Answer:
166.5 cm squared
Step-by-step explanation:
Multiply 11x11 =121
Multiply 7x6.5 =45.5 (we get the 7 because 18-11=7)
Then we add 121 and 45.5 and get 166.5
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Answer:
<em><u>All three choices would occur, and are all correct.</u></em>
Step-by-step explanation:
The y-intercept of the least-squares regression line would decrease.
The standard deviation of the residuals would decrease.
The correlation coefficient (r) would get closer to 1.
glad to help :)
Answer:
4
Step-by-step explanation:
48 ÷ 12 = 4
hope this helps
