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3 years ago

Find the domain of the function algebraically q(r)=3square root r^2 -16

1 answer:

4 0

Hello :
q(r)=3√(r²-16)
q exist : r² - 16 ≥ 0
r² ≥ 16
√r² ≥ √16
but : √16 = 4 and √r² = |r |
|r | ≥ 4
r ≤ 4 or r ≥ 4
the domain is : ] -∞, 4] ∪ [,4 , + ∞ [

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You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

Step-by-step explanation:

Speed of Sound

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$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}$

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$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}$

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To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

$\displaystyle v=\frac{d}{t}$

Where d is the distance and t is the time. Solving for t:

$\displaystyle t=\frac{d}{v}$

Substituting the values v=343.42 m/s and d=600 m:

$\displaystyle t=\frac{600}{343.42}$

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

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