First we define the variable to be used:
x: half-life time period
The equation for this problem can be modeled as:
y = A * (b) ^ x
Where,
A: initial amount
b: decrease rate.
For example:
if there are 100 atoms, after one half-life time period, 50 atoms remain:
y = 100 * (0.50) ^ x
after one half-life time period (x = 1):
y = 100 * (0.50) ^ 1
y = 50
The equation that models the problem is:
y = 16 * (0.50) ^ x
The table is:
1 8
2 4
3 2
4 1
5 0.5
via the angle sum formula of sin
which proves the second choice
the third choice is wrong since for x=0,y=0 it will show that 2=1 which is incorrect
for the fourth one you can do some thing similar to choice one just expand the sum formula of sin and that should be true too
so
the first , the second and the fourth are all true
Answer:
5x^4+9x^3+6x^2+x
Step-by-step explanation:
hope that helped
Answer:
the answer is roational symmetry.
Step-by-step explanation:
Answer:
- 1, 2, 5, 8, 11
Step-by-step explanation:
Substitute n = 1, 2, 3, 4, 5 into the n th term formula
a₁ = 3(1) - 4 = 3 - 4 = - 1
a₂ = 3(2) - 4 = 6 - 4 = 2
a₃ = 3(3) - 4 = 9 - 4 = 5
a₄ = 3(4) - 4 = 12 - 4 = 8
a₅ = 3(5) - 4 = 15 - 4 = 11
The first 5 terms are - 1, 2, 5, 8, 11
