The correct answer is A. <span>0.125
</span><span>
1/8(this is a fraction)</span>
(divide the numerator by the denominator)
1÷8 = 0.125
If you want you can Convert the number to a percentage:<span>
0.125×100=12.5%
but the question is asking for decimal form therefore the answer is </span>0.125.
I also did the quiz and this was correct
Hope this helps!! :D
The volume of the shape
We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.
External radius = internal radius + thickness
Internal radius = 4ft (given)
Recall that the volume(V) of a full cylinder is:
Since the cylinder is cut into two, the volume(V) is:
height (h) = 12ft (given)
The volume of the shape:
Step 1. Solve both inequalities for
:
Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines
and
:
(1)
(2)
Replace (1) in (2):
Solve for
:
(3)
Replace (3) in (1):
We can conclude that the point (-2,3) is in the solution of the system if <span>
inequalities</span>
; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.
Answer:
c
Step-by-step explanation:
Step 1: calculate the number
everytime the number goes up by 5 so we can assume that it will be 25
step 2: find the letter
it just goes by the alphabet so we can assume it will be e.
the letter always follows the number and it alternates between uppercase and lower case and last time it was uppercase so it will be lowercase.
Therefore it will be 25e
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m