Answer:
- k = 0.005
- doubling time ≈ 139 years
Step-by-step explanation:
Matching the form
A = A0·e^(kt)
to the given equation
A = 8·e^(.005t)
we can identify the value of k as being 0.005.
k = 0.005
___
The doubling time is given by the formula ...
t = ln(2)/k = ln(2)/0.005 ≈ 138.63
It will take about 139 years for the population to double.
Answer: 83 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees. If you add 12 + 85 you get 97, then you do 180 - 97, and you get 83.
I can't help really, in terms of showing steps because I haven't been taught this yet..
but using an online calculator... I found that x ≤ 20.
Graph:
|-----------------|-----------------|
-20 0 20
Answer:
130} \atop {15.99+0.09*(m-130),m>130}} \right.[/tex]
Step-by-step explanation:
We will have a partial funcion to define an expression for the monthly phone charge, because we have a condition that changes the monthly cost.
For months under 130 minutes, there will not be any additional charge other that tha base monthly cost, so the expression for the months under 130 minutes will be the monthly fee.
For months over 130 we will have the same information than above, but we have to add a fee for every minute over 130 minutes. To find the amaunt of minutes over 30 minutes we will just subtract 130 to the amount of minutes used: (m-130). Then we will multiply that number times the cos of each minute over 130 minutes: 9*(m-130). Finally we will add the basic phone fee: 15.99 + (0.09*(m-130)).
Now we set the conditions and use the correct notation for a partial function and we get:
130} \atop {15.99+0.09*(m-130),m>130}} \right.[/tex]
For properties of logarithm we have the following:
loga (x ^ b) = b * loga (x)
Therefore, following this property we have for this case:
log3 (x ^ 9) = 9log3 (x)
Answer:
the power property to rewrite log3x9 is:
B) 9log3x