Answer:
v = 8.49 m/s rounded off to 3 significant figures
Step-by-step explanation
Using Energy Conservation
U = Tk + Vp (Sum of kinetic Tk Energy and gravitational potential Vp Energy)
- At height = 3.67 m, the hammer was still or the velocity was negligible; hence, vi = 0 m/s.
- Ui = 0 + mgh
- At ground all potential energy is converted to kinetic; hence, Uf =
mv². - Since total energy of the system remains constant we equate Ui to Uf.
- Ui = Uf
- mgh = mv²
- After cancelling out masses and making v the subject of the formula we get:
v = ![\sqrt[2]{2gh}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B2gh%7D)
= ![\sqrt[2]{2*9.81*3.67}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B2%2A9.81%2A3.67%7D)
= 8.49 m/s rounded off to 3 significant figures
A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.
“Or” indicates that, as long as either statement is true, the entire compound sentence is true.
Now as shown in the graph, the solution inequality of the graph is :
x > 3 and x < 5 [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]
Now let's solve each option to find if it fits in with the above inequality
Option 1 : 2x-4 > 6 or 3x < 9
⇒ x > 5 or x < 3
Option 2 : 2x - 4 < 6 and 3x > 9
⇒ x < 5 and x > 3
Option 3 : 3x + 8 > -7 or -4x < 12
⇒ 3x > -15 or x < -3
⇒ x > -5 or x < -3
Option 4 : 3x + 8 < -7 and -4x > 12
⇒ 3x < -15 and x > -3
⇒ x < -5 and x > -3
So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9
has its solution set on the graph.
<u>Answer: </u>
clerk A and clerk B can simultaneously stock a shelf in 
minutes
<u>Explanation:</u>
Let the first clerk be A and the second clerk be B
A can stock a shelf in 20 min
B can stock a shelf in 45 min
Consider the complete work to be W
A’s rate of stocking = 
per minute
B’s rate of stocking = 
per minute
When, A and B work simultaneously, rate of work done = 
Total work done simulatenously = 
=
Therefore, clerk A and clerk B can simultaneously stock a shelf in minutes
Divide both sides by 2 Since 2 Is multiplying P.
2P-12=p
/ /
2 2
P=6
Where is the “following”? is there a picture?
