If f(x) and f -1 (x) are inverse functions of each other and f(x) = 2x+5, what is f -1 (8)?
1 answer:
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Answer:
106.67%
Step-by-step explanation:
85% as a fraction is 4/5
25% as a fraction is 3/4
<h2>Convert 16/15 to a decimal: 1.067
Multiply: 1.067 · 100= 106.67%
Answer:
<em>The speed of sound at 20°C is 343.42 m/s.</em>
<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>
Step-by-step explanation:
<u>Speed of Sound</u>
The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.
The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:
The air is at T=20°C, thus the speed of sound is:
The speed of sound at 20°C is 343.42 m/s.
To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:
Where d is the distance and t is the time. Solving for t:
Substituting the values v=343.42 m/s and d=600 m:
t = 1.75 s
You have to wait 1.75 seconds to hear the sound of the bat hitting the ball
<h2>Hello!</h2>
The answer is: 33.33%
<h2>Why?</h2>Since we have the average number of accidents that occurs in 1 month, and it's equal to 3, we can calculate the probability of 1 accident occurs by dividing it into the average number of accidents, using the following formula:
Where,
Favorable outcomes are the occurrence of the event, for this case, it's equal to 1.
Outcomes are the possible occurrence of the event, for this case, it's equal to 3.
So, by substituting we have:
So, the probability will be equal to 33.33%
Have a nice day!