144 x 17% (or .17) = 17.28
Estimate 17. 3 or 17 (I’ll let you figure it out which one )
The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.
Step-by-step explanation:
Given,
Combined length of both trails = 5760 miles
Let,
x be the length of eatern continental trail.
y be the length of Erie canal trail.
According to given statement;
x+y=5760 Eqn 1
x = 15y Eqn 2
Putting value of x from Eqn 2 in Eqn 1
![15y+y=5760\\16y=5760](https://tex.z-dn.net/?f=15y%2By%3D5760%5C%5C16y%3D5760)
Dividing both sides by 16
![\frac{16y}{16}=\frac{5760}{16}\\y=360\\](https://tex.z-dn.net/?f=%5Cfrac%7B16y%7D%7B16%7D%3D%5Cfrac%7B5760%7D%7B16%7D%5C%5Cy%3D360%5C%5C)
Putting y=360 in Eqn 2
![x=15(360)\\x=5400](https://tex.z-dn.net/?f=x%3D15%28360%29%5C%5Cx%3D5400)
The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
UV=13
UW=2y-9
WV=y-5
<span>W be a point between points U and V
</span>therefore
UV=UW+WV
UV=(2y-9)+(y-5)=2y-9+y-5=3y-14
13=3y-14
27=3y
y=27/3=9
the answer is y=9
Answer:
Step-by-step explanation:
f(x)=4x+5
g(x)=6x+4,
first: (f*g)=(4x+5) (6x+4)=24x²+46x+20
next:(f*g)(0)=((g*f)=24x²+46x+20=20
Answer:
The velocity at t = 6 is of -166 units of velocity.
Step-by-step explanation:
Velocity function:
The velocity function is the integral of the acceleration function.
We have that:
The acceleration function is:
![a(t) = 12 - 4t^2](https://tex.z-dn.net/?f=a%28t%29%20%3D%2012%20-%204t%5E2)
So the velocity function is:
![v(t) = \int a(t) dt = \int (12 - 4t^2) dt = 12t - \frac{4t^3}{3} + K](https://tex.z-dn.net/?f=v%28t%29%20%3D%20%5Cint%20a%28t%29%20dt%20%3D%20%5Cint%20%2812%20-%204t%5E2%29%20dt%20%3D%2012t%20-%20%5Cfrac%7B4t%5E3%7D%7B3%7D%20%2B%20K)
In which K is the constant of integration, which is v(0).
v(0)=50
This means that:
![v(t) = 12t - \frac{4t^3}{3} + 50](https://tex.z-dn.net/?f=v%28t%29%20%3D%2012t%20-%20%5Cfrac%7B4t%5E3%7D%7B3%7D%20%2B%2050)
What is the velocity at t=6?
![v(6) = 12*6 - \frac{4*6^3}{3} + 50 = -166](https://tex.z-dn.net/?f=v%286%29%20%3D%2012%2A6%20-%20%5Cfrac%7B4%2A6%5E3%7D%7B3%7D%20%2B%2050%20%3D%20-166)
The velocity at t = 6 is of -166 units of velocity.