We find the base of the rectangles by taking the difference between the interval endpoints, and dividing by 2.
Base of rectangle = (6 - 2) / 2
= 2
The area of the first rectangle:
(4 - 2)f(4) = 2[4 + cos(4π)]
The area the second triangle:
(6 - 4)f(6) = 2[6 + cos(6π)]
Now just compute the two areas and combined them. That will give you the estimated under the curve.
To evaluate the midpoint of each rectangle, we take the midpoint of the base lengths of each rectangle. This midpoint is the x value. Then evaluate the function at that x value.
The midpoint of the first rectangle is x=3. Evaluate f(3).
The midpoint of the second rectangle is x=5. Evaluate f(5).
STEP 1
Bandages: multiply number of total kits by number of bandages per kit
9 * 24= 216 bandages total
STEP 2
Antiseptic Wipes: multiply number of total kits by number of antiseptic wipes per kit
9 * 16= 144 antiseptic wipes total
STEP 3
find difference between steps 1 & 2
= 216 bandages - 144 antiseptic wipes
= 72 more bandages
ANSWER: She packed 72 more bandages than antiseptic wipes.
Hope this helps! :)
I'm not sure what operation you're using but for example, subtraction and addition are inverse operations and division and multiplication are inverse operations
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
3
5
,
4
5
)
,
(
−
7
25
,
−
24
25
)
(
3
5
,
4
5
)
,
(
-
7
25
,
-
24
25
)
Equation Form:
x
=
3
5
,
y
=
4
5
x
=
3
5
,
y
=
4
5
x
=
−
7
25
,
y
=
−
24
25
Answer:
No they are not; rectangles are only similar if there is a consistent ratio between all sides. An example of two rectangles that are similar would be a rectangle with dimensions of 2 x 7 and another one with dimensions of 4 x 14.
