Question:
What is the greatest common factor (GCF) of 24 and 40?
Answer:
8
Step-by-step explanation:
==================================
<em />
<em>"Associate with people who are likely to improve you."</em>
<h3>
Answer: 3 m/s^2</h3>
=======================================================
According to Newton's Second Law, we know that
F = m*a
where F is the force applied, m is the mass and 'a' is the acceleration.
We see that this is a direct variation equation for F and a, such that m is the constant of variation. It's similar to how y = kx is also a direct variation equation.
Plug in F = 35 and a = 5 to find m
F = ma
35 = m*5
35/5 = m
7 = m
m = 7
The object has a mass of 7 kg
Our equation F = ma updates to F = 7a
Now plug in the force F = 21 to find 'a'
F = 7a
21 = 7a
21/7 = a
3 = a
a = 3
The acceleration will be 3 m/s^2
Notice how a smaller force applied means that the acceleration has also gone down as well.
The y intercept is 2, because that is the value of y when it crosses the y axis.
Since the line is pointing down, it has a negative slope, and since the y value goes down 2 for every 3 x values, the slope is -2/3. You should always right the slope in rise/run form, or change in y/change in x.
Finally, write the equation in the form of y=mx+b, where m is the slope and b is the y intercept. This means the equation of the line is y=-2/3x+2.
This question requires you to know the lowest common multiple (LCM) of 5, 4 and 2. there are a few ways to do that. in this case the LCM would be 20. this means that in 20 year the science department would buy all 3 equipment at the same time
