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Answer: 3 m/s^2</h3>
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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.
Inflation or profit.. Depends on which side you are on the buying end or selling end.
Answer and Step-by-step explanation:
The step that was wrong is at C: when Jennifer added the 1 into the parentheses, she forgot to subtract 1 from the 7. The reason she needs to do that is because now, if you compare her equation at C with her original, they're not the same:
Original: x^2 + 2x + 7
Step C: x^2 + 2x + 8
So, Jennifer actually needs to subtract 1 from the 7 if she wants to add 1 into the parenthetical expression:
Correct Step C: (x^2 + 2x + 1) + 7 - 1 = (x^2 + 2x + 1) + 6
Now, the correct vertex form is: (x + 1)^2 + 6
Hope this helps!
The answer is 32. This is because, first according to The Order of Operations, we do parentheses first (or other grouping symbols). So now the equation looks like this: 8(5 + 11) divided by 4. Next, we add 5 +11, which is 16, so 8(16) = 128, and 128 divided by 4 is 32. I hope this helps! If you need helps on the Order of Operation, please ask! :D
