W={x|x is an integer and -1
1 answer:
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Answer:
Step-by-step explanation:
Let the ends of the given segment are A and B.
Coordinates of A → (8, 6)
Coordinates of B → (12, 12)
If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,
(x, y) → (kx, ky)
If k =
(x, y) →
By this rule coordinates of the image points of A and B will be,
A(8, 6) →
→ A'(5.3, 4)
B(12, 12) →
→ B'(8, 8)
Now we can get the image of segment AB after dilation by a scale factor of .
Answer:
A. number of decayed atoms = 73.197
Step-by-step explanation:
In order to find the answer we need to use the radioactive decay equation:
where:
N0=initial radioactive atoms
t=time
k=radioactive decay constant
In our case, when t=0 we have 1,000,000 atoms, so:
Now we need to find 'k'. Using the provied information that after 365 days we have 973,635 radioactive atoms, we have:
A. atoms decayed in a day:
Number of atoms decayed in a day = 1,000,000 - 999,926.803 = 73.197
B. Because 'k' represents the probability of decay, then the probability that on a given day 51 radioactive atoms decayed is k=0.0000732.