76 multiplied by 30 divided by 100 is the answer
Answer:
2 <= x < 8
Step-by-step explanation:
2 is less than or equal to x and the symbol for that is <=
the least number should also be on the left side
8 is greater than x so the symbol is <
8 is the biggest number and goes on the right
Answer:
The value of the damping coefficient γ is (6/19)√29, which is approximately 1.70058.
Step-by-step explanation:
Given that a certain vibrating system satisfies the equation
u'' + γu' + u = 0
We wish to find the value of the damping coefficient γ for which the quasi period of the damped motion is 90% greater than the period of the corresponding undamped motion.
The period of the undamped motion T is 2π
The quasi period T_d is (4π)/√(4 - γ²)
Since the quasi period is 90% greater than the period of the undamped motion, we have
T_d = 1.9T
So that we can finally obtain
γ as 1.70058.
THE STEP-BY-STEP WORKING IS SHOWN IN THE ATTACHMENTS.
Let <em>n</em> be the smallest of the three numbers. Then
<em>n</em> + (<em>n</em> + 1) + (<em>n</em> + 2) = 5 ((<em>n</em> + 1) - 22)
Solve for <em>n</em> :
3<em>n</em> + 3 = 5 (<em>n</em> - 21)
3<em>n</em> + 3 = 5<em>n</em> - 105
2<em>n</em> = 108
<em>n</em> = 54
Then the three numbers are 54, 55, and 56.