Answer:
7 f(t)
Step-by-step explanation:
So, our f(t) is the number of liters burned in t days. If t is 1, f(t)=f(1) and so on for every t.
w(r) id the number of liters in r weeks. This is, in one week there are w(1) liters burned.
As in one week there are 7 days, we can replace the r, that is a week, by something that represents 7 days. As 1 day is represented by t, one week can be 7t (in other words r = 7t). So, we have that the liters burned in one week are:
w(r) = w[7f(t)]
So, we represented the liters in one week by it measure of days.
So, we can post that the number of liters burned in 7 days is the same as the number of liters burned 1 day multiplied by 7 times. So:
w (r) = w[7 f(t)] = 7 f(t)
Here we hace the w function represented in terms of t instead of r.
Answer:
286.97
Step-by-step explanation:
find the area of the rectangle first
14*15=210
Next
Find the area of a circle
πr^2=a
the radius of the circle is half the height of the rectangle
π*(7*7)=a
a=153.94
Now
Divide the area by two
153.94/2=76.97
Now add the two areas
76.97+210
Answer:
1. A. 1
2. D. 
Step-by-step explanation:
Properties used:
- Power of a Power Property
- Product Property
- Quotient Property
- Zero Exponent Property
1. First, let's deal with the numerator.
can be turned into 
by using the Power of a Power Property.
And then use the Product Property, 
So now, our fraction is this: 
All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: 
or 
. Which then you plug the numbers in: 
. And since we know that in Zero Exponent Property: 
, we can see that 
. So either way, we get 1.
So the answer is 1, which is A
2. Power of a Power Property: 
So plug the numbers in the property: 
=
Product Property: 
We plug the equation in with turned into ---
So the answer is , which is D
I hope this helps!
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Have a great day!
Answer:
The exponential growth function is 
Step-by-step explanation:
Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.
To find: exponential growth function that models the growth of the city
Solution:
The exponential growth function is given by 
Here, P denotes total population after time t
denotes initial population
k denotes rate of growth
t denotes time
As 
,
As 
