Mathematics: Functions! box 1 options; 5.49 6.51 54.9 65.1 box 2 options; 10^-4 10^-8 10^-10 10^-12

Functions! box 1 options; 5.49 6.51 54.9 65.1 box - id15496515496514612585, drewje12

Ответ:

SophieCasey

15.01.2022

Mathematics

65.1 10^-4

Step-by-step explanation:

1. Fill the given numbers into the formula and do the arithmetic.

$\displaystyle\beta=10 \log{\left(\frac{I}{I_0}\right)}=10\log{\left(\frac{3.2 \times 10^{-6}}{10^{-12}}\right)}\\\\=10\log{\left(3.2 \times 10^{6}\right)}\approx 65.1\quad\text{dB}$

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2. Fill the given numbers into the formula and solve for I.

$\displaystyle\beta=10 \log{\left(\frac{I}{I_0}\right)}\\\\80=10\log{\left(\frac{I}{10^{-12}}\right)}\\\\8=\log{(I)}+12\qquad\text{divide by 10, simplify}\\\\-4=\log{(I)}\qquad\text{subtract 12}\\\\10^{-4}=I\qquad\text{take the antilog}$

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Functions!
box 1 options;
5.49
6.51
54.9
65.1

box 2 options;
10^-4
10^-8
10^-10
10^-12

Ответ:

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