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Volgvan
3 years ago
15

What is the decibel level of the radio with intensity 10−7 watts per square inch? Use a logarithmic model to solve.

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

D = 50

Step-by-step explanation:

Given

I = 10^{-7}W/m^2 --- Intensity

Required

Determine the decibel level (D)

This is calculated as:

D = 10 * log(\frac{I}{I_n})

Where:

I_n = The threshold intensity

I_n =1 * 10^{-12}W/m^2

So, we have:

D = 10 * log(\frac{I}{I_n})

This gives:

D = 10 * log(\frac{10^{-7}W/m^2}{1 * 10^{-12}W/m^2})

D = 10 * log(\frac{10^{-7}}{10^{-12}})

Apply law of indices

D = 10 * log(10^{-7--12})

D = 10 * log(10^{5})

Apply law of logarithm

loga^b = b\ log(a)

So, we have:

D = 10 * 5 * log(10)

log(10)  =1

So:

D = 10 * 5 *1

D = 50

<em>Hence, the decibel level is 50</em>

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Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many
Andrej [43]

Answer:

42

Step-by-step explanation:

Shanice =88

If greg won x pieces of gum, and 88 was 4 more than twice as many as Greg

2x+4=88

2x=84

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8 0
3 years ago
Which are sums of perfect cubes? Check all that apply. 8x6 27 x9 1 81x3 16x6 x6 x3 27x9 x12 9x3 27x9.
Black_prince [1.1K]

The equations which are sums of perfect cubes are as follows;

\rm 8x^6+27x^9+1

\rm x^6+x^3

\rm 27x^9+x^{12}

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which are sums of perfect cubes?

1. The given equation is \rm 8x^6+27x^9+1.

The equation can be written as;

\rm 8x^6+27x^9+1\\\\2^3(x^2)^3+3^3(x^3)^3+1^3

All the terms in the expression are can be represented as perfect cubes.

2.  The given equation is \rm 81x^3+16x^6.

The equation can be written as;

\rm 81x^3+16x^6\\\\9^2x^3+4^2(x^2)3

In this, all the terms are not perfect cubes, some of them are squares.

3. The given equation is \rm x^6+x^3.

The equation can be written as;

\rm x^6+x^3\\\\(x^2)^3+x^3

All the terms in the expression are perfect cubes.

4.  The given equation is \rm 27x^9+x^{12}.

The equation can be written as;

\rm 27x^9+x^{12}\\\\3^3(x^3)^3+(x^4)^3

All the terms in the expression are perfect cubes.

5.   The given equation is \rm 9x^3+27x^9.

The equation can be written as;

\rm 9x^3+27x^9\\\\3^2x^3+3^3(x^3)^3

In this, all the terms are not perfect cubes, some of them are squares too.

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

5 0
2 years ago
Read 2 more answers
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Yuki888 [10]

Answer:

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3 years ago
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Three-fifths of the spanish club is girls. there are a total of 30 girls in the spanish club
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Step-by-step explanation:

7 0
3 years ago
Pls answer quick it's gr 9 academic math lol
SVETLANKA909090 [29]

Answer:

1. (3^3 + 3^2)^2 actually equals (27 + 9)^2

which is the first mistake

2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7

3. 3^7 DOES NOT EQUAL 21

Step-by-step explanation:

when you add powered numbers together, it does not multiply it, as your example:

1. (3^3 + 3^2)^2 actually equals (27 + 9)^2

which is the first mistake

2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7

3. 3^7 DOES NOT EQUAL 21

4 0
3 years ago
Read 2 more answers
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