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Andreyy89
3 years ago
15

This algebra I need help with all of them

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

Answer:

17-18) Can you type out the questions for 17-19, I can't read them.

20) a. rational

21) d. 25 in^2

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The​ half-life of a certain tranquilizer in the bloodstream is 22 hours. How long will it take for the drug to decay to 90​% of
nasty-shy [4]

Answer:

It will take approximately 3.34 hours for the drug to decay to 90% of the original dosage

Step-by-step explanation:

As suggested, we use the formula for exponential decay:

A(t)=A_0\,e^{-k\,t}

From the given information, the half life of the drug in blood id 22 hours, so that means that it takes that number of hours to go from the initial value A_0, to a final value equal to A_0/2. Using this information we can find the decay rate "k" by solving for this parameter in the formula, and using the natural log function to bring the exponent down:

A(t)=A_0\,e^{-k\,t}\\\frac{A_0}{2} =A_0\,e^{-k\,*22}\\\frac{A_0}{A_0*2} =e^{-k\,*22}\\\frac{1}{2} =e^{-k\,*22}\\ln(\frac{1}{2})=-k\,*22\\ k=-\frac{ln(\frac{1}{2})}{22} \\k=0.0315

Now we use this value for the decay rate "k" to calculate how long it would take to decay to 90% of the original dose;

A(t)=A_0\,e^{-0.0315\,t}\\0.9*A_0} =A_0\,e^{-0.0315\,t}\\\frac{0.9*A_0}{A_0} =e^{-0.0315\,t}\\0.9 =e^{-0.0315\,t}\\ln(0.9)=-0.0315\,t\\ t=-\frac{ln(0.9)}{0.0315} \\t=3.3447\,hours

7 0
3 years ago
10
Alona [7]
The answer is 14.3%


because if u times it by 7 u get 100 because there is 1/7 percent chance it it will be sunday then any other day of the week
5 0
2 years ago
$32 earrings marked up 20% ,,, I need explanation on how to figure out??
Ludmilka [50]
32*1.2=38.4 (.2 is the 20%, and the 1 adds the percent to the original cost making it a mark up)
5 0
3 years ago
Ken drove 174 miles in 3 hours. The equation y = 57x represents the distance in miles, y, Brenda drove in x hours. Determine who
ella [17]

To find Ken's speed divide total distance by total time:

174 miles / 3 hours = 58 miles per hour.


In the equation for Brenda, the 57 is the miles per hour because you would multiply that by x ( hours) to get total miles (y).


Ken had the faster driving speed.

8 0
3 years ago
Find 30% decrease from 95<br> 68.40<br> 63.20<br> 66.50
IgorC [24]

Answer:

66.50

stay home and be safe

7 0
3 years ago
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