T=16x+96 so if he wants to receive 130$ a day he must work at least 3 hours of over time.
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
<h3>
How to s
olve the d
imens
ion?</h3>
Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
brainly.com/question/26740257
<h2>a</h2>
Step-by-step explanation:
Let 
be the number of ounces of caramel that has to be added to each scoop of ice cream.
So,for 
scoops,there has to be 
ounces of caramel.
It is given that for every 5 scoops of ice cream,3 ounces of caramel has to be added.
So,
and 
For 8 scoops of ice cream,there has to be 
ounces of caramel added.
But Freeze Zone adds 6 ounces of caramel.
So,Ari thinks that Freeze Zone adds more caramel
Answer:
The first one is incorrect
Step-by-step explanation:
I'm sorry if this is wrong...
The number of hours it take to watch the series twice is 18.25 hours.
<h3>
Number of hours</h3>
First step is to calculate the time it takes to watch it twice
Time=2×3.285×10^4
Time=6.57×10^4 seconds
Second step is to convert the second into hour
1 hours=3600 second
Hence:
6.57/3600×10^4
18.25 hours
Inconclusion the number of hours it take to watch the series twice is 18.25 hours.
Learn more about number of hours here:brainly.com/question/2181747
