Answer:
5
Step-by-step explanation:
3x5x7x9=945
9 is in the hundreds place
4 is in the tens
which means 5 must be in the ones
16x + 9 = 9y-2x Add 2x to both sides
18x + 9 = 9y Divide both sides by 9
2x + 1 = y Switch the sides to make it easier to read
y = 2x + 1
Given:
U be the set of all books, N the set of all novels, and H be the set of all hardcover books.
To find:
The description for the sets
and
in words.
Solution:
We have,
U = The set of all books
N = The set of all novels
H = The set of all hardcover books.
We know that
means common elements of set N and set H.
Therefore,
is set of all books that are both novels and hardcover books.
We know that
is the set of elements of universal set except the elements of set H.
Therefore,
is the set of all books that are not hardcover books.
Answer:
1
Step-by-step explanation:
Hello!
Remember that kinetic energy is one that is produced by the speed of a body that has mass. The equation is as follows.
![E=\frac{MV^2}{2}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7BMV%5E2%7D%7B2%7D)
Where
E=kinetic energy
m=mass
V=speed
To solve this problem we must raise the equation for the kinetic energy of the sphere and the kinetic energy of the cylinder.
for cilinder
![Ec=\frac{McVc^2}{2}](https://tex.z-dn.net/?f=Ec%3D%5Cfrac%7BMcVc%5E2%7D%7B2%7D)
for spherical shell
![Es=\frac{MsVs^2}{2}](https://tex.z-dn.net/?f=Es%3D%5Cfrac%7BMsVs%5E2%7D%7B2%7D)
as the problem indicates the kinetic energy is the same, so we can match the previous equations
![\frac{MsVs^2}{2}=\frac{McVc^2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BMsVs%5E2%7D%7B2%7D%3D%5Cfrac%7BMcVc%5E2%7D%7B2%7D)
![{MsVs^2}={McVc^2}](https://tex.z-dn.net/?f=%7BMsVs%5E2%7D%3D%7BMcVc%5E2%7D)
according to the problem the masses are equal Ms = Mc
![Vs^2=Vc^2\\](https://tex.z-dn.net/?f=Vs%5E2%3DVc%5E2%5C%5C)
we apply square root on both sides of the equation
![Vs=Vc](https://tex.z-dn.net/?f=Vs%3DVc)
![\frac{Vs}{Vc} =1](https://tex.z-dn.net/?f=%5Cfrac%7BVs%7D%7BVc%7D%20%3D1)
In conclusion, if two bodies, regardless of their shape, have the same mass and the same kinetic energy, the speed of the two bodies will be the same.