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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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Hey now please just anser if itnus a try i will still give 5 stars. THE Question is what is the most easy way to SOLVE THE NINES
Zigmanuir [339]

Answer:

Tbh, I think the easiest way is to count on your fingers. I still do it, however I can now do my chart tables to 17x17 by using fingers. People may tease, however, it is a good way to make sure you do not mess up as much as memorizing. You should memorize, and count on your fingers at the same time to solve extremely fast.

Step-by-step explanation:

9x4

You can pretend that your thumb equals nine, and count 9 plus 9 plus 9 plus 9, with each other finger, such as your ring finger, pointer, middle, and pinky , which equals 36. 5x9, you have five fingers on each hand, so each finger can equal nine (I don't care if people say that your thumb isn't a finger, just take it and move on lol).

8 0
3 years ago
If
likoan [24]

It's easy to show that 7\tan(4x) is strictly increasing on x\in\left[0,\frac\pi8\right]. This means

M = \max \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/12} = 7\sqrt3

and

m = \min \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/16} = 7

Then the integral is bounded by

\displaystyle 7\left(\frac\pi{12} - \frac\pi{16}\right) \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le 7\sqrt3 \left(\frac\pi{12} - \frac\pi{16}\right)

\implies \displaystyle \boxed{\frac{7\pi}{48}} \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le \boxed{\frac{7\sqrt3\,\pi}{48}}

7 0
2 years ago
Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many d
nadya68 [22]
Oyebolatoba Beginner
Let d = # digital cameras
Let m = # manual cameras

d + m = 240 equation 1

(d-82) = 3(m-26) equation 2
d - 82 = 3m - 78
d - 3m = 82 - 78
d - 3m = 16 equation 2 simplified

We have two equations with 2 unknowns:

d + m = 240
d - 3m = 16 subtract equation 1 from equation 2
---------------
-4m = -224
m = -224/-4
m = 56

d + m = 240
d = 240-m
d = 240-56
d = 184

He started with 184 digital cameras and 56 manual cameras

5 0
3 years ago
Calculate the perimeter of the rectangle if the length is 7cm and the height is 2cm​
stepan [7]

Answer:

Perimeter = 18

Step-by-step explanation:

P=2(l+w)=2·(7+2)=18cm

7 0
3 years ago
F(x) = x² + 10 <br>What is the average rate of change of f over the interval [ -2,-1?​
KIM [24]

Answer:

-3

Step-by-step explanation:

f(-2) = (-2)^2 + 10 = 14 -> (-2, 14)

f(-1) = (-1)^2 + 10 = 11 -> (-1, 11)

(11-14)/(-1-(-2)) = -3/1 = -3

8 0
3 years ago
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