Answer:
Sphere Volume = (4/3) * PI * radius^3
radius = cube root (Sphere Volume) / (4/3)*PI
radius = cube root (5,600) / (4/3)*PI
radius = 11.016 cm
radius = 11 cm (rounded)
Answer is B
Step-by-step explanation:
Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as 
, where 
and 
.
Expand the function to obtain:
Differentiate wrt x to obtain:
To find the point where the maximum value occurs, we solve
Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
, 
This means the maximum volume occurs at 
.
Substitute into to get the maximum volume.
The maximum volume of the open box is 24.26 cm³
See attachment for graph.
Answer:
D
Step-by-step explanation:
Current coordinate of R : ( 1,5 )
Applying translation with rule (x,y) --> (x+1 , y-1)
Coordinate after translation ( 1 , 5 ) ==> ( 1 + 1 , 5 - 1 ) ==> ( 2 , 4 )
applying dilation with scale factor of 3 , to apply dilation multiply x and y values by scale factor which is 3
Coordinate after dilation ( 2 , 4 ) ==> ( 2 × 3 , 4 × 3 ) ==> ( 6 , 12 )
The final coordinate is ( 6 , 12 )
Answer:
1 9/16
Step-by-step explanation:
First, you do 25 - 16, and the answer is 9. After that you put a 1, as its a whole. Lastly, you put the 9 on top of the 16.
Answer:
B. The number of years between adjustments in the interest rate
Step-by-step explanation:
The "5" in "5/1" means there will not be any adjustment in interest rate for the first 5 years.
The "1" in "5/1" means interest rates may be adjusted at 1-year intervals after the initial 5-year period.
