So multiply 2 x 1.10 = 2.20
3 x 95 = 2.85
5 x 2.15 = 10.75
Now add all that up 15.80 divide 15.80 by 5 to get 3 dollars and 16 cents(thats how much everyone pays)
or if your going to include tracy to the 5 people which would make 6 it would be 2.63333333333 so round that up to either 2.60 or 2.63
It takes 107.692 minutes approximately to fill the pond
<em><u>Solution:</u></em>
Given that inlet pipe can fill an artificial pond in 70 min
So the inlet pipe can fill
of the pond in 1 min
An outlet pipe can empty the same pond in 200 min
So the outlet pipe can empty
of pond in 1 min
Here negative sign denotes "empties the pond"
To find: With both pipe open, time taken to fill the pond
Let "x" be the time taken by pipes to fill the pond
With both pipes are left on, so together their rate is:
![\frac{1}{x} = \frac{1}{70} - \frac{1}{200}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B70%7D%20-%20%5Cfrac%7B1%7D%7B200%7D)
On solving,
![\frac{1}{x} = \frac{200 - 70}{14000}\\\\\frac{1}{x} = \frac{130}{14000}\\\\x = \frac{14000}{130} = 107.692](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B200%20-%2070%7D%7B14000%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B130%7D%7B14000%7D%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B14000%7D%7B130%7D%20%3D%20107.692)
Thus it takes 107.692 minutes approximately to fill the pond
Answer:
Below.
Step-by-step explanation:
The zeroes are at x = -2, 0, 1 and 3 so the factors are
(x +2)
x
(x - 1)
(x - 3)
Answer:
The maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels further
Also the distance of the maximum height of first pluck from the player is less than the distance of the second pluck from the player hence the second pluck travels further
Step-by-step explanation:
From the question we are told that
The maximum height of the first pluck is ![h_1 = 3 \ ft](https://tex.z-dn.net/?f=h_1%20%3D%20%203%20%5C%20%20ft)
The height of the second height is mathematically represented as
![$y=x\left(0.15-0.001x\right)](https://tex.z-dn.net/?f=%24y%3Dx%5Cleft%280.15-0.001x%5Cright%29)
=> ![y=0.15x -0.001x^2](https://tex.z-dn.net/?f=y%3D0.15x%20-0.001x%5E2)
Generally at maximum height ![y' = 0](https://tex.z-dn.net/?f=y%27%20%3D%200)
So
![y'=0.15 -0.002 x = 0](https://tex.z-dn.net/?f=y%27%3D0.15%20-0.002%20x%20%3D%200)
=> ![x = 75 \ ft](https://tex.z-dn.net/?f=x%20%3D%20%2075%20%5C%20%20ft%20)
Here 75 ft is the horizontal distance the second pluck traveled at maximum height
So the maximum height of the second pluck is mathematically represented as
![y=0.15(75) -0.001(75)^2](https://tex.z-dn.net/?f=y%3D0.15%2875%29%20-0.001%2875%29%5E2)
=>
So comparing the maximum height of the first and the second pluck we see that the maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels father
Answer:
f(x + 1) = x² - x
Step-by-step explanation:
f(x) = x² - 3x + 2 when f(x + 1)
f(x + 1) = (x + 1)² - 3(x + 1) + 2
f(x + 1) = (x² + 2x + 1) + (-3x - 3) + 2
f(x + 1) = x² - x + 0
f(x + 1) = x² - x
Best of Luck!