Answer:
.
Step-by-step explanation:
An exponential function is typically in the form
, where
and
(
) are constants to be found.
In this question:
means that
.
means that
.
Divide one of the two equations by the other to eliminate
and solve for
.
The number of the right-hand side of the second equation is larger than that of the first equation. Hence, divide the second equation with the first:
.
.
.
.
Substitute
back into either equation (for example, the first equation) and solve for
:
.
.
Substitute
and
into the other equation. That equation should also be satisfied.
Therefore, this function would be:
.
The length is 2.4
1.2 times 2 to take away the both width sides
minutes 2.4 from 7.2 you get 4.8 then divide by two because it’s a rectangle it has to length side and you get 2.4
Subtract the thickness of the known piece from the total thickness.
Because they have different denominators rewrite them to have the same.
9/32 x 2 = 18/64
Now you have 33/64 - 18/64 = 15/64
The other piece is 15/64 inch thick.
is 12.5 ok I think ,......................,,,,,,
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².