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djverab [1.8K]
3 years ago
12

Please help with this question

Mathematics
1 answer:
velikii [3]3 years ago
6 0
Either 3 or 4 I'm not sure bc I never learned this but the square root of 16 is 4 so it's either choice 3 or 4
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Prove that the statement (ab)^n=a^n * b^n is true using mathematical induction.
mamaluj [8]

Answer:

see below

Step-by-step explanation:

      (ab)^n=a^n * b^n

We need to show that it is true for n=1

assuming that it is true for n = k;

(ab)^n=a^n * b^n

( ab) ^1 = a^1 * b^1

ab = a * b

ab = ab

Then we need to show that it is true for n = ( k+1)

or (ab)^(k+1)=a^( k+1) * b^( k+1)

Starting with

  (ab)^k=a^k * b^k    given

Multiply each side by ab

ab *  (ab)^k= ab *a^k * b^k

   ( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)

Therefore, the rule is true for every natural number n

5 0
3 years ago
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KonstantinChe [14]

Answer:

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Step-by-step explanation:

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3 years ago
30<br> 45<br> 60<br> Which is it? <br> Help please
blagie [28]

Answer:

D = 90°

Step-by-step explanation:

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3 years ago
Jackson spends 214 hours painting 212 pictures. He spends the same amount of time painting each picture. How much time, in hours
Wewaii [24]
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3 years ago
A company has recently been hiring new employees. Today the company has 36% more employees than it did a year ago. If there are
jeka57 [31]
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The company had 32,640 employees last year

Hope that helps
7 0
3 years ago
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