Answer:
1
Step-by-step explanation:
Any number to the power of zero is equal to 1. If the negative would be on the outside of the parenthesis, though, the answer would be -1
Answer:its 12
Step-by-step explanation:
because there are 36 now and they have 3 times more each year so it is 12 + 12 + 12 = 36
Answer:
17) A(-1,1) B(-1,4) C(5,1)
18) (From origin moving rightwards)
A(0,0) B(a, 0) C(a,a) D(0,a)
Step-by-step explanation:
17) You just count the steps, how many steps left, right, up, or down
18) The first point is at the origin, so 0,0
The second point that lies on the x axis is (a,0) as it is a distance from the origin, 0 because it's on the x-axis.
The third point is (a,a) because it is a distance to the right of the origin AND a distance upwards from the x axis.
The fourth point (0,a) because it is on the vertical line (0) and is a distance above the origin.
Answer:
The dimension of the open rectangular box is
.
The volume of the box is 8.217 cubic inches.
Step-by-step explanation:
Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.
To find : The dimensions and the volume of the open rectangular box ?
Solution :
Let the height be 'x'.
The length of the box is '11-2x'.
The breadth of the box is '7-2x'.
The volume of the box is 


Derivate w.r.t x,


The critical point when V'(x)=0

Solve by quadratic formula,


Derivate again w.r.t x,

Now,
(+ve)
(-ve)
So, there is maximum at x=1.392.
The length of the box is 

The breadth of the box is 

The height of the box is h=1.392.
The dimension of the open rectangular box is
.
The volume of the box is 


The volume of the box is 8.217 cubic inches.