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2 years ago

Question 1

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

7 0

Answer:

T5 = 512

Step-by-step explanation:

Given the sequence

2,8, 32, 128,...

The sequence is a geometric progression

nth term of a geometric progression is expressed as:

Tn = ar^n-1

a is the first term = 2

n is the number of terms = 5 (next term is the 5th term)

r is the common ratio = 8/2 = 32/8 = 4

Substitute and get the fifth term

T5 = 2(4)^5-1

T5 = 2(4)^4

T5 = 2*256

T5 = 512

Hence the next term is 512

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5 divided by 2,165 equals?

Mekhanik [1.2K]

answer:

1/433 (decimal: 0.002309)

step-by-step explanation:

5/2,165

= 1/433

to change 1/433 to decimal we'll divide the numerator by the denominator-

1÷433

=0.00230946882

so we're going to round to the ten-millionths place

5 or more raise the floor, 5 or less let it rest

4>5

so 0.002309

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

5 0

2 years ago

Name the property illustrated. 4 + 3 + 9 = 3 + 4 + 9 Yall please answer ASAP

sattari [20]

Answer:

true

Step-by-step explanation:

4+3+9=3+4+9

use the commutative property to rearrange the terms.

4+3+9=4+3+9

equality is true because both members are identical.

5 0

2 years ago

Find the sum of the first 8 terms of the following series, to the nearest integer. 36, 30,25,...

givi [52]

1288991/7776

Mark brainliest please

Hope this helps you

6 0

2 years ago

The graph below represents the solution set of which inequality?

Butoxors [25]

It's B, i just took the test... So :3

5 0

2 years ago

Consider a set of one-dimensional points: 6, 12, 18, 24, 30, 42, 48.

Vinvika [58]

Answer:

1) With initial centroids 10-40, final clusters are

first cluster (6,12,18,24,30)

second cluster (42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 378

2) With initial centroids 10-20, final clusters are

first cluster (6,12,18,24)

second cluster (30,42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 348

Step-by-step explanation:

K-means works as follows

the points will be clustered according to their distance to the centroids.
Then centroids are updated as the cluster means.
This process continues until clusters doesn't change anymore

1) initial centroids 10-40

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

new centroids 15-40

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

final centroids 18-45

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

Sum of Squared errors = $(18-6)^{2}$ + $(18-12)^{2}$ + $(18-18)^{2}$ + $(18-24)^{2}$ + $(18-30)^{2}$ + $(45-42)^{2}$ + $(45-48)^{2}$ =378

2)initial centroids 10-20

first cluster (6,12) mean:9

second cluster (18,24,30,42,48) mean:32.4

new centroids 9-32.4

first cluster (6,12,18) mean:12

second cluster (24,30,42,48) mean:36

new centroids 12-36

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

final centroids 15-40

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

Sum of Squared errors = $(15-6)^{2}$ + $(15-12)^{2}$ + $(15-18)^{2}$ + $(15-24)^{2}$ + $(40-30)^{2}$ + $(40-42)^{2}$ + $(40-48)^{2}$ =348

6 0

2 years ago