Answer:
(a) ðz/ðt = 1500miles/hr
(b) 10minutes
Step-by-step explanation:
Let x rep plane one
Let y rep plane two
ðx/ðt = 1440miles/hr = speed of plane one
ðy/ðt = 420miles/hr = speed of plane 2
ðz/ðt = ? = rate of change of distance btw two plane moving at right angle to meet at point o...
See attachment
Since x² + y² = z²... equation 1
So therefore (240² + 70²) ^½= z = 250 miles = distance between two planes
Differential rate of equation 1 gives
(2x* ðx/ðt ) + (2y* ðy/ðt) = 2z* ðz/ðt
Substituting to get ðz/ðt
(2*240*1440) + (2*70*420) = 2*250*ðz/ðt
750000 = 500 ðz/ðt
ðz/ðt = 1500miles/hr
B.
Since v = d/t where d = distance = 250miles
t = time = ? = time needed for controller to divert one of e planes , v = 1500miles/hr
t = d/v = 250/1500 = 10minutes
Answer:
ok so 2 divided by 1/2 is 4.
Step-by-step explanation:
Ok, what is $0.1369 rounded to the nearest cent?
100 cents make a dollar which means the most possible cents not making a dollar is 99 cents
So that means you leave the first two decimals alone and focus on the last two.
What is 69 closer to? 70 or 60? Well, its larger than 65 which is the halfway point so its closer to 70
Is 70 closer to 0 or 100? Well, since 70 is past the halfway point which is 50, its closer to 100.
Think of 3 as 0 and the next number up which is 4 as 100, well, since 70 is closer to 100 than 0, its closer to 4.
So That means that 0.1369 rounded to the nearest cent is $0.14
Your answer rounded is $0.14
Answer:
if its answer for x its
Step-by-step explanation:
=4
=8
Given rational expression is
Now we need to find the restricted values if any for this rational expression.
Restricted values means the possible values of the used variable (x) that will make denominator 0 as division by 0 is not defined.
So to find the restricted values, we just set denominator equal to 0 and solve for x
2x=0 or 4x+1=0
x=0 or 4x=-1
x=0 or x=-1/4
Hence final answer is x=0, -1/4