Answer:
80.8
Step-by-step explanation: 0.7x4x6=16.8
16.8+8 to the 2nd power= 80.8
Answer: -5, -7, and -9
Step-by-step explanation:
checking the pattern they are subtracting by two by the next term, so subtracting 2 from -3 would be -5 and so on.
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.
Step-by-step explanation:
The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)
2/5 = x/10
The means in this equivalent ration are 5 and x. The extremes are 2 and 10.
5x = 20
Now solve =)
x = 4
That was pretty simple. Let's move on to the next one. Do exactly the same thing here:
4/10 = 6/x
60 = 4x
15 = x
That was pretty simple, too! Keep going!
6/15 = x/25
15x = 150
x = 10
All of these should be equal, so check them by dividing:
2/5 = 0.4
4/10 = 0.4
6/15 = 0.4
10/25 = 0.4
They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25
I really hope this helps you =)