Answer:
A
Step-by-step explanation:
An event that is not affected by other events. Example: tossing a coin. Heads or tails is not affected by previous tosses.
Answer:
The rate at which the distance from the plane to the station is increasing is 331 miles per hour.
Step-by-step explanation:
We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:
a: is one side of the triangle = altitude of the plane = 3 miles
b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles
h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles
First, we need to find b:
(1)

Now, to find the rate we need to find the derivative of equation (1) with respect to time:
Since "da/dt" is constant (the altitude of the plane does not change with time), we have:
And knowing that the plane is moving at a speed of 500 mi/h (db/dt):
Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.
I hope it helps you!
Step-by-step explanation:
1. 3x+x-2x+8=3x+x
x-2x+8=x
x+8=x+2x
8=2x
8÷2=4
x=4
2. 2(2x+4)-2x=x+18
8+4x-2x=x+18
8+2x=x+18
2x=x+10
x=10
3. 2(x+3)+3x
2(5+3)+15
16+15
31
4. 3(2x)-3x+4=2x+5
6x-3x+4=2x+5
3x+4=2x+5
3x-2x+4=5
x=1
5. 3x+2x+x=x+6
6x=x+6
5x=6
x=6/5
6. 2(x+4)+x=16
2x+8+x=16
3x+8=16
3x=8
x=8/3
Hope I calculated it right you can check it in calculator
Answer:
Number 1: x≈4.9412824
Number 2: x=3√10,−3√10x=310,-310
Decimal Form:
x=9.48683298...−9.48683298...
Number 3: x≈−5.04938819
Number 4: x=−1+2√6,−1−2√6x=-1+26,-1-26
Decimal Form:
x=3.89897948…,−5.89897948…
Number 5: x=−7+√93,−7−√93x=-7+93,-7-93
Decimal Form:
x=2.64365076…,−16.64365076…
Number 6: x=1+i√3910,1−i√3910
PV=nRT since we are only using P,V, and T we have the relationship
PV=T then PV/T=k now we can compare the two conditions...
0.114V/1.6=0.918(116.9)/56.3
V=(1.6*0.918*116.9)/(56.3*0.114)
V≈26.75 L