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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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the diameter of a piston for an automobile is 3 11/16in with tolerence of 1/64in. find the upper and lower limits of the pistons
padilas [110]

Upper Tolerance

Remark

The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.

Solution

<u>Upper Limit</u>

\dfrac{11}{16} +  \dfrac{1}{64}

Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4

\dfrac{11*4}{16*4} +  \dfrac{1}{64}

\dfrac{11*4}{16*4} +  \dfrac{1}{64} Which results in

\dfrac{44}{64} +  \dfrac{1}{64}

With a final result for the fractions of 45/64

So the upper tolerance = 3 45/64

<u>Lower Tolerance</u>

Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.

\dfrac{11}{16} - \dfrac{1}{64}

Your answer should be 3 and 43/64


4 0
3 years ago
The sum of 3 consecutive even integers is 78. What is the largest of the integers?
Maksim231197 [3]

Answer:

is the sum 78 or 7,878 (i.e. was there a stutter)?

In any event, this sum must be even, so 3 consecutive even integers would be n, n+2 & n+4 whose sum is 3n + 6.

Set that to either 78 or 7878, whichever is intended, & solve for n.   If 78 is their grand total, then those 3 consecutive even numbers have to be 24, 26 & 28.

No stress!  Just logic! Keep the faith!

Step-by-step explanation:

3 0
3 years ago
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A drug company claims that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of produc
Harlamova29_29 [7]
4% of the 200 pills failed to retain full potency after 60 days.
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If line 1 has a slope of -4 and line 2 has a slope of 1/4, they are parallel<br> True<br> O False
Papessa [141]
Parallel lines need to have same slope
The lines have different slopes

It is false.
6 0
3 years ago
Help please and thank u
Damm [24]

Answer:

Point S is your answer.

Step-by-step explanation:

See how all of them are rays, but they all connect at point S.

Point S is your answer.

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3 years ago
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