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S_A_V [24]
3 years ago
15

What is the explicit formula for the geometric sequence: 224, 112, 56, 28, ... .

Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0

Answer:

a_n=224(1/2)^n-1

Step-by-step explanation:

In this geometric sequence, we can see that the common ratio is 1/2 and the 1st term is 224. using this information, we can plug it into the geometric series formula and we get a_n=224(1/2)^n-1.

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A cylindrical container has a radius of 0.3 meter and a height of 0.75 meter. The container is filled with kerosene. The density
saveliy_v [14]

Answer:

172.83 kg

Step-by-step explanation:

A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.

The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:

Density = Mass / volume

The volume of a cylinder is given as:

V = πr²h

V = π × (0.3)² × 0.75 = 0.212 m³

Density = Mass/ volume

Mass = Density × Volume

Mass = 815 kg/m³ × 0.212 m³

Mass = 172.83 kg

6 0
3 years ago
Express the following relation as a graph: {(7,4), (9,8), (2,7), (10,0)}.
Vikentia [17]

Answer:

[In Picture]

Step-by-step explanation:

The relation is a function since there is one value of y for every value of x.

I hope you mean this...

5 0
3 years ago
A triangle has sides with lengths of 14 centimeters, 15 centimeters, and 19 centimeters. Is it a right triangle?
Svetlanka [38]
Yes

15+14 > 19 true
15+19 > 14 true
14+19 > 15 true

If all the statements are true then it’s a right triangle.
6 0
3 years ago
30 POINTS! ANSWER ASAP PLEASE!!! WILL THANK ACCOUNT AND ALL ANSWERS!!
Sindrei [870]

Answer:

  16.9 units

Step-by-step explanation:

Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...

  14.87 + 2 = 16.87 ≈ 16.9 . . . units

_____

The distance formula can be used to find the lengths of individual segments. It tells you ...

  d = √((Δx)² +(Δy)²)

where Δx and Δy are the differences between x- and y-coordinates of the segment end points.

If the segments are labeled A, B, C, D, E in order, the distances are ...

  AB = √(5²+1²) = √26 ≈ 5.099

  BC = √(1²+3²) = √10 ≈ 3.162

  CD = Δx = 3

  DE = √(3²+2²) = √13 ≈ 3.606

  EA = Δy = 2

Then the perimeter is ...

  P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867

  P ≈ 16.9

8 0
4 years ago
Three fractions that can be expressed as percents between 50% and 75%
weeeeeb [17]
1/2,3/4,2/3...................
8 0
4 years ago
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