A(t) = Ao*e^(-rt)
-rt = ln [ A(t)/ Ao]
t = - ln [ A(t)/ Ao] / r
r= 0.0124% = 0.0124/100 = 0.000124
A(t)/A0 = 10% = 10/100 = 0.1
Now substitute
t = - ln [0.1] / 0.000124 = 2.3025851 / 0.000124 = 18,569 years
Your result will depend on how you round ln(0.1).
Answer:
A. {−3.5, −2, 1, 2.5}
Step-by-step explanation:
Remember that the range is the possible values for Y in any given function, so in this case, we are given the Y values and we have to solve the function for x:
y=9+6x
6x=y-9
So we just insert the values, the first one being -12.
So since from the options only A has -3.5 as an option that's the correct answer.
hoped this helped! <3
Answer:
(f - g)(x)= - 6 {x}^{2} - 8x + 9
(f - g)(-4!)= - 55
Step-by-step explanation:

Answer:
19 seconds.
Step-by-step explanation:
Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:
1 PM = 13:00
13 - 7 = 6
228/6 = 38
38/2 = 19
Thus, every half hour the clock is delayed 19 seconds.
We are given
area of sphere is 200.96cm^2
it means that we are given surface area
so, we can use surface area formula

where S is surface area
r is radius
so, firstly we need to find radius or r

we can solve for r

now, we can find volume

we can plug r

now, we can find volume
.............Answer