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BartSMP [9]
2 years ago
5

Which sets of numbers represent geometric sequences? Check all that apply.

Mathematics
1 answer:
mart [117]2 years ago
8 0

Answer:

Geometric sequences are below in bold.

Step-by-step explanation:

First one is 2/5, 2/10, 2/20, 2/40

2/10 = 2/5 * 1/2 ; 2/20 = 2/10 * 1/2

This is geometric with common ratio 1/2.

Second is  11/12, 8/12, 5/12, 2/12

This is not geometric It is arithmetic with common difference  -3/12.

25, 19, 13, 7....     is arithmetic with d = -6

4, 12, 36, 108

12 = 3*4, 36 = 3*12   and so on

This is geometric with r = 3.

-5, 5, -5, 5,...

Each term is obtained from the prievious by multiplying by - 1. S

this is geometric with r = -1.

-3, 0, 3, 6 is arithmetic with d = 3.

-8, -2, 1/2, 1/8

This is not geometric as there is no common ratio.

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Write the equation of the line that passes through points (-7,8) and (4,-5)
Alex

Answer:

y=-3/11x+67/11

Step-by-step explanation:

y-8=-5-8/4--7(x--7)

y-8=-3/11(x+7)

11y-88=-3x-21

11y=-3x-21+88

11y=-3x+67

y=-3/11x+67/11

5 0
3 years ago
Read 2 more answers
Find the value: 3/2 ÷ 5/8 (write your answer as a fraction AND as a decimal number)
Vikki [24]

Answer:

Decimal : 2.4

Fraction: 2 4/10 or 2 2/5

Step-by-step explanation:

hope this helps :) plz mark brainliest to help my rank

4 0
2 years ago
Read 2 more answers
For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) (y/10) (z/6)
kotykmax [81]

This question is incomplete, the complete question is;

For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) + (y/10) + (z/6) = 1 equal to 10?

Answer: the value of a is 1

Step-by-step explanation:

Given that;

Volume of tetrahedron bounded by plane (x/a) + (y/10) + (z/6) = 1

and coordinate plane is; V = 1/6|abc|

(x/a) + (y/10) + (z/6) = 1

volume = 10

so

10 = 1/6 | a × 10 × 6 |

60 = a × 10 × 6

60 = 60a

a = 60 / 60

a = 1

Therefore the value of a is 1

3 0
3 years ago
Which of the following is equivalent to 2 ln e^ln 5x = 2 ln 15?
neonofarm [45]

Answer:

x  = 3

Step-by-step explanation:

Given in the question an equation,

2lne^{ln5x}=2ln15

Step 1

e^{lnx}=x

so,

2ln(5x)=2ln15

Step 2

cancel 2 on both sides of the equation

ln{5x}=ln15

Step 3

ln{5x}-ln15=0

ln\frac{5x}{15}=0

Step 4

ln\frac{x}{3}=0

Step 5

e^{ln\frac{x}{3}}=e^{0}

Step 6

x/3 = 1

x = 3(1)

x = 3

8 0
3 years ago
4
Natali [406]

The ratio of the area of ∆ABC to the area of ∆DEF is; 1:100.

<h3>What is the ratio of the area of ∆ABC to the area of ∆DEF?</h3>

Since, a major criterion for similarity and congruence of triangles is that the ratio of corresponding sides are equal.

On this note, since the task content suggest that the ratio of the perimeters is; 1:10, it follows from conventional mathematics that the ratio of their areas is given as; 1²:10²; 1:100.

Read more on congruent triangles;

brainly.com/question/9217675

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8 0
2 years ago
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