Answer: a - 4.512 hours
b - 1.94 hours
Step-by-step explanation:
Given,
a) A(t) = 10 (0.7)^t
To determine when 2mg is left in the body
We would have,
A(t) = 2, therefore
2 = 10(0.7)^t
0.7^t =2÷10
0.7^t = 0.2
Take the log of both sides,
Log (0.7)^t = log 0.2
t log 0.7 = log 0.2
t = log 0.2/ 0.7
t = 4.512 hours
Thus it will take 4.512 hours for 2mg to be left in the body.
b) Half life
Let A(t) = 1/2 A(0)
Thus,
1/2 A(0) = A(0)0.7^t
Divide both sides by A(0)
1/2 = 0.7^t
0.7^t = 0.5
Take log of both sides
Log 0.7^t = log 0.5
t log 0.7 = log 0.5
t = log 0.5/log 0.7
t = 1.94 hours
Therefore, the half life of the drug is 1.94 hours
You can look at -32 as being -2^5 so if you write (-2^5)^3/5 the 5's cancel out making it -2^3 which equals -8
Answer:
Step-by-step explanation:
It would be 2.43ft cubed. You first have to multiply 6 x 9 to get 54 and then Do 54 x 4.5 to get 243 ft cubed. Next you have to put it in fraction form 243/100. After that you have to divide 243 by hundred( you can do this by moving the decimal place two places to the left) and you get the answer 2.43 ft cubed
Answer:
Note: If this is really sixth grade math, then im a cucumber. It's way easier than MY math, and I'm in 6th grade lol :P
Another Note: Please vote me "Brainliest", I put a lot of work into this :)
1. 40
2. 60
3. 1.35
4. 6
5. Do this yourself, it requires actually explaining and you have to use your own words. :)
6. Do this yourself, it requires actually explaining and you have to use your own words. :)
7. Do this yourself, it requires actually explaining and you have to use your own words. :)
8. 600 people
9. 4200 people
10. 149 people
11. Sahil came up with his answer so quickly because if 45 is 10% of <em>x</em>, then obviously 30% of x would be 45 times 3 and that is 135. Due to this, he quickly new that the number of people between the ages of 30 and 49 that voted is 135 people.
That's it, please heart my answer and vote me brainliest :)
Step-by-step explanation:
Do you really need this part? I didn't do it because it would take forever LOL
Answer:
44/60=11/15
Step-by-step explanation: