Answer:
![2.5\ m/s^2](https://tex.z-dn.net/?f=2.5%5C%20m%2Fs%5E2)
Step-by-step explanation:
Newton's Second Law: Force on a body is equal to the product of mass and acceleration of the centre of the mass of the body.
![Force(F)=Mass(m)\times Acceleration(a)](https://tex.z-dn.net/?f=Force%28F%29%3DMass%28m%29%5Ctimes%20Acceleration%28a%29)
Initially:
![Let\ mass=m\ kg\\\\acceleration=10\ m/s^2\\\\Force(F)=m\times 10=10m](https://tex.z-dn.net/?f=Let%5C%20mass%3Dm%5C%20kg%5C%5C%5C%5Cacceleration%3D10%5C%20m%2Fs%5E2%5C%5C%5C%5CForce%28F%29%3Dm%5Ctimes%2010%3D10m)
At the end of the road:
![Let\ mass=4\times m\ kg\\\\acceleration=a\ m/s^2\\\\Force(F)=4m\times a=4ma](https://tex.z-dn.net/?f=Let%5C%20mass%3D4%5Ctimes%20m%5C%20kg%5C%5C%5C%5Cacceleration%3Da%5C%20m%2Fs%5E2%5C%5C%5C%5CForce%28F%29%3D4m%5Ctimes%20a%3D4ma)
![Both\ forces\ are\ equal\\\\4ma=10m\\\\divide\ both\ the\ sides\ by\ m\\\\4a=10\\\\a=\frac{10}{4}\\\\a=2.5\ m/s^2](https://tex.z-dn.net/?f=Both%5C%20forces%5C%20are%5C%20equal%5C%5C%5C%5C4ma%3D10m%5C%5C%5C%5Cdivide%5C%20both%5C%20the%5C%20sides%5C%20by%5C%20m%5C%5C%5C%5C4a%3D10%5C%5C%5C%5Ca%3D%5Cfrac%7B10%7D%7B4%7D%5C%5C%5C%5Ca%3D2.5%5C%20m%2Fs%5E2)
Answer:
A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.
Step-by-step explanation: Good luck and hope this helps :)
Answer:
"Commutative property of addition and of multiplication"
Step-by-step explanation:
This is the "commutative property" of addition and of multiplication. That as its name indicates tells us for additions, that if we add A + B, or B + A, we should get the same result. Similarly, the "commutative property" of multiplication tells us that if we perform the product A * B we should get the same answer as if we perform the product: B * A.
Answer:
x=2.2
y=-3.4
Step-by-step explanation:
subtract the second from the first
-5x=-11
x=2=2
substituting by x in the first equation
so y=-3.4
X + 12 = n
N is 5 more than twelve so add 5 to 12 and you get 17.