Answer:65ft
Step-by-step explanation:area of a square is =s^2
Therefore 4225=s^2
Find the square root of both sides
√4225=√s^2
Therefore s=65
Each side is 65ft
Answer:
, it is the amount of money earned per number of hours of work, x
Step-by-step explanation:
Here we have two functions:

This function represents the amount of money (the earning) per unit x
Then we have the function

which represents the number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works.
Here we want to find the composite function
which means that we use the output of
as input for
. In this context, this means that the function
represents the amount of money earned per number of hours of work, x.
Substituting g(x) into the x of f(x), we find:

Answer:
∂u/∂xi = i·cos(sn)
Step-by-step explanation:
For u = sin(v), the partial derivative of u with respect to xi is ...
∂u/∂xi = cos(v)·∂v/xi
In this case, v=sn, and ∂sn/∂xi = i, so the derivatives of interest are ...
∂u/∂xi = i·cos(sn)
80 Because the numbers are going up by 10
Answer:
There will be 50 bacteria remaining after 28 minutes.
Step-by-step explanation:
The exponential decay equation is

N= Number of bacteria after t minutes.
= Initial number of bacteria when t=0.
r= Rate of decay per minute
t= time is in minute.
The sample begins with 500 bacteria and after 11 minutes there are 200 bacteria.
N=200
= 500
t=11 minutes
r=?



Taking ln both sides



To find the time when there will be 50 bacteria remaining, we plug N=50,
= 500 and
in exponential decay equation.


Taking ln both sides




minutes
There will be 50 bacteria remaining after 28 minutes.