Answer:
-88 mph
Step-by-step explanation:
We can use the relation ...
time = distance/speed
to compare the times in the two directions.

The wind speed is -88 miles per hour.
_____
The problem statement tells us the travel is slower <em>with</em> the wind than <em>against</em> the wind. Hence "with the wind" must be subtracting from the net speed. That is, the wind speed is negative.
Answer:
Step-by-step explanation:
The sum of the ages of a Mother and her son is 78 , three years ago the mother is five times as old as the son, what is their present ages?
To solve this , let the age of the mother be x and the age of the son be y , from the first statement :
x + y = 78
Three years ago , the mother will be x- 3 and the son will be y - 3 , from the second statement:
x - 3 = 5 ( y-3)
x- 3 = 5y - 15
x - 5y = -12
The resulting equations are
x + y = 78
x - 5y = -12
This is called a simultaneous linear equation , that means it is a linear equation.
The side of a square is xcm , if the difference between the area and the perimeter is 12 , find the legth of its side.
Interpretation:
The formula for the area of a square is
and the perimeter is 4l , from the question , we have
- 4x = 12
This is not a linear equation , it is simply a quadratic equation , so the situation is non linear
Nxnxnxbbxnxndnnsnsn nsnsnsndnnsndnndndnsndnndndnndnd
Answer:
-937.5π
Step-by-step explanation:
F (r) = r = (x, y, z) the surface equation z = 3(x^2 + y^2) z_x = 6x, z_y = 6y the normal vector n = (- z_x, - z_y, 1) = (- 6x, - 6y, 1)
Thus, flux ∫∫s F · dS is given as;
∫∫ <x, y, z> · <-z_x, -z_y, 1> dA
=∫∫ <x, y, 3x² + 3y²> · <-6x, -6y, 1>dA , since z = 3x² + 3y²
Thus, flux is;
= ∫∫ -3(x² + y²) dA.
Since the region of integration is bounded by x² + y² = 25, let's convert to polar coordinates as follows:
∫(θ = 0 to 2π) ∫(r = 0 to 5) -3r² (r·dr·dθ)
= 2π ∫(r = 0 to 5) -3r³ dr
= -(6/4)πr^4 {for r = 0 to 5}
= -(6/4)5⁴π - (6/4)0⁴π
= -937.5π
Answer:
The only shape you can make is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then it's a parallelogram (converse of a property). If the diagonals of a quadrilateral bisect each other, then it's a parallelogram (converse of a property).
Step-by-step explanation: