Answer:
E(1,1/2)
would be another point at left of c
The number line M-N is from 0 - 9.
2/3 of the way will be the same as 9 x 2/3
That equals 18/3 which reduces to 6.
6 is the coord 2/3 across the numberline from 0 to 9.
One.
To solve this, first combine like terms.
6x + 4x - 6 = 24 + 9x
10x - 6 = 24 + 9x
Then move all like terms to one side.
10x - 9x = 24 + 6
x = 30
Answer:
a) ![F=0.16Hz](https://tex.z-dn.net/?f=F%3D0.16Hz)
b) ![\omega=1rad/s](https://tex.z-dn.net/?f=%5Comega%3D1rad%2Fs)
c) ![L=9.54m](https://tex.z-dn.net/?f=L%3D9.54m)
d) ![g=9.46m/s^2](https://tex.z-dn.net/?f=g%3D9.46m%2Fs%5E2)
Step-by-step explanation:
From the question we are told that:
Time ![T =6.2](https://tex.z-dn.net/?f=T%20%3D6.2)
a)
Generally the equation for Frequency F is mathematically given by:
![F=\frac{1}{T}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B1%7D%7BT%7D)
![F=\frac{1}{6.2}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B1%7D%7B6.2%7D)
![F=0.16Hz](https://tex.z-dn.net/?f=F%3D0.16Hz)
b)
Generally the equation for Frequency F is mathematically given by:
![\omega=2\pi f](https://tex.z-dn.net/?f=%5Comega%3D2%5Cpi%20f)
![\omega=2*314* 0.16](https://tex.z-dn.net/?f=%5Comega%3D2%2A314%2A%200.16)
![\omega=1rad/s](https://tex.z-dn.net/?f=%5Comega%3D1rad%2Fs)
c)
Generally the equation for Length of Chandelier L is mathematically given by:
Since
![T=2*3.142\sqrt{\frac{L}{g}}](https://tex.z-dn.net/?f=T%3D2%2A3.142%5Csqrt%7B%5Cfrac%7BL%7D%7Bg%7D%7D)
Therefore
![L=\frac{gT^2}{4 \pi^2}](https://tex.z-dn.net/?f=L%3D%5Cfrac%7BgT%5E2%7D%7B4%20%5Cpi%5E2%7D)
![L=\frac{9.8*(6.2)^2}{4 \pi^2}](https://tex.z-dn.net/?f=L%3D%5Cfrac%7B9.8%2A%286.2%29%5E2%7D%7B4%20%5Cpi%5E2%7D)
![L=9.54m](https://tex.z-dn.net/?f=L%3D9.54m)
d)
Since
Michelson exhibit except this one swings back and forth 0.11 seconds slower
Therefore
![T'=T+0.11](https://tex.z-dn.net/?f=T%27%3DT%2B0.11)
![T'=6.31](https://tex.z-dn.net/?f=T%27%3D6.31)
Generally the equation for acceleration due to gravity g is mathematically given by:
![g = \frac{4\pi ^2L}{( T')}^2](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B4%5Cpi%20%5E2L%7D%7B%28%20T%27%29%7D%5E2)
![g = \frac{4\pi ^2L\*9.54}{( 6.31 s )}^2](https://tex.z-dn.net/?f=g%20%3D%20%5Cfrac%7B4%5Cpi%20%5E2L%5C%2A9.54%7D%7B%28%206.31%20s%20%29%7D%5E2)
![g=9.46m/s^2](https://tex.z-dn.net/?f=g%3D9.46m%2Fs%5E2)
Answer:
Step-by-step explanation:
Each year, the plant earns an additional 5 percent per man-hour. This means that the increase in earnings is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the amount earned after t years.
t represents the number of years.
P represents the initial amount earned.
r represents rate of growth.
From the information given,
P = $800
r = 5% = 5/100 = 0.05
Therefore, the function that gives the amount after t years is
A = 800(1 + 0.05)^t
A = 800(1.05)^t