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Bezzdna [24]
3 years ago
8

Which number is not a common factor of 32 and 48

Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0
5, 3, 7, 9 are all non-common factors
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The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d, from
kifflom [539]

Answer:

The jetski is 2.28 dB loud when the person is 41 feet away.

Step-by-step explanation:

Loudness (L) ∝ 1 / Distance² (d²)

Introduce a constant 'K'

L = K (1/d²)

L = K/d²

K = Ld²

Find the K from a previously known information: If a person 8 feet from a jetski hears 60 decibels loud

∴ d = 8 ft , L = 60 db

K = 60(8²) = <em>3840</em>

How loud is the jetski when the person is 41 feet away?

Distance is now 41 ft

since: L = K/d²

∴ L = 3840 / 41²

L = 3840 / 1681

L = 2.28 db

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F(n) = -11 + 22(n = 1)<br> Complete the recursive formula of f(n).<br> f(1) =<br> f(n) = f(n - 1)+
Maslowich

Answer:

f(n)=f(n-1)+22.

Step-by-step explanation:

Note: In the given function it should be (n-1) instead of (n=1).

Consider the given function is

f(n)=-11+22(n-1)

It is the explicit form of an A.P.

For n=1,

f(1)=-11+22(1-1)=-11+0=-11

For n=2,

f(2)=-11+22(2-1)=-11+22=11

Common difference is  

d=a_2-a_1=11-(-11)=11+11=22

The recursive formula of an A.P. is

f(n)=f(n-1)+d

Substitute d=22 in the above formula.

f(n)=f(n-1)+(22)

f(n)=f(n-1)+22

Therefore, required recursive formula is f(n)=f(n-1)+22.

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