Answer:
36 milliliters of rain.
Step-by-step explanation:
The rate at which rain accumluated in a bucket is given by the function:
Where r(t) is measured in milliliters per minute.
We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.
We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:
Substitute:
Integrate:
Evaluate:
36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.
I will assume that the two equations are
1) y = -x^2 +2x + 4 and 2) x +y = 4
subtract 2 from 1 and you get
y -x - y = -x^2 + 2x + 4 - 4
-x = -x^2 +2x
x^2 -x -2x = 0
x^2 - 3x = 0
x(x-3)=0
x=0 and x - 3 =0
x=0 and x = 3
Then y = 4 - x
y = 4 - 0 and y = 4 -3
y = 4 and y =1
Solutions:
Points (0,4) and (3,1)
Answer:
$1,380 per year.
Step-by-step explanation:
Theres 12 months in a year so multiplying $115 by 12 will get you $1,380 because she pays $115 per month.
If she was really committed and wanted to bake 11 pies every day for a year, she would be able to make 11•365 pies. Unless it's leap year. Then she would be able to make 11•356 pies.
Ok to find this we have to divide 12,000/5770 to find the number of half lives
we get <span>2.07972270364
we can round this decimal to 3
3 half lives</span>
