Let the number be x
3x - 5 = 14
3x = 19
X = 6 1/3 or 6.333333...
K=8k+28
subtract 8k from both side
-7k = 28
divide both side by -7
k= -4
Answer:
This can be found by using the permutations and combinations formuals.
Combinations being the C equation and Permutations being the P equation.
![P(n,r)=\frac{6!}{(6-6)!}=720](https://tex.z-dn.net/?f=P%28n%2Cr%29%3D%5Cfrac%7B6%21%7D%7B%286-6%29%21%7D%3D720)
Explanation:
A permutation is used for the list of data (where the order of the data matters) and the combination is used for a group of data (where the order of data doesn't matter).
16 pounds because 7258 grams goes into 16.001
Answer:
The length of the pendulum is 14.13 meters.
Step-by-step explanation:
The length of a pendulum is given by the formula,
, where T is the times period and L is the length of the pendulum.
Now, given that T = 2.4π seconds.
So, from the above equation, we get,
![2.4\pi = 2\pi \sqrt{\frac{L}{g} }](https://tex.z-dn.net/?f=2.4%5Cpi%20%20%3D%202%5Cpi%20%20%5Csqrt%7B%5Cfrac%7BL%7D%7Bg%7D%20%7D)
⇒ ![\sqrt{\frac{L}{g}} = 1.2](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7BL%7D%7Bg%7D%7D%20%3D%201.2)
⇒
{We have the value of g as 9.81 m/sec²}
⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)
Therefore, the length of the pendulum is 14.13 meters. (Answer)