5^3(5^x) the rule is a^b(a^c)=a^(b+c)
5^(3+x)
Answer:
d
Step-by-step explanation:
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:
39.407m
Step-by-step explanation:
sin 66deg = 36/length of cable
length of cable = 36/sin 66deg = 39.407m (5sf)