Answer:
24/325 m ≈ 7.38 cm
Step-by-step explanation:
The equilibrium position of the package is the distance at which the package weight is balanced by the spring force. That distance is ...
(12 N)/(325 N/m) = 12/325 m
Since the package is placed suddenly on the pan and there are no losses in the system, the position of the package will oscillate about this distance with an amplitude equal to this distance. That is, the maximum compression will be to a distance that is twice this amount, or ...
24/325 m
__
This is the depth at which all of the potential energy of the package due to its height is transformed into the potential energy of the spring due to its compression.
Answer:
12, 13, 14
Step-by-step explanation:
Three consecutive numbers means three numbers in a row, so if n is the first number, the second number is one more than n (which is n+1) and the third number is one more than that (which is n+2)
So three times (3 x) the first number (n) is equal to (=) nine more than (9 +) the sum of the other two ( (n+1) + (n+2) )
3 times n can be written as 3n
So 3n = 9 + (n+1) + (n+2)
3n = 9 + n + 1 + n + 2
3n = 9 + 1 + 2 + n + n
3n = 12 + 2n
Subtract 2n from each side
3n - 2n = 12 + 2n - 2n
1n = 12
n = 12
So the first number is 12, the second number is 12 + 1 (13) and the third number is 12 + 2 (14)
The numbers are 12, 13, 14
Hope this helps :)
|-5|-(-5)
The absolute value of any number is always positive
5-(-5)
When there is a in front of an expression in parentheses, change the sign of each term in the expression
5+5
Add the numbers
10
Answer=10
Write <em>z</em> in exponential form:
Then taking the logarithm, we get
so a is the correct answer.
Answer:
1/8, 0.0625
, or 6.25%
Step-by-step explanation:
50% of the cars are painted white.
1/2 * 1/2 = 1/4 * 1/4 = 1/8
Probability of A occuring 4 time(s) = 0.54 = 0.0625
Probability of A NOT occuring = (1 - 0.5)4 = 0.0625
Probability of A occuring = 1 - (1 - 0.5)4 = 0.9375
