For Valentine's Day last year Sonia's flower shop delivered 68 flower arrangements. This year they delivered 95. How many more f
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<span>From the message you sent me:
when you breathe normally, about 12 % of the air of your lungs is replaced with each breath. how much of the original 500 ml remains after 50 breaths
If you think of number of breaths that you take as a time measurement, you can model the amount of air from the first breath you take left in your lungs with the recursive function
Why does this work? Initially, you start with 500 mL of air that you breathe in, so
. After the second breath, you have 12% of the original air left in your lungs, or 
. After the third breath, you have 
, and so on.
You can find the amount of original air left in your lungs after
breaths by solving for 
explicitly. This isn't too hard:
and so on. The pattern is such that you arrive at
and so the amount of air remaining after
breaths is
which is a very small number close to zero.</span>
when you breathe normally, about 12 % of the air of your lungs is replaced with each breath. how much of the original 500 ml remains after 50 breaths
If you think of number of breaths that you take as a time measurement, you can model the amount of air from the first breath you take left in your lungs with the recursive function
Why does this work? Initially, you start with 500 mL of air that you breathe in, so
You can find the amount of original air left in your lungs after
and so on. The pattern is such that you arrive at
and so the amount of air remaining after
which is a very small number close to zero.</span>
9514 1404 393
Answer:
9. ±1, ±2, ±3, ±6
11. ±1, ±2, ±3, ±4, ±6, ±12
Step-by-step explanation:
The possible rational roots are (plus or minus) the divisors of the constant term, divided by the divisors of the leading coefficient.
Here, the leading coefficient is 1 in each case, so the possible rational roots are plus or minus a divisor of the constant term.
__
9. The constant is -6. Divisors of 6 are 1, 2, 3, 6. The possible rational roots are ...
±{1, 2, 3, 6}
__
11. The constant is 12. Divisors of 12 are 1, 2, 3, 4, 6, 12. The possible rational roots are ...
±{1, 2, 3, 4, 6, 12}
_____
A graphing calculator is useful for seeing if any of these values actually are roots of the equation. (The 4th-degree equation will have 2 complex roots.)
