Answer:
Work done in stretching the spring = 7.56 lb-ft.
Step-by-step explanation:
Normal length of the spring = 8 in or
ft
=
ft
If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in
=
ft
Force applied to stretch the spring = 12 lb
By Hook's law,
F = kx [where k is the spring constant and x = length by which the spring is stretched]
12 = k(
)
k = 18
Work done (W) to stretch the spring by
ft will be
W = 
= 
= ![18[\frac{x^{2}}{2}]^{\frac{11}{12}}_0](https://tex.z-dn.net/?f=18%5B%5Cfrac%7Bx%5E%7B2%7D%7D%7B2%7D%5D%5E%7B%5Cfrac%7B11%7D%7B12%7D%7D_0)
= 9(
)²
= 7.56 lb-ft
Answer:
B
Step-by-step explanation:
24 times 5=120
9 times 24=216
8 times 24=192
7 times 24=168
She would get payed the most
(216) for 24 days a month
Answer:

Step-by-step explanation:
Given


Required
After how many minutes, will they round together
First, convert the given time to minutes









So, we have:


List out the multiples of the time of both security personnel take round.


In the above lists, the common time is:

<em>This implies that they go on round after </em>
<em></em>
We have been given that the standard deviation of a group of 20 scores is 15 and we are asked to find variance.
Since we know variance is square of standard deviation. In order to find out the variance of the given data we have to take the square of 15.

Therefore, our variance is 225.
Answer:
the slope is 4
Step-by-step explanation:
y+3=4(x-5)
This is in point slope form
y-y1=m(x-x1)
where (x1,y1) is a point on the line and m is the slope
The slope is 4 and a point on the line is (5,-3)