Answer:
The diameter is equal to the circumference divided by the number pi
Step-by-step explanation:
we know that
The circumference of the circular walkway is equal to
where
D is the diameter
we have
substitute
so
Divide the diameter by the circumference
The diameter is equal to the circumference divided by the number pi
Answer: 80
Step-by-step explanation:
1000 * 0.08 = 0.80 = 80
Answer:
Second box for Justifications: Subtraction Property of equality
Third box for steps: 
Fourth box for steps: 
Fourth box for Justifications: Multiplication Property of equality
Fifth box for steps: 
Answer:
14.8 cubic units
Step-by-step explanation:
The volume of the right pyramid can be calculated using formula
You are given
Then
Answer:
We can now write this is a function of time in years leading to
f
(
x
)
=
200
(
.94
)
x
f
(
5
)
≈
147
Explanation:
Firs you should consider that if its exponential then it has some form similar to
3
x
. Where we have some known part (3) and the unknown part (
x
) that we are trying to find out. Mathematically we can say it has the form
a
x
. In this case we know what the
a
is and that is the entire population that was given to us. We know over time it will change but why are we even using the exponential model.
Well it turns out that if you multiply some value over and over again it has this form. Example we multiply
2
⋅
2
⋅
2
⋅
2
=
2
4
. So if something doubled over time then this is what would happen.
Now the problem is that it will continue to decrease at the same rate leading to
a
⋅
(
.94
)
because only
94
%
of the population remains each year. After two years
a
⋅
(
.94
)
⋅
(
.94
)
. We can now write this is a function of time in years leading to
f
(
x
)
=
200
⋅
(
.94
)
x
f
(
5
)
≈
147
Step-by-step explanation:
