X=6y
sum of their reciprocals
(1/x)+(1/y)=7
x=6y
1/6y+1/y=7
1/6y+6/6y=7
7/6y=7
times both sides by 6y
7=42y
divide both sides by 42
1/6=y
x=6y
x=6(1/6)
x=6/6
x=1
the numbers are 1 and 1/6
Answer:
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the open-topped box is equal to

where

substitute

Convert to expanded form

using a graphing tool
Graph the cubic equation
Remember that
The domain for x is the interval -----> (0,1)
Because
If x>1
then
the width is negative (W=2-2x)
so
The maximum is the point (0.46,3.02)
see the attached figure
therefore
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Answer:
8.5*
Step-by-step explanation:
825 million is
825,000,000
so you need to do 8.25 and then 10 to the power of 8
so the answer is 8.5*
Answer:
35-7-7-7-7-7=0 also 35-7=28-7=21-7=14-7=7-7=0
Step-by-step explanation:
48-12-12-12-12=0 also 48-12=36-12=24-12=12-12=0
72-8-8-8-8-8-8-8-8-8=0 also 72-8=64-8=56-8=48-8=40-8=32-8=24-8=16-8=8-8=0
To efficiently double the volume of a square pyramid, you need to double the height of the pyramid.
<span>V = (1/3)Ah where A is the area of the base. If you double the height and leave A unchanged, the volume will also be doubled (replace h with 2h in the formula).</span>