Answer:
Evaluate the expression. StartFraction 9 factorial Over 3 factorial EndFraction
2 answers:
You might be interested in
The set is linearly dependent.
To explicitly prove this, we need to show there is at least one choice of constants such that
or equivalently,
which is the same as solving the system of equations
From the first and last equations, we have and
. Substituting these into the second equation leaves us with
, and so the overall solution set is
for which there are infinitely many not-all-zero solutions.
Answer:
The speed of the wind is 48.56
Step-by-step explanation:
We can use the following formula to calculate the distance:
distance = speed x time
Let w represent the speed of the wind.
If the plane flies with the wind, the speed will be the speed of the plane + the speed of wind. Since it can fly 910 miles, and the speed of the plane is 305
910 = (305 + w) x time (1)
If the plane flies against the wind, the speed will be the speed of the plane - the speed of wind. Since it can fly 660 miles, and the speed of the plane is 305
660 = (305 - w) x time (2)
Since the time is equal for both equation in 1 and 2:
=
→ 910(305-w) = 660(305+w)
→ 277550 - 910 w = 201300 + 660w
→ 1570w = 76250
→ w = 48.56