305.5 feet * .01 = 3.055 feet
Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
Answer: 51 Children and 36 Adults.
Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.
We know that x+z= 87
We also know that 3.25x+3.5z= 291.75.
We want to find the value of x and z. Then we solve the system of equations:
Multiply the first equation by -3.5 and add it to the second equation:
-3.5x-3.5z= -304.5
3.25x+3.5z= 291.75
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-0.25x=-12.75
x= -42.75 ÷ -0.25
x=51
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Now we substitute the value of x in the first equation and solve for the variable z
51+z=87
z=87-51
z= 36
Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.
Answer:
(-24, -8)
Step-by-step explanation:
Let us recall that when we have a function f
<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is
at the point (x,y) gives the direction of maximum rate of increasing
at the point (x,y) gives the direction of maximum rate of decreasing
In this case we have
and we want to find the direction of fastest speed of decreasing at the point (-3,-2)
at the point (-3,-2) minus the gradient equals
hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.
