Answer:
We know that the area of the square of side length L is:
A = L*L = L^2
In this case, we know that the area is:
A = 128*x^3*y^4 cm^2
Then we have:
L^2 = 128*x^3*y^4 cm^2
If we apply the square root to both sides we get:
√(L^2) = √( 128*x^3*y^4 cm^2)
L = √(128)*(√x^3)*(√y^4) cm
Here we can replace:
(√x^3) = x^(3/2)
(√y^4) = y^(4/2) = y^2
Replacing these two, we get:
L = √(128)*x^(3/2)*y^2 cm
This is the simplest form of L.
The best and most correct answer provided from your question about the solution of a logarithmic equation is the fourth option which is x = 4. The solution to the equation is as follows:
We can transform the expression to:
(3x-7)^2 = 25
Solving for x using your algebra:
x = 4
I hope it has come to your help.
Hi Kristian
a - 3b = 22
a = b - 2
We need to solve a = b -2 for a
First, we need to substitute b - 2 for a in a - 3b = 22
a - 3b = 22
b - 2 - 3b = 22
-2b - 2 = 22
-2b = 22 + 2
-2b = 24
b = 24/-2
b = -12
Now substitute -12 for b in a = b - 2
a = b -2
a= -12 - 2
a= -14
Thus, the solution is a = -14 and b = -12
The correct option is the last one (-14,-12)
If you have questions about my answer, please let me know.
Good luck!
Answer:
Regression function: 
The function predicts that population will reach 14,000 in year 2068.
Step-by-step explanation:
We have to determine a function 
by applying linear regression. The data we have is 5 pair of points which relates population to year.
According to the simple regression model (one independent variable), if we minimize the error between the model (the linear function) and the points given, the parameters are:
We start calculating the average of x and y
The sample covariance can be calculated as
The variance of x can be calculated as
Now we can calculate the parameters of the regression model
The function then become:
With this linear equation we can predict when the population will reach 14,000:
