Answer:
it's the one on the bottom right of the screen
The interval where the function is nonlinear and decreasing is 0 < x < 4
<h3>How to determine the interval where the function is nonlinear and decreasing?</h3>
The straight lines on the graph are the intervals where the graph is linear
This means that the straight lines on the graph will not be considered
Considering the curve, the graph decrease from x = 0 to x = 4
This can be rewritten as:
0 < x < 4
Hence, the interval where the function is nonlinear and decreasing is 0 < x < 4
Read more about function intervals at:
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Answer:
Initial amount is 523 grams
Amount after 100 years is 52 grams
Step-by-step explanation:
General exponential function for radioactive substances is given by
A(t) = Ao(1/2)^t/t1/2
Where,
A(t) is the amount remaining after t years
Ao is the initial amount of the radioactive substance
t is the number of years required for the radioactive substance to decay to A
t1/2 is the half-life of the radioactive substance
Comparing A(t) = 523(1/2)^t/30 with the general exponential function
Initial amount (Ao) = 523 grams
A(t) = 523(1/2)^t/30
t = 100
A(100) = 523(1/2)^100/30 = 523×0.5^3.333 = 523×0.0992 = 51.8816 = 52 grams (to the nearest gram)
Answer:
<u>yes your formula is correct </u>
Step-by-step explanation:
Answer:
The inverse represents the temperature F corresponding to a temperature C.
The domain of the inverse function is all real numbers.
194°F
Step-by-step explanation:
Let C= y
y= 5/9 (F - 32),
F= 9/5y + 32
But y= C, hence;
F= 9/5 C +32
The inverse represents the temperature F corresponding to a temperature C.
Given;
F= 9/5 C +32
The domain of the inverse function is all real numbers.
Given C= 90°
F= 9/5 C +32
F= 9/5 (90°) +32
F= 194°F
