Answer:
8.1 gallons of gas
Step-by-step explanation:
240/9=216/x
simplify 240/9 into 80/3,
80/3=216/x
cross product
3*216=80*x
648=80x
x=648/80
x=8.1
Answer:
60%
Step-by-step explanation:
73:120*100=
(72*100):120=
7200:120=60
X = 4(cosθ - cos²θ) = 4cosθ - 4cos²<span>θ
</span>dx/dθ = -4sinθ + 8sinθcosθ = -4sinθ(1 - 2cos<span>θ)
dy/d</span>θ = 4(cosθ - cos²θ + sin²θ) = 4(cos<span>θ - 1)
</span>∴dy/dx = 4(cosθ - 1)/-4sinθ(1 - 2cosθ) = 1-cosθ/(sinθ - 2sinθcosθ<span>)
Now, we're finding a horizontal tangent, which is when dy/dx = 0 (horizontal tangent).
1-cos</span>θ/(sinθ - 2sinθcosθ) = 0
1-cosθ = 0
cosθ = 1
θ = 0, 360 in the interval [0, 360].
At θ = 0, x = 0, y = 0
Only points in the open interval [-2π, 2π] are at (0, 0), unless I made a mistake somewhere.
Total distance from their home to school is 2 miles.
Peter covered this distance in 27 minutes yesterday. Since the rate of walking is the same today, Peter will arrive in school in 27 minutes today.
Juan covered 1 mile in 11 minutes yesterday. This means she will cover 2 miles in 22 minutes. Since the rate(speed) of walking of Jaun is also same as that of yesterday, Juan will reach the school in 22 minutes.
Thus, we can conclude that if Peter and Juan leave at the same time, Juan will reach the school 5 minutes earlier than Peter.
Answer:
<em>2,4,6,8,10</em>
Step-by-step explanation:
To find the first 5 terms we can substitute numbers for "n"
We can create a table:
x y
1 2
2 4
3 6
4 8
5 10
To get the values we just plug in numbers:
a(1)=2(n)
a(1)=2(1)
a(1)=2
a(2)=2(2)
a(2)=4
...... etc.
