True or false Gravity Concepts

i need help with this statements

"Identify each of the following statements related to universal gravitation as either true or false. "

As you move farther from the earth, its gravitational force acting on you decreases.
Perturbations in the expected orbits of known planets led to the discovery of new planets in our solar system.
The sun is more responsible than the moon for tides on earth because it exerts a greater gravitational force on the earth than the moon does.
The gravitational field at the center of a planet is zero.
The moon is falling toward the earth.
Orbiting astronauts are weightless because of the absence of a support force.

Hello

As you move farther from the earth, its gravitational....
right

Perturbations in the expected orbits of known planets..
right

The sun is more responsible than the moon for tides
false,
The tidal effect by the sun is about half as large as by the moon

The gravitational field at the center of a planet is zero.
Right, the forces in all different direction cancel out to zero

The moon is falling toward the earth.
Right, you can see an orbit as a trajectory, but with such a velocity,
that the trajectory equals the shape of the earth. So the moon falls towards the earth, but never reaches it.

Orbiting astronauts are weightless because of the
false. They are weightless because the centrifugal force and the gravitational force cancel out to zero

Regards