Answer:
a) Function A(x) = (60*x - 1/2*x²)
b)Side length x = 60 m the other side y = 30 m
c) A (max) = 1800 m²
Step-by-step explanation:
Area of rectangular garden with length " x " and wide "y"
A = x*y
Perimeter of rectangular area ( only three sides 2*y and 1*x)
P(r) = 2*y + x
P(r) = 120 = 2*y + x
y = ( 120 - x ) /2
Area of the garden as function of x is
A(x) = [( 120 - x ) /2]*x ⇒ A(x) = (60*x - 1/2*x²)
Taking derivatives on both sides of the equation:
A´(x) = 60 - x
A´(x) = 0 60 - x = 0
x = 60 m
Then
y = ( 120 - x ) / 2 ⇒ y = (120 - 60 )/2
y = 30 m
A(max) = 30 * 60
A(max) = 1800 m²
Answer:
C) 60 ft
Step-by-step explanation:
From any dot in the graph you can figure out the speed.
Let's take the one at 2 minutes, because it is on a grid point.
That one tells us that in 2 minutes, the animal travels 40 feet.
That means in 1 minute, it travels half that, i.e., 20 feet.
So in 3 minutes it will travel 20*3=60 feet.
Hello there,
Your answer would be 13/51
Hope this helps!
Have a great day! (:
Answer: the plain pencil costs 10 cents and the colored pencil costs 20 cents
Answer:
The standard deviation for the number of students who work full time = 8.38
Step-by-step explanation:
Given data
Sample size n = 284
No. of students work full time is P = 55 % = 0.55
No. of students who not work full time is Q = 100- 55 % = 45 % = 0.45
The standard deviation is given by
Put all the values in above equation we get
S.D. = 8.38
This is the standard deviation for the number of students who work full time.
