Let Q(t) = the mass (mg) remaining after t hours.
We are told that Q diminishes by 3% every hour.
When t = 0, Q = 4 mg
When t = 1, Q = 4*0.97 mg
When t = 2, Q = 4*(0.97)² mg
By induction,

Q'(t) = 0.97Q
Therefore the rate of decrease is 3% per hour.
The person receives an additional dosage when Q falls to 0.50 mg. This happens when

After the second injection, the mass is now 4.5 mg. Therefore

When the mass again reaches 0.50 mg, then

Answers:
(a)

(b) 3% per hour
(c) 68.3 hours
(d) 72.1 hours
A=3B
4.35A+5.40B=780.95
Substitute 3B into A for the second equation:
4.35(3B)+5.40B=780.90
13.05B+5.40B=780.90
18.45B=780.90
B=42.33
Plug into equation 1:
A=3B
A=3(42.33)
A=126.98
Answer:
choice number 2) 10 in, 18.5 in 31.5 in
Step-by-step explanation:
we collect and evaluate the like terms.like terms means the ones that can be evaluated. like 2y and 7y are like terms. they either can be added or subtracted to get an answer . 7y-2y =5y. but you cant subtrac or add 7y with 5 because they are not like terms.
2y +1 + 7y + 3y + 5 = 60
(2y+7y+3y)+(1+5) = 60
12y + 6 = 60
The 6 crosses the equal sign to the other side because of like terms.And becomes a minus
12y = 60 - 6
12y = 54
y = 4.5
so,
2y +1= 2 x 4.5 + 1 =10
7y = 7 x 4.5 = 31.5
3y + 5= 3 x 4.5 + 5 =18.5
Answer is 10 in, 18.5 in, 31.5 in
If you need any clarification or more explanation pls do mention at the comment section so that i can help more thx
Hope this helps and if it does pls mark as branliest answer thx
Answer: do you mean which is the closest? If so that would be mars
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The solution is at the points of intersections of the graphs
The graphs intersect at (- 3, 0 ) and (2, 5 ) , then
solutions are (- 3, 0 ) and (2, 5 )