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nikdorinn [45]
2 years ago
11

El numeral 32012(4) representado en el sistema decimal, porfavor

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
7 0

Answer: El número es 902 en el sistema decimal.

Step-by-step explanation:

Supongo que tenemos el número:

32012 en base 4, y lo queremos representar en base decimal.

Entonces, usando la regla general, podemos escribir este número como:

unidades*base^0 + decenas*base^1 + centenas*base^2......  

Es decir, acá tenemos:

2*4^0 + 1*4^1 + 0*4^2 + 2*4^3 + 3*4^4 = 902

El número es 902 en el sistema decimal.

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Artyom0805 [142]
X-intercept has coordinates (x,0)
Y-intercept has coordinates (0,y)
So, the statement "<span> The ordered pair of x-intercept has a zero for the x-value" is false.
</span><span> The ordered pair of x-intercept has a zero for the y-value.</span>
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A consumer protection agency is testing a sample of cans of tomato soup from a company. If they find evidence that the average l
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In 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?​
JulsSmile [24]

Answer:

N = 6 so that number becomes divisible by 3, 6 and 9.

Step-by-step explanation:

In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that n = 154N38, then its sum of digits is:

x = 1 + 5+4+N+3+8

x = 21+N (Eq. 1)

We have to determine which digits corresponds to multiples of three, there are four digits:

N = 0

x = 21+0

x = 21 (3\times 7 = 21)

N = 3

x = 21+3

x = 24 (3\times 8 = 24)

N = 6

x = 21+6

x = 27 (3\times 9 = 27)

N = 9

x = 21+9

x = 30 (3\times 10 = 30)

We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:

154038 = 2\times 3\times 25673

154338 =2\times 3\times 29 \times 887

154638 = 2\times 3\times 3\times 11\times 11\times 71

154938 = 2\times 3\times 7\times 7\times 17\times 31

It is quite evident that N = 6 so that number becomes divisible by 3, 6 and 9.

6 0
2 years ago
Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours. At this rate of growth, how many bacteria will
Alik [6]

The number of bacteria grown in 32 hours is 15771

<u>Step-by-step explanation:</u>

It is given that,

Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.

Therefore, the bacteria has grown from 100 to 7000 in 14 hours.

<u> To calculate number of bacteria grown in 14 hours :</u>

⇒ 7000 - 100 = 6900

6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.

<u>To calculate number of bacteria grown in 1 hour :</u>

⇒ Total bacteria growth in 14 hours / 14

⇒ 6900 / 14

⇒ 492.85

<u>To calculate number of bacteria grown in 32 hours :</u>

⇒ 492.85 × 32

⇒ 15771.2

⇒ 15771  (rounded to nearest whole number)

∴ The number of bacteria grown in 32 hours is 15771

6 0
2 years ago
Read 2 more answers
Quadrilateral TRAM is rotated -90 degrees about the origin. Draw the image of this rotation.
SpyIntel [72]

Answer:

Please find attached the image of the quadrilateral TRAM after a rotation of -90 degrees, created with MS Excel

Step-by-step explanation:

The given coordinates of the vertices of the quadrilateral TRAM are;

T(-5, 1), R(-7, 7), A(-1, 7), M(-5, 4)

By a rotation of -90 degrees = Rotation of 90 degrees clockwise, we get;

The coordinates of the preimage before rotation = (x, y)

The coordinates of the image after rotation = (y, -x)

Therefore, we get for the the quadrilateral T'R'A'M', by rotating TRAM -90 degrees as follows;

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R(-7, 7) → R'(7, 7)

A(-1, 7) → A'(7, 1)

M(-5, 4) → M'(4, 5)

The image of TRAM after -90 degrees rotation is created by plotting the derived points of the quadrilateral T'R'A'M' on MS Excel and joining the corresponding points as presented in the attached diagram.

7 0
2 years ago
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