Answer: The answer is 300 gallons.
Step-by-step explanation: Riemann sum is a method of calculating the total area under a curve on a graph, which is also known as Integral.
To calculate that area, we divide it into a number of rectangles with one point touching the curve. The curve has a closed interval [a,b] that can be subdivided into n subintervals, each having a width of Δ
= 
If a function is defined on the closed interval [a,b] and 
is any point in [
,], then a Riemann Sum is defined as ∑f()Δ.
For this question:
Δ = 
= 1.4
Now, we have to find s(t) for each valor on the interval:
s(t) = 0.29
- t +25
s(0) = 25
s(1) = 24.29
s(2) = 24.16
s(3) = 24.61
s(4) = 25.64
s(5) = 27.25
s(6) = 29.44
s(7) = 32.21
Now, using the formula:
∑f()Δ = 1.4(25+24.29+24.16+24.61+25.64+29.44+32.21)
∑f()Δ = 1.4(212.6)
∑f()Δ ≅ 300
With Riemann Sum, it is estimated the total country's per capita sales of bottled water is 300 gallons.
28.6 / 89.4 = 0.75 / x
cross multiply
28.6x = 67.05
x = 67.05 / 28.6
x = 2.34 <==
Answer:
i am not sure but i might know how to do it
Step-by-step explanation:
work is described as taking place when a force acts upon an object to cause a displacement. When a force acts to cause an object to be displaced, three quantities must be known in order to calculate the work. Those three quantities are force, displacement and the angle between the force and the displacement. The work is subsequently calculated as force•displacement•cosine(theta) where theta is the angle between the force and the displacement vectors. In this part of Lesson 1, the concepts and mathematics of work will be applied in order to analyze a variety of physical situations
Answer:
1/2 or 0.50
Step-by-step explanation:
To find the probability of getting either blue or green on a spinner, we must add both probabilities together.
To make adding our two fractions easier, we need to make sure they have like denominators.
Now that the denominators of our probabilities are the same, we can add them together to get our answer.
or 
Answer =-3 or -3/1
You can either do rise/run
Or you can find two points on the line and do (y2-y1)/(x2-x1)
Two points on the line are (-1,2) and (-3,-4)
X1=-1 Y1=2
X2=-3 Y2=-4
(y2-y1)/(x2-x1) = (-4-2)/(-3-(-1)) =(-6)/(-3+1)
=-6/-2 = -3
So slope =-3/1 or -3 (same thing)
