Answer:
T²= 4π²R³/GM
Explanation:
First we know that
Fg= Fc
Because centripetal force must equal gravitational force
So
GMm/R² = Mv²/R
But velocity is 2πR/T
So by substitution we have
GMm/R²= M (2πR/T)/T
We have
T²= 4π²R³/GM as period
Answer:

Explanation:
As the Universe expands, the photons of the cosmic microwave background increase its wavelength, making its temperature inversely proportional to the scale factor of the Universe. That is, as the average distances between galaxies increase, the temperature of the cosmic microwave background decreases by the same factor. Therefore, the temperature when the distances between galaxies are 1.7 times as large as they are today will be:

Answer:
All of the genetic information comes from one parent.
Explanation:
The question states that the organism has genes that are identical to the parent's. The egg is a type of Gamete, which means that it needs a sperm in order to produce anything, which would have to come from another parent, but, since the genes are unchanged, it can't be that one. The same logic applies to the 2nd and 4th as well
Answer:
218m
Explanation:
Given parameters:
Initial velocity = 3.3m/s
acceleration = 3.7m/s²
time = 10s
Unknown:
How far will it travel during the time of acceleration = ?
Solution:
We use of the kinematics equations to solve this problem;
S = ut +
at²
S is the distance
u is the initial velocity
t is the time
a is the acceleration
So;
S = (3.3x10) + (
x 3.7 x 10²) = 218m
Answer:

Explanation:
The correct statement is:
A truck uses gas as g(v)=av+b/v, where v represents the speed of the truck and g represents the gallons of fuel per mile. At what speed is fuel consumption minimized?
You have the following function g(v):
(1)
g: gallons of fuel per mile
v: speed of the truck
In order to calculate the speed of the truck, you first calculate the derivative of the g(v) respect to v:
(2)
Next, you equal the previous result to zero and solve for v:

For this value of v the fuel consumption is minimized.