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Nostrana [21]
3 years ago
7

How to divide a small number by a bigger number?

Mathematics
1 answer:
EastWind [94]3 years ago
6 0
To divide a small number by a bigger number, just see how many times the smaller number fits into the bigger number.
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-43 - 4r = 3( 1 - 9r )
Karolina [17]

-43 - 4r = 3 - 27r

Add 27r to both sides. -43 - 4r + 27r = 3 -27r + 27r or -43 + 23r = 3

Add 43 to both sides. -43 + 43 +23r = 3 + 43 or 23r = 46.

Divide both sides by 23 to get r by itself. 23r / 23 = 46 / 23 or r = 2

r = 2

6 0
3 years ago
Read 2 more answers
I’ll mark brainlest
galina1969 [7]

Answer: blank number 1 would be 4, and blank number 2 would be 8. then, blank number 3 would be 3. blank number 4 would be 2,048.

Explaination:

the starting number of employees is 4, so that starts off as our base number in the first blank. we are multiplying the 4 by how many will be there in 8 years, so that's why it goes in the second blank. now, we are tripling this every year, so that goes in the 3rd blank as the exponent. multiply all that together in a calculator, and you get 2,048.

3 0
3 years ago
Determine whether a figure with the given vertices is a parallelogram. Use the method indicated.
aliya0001 [1]

Answer with explanation:

The coordinates of four points of Quadrilateral ABCD are

    A(4, 5), B(–7, –10), C(–4, –9), D(7, 6)

AB=\sqrt{(4+7)^2+(5+10)^2}\\\\AB=\sqrt{121+225}\\\\AB=\sqrt{346}\\\\BC=\sqrt{(-7+4)^2+(-10+9)^2}\\\\BC=\sqrt{9+1}\\\\BC=\sqrt{10}\\\\CD=\sqrt{(4+7)^2+(5+10)^2}\\\\CD=\sqrt{121+225}\\\\CD=\sqrt{346}\\\\DA=\sqrt{(7-4)^2+(6-5)^2}\\\\DA=\sqrt{9+1}\\\\DA=\sqrt{10}

Slope between two points is given by

 m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\m_{1}=\frac{-10-5}{-7-4}\\\\=\frac{-15}{-11}\\\\m_{1}=\frac{15}{11}\\\\m_{2}=\frac{-9+10}{-4+7}\\\\m_{2}=\frac{1}{3}\\\\m_{3}=\frac{6+9}{7+4}\\\\m_{3}=\frac{15}{11}\\\\m_{4}=\frac{6-5}{7-4}\\\\m_{4}=\frac{1}{3}

As slope of opposite sides are equal and length of Opposite sides are equal.So,the given Quadrilateral is a Parallelogram.

Option A

Yes; The opposite sides are congruent and have the same slope.

6 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)  <u><em>initial centroids</em></u> 10-40

first cluster (6,12,18,24)  mean:15

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

<u><em>new centroids</em></u> 15-40

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

second cluster (42,48) mean:45

<u><em>final centroids</em></u> 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)<u><em>initial centroids</em></u> 10-20

first cluster (6,12)  mean:9

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

<u><em>new centroids</em></u> 9-32.4

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

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

<u><em>new centroids</em></u> 12-36

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

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

<u><em>final centroids</em></u> 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
3 years ago
What is the range of the following table
MAVERICK [17]

Answer:

Domain: {  3 , 4 , 5 , 6 }

Range:  { 0 , 1 , 2 , 3 }

Step-by-step explanation:

The domain is the set of all the values of  x . The range is the set of all the values of  y .

5 0
2 years ago
Read 2 more answers
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