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.
Stephen is likely to qualify since his annual income is less than the median income of Texas.
Answer:
The amount earned is $327.75
Step-by-step explanation:
If the workwr working for 5h gets $71.25, then his working for 1 hour could be said to be x.
5h = $71.25
1h = x; cross multiplying would result in
x= 
x= $14.25 which is the pay for 1h
Therefore for 23 h the worker would earn
23* 14.25 = $327.75
For letter b:
First times 5 on both sides to get rid of the denominator of 5
5 * y
— = 4 * 5
5
Then the answer is
y = 20
For letter c:
First move constants on one side, variables on the other
2g = 17 - 8
Then collect like terms:
2g = 9
Then divide both sides which would equal:
g = 9/2
You'll need to provide a bit more information for me to answer this. I.e are you trying to find out how much money will be made after a certain number of years? e.c.t