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Eduardwww [97]
2 years ago
10

What is the value of |3.25| ?

Mathematics
1 answer:
Gre4nikov [31]2 years ago
3 0

Answer:

3.25

Step-by-step explanation:

The answer is 3.25 because the absolute value of a number is basically that same number but it ALWAYS comes out positive.

Hope this helps :)

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Show the distributive property of multiplicat<br> ion to solve 4×18
AVprozaik [17]

Answer: 4(10 +8) = 72

Step-by-step explanation:

You want to distribute the 18 and make it smaller so you change it to 10 + 8. Then you do 4(10) + 4(8) = 40 + 32 = 72

8 0
3 years ago
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24(9) = 2x i need help with this
Degger [83]

Answer:

24×9 = 2x

216 = 2x

216÷2 = x

108 = x

x=108

4 0
3 years ago
Pam signed up for a new gym. She had to pay a $45 sign-up fee and will pay dues of $30 each month for 6 months. Which expression
erastovalidia [21]

Answer:

45 + (30*6)

Step-by-step explanation:

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2 years ago
For any real number c, √² =<br> A. ²<br> B. cl<br> C. 1<br> D. C
aliina [53]

Answer:

answer D    ( if i interpreted your question correctly )

Step-by-step explanation:

Sqrt (c^2)  = √(c^2) = C

8 0
2 years ago
Prove the following by induction. In each case, n is apositive integer.<br> 2^n ≤ 2^n+1 - 2^n-1 -1.
frutty [35]
<h2>Answer with explanation:</h2>

We are asked to prove by the method of mathematical induction that:

2^n\leq 2^{n+1}-2^{n-1}-1

where n is a positive integer.

  • Let us take n=1

then we have:

2^1\leq 2^{1+1}-2^{1-1}-1\\\\i.e.\\\\2\leq 2^2-2^{0}-1\\\\i.e.\\2\leq 4-1-1\\\\i.e.\\\\2\leq 4-2\\\\i.e.\\\\2\leq 2

Hence, the result is true for n=1.

  • Let us assume that the result is true for n=k

i.e.

2^k\leq 2^{k+1}-2^{k-1}-1

  • Now, we have to prove the result for n=k+1

i.e.

<u>To prove:</u>  2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1

Let us take n=k+1

Hence, we have:

2^{k+1}=2^k\cdot 2\\\\i.e.\\\\2^{k+1}\leq 2\cdot (2^{k+1}-2^{k-1}-1)

( Since, the result was true for n=k )

Hence, we have:

2^{k+1}\leq 2^{k+1}\cdot 2-2^{k-1}\cdot 2-2\cdot 1\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{k-1+1}-2\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-2

Also, we know that:

-2

(

Since, for n=k+1 being a positive integer we have:

2^{(k+1)+1}-2^{(k+1)-1}>0  )

Hence, we have finally,

2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1

Hence, the result holds true for n=k+1

Hence, we may infer that the result is true for all n belonging to positive integer.

i.e.

2^n\leq 2^{n+1}-2^{n-1}-1  where n is a positive integer.

6 0
3 years ago
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