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.
Answer:
x=16.5
Step-by-step explanation:
12.7 + 3.8 = x - 3.8 + 3.8
16.5 = x
She
wants to serve --------- > 2 gallons of juice that is 75% orange
juice and 25% pineapple juice
then
2*0.75------------------ > 1.5 gallons of orange juice
2*0.25------------------ > 0.5 gallons of pineapple juice
2 gallons------------ >1.5 gallons of orange juice+ 0.5 gallons
of pineapple juice
if
1 gallons pineapple juice mixture--------------------- > 0.40 gallons pineapple juice
X-------------------------------------------------------------------
> 0.50 gallons pineapple juice
X=50/40=1.25
gallons juice mixture
1.25
mixture gallons---- > 0.50 gallons pineapple juice+0.75 gallons orange juice
Therefore
(2-1.25)=0.75
gallons of orange juice
2 gallons------------ >0.75 gallons of orange juice+ <span>1.25 mixture gallons </span>
0.75*(p)+1.25*(m)=2--------------- > (0.75/1.25)*(p)+(1.25/1.25)*m=2/1.25
0.60p+m=1.6
The answer is 0.60p+m=1.6
