A conversion factor is a fraction equal to ' 1 '. It has the same quantity in the numerator and denominator, but they're in different units. You use it to convert a number from one unit to another unit. In order to do that, you multiply the original number by the fraction that's equal to ' 1 ', so you don't change the value of the original number, but you change its units.
Example:
How many inches are there in 7 feet ?
Use the fraction (12 inches)/(1 foot) which is equal to ' 1 ', and multiply.
(7 foot) x (12 inches/1 foot)
This multiplication produces (7 x foot x 12 x inches) / (1 foot)
When you divide top and bottom by 'foot', you have (7 x 12 inches) = 84 inches .
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
![d_1=y_2-y_1](https://tex.z-dn.net/?f=d_1%3Dy_2-y_1)
![=2.5-10=-7.5](https://tex.z-dn.net/?f=%3D2.5-10%3D-7.5)
![d_2=y_3-y_2](https://tex.z-dn.net/?f=d_2%3Dy_3-y_2)
![=0-2.5](https://tex.z-dn.net/?f=%3D0-2.5)
= -2.5
![d_3=y_4-y_3](https://tex.z-dn.net/?f=d_3%3Dy_4-y_3)
![=2.5-0](https://tex.z-dn.net/?f=%3D2.5-0)
= 2.5
![d_4=y_5-y_4](https://tex.z-dn.net/?f=d_4%3Dy_5-y_4)
![=10.0-2.5](https://tex.z-dn.net/?f=%3D10.0-2.5)
= 7.5
2nd difference,
![x_1=d_2-d_1](https://tex.z-dn.net/?f=x_1%3Dd_2-d_1)
![=-2.5+7.5](https://tex.z-dn.net/?f=%3D-2.5%2B7.5)
= 5
![x_2=d_3-d_2](https://tex.z-dn.net/?f=x_2%3Dd_3-d_2)
![=2.5+2.5](https://tex.z-dn.net/?f=%3D2.5%2B2.5)
= 5
![x_3=d_4-d_3](https://tex.z-dn.net/?f=x_3%3Dd_4-d_3)
![=7.5-2.5](https://tex.z-dn.net/?f=%3D7.5-2.5)
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
Answer:
Step-by-step explanation:
For obects already in motion, the distance travelled, s, is:
s = vi*t + (1/2)at^2
where vi is the initial velocity, a is the acceleration, and t is the time in seconds.
We want the time, t, to reach 1000 meters.
1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)
(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2
0.05t^2 + 3t -1000 = 0
Solve quadratic equation:
t = 114.6 seconds
Answer:
84 minutes
Step-by-step explanation:
7 people paint 5 walls in =60 minutes
=>1 people paint 1 walls in = (60X7)/ 5 minutes
=>10 people paint 10 walls in = (60X7X10)/(5X10) minutes =84 minutes
Answer:
67
Step-by-step explanation:
62+15=77 - ? =10
The answer is 67
HOPE THIS HELPS :)
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