Answer: 0.38065
in simpler terms x=± 0.145 =±0.38065
Step-by-step explanation: -490x2+71 = 0
Subtract 71 from both sides of the equation :
-490x2 = -71
Multiply both sides of the equation by (-1) : 490x2 = 71
Divide both sides of the equation by 490:
x2 = 71/490 = 0.145
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 71/490
The equation has two real solutions
These solutions are x = ±√ 0.145 = ± 0.38065
Answer:
The volume of the prism is 6 unit³
Step-by-step explanation:
In order to calculate the volume of the prism we first need to calculate the volume of each cube. The volume of a cube is given by the formula below:
volume cube = a³
Where a is the length of the side of the cube. So each cube has a volume of:
volume cube = (1/2)³ = 1/8 unit³
Since the cubes are filling the prism, the volume of the prism is the sum of the volume of all the cubes, in this case 48. Since all the cubes are equal, we can multiply the number of cubes by the volume of one cube in order to calculate the volume of the prism. We have:
volume prism = 48*volume cube
volume prism = 48*(1/8) = 6 unit³
Answer:- C. The amount of gasoline in a car's tank while driving on a highway at a constant speed compared with time.
Explanation:-
A. The number of customers in a grocery store does not change at a constant rate compared with the day of the week.
B.The speed of the wind on a stormy day does not change at a constant rate compared with the time of day.
C.The amount of gasoline in a car's tank while driving on a highway change at a constant rate at a constant speed compared with time
.[as velocity=rate of change in distance]
D.The distance of a student from home during a school day does not change at a constant rate compared with the time of day.[as distance remains constant compared to time]
