The answer is 4/7 in simplest form
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.
You need to multiply the length and the width of the shape.
Answer:
The surface area of the gift box is = 
Step-by-step explanation:
The surface area of the cylinder can be calculated using this formula:

in this case, r is not a number, but rather an expression, which is r =
.
The height of the gift box is twice the radius, which is h = 
To get our curved surface area, we carefully put the expressions for h and r into the equation.




The surface area of the gift box is = 
Answer:
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Step-by-step explanation:
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