Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
Step-by-step explanation:
Red = 6
Blue = 3
Green = 5
Total = 14
First marble = 6/14 = 3/7 You now have 5 reds and 13 total
Second Marble = 5 * 13 which brings you down to 4 red and 12 total.
Third Marble = 4/12 = 1/3
Result
P(3 Red) = 3/7 * 5/13 * 1/3 cancel the 3s
P(3 Red) = 1/7 * 5/13
P(3 Red) = 5/91
P(3 Red) = 0.0549 . Rounding to the nearest 1/100 depends on what you have been told about rounding. I would say the answer is 0.05 but your teacher may say something different.
Answer:
x=-9/a and a=-9/x
Step-by-step explanation:
Answer:
60000000.00
Step-by-step explanation:
hgfgjffhvffjfujcdhbcfvjnbcccdsd
Ten thousands and tens place.
