Answer:
![c(t) = 120 [0.7]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20120%20%5B0.7%5D%5E%7Bt%7D%20)
Step-by-step explanation:
At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter.
From that moment forward, the medicine's concentration drops by 30% each hour.
Therefore, the medicine concentration c(t) in mg/liters after t hours will be modeled as
![c(t) = c(0) [1 - \frac{30}{100}]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20c%280%29%20%5B1%20-%20%5Cfrac%7B30%7D%7B100%7D%5D%5E%7Bt%7D%20)
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. (Answer)
Answer:
<h2>400 L of orange punch</h2>
Step-by-step explanation:
step one:
given data
orange punch is 45% juice and
mango punch is 20% juice.
amount of fruit punch to be made is
500 L of a fruit punch that is 40% juice.
Let x = the number of liters of orange punch in the fruit punch.
Then the number of liters of mango is 500 - x
The number of liters of orange + mango juice is
0.45x + 0.2(500 - x), and this must equal the number of liters
in the fruit punch, which is 0.4*500
0.45x + 100 - 0.2x = 200
solve for x
0.45x-0.2x+100-200=0
0.25x-100=0
0.25x = 100
x=100/0.25
x = 400 L
<u>400 L of orange punch</u>
Answer: The second number is 26
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. Let's call:
x: The first even number.
x+2: the second consecutive even number.
x+4: the third consecutive even number.
2. So, you know that the sum ot the 3 consecutive numbers is 78, therefore, you must add them, as you can see below:

3. Substitute the value obtain into x+2. Therefore, the second number is:

Answer:
if you are trying to solve for <em>d </em>here it is...
2
sin (x) -1 = 0
2x=5
4x=8
Step-by-step explanation:
please give brainliest!