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.
Susie's age from x years ago would be the difference of her current age and the numbers of years that passed which is x. The expression that best represent her age x years ago is 14 - x. Thus, the answer is letter "B. 14 - x".
Answer: 0.685 meters
Step-by-step explanation:
Answer: 240
Step-by-step explanation:
Let the missing number be represented by p
5% of p = 12, where 5% = 5/100
Therefore, we can rewrite the expression as:
5/100 x p = 12
= 0.05p = 12
Divide both sides by 0.05 to get the value of p
0.05p/0.05 = 12/0.05
p = 240
Therefore, 5% of 240 = 12
