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: 175
Step-by-step explanation: total = x + 5y dollars and dollars = 300 so
x + 5y = 300 then since we know y = 200 we can substitute that
x + 5(200) = 300 then subtract x from 200
x + 5(200 - x) = 300 now solve for x
x + 5(200) + 5(-x) = 300 we know 5 times 200 is 1000
x + 1000 - 5x = 300 then subtract 5x - x = -4x
-4x + 1000 = 300 switch around 1000 and 300
-4x = 300 - 1000 subtract 300 - 1000 = -700
-4x = -700 multiply
x = -700/(-4) then finish up and solve
x = 175
hope this helps please mark brainliest if you can
Answer:
$274.77
Step-by-step explanation:
213.00 ÷29 =61.769999 then add 213.00 plus 61.76
I actually rounded up maybe I shouldn't of then answer would be $274.76. im not postive this is correct .
The answer is D because is you add a one under the 9 you get 9/1 x 2/3 and you can just multiply straight away and get 18/3 but if you need to simplify more you get 6
Answer:
C. 72 cm^3
Step-by-step explanation:
Volume of rectangular prism is length times width times height
