.A student earned 75 out of 100 in Col110 quiz for the first time, then she earned 85 out of 100 in the second time for the same
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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.
After the translation 4 units down
The rule of translation is (x, y) to (x , y-4)
The graph will be as following
============================================================================
For the graph of the triangle:
D = ( 4 , 0) , B = (6 , -2) and C = ( 10 , -2)
it is required to graph after translation 7 units left and 8 units up
So, for each point add ( -7 , 8 )
So,
D' = ( -3 , 8) , B' = (-1 , 6 ) and C' = ( 3 , 6)
the graph will be as following:
