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Semenov [28]
3 years ago
11

What is the force of a 12 kg object that is accelerating at a rate of 6 m/s2?

Mathematics
1 answer:
Leviafan [203]3 years ago
7 0

Answer:

force= mass × acceleration

12×6

72 N

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Prove that an = 4^n + 2(-1)^nis the solution to
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Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute a_n=4^n+2(-1)^n in the equation a_n=3a_{n-1}+4a_{n-2} the equality is true.

Let's substitute first in the right hand side:

3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})

Now we use the distributive laws. Also, note that (-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n} (this also works when the power is n-2).

=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}

=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}

=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n

then the sequence solves the recurrence relation.

4 0
3 years ago
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AveGali [126]
The answer is A) reflection over x-axis
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2 years ago
Helplpppppp<br> 5(5x+1)=25x-7 *
Dennis_Churaev [7]

Answer:

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3 years ago
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Describe in detail how you would create a number line with the following points: 4, 1.25, the opposite of 3, and – (–2 fraction
KatRina [158]

Answer:

Read below

Step-by-step explanation:

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1.) 8 to the second power which is 64 - 7

64-7=56

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8x3=24

3.) 14 divided by 2= 7

4.) 5-8 divided by 4  

-3 divided by 4= -0.75

Hope this helps!

8 0
3 years ago
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