Answer: 23
Step-by-step explanation: Plug in your values:
7(5) + 4(-3)
35 + (-12)
35 - 12
23
Hope this helps!
Answer:
V'(4) = 48 mm³/mm
V'(4) means that the rate of change of volume with respect to side when the length of the side is 4 mm
Step-by-step explanation:
Data provided in the question
V is the volume of the cube with x as its sides
Also,
Volume of cube = side³
thus,
V = x³ mm³
Now,
Derivative of volume with respect to side x,
=
or
= V'(x) = 3x²
now,
at x = 4 mm
V'(4) = 3(4)²
or
V'(4) = 48 mm³/mm
Here, V'(4) means that the rate of change of volume with respect to side when the length of the side is 4 mm
Answer: $96.15
Step-by-step explanation:
If you study an extra 10 hours per week, for 52 weeks, in total you studied 52 times 10 hours, this is:
52*10 h = 520h hours.
Now, for these 520 hours of hard work, you earn a scholarship valued (in total) at $50,000.
Then how much is worth each one of these 520 hours?
Let's take divide the value of the scholarship evenly into the 520 hours:
$50,000/520h = $96.15.
This means that the hourly return is $96.15
Answer:
1568 in^3
Step-by-step explanation: