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
What is the mean of 8,7,6,9,8.5,7.5,10,5.5,7,9,8.5,7,9.5,8,8.5
jek_recluse [69]
Answer:
the mean is 7.93
Step-by-step explanation:
min5.5
median8
max10
Answer:

Option C is the correct option.
Step-by-step explanation:
Let the points be A and B
Let A ( 7 , 8 ) be ( x₁ , y₁ ) and B ( 4 , 2 ) be ( x₂ , y₂ )
<u>Finding</u><u> </u><u>the</u><u> </u><u>distance</u><u> </u><u>between</u><u> </u><u>these</u><u> </u><u>points</u>






Hope I helped!
Best regards! :D
Answer: 10x + 20
Step-by-step explanation:
10 (x + 2)
Distribute
10x + 20