<h3>
Answer: D) common ratio</h3>
Explanation:
The four points on this curve are
(1, 3)
, (2, 6), (3, 12)
, (4, 24)
The equation of the curve that goes through all the points mentioned is
y = 3*2^(x-1) which is equivalent to y = 1.5*2^x
Both equations are exponential equations.
Sequences of the form
a(n) = a*(r)^(n-1)
are geometric sequences with common ratio r. In this case, r = 2.
Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.
Answer:
1 is Answer.
Step-by-step explanation

= 
As we know that ω²+ω+1=0
Thus putting in above equation, we get
= 
Rearranging and simplifying:
= 
= 
= 
= 1 Answer
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
Answer:
2534.081
Step-by-step explanation: