Answer:
87.72%
Step-by-step explanation:
Data provided in the question:
Design capacity of the system = 1900 students per semester
Effective capacity = 90% of design capacity
Actual number of students = 1500
Now,
Efficiency = [ [ Actual capacity ] ÷ [ Effective capacity ] ] × 100%
also,
Effective capacity = 90% of 1900
= 0.90 × 1900
= 1710
Efficiency = [ 1500 ÷ 1710 ] × 100%
= 0.8772 × 100%
= 87.72%
Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
Answer:
yes
Step-by-step explanation:
1.2.3.4
G(2) = 2 + 4/3 = 10/3
f(g(x)) = f(g(2)) = (10/3)^2 + 20/3 + 3 = 187/9 = 20 7/9 answer
-17/12 want me to explain