16. would be C since they both consist of the same variable to the same power
17. x-2x+7-9+4x
c. 3x-2
18. -4(3a-5). You would multiply -4 by 3 a, and -4 by -5. It turns to
-4(3a)-4(-5)
a. -12a+20
Markup=10.82(72/100)≈$7.79 (to nearest cent)
retail=10.82(100+72)/100≈$18.61 (to nearest cent)
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).
Answer:
305 degree
Step-by-step explanation:
As AD and CE are the diameters of circle P, so that they intersect each other at point P.
=> So that ∡CPA and ∡DPE are two vertical angles.
=> ∡CPA = ∡DPE = 93 degree
As we can see, ∡CPA = ∡CPB + ∡BPA =38 + ∡BPA
=> ∡BPA = ∡CPA - 38 = 93 - 38 = 55 degree
As P is the centre of the circle, so that ∡BPA is equal to the measure of the arc AB, equal to 55 degree.
In the circle P, the total measure of arc AEB and arc AB are 360 degree
=> arc AEB + arc AB = 360
=> arc AEB = 360 - arc AB = 360 - 55 = 305
So that the measure of arc AEB is 305 degree