Answer:
5.714 liters of the 5% solution and 4.286 of the 40%.
Step-by-step explanation:
Let x be the volume of 40% solution and y = volume of the 5% solution.
x + y = 10
0.40x + 0.05y = 0.20(x + y)
From the first equation x = 10 -y so we have:
0.40(10 - y) + 0.05y = 0.20( 10 - y + y)
4 - 0.40y + 0.05y = 2
-0.35y = -2
y = 5.714 liters of the 5%.
and x = 10 - 5.714 = 4.286 liters of the 40% solution.
Step-by-step explanation:
Answer:
The required recursive formula is
Step-by-step explanation:
Mohamed decided to track the number of leaves on the tree in his backyard each year.
The first year there were 500 leaves
Each year thereafter the number of leaves was 40% more than the year before so that means
For the third year the number of leaves increase 40% than the year before so that means
Similarly for fourth year,
So we can clearly see the pattern here
Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is
This is the required recursive formula to find the number of leaves for the nth year.
Bonus:
Lets find out the number of leaves in the 10th year,
So there will be 10330 leaves in the 10th year.
Answer:
C
Step-by-step explanation:
25 is the length of x, using the 30-60-90 special triangle method
Answer:
(assuming this isn't actually for math?) but one reason is bc science shouldn't be always taken as fact. science can be wrong.
Explanation:
not all but many scientists are skeptical and won't accept anything without proof, and even when things are accepted as right they can still be wrong later. example: humans once believed the planets revolved around the earth and that the earth was flat (even, some people still believe the earth is flat today....) but both those things are generally unaccepted today.
science shouldn't be viewed as fact always, because accepting everything as fact will lead to misassumptions and false information. it's like we should never take things for granted
