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Lorico [155]
3 years ago
14

Find S20 for the geometric series 4 + 12 + 36 + 108 + … 5,034,043,187 5,123,498,245` 6,973,568,800 7,321,089,348

Mathematics
1 answer:
yan [13]3 years ago
8 0
A_{1} = 4
a_{2} = 12

a_{2} = a_{1}*q
12 = 4q
q = 3

S20 = a_{1}*\frac{(q^{20}-1)}{(q-1)}

S20 = 4*\frac{(3^{20}-1)}{3-1}

S20 = 4*\frac{3486784401-1}{2}

S20 = 2*3486784400

S20 = 6,973,568,800
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Which of the following statement(s) describes the rate of change of f over the interval 1.5 ≤ x ≤ 3? Select all that apply.
Vesnalui [34]

2 Answers: Choice B and Choice C

The rate of change is 2.

The rate of change is constant.

======================================================

Explanation:

The first point on the left is when x = 1.5 and it has a height of y = 1

The point (1.5, 1) is on the line.

So is the point (3,4) for similar reasoning.

Compute the slope between those points

m = (y2-y1)/(x2-x1)

m = (4-1)/(3-1.5)

m = 3/(1.5)

m = 2

The slope is 2, which is the same as saying the rate of change is 2. This only applies when x > 1 of which the interval 1.5 ≤ x ≤ 3  is a part of.

Since the slope stays at 2 on the interval 1.5 ≤ x ≤ 3, this means we consider the slope to be constant. If the curve bended at all on this interval, then it wouldn't be a constant slope.

6 0
2 years ago
Pleease help me with this math work
OleMash [197]
The first one because the left bound is included [ and the right one is not )
6 0
4 years ago
28.) Find the slope of the line that passes through the pair of points.
DerKrebs [107]

Answer:

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4 0
4 years ago
Help, and if you can give me a step by step explanation
Llana [10]

Answer:

the first option

Step-by-step explanation:

variability !

what does that word tell us ?

it means that there are more individuals differences.

you could also use "accuracy" as the opposite - we are aiming for the mean value ...

imagine some bow and arrow tournament.

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now look at the graphic for neighborhood A.

and then for neighborhood B.

which one has the data points more clustered around the center (where the mean value is going to be) ? this one has lower variability than the one where the data points are having more than one cluster or are even all over the place.

remember, for the variability you have to add all the differences to the mean value. the smaller the differences to the mean value, the smaller the variability.

in neighborhood B almost all data points have a larger difference to the mean value.

so, the variability will be higher here.

5 0
2 years ago
(-10) + 3 = 10 - 3 is true or false??? ​
Goshia [24]

(-10) + 3 = -(10 - 3) = -7

10 - 3 = 7

-7 ≠ 7

<em><u>FALSE</u></em>

3 0
3 years ago
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