5m+2(m+8)+3
5m+2m+16+3
7m+19
Since the area of the walkway is not given, it's substitution in the answer is x. You do have the measurements of the pool though. Area=length times width. 36 times 18 is 648. The area of the concrete is x-648 ft, because the pool is not apart of the concrete. The area of the walkway can be expressed by X-648 ft.
Answer:
where t is in years
Step-by-step explanation:
I'm going to assume that the expectation that Cameron has is the amount of money after t years.
We can use the simple interest formula where A is the final amount, P is the principal, r is the rate, and t is time.
We can plug in 10,000 for P and 0.05 for r, giving us
Answer:
The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft
Step-by-step explanation:
We were given the volume of the tank as, 2048 cubic feet.
Form minimum weight, the surface area must be minimum.
Let the height be h and the lengths be x
the volume will be: V=x²h then substitute the value of volume, we have
2048=hx²
hence
h=2048/x²
Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.
The surface area of the box described is
A=x²+4xh
Then substitute h into the Area equation we have
A= x² + 4x(2048/x²)
A= x² + 8192/x
We want to minimize
A
dA/dx = -8192/x² + 2 x= 0 for max or min
when dA/dx=0
dA/dx= 2x-8192/x²=0
2x=8192/x²
Hence
2x³=8192
x³=4096
x=₃√(4096)
X=16ft
Then h=2048/x²
h=2048/16²
h=8ft
The box should have base 16ft by 16ft and height 8ft
Hence the dimensions are 16 ft by 16 ft by 8 ft
Answer: The difference between M and mu is due to the sampling error is <u>-6.59
.</u>
Step-by-step explanation:
As per given:
in population, the average number of minutes spent in active play on weekends is μ = 65.87
In sample, the average number of minutes the children spend in active play on weekends is M = 59.28
Now, the difference between M and μ is due to the sampling error is M- μ
= 59.28 - 65.87
= -6.59
So, the difference between M and mu is due to the sampling error is <u>-6.59
.</u>