Answer:
1) 
, 2) The value of 
is 3, 3) The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
Step-by-step explanation:
Let be a rectangle with a length of 
feet and a width of 3 feet. The area (
), measured in square feet, and perimeter (
), measured in feet, formulas are, respectively:
(Eq. 1)
(Eq. 2)
1) Now, we assume that 
, then we reduce the system of linear equation into a sole linear equation:
(Eq. 3)
2) We proceed to solve for :
The value of is 3.
3) Lastly, we obtain the values of the perimeter and area:
The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
Answer:
there are no solutions
Step-by-step explanation:
x-3y=-3
-2x+6y=12
multiply the first equation by 2
2( x-3y)=-3*2
2x-6y = -6
add the 2 equations together
2x-6y = -6
-2x+6y=12
-------------------
0 = -6
this is not true
so there are no solutions
6 ,12 ,18, 24, 30 ,36 ,42, 48,
She will keep adding by 6
Answer:
Here is the full question:
Find the sum of the convergent series by using a well-known function. (Round your answer to four decimal places.) Σ_(n=1)^∞ (-1)^n+1 1/7^n n
Step-by-step explanation:
Σ_(n=1)^∞ (-1)^n+1 1/7^n n
We will use the function In (1 + x)
We will now give a power series expansion of the function while it is centered at x=0
This will give us In (1 + x) = Σ_(n=1)^∞
Note that x= 1/7
Now let us equate the two equations
Σ_(n=1)^∞
= ㏑(1 + x)|
= ㏑
Sum of the series will give ㏑
Answer:
5
Step-by-step explanation:
If <em>e = 7,</em> you would replace e in the expression <em>e - 2 </em>with 7 so that the expression becomes <em>7 - 2</em> which results in 5.
Does that help?
