Answer:
The decay rate is 5%.
Step-by-step explanation:
Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function
........... (1)
Comparing this equation with the original equation given as
............ (2) we get,
⇒
⇒ r = 5%.
Therefore, the decay rate is 5%. (Answer)
Answer:
yes
Step-by-step explanation:
A relation is a function in which for each input there is only one output.
In a relation, y is a function of x.
Now we look at the mapping
For input 6, -1 is the output
for input -1, 2 is the output
for input 4, 3 is the output
for input 0, 3 is the output
For each input , there is an output. Input is not repeating. Input is occurring only once.
So this relation is a function.
Answer:
Circumscribed circle: Around 80.95
Inscribed circle: Around 3.298
Step-by-step explanation:
Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

To find the area of the circumscribed circle:

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

The area of the triangle is:

The semiperimeter of the triangle is:

The radius of the circle is therefore 
The area of the inscribed circle then is
.
Hope this helps!
Answer:
If you divide the amount $60.20 (60.20) by 5 (amount of hours), you can find out the amount of money Andrew gets paid in dollars per hour. The quotient is 12.04, $12.04. Therefore, Andrew is payed $12.04 per hour.
Step-by-step explanation:
HOPE THIS HELPS
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