

1/3 of chapter=15 minutes

3/4 of hour=45 minutes

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6 0
3 years ago
Find the midpoint of the line segment with the endpoints A and B.
zavuch27 [327]

Answer:

<h2>( 6 , 7 )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )\\

From the question we have

m = ( \frac{2 + 10}{2} \:  , \:  \frac{6 + 8}{2} ) \\  =  (\frac{12}{2}  \: , \:  \frac{14}{2} ) \:  \:  \:  \:  \:  \:  \:

We have the final answer as

<h3>( 6 , 7 )</h3>

Hope this helps you

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