Answer:
156.5
Step-by-step explanation:
Thinking process:
The area can be calculated using the formula:
We let the substitution take place.
Therefore, we let 
Thus, 
So,
Also, the interval of the integration changes to [ 37, 65]
Thus,
= 
= 156.5 units²
Answer:
3
Step-by-step explanation:
Average = total sum of all numbers/number of items in set
Average = 18/6
Average = 3
Answer:
$1,221
Step-by-step explanation:
0.11×$1,100=$121
$121+ $1100= $1221
Answer:
20 years
Step-by-step explanation:
9000/ 100= 900 = 10%
900/2= 450
450 x 2= 900
900 x 10= 9000
Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.
Answer:
The total mechanical energy is 0.712 J.
Step-by-step explanation:
A blue 573 g mobile is moving on a metal rail. If on the mobile, the spring exerts a force to the right of modulus 0.85 N and in the indicated position the kinetic energy of the mobile-spring system is 0.47 J and its elastic potential energy is 0.242 J. Determine the mechanical energy of the system mobile-spring in the position shown as indicated in the figure.
The total mechanical energy is given by the sum of the kinetic energy and the potential energy.
Kinetic energy = 0.47 J
Potential energy = 0.242 J
The total mechanical energy is
T = 0.47 + 0.242 = 0.712 J
