1/4 is the answer is is a lower fraction
A vertical shift adds/subtracts a constant to/from every y-coordinate while leaving the x-coordinate unchanged. A horizontal shift adds/subtracts a constant to/from every x-coordinate while leaving the y-coordinate unchanged. Vertical and horizontal shifts can be combined into one expression.
Shifting up or to the right means add
Shifting down or to the left means subtract
the 3rd option is the correct one
1 mile = 1760 yards
20 * 1.151 = 23.02
23.02 * 1760 = 40,515.2
40,515.2 / 60 = 675.243~
675.243~ / 60 = 11.2542~
They are traveling 11.25 yards per second
I took the number of knots multiplied by the approximate miles per hour equal
Then multiplied that by the number of yards in a mile, and then divided that by the number of minutes in an hour, and divided that by the number of seconds in a minute. That is how I got the answer, I hope it helps!
In this big ol' word problem, this is just an instance of basic multiplication/division.
If it takes it 1 hour for 3 meters...
12 ÷ 3 = 4.
It would take 4 hours for the water level to change to 12 meters.
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
