Answer:
0.0069
Step-by-step explanation:
This is a power series problem.
The taylor power series expansion for sin(x) = x - x³/3! + (x^(5))/5! - (x^(7))/7! + (x^(9))/9! .......
Our question says we should use the first 5 terms to find the value of sin(π). Thus;
sin(π) = π - π³/3! + (π^(5))/5! - (π^(7))/7! + (π^(9))/9!
This gives;
π - (π^(3)/6) + (π^(5))/120 - (π^(7))/5040 + (π^(9))/362880 ≈ 0.0069
There are 12 possible arrangements.
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- Considering that the blue cup has to be on one end, we consider the number of arrangements possible with the other 4 cups, then multiply by 2(considering the blue on each end).
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- Considering green and yellow before red and purple, there are
outcomes(G-Y-R-P, G-Y-P-R, Y-G-R-P and Y-G-P-R). - Another two possible outcomes are yellow-purple and green-red, or vice-versa, thus 4 + 2 = 6 outcomes.
- To account for the blue on the end, multiplying by 2.

- There are 12 possible arrangements.
A similar problem is given at brainly.com/question/24617788
Answer:
7 ordered with Soda;
3 ordered with water
Step-by-step explanation:
Given
With water
With Soda
So:
--- total
-- cost
Required
Find m and n

Make m the subject

Substitute
in 


Collect like terms



Solve for n





Answer:
Step-by-step explanation:
6.7
Answer:
t= 24.75 days
Step-by-step explanation:
Here A(t) is the amount of the element that remains after some time. So they tell us that find the time it takes to basically have 4 grams remaining so A(t) = 4
4 = 10 * 0.5 ^ (t/18.72)
0.4= 0.5 ^ (t/18.72)
t= 24.75 days
Answer should make sense because half life is around 18 days which means to go from 10 g to 5g would be somewhere around 18 days but we are going to 4 g so it takes more days