The equation has one zero, and the system has three solutions ( 1 real and 2 complex solutions).
<h3>Solution of the polynomial equation</h3>The solution of the polynomial equation is determined as follows;
3x³ + x = 2x² + 1
3x³ - 2x² + x - 1 = 0
Thus, we can conclude that the equation has one zero (real solution), and the system has three solutions ( 1 real and 2 complex solutions).
Learn more about polynomial equations here: brainly.com/question/2833285
#SPJ1
The internal energy of the gas is 49,200 J
Explanation:
The internal energy of a diatomic gas, such as , is given by
where
n is the number of moles
R is the gas constant
T is the absolute temperature of the gas
For the gas in this problem, we have:
n = 4.50 (number of moles)
R = 8.31 J/(mol·K) (gas constant)
(absolute temperature)
Substituting, we find:
Learn more about ideal gases:
#LearnwithBrainly
Answer:3
Explanation:
First ball is thrown with horizontal velocity while other ball is dropped from cliff such that both have zero vertical velocity. So both balls have to cover a distance equal to the height of cliff with same initial velocity.
time taken is given by
where h=height of cliff
g=acceleration due to gravity
horizontal velocity to first ball will make the ball to travel more horizontal distance as compared to second ball.
Option 3 is correct
Answer:
The center of mass of the Earth-Moon system is 4.673 kilometers away from center of Earth.
Explanation:
Let suppose that planet and satellite can be treated as particles. The masses of Earth and Moon (,
) are
and
, respectively. The distance between centers is 384,403 kilometers. The location of the center of mass can be found by using weighted averages:
If and
, then:
The center of mass of the Earth-Moon system is 4.673 kilometers away from center of Earth.
The minimum velocity of the Salmon jumping at the given angle is 12.3 m/s.
The given parameters;
The time of motion to fall from 0.432 m is calculated as;
The minimum velocity of the Salmon jumping at the given angle is calculated as;
Thus, the minimum velocity of the Salmon jumping at the given angle is 12.3 m/s.
Learn more here: brainly.com/question/20064545