Split up the interval [0, 2] into 4 subintervals, so that
![[0,2]=\left[0,\dfrac12\right]\cup\left[\dfrac12,1\right]\cup\left[1,\dfrac32\right]\cup\left[\dfrac32,2\right]](https://tex.z-dn.net/?f=%5B0%2C2%5D%3D%5Cleft%5B0%2C%5Cdfrac12%5Cright%5D%5Ccup%5Cleft%5B%5Cdfrac12%2C1%5Cright%5D%5Ccup%5Cleft%5B1%2C%5Cdfrac32%5Cright%5D%5Ccup%5Cleft%5B%5Cdfrac32%2C2%5Cright%5D)
Each subinterval has width 
. The area of the trapezoid constructed on each subinterval is 
, i.e. the average of the values of 
at both endpoints of the subinterval times 1/2 over each subinterval ![[x_i,x_{i+1}]](https://tex.z-dn.net/?f=%5Bx_i%2Cx_%7Bi%2B1%7D%5D)
.
So,
Answer:
the slope is -4/3
Step-by-step explanation:
you can either use the graph or algebra to find the slope.
to use the graph, simply count how many spaces up/down and to the left/right that you go.
to use algebra, take the coordinates of your two points and do (y2-y1)/(x2-x1).
Answer:
1 1/6
Step-by-step explanation:
2 2/3 = 2+2/3
1 1/2 = 1+1/2
So (2 2/3) - (1 1/2)=2+2/3-(1+1/2)=
2+2/3-1-1/2=1+(2/3-1/2)=1+(4-3)/6=1+1/6=
1 1/6
Answer:
157 boxes
Step-by-step explanation:
Take the total amount of ounces to be made, and divide by the 'size' of the box. with 7,536 ounces to be made and the boxes being 48 ounces: 7536/48 will equal 157 boxes filled.
Answer:
$165554
Step-by-step explanation: I use the Law of Cosines to find one of the angles of the triangle. Then use the formula for the area of the triangle: A = (1/2)absinC.
C= 92.856 degree
Area = (1/2)(112)(148)sin(92.856°) = 8277.7 ft^2
To find the price just need to take 8277.7 time 20 = 165554
So the answer is $165554
