Answer:
the answer 14.0125. rounded = 14
Step-by-step explanation:
convert the percentage to a decimal
4.75% --> move two decimal places --> 0.0475
multiply 295*0.0475
= 14.0125
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
6 and -3
6 + -3 = 3
6 x -3 = -18
Hope that helps!
<span> C. -8 or 8
</span>
4 |-8| = 4*8 = 32
4 |<span>8</span>| = 4*8 = 32
