Answer is
Domain: (- infinity, + infinity) or all real numbers
range: (- infinity, + infinity) or all real numbers
Discrete or continuous: continuous
This is a cubic function at the origin, so the domain and range will always be all real numbers. Domain is continuous because it goes on forever
Answer:
Half life of the radioactive element is 5 days.
Step-by-step explanation:
Formula to get the final amount after the radioactive decay in 't' days,
Here = Initial amount
λ = Decay constant
t = duration of decay
= Final amount
0.01 =
ln(0.01) =
-4.6052 = -34λ
λ = 0.13544
Since, λ =
= 5.11
≈ 5 days
Therefore, half life of the radioactive element is 5 days.
2x - 24 = x - 2
2x - x = -2 + 24
x = 22
BC = x = 22
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15