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2 years ago

Is this correct ,please check

Mathematics

1 answer:

Semmy [17]2 years ago

7 0

Choices B, C, and D are correct. Nice work.

Further explanation:

Choice A is ruled out because we aren't multiplying 5 by 6
Choice B is correct because 4*5 is the same as 5*4. Similarly, 3(2+6) is the same as 3(6+2). We can add in any order, and multiply in any order. See the commutative property for more details.
Choice C is correct for similar reasoning as choice B
The distributive property allows us to go from 3(2+6) to 3*2+3*6, showing that choice D is the same as B and C.
You can confirm each answer by using a calculator. The result of simplifying the original expression is 44. You should find that expressions B, C and D also result in 44. Only choice A is the one that doesn't fit in since it results in 56.

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The average square of toilet paper measures 4.1" x 4.1." If one roll of toilet paper has 329 squares, what is the total area of

Hitman42 [59]

Answer:

5,530.49 $inches^{2}$

Step-by-step explanation:

4.1x4.1=16.81

16.81x329

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3 years ago

Find d^2y/dtheta^2 if y=sin^5

castortr0y [4]

Answer:

20 sin³O. cos²O - 5sin⁵O

Step-by-step explanation:

y = sin⁵O

Using the Chain Rule

dy/dO = 5 sin⁴O cosO

Using the Product / Chain rules:

d²y/dO² = 20 sin³O.cosO . cos O+ 5 sin⁴O * - sin O

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7 0

3 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

4 years ago

An office needs to order carpet for a waiting room measuring 30 ft. by 24ft. The carpet is sold in square yards. How many square

Dahasolnce [82]

First thing first is to know that there are 3 feel in one yard
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4 0

3 years ago

Adam uses coconut milk for the dessert.

dmitriy555 [2]

V=(π)(r^2)(h)

π=3
r=half of the diameter=4
h=12

V=(3)(4^2)(12)
= (3)(16)(12)
= 576 cm cubed

4 0

3 years ago