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Travka [436]
4 years ago
8

Does the infinite geometric series diverge or converge? Explain.

Mathematics
2 answers:
Ludmilka [50]4 years ago
8 0

Answer:

Option D. is the correct option.

Step-by-step explanation:

The given geometric series is 4+12+36+108.......infinite terms

Since any geometric series which is infinite in terms always diverges until unless it is in the form of fraction.

So we can not sum the terms of this series because the size of each term will increase with the number of terms.

Option  D is the correct option.

Nadusha1986 [10]4 years ago
4 0
It diverges; it does not have a sum
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Solve the system of equation below using any method.<br> 3x-2y=30<br> 2x+3y=-19
Andrews [41]
{ 3 x - 2 y = 30       * ( 2 )
   2 x + 3y = - 19   *  ( -3 )

         ↓

  6 x - 4 y = 60
- 6x  - 9  y = 57
______________
         -13 y = 117
 
               y = 117 / - 13
  
              y = - 9

For x :

3 x - 2y = 30

3 x - 2 ( -9) = 30

3 x  + 18 = 30

3 x = 30 - 18

3 x = 12

x = 12 / 3

x = 4

x = 4 and y = -9


hope this helps!



5 0
3 years ago
If the area of a triangle is 48, what is the value of x to the nearest degree?
Jobisdone [24]

Answer:

x ≈ 56°

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

Here b = 8 and A = 48, thus

\frac{1}{2} × 8 × h = 48, that is

4h = 48 ( divide both sides by 4 )

h = 12

Using the tangent ratio in the right triangle

tan x = \frac{opposite}{adjacent} = \frac{12}{8}, thus

x = tan^{-1}( \frac{12}{8} ) ≈ 56° ( to the nearest degree )

7 0
3 years ago
1.) (2)(8+2i)= <br> Multiplying complex numbers
Nutka1998 [239]
Your answer is 16+4i
4 0
3 years ago
Read 2 more answers
Tìm min: 4 căn x -5/ 3 căn x+2
kkurt [141]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
(1) a) 5270 cl= ? dal
Ivanshal [37]

Answer:

Check below

Step-by-step explanation:

1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10

a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl.

2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by

10^3

Bear in mind these useful relations:

1litre =\frac{1}{10^3}m^{3}

1 cm^{3} =1 ml

a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}

6 0
3 years ago
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