The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.
Examples:
is autonomous
is *not* autonomous
Answer:
ABCDEFG = 3211000
Step-by-step explanation:
A counts the number of zeroes, and there are 3 zeroes (E, F, G), so A = 3.B counts the number of ones, and there are 2 ones (C, D), so B = 2.C counts the number of twos, and there is 1 two (B), so C = 1.D counts the number of threes, and there is 1 three (A), so D = 1.There is no four, five, six in, so E, F, G are all zeroes.
Answer:
E, needs more info to be determined
Step-by-step explanation:
We know that Kai takes 30 minutes round-trip to get to his school.
One way is uphill and the other is downhill.
He travels twice as fast downhill than uphill.
This means that uphill accounts for 20 minutes of the round-trip and downhill accounts for 10 minutes of his trip.
However, even with this information, we do not know how far his school is.
In order to figure out how far away his school is, we would need more information about the speed at which Kai is traveling.
Simply knowing that he travels twice as fast downhill is not enough.
This question could only be solved by knowing how many miles Kai travels uphill or downhill in a given time.
Answer:
$837.25
Step-by-step explanation:
100%-> $985
1%->$9.85
15%->$9.85×15=$147.75
85%->$985-$147.75=$837.25
Step-by-step explanation:
3/2(4x-1)-3x = 5/4-(x+2)
6x -3/2 -3x = 5/4 -x -2
3x -3/2 = 5/4-2-x
4x=5/4 -2 +3/2
4x= (5-8+6)/4
4x=3/4
x=3/16
