Step-by-step explanation:


f(x) =(x-5/2)^2-9/5
21, 28, and 35 are multiples of 7. So you can divide each number by 7 (in other words scaling the triangle down by a scale factor of 7).
It becomes 3,4,5, which is the base Pythagorean triple.
3^2 + 4^2 = 5^2
9 + 16 = 25
Answer:
80
Step-by-step explanation:
First recall that:
1 inch=12 feet
The volume of cube-shaped boxes with 12-inch edges is 1 cm³
The volume of a box that is 4
feet tall, 4 feet long, and 5 feet wide is
given by:

We substitute l=4ft, w=5ft and h=4ft
To obtain:

Therefore 80 cube-shaped boxes with 12-inch edges can fit into a box that is 4
feet tall, 4 feet long, and 5 feet wide.
2+9-18/6-10
11-18/-4
-7/–4=7/4
Answer:
The probability that the object will emerge from the + side of this device is 1/2
Step-by-step explanation:
Orienting the magnetic field in a Stern-Gerlach device in some direction(y - direction) perpendicular to the direction of motion of the atoms in the beam, the atoms will emerge in two possible beams, corresponding to ±(1/2)h. The positive sign is usually referred to as spin up in the direction, the negative sign as spin down in the explanation, the separation has always been in the y direction. There can be some other cases where magnetic field may be orientated in x-direction or z-direction.