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Stolb23 [73]
3 years ago
5

Use Bacon's code and the dummy message "mathematics is very fun to encode the word OUCH. For the sake of readability, use lowerc

ase letters for 0 and uppercase letters for 1.
Mathematics
1 answer:
torisob [31]3 years ago
3 0

Answer:

mATHeMaTics is Very FUN

Step-by-step explanation:

When coding the word OUCH using the Bacon's code alphabet with binary numbers we have:

O=01110

U=10100

C=00010

H=00111

Following the rule of lowercase and uppercase letters in the dummy message we will have:

      O                   U                  C                    H

0  1  1  1  0   1  0  1  0  0    0  0  0  1  0    0  0   1   1   1

m A T H e  M a  T  i   c     s   i   s  V e    r   y   F U N

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bacteria colonies can triple in size every 4 days. if you start with 40 bacteria microorganisms, how large would the colony be a
Westkost [7]

<span>Assuming the reaction is of 1st order, we can start using the formula for rate of 1st order reaction:</span>

dN / dt = k * N

Rearranging,

dN / N = k dt

Where N = amount of sample, k = rate constant, t = time

Integrating the equation from N = Ni to Nf and t = ti to tf will result in:

ln (Nf / Ni) = k (tf – ti)

Since k is constant, we can equate to situations. Situation 1 is triple in size every days, situation 2 is after 20 days.

ln (Nf / Ni) / (tf – ti) = k

ln (3Ni / Ni) / 4 = ln (Nf / 40) / 20

Calculating for Nf,

<span>Nf = 9,720 bacteria </span>

6 0
4 years ago
Read 2 more answers
Maria looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of on
Sergio [31]

Answer:

One of the length of the side is 13 inches, the other length is(x=8inches)which implies that the geometry is a "rectangle not square because the length of the sides are not equal.

Step-by-step explanation:

CHECK COMPLETE QUESTION BELOW;

Maria looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one wall in the plan is 13 inches. The length of the diagonal of the floor of the room in the plan is approximately 15.26 inches.

Is the room in the shape of a square? Explain how you determined your answer. Show all your work.

CHECK THE ATTACHMENT FOR FIQURE THAT GIVES THE INTERPRETATION OF THE QUESTION

Using Pythagoras rule

C² = a² + b²

Where

C= Hypotenuse side= 15.26 inches.

a= adjacent side= x

b= opposite side= 13 inches

a² = b²+ C²

= ( 15.26²- 13²)

=(232.86 - 169)= 63.87

a= √63.87= 8inches

Which means the "x" side is 8inches

One of the length of the side is 13 inches, the other length is 8inches, which implies that the geometry is a "rectangle not square because the length of the sides are not equal.

7 0
3 years ago
.If you add 5 to both the numerator and the denominator of a fraction, you obtain 2/3; however, if '
Stels [109]

Answer:

The fraction that this is true for = 7/13

Step-by-step explanation:

From the above question

Let the numerator be represented by a

Let the denominator be represented by b

If you add 5 to both the numerator and the denominator of a fraction, you obtain 2/3

This means:

a + 5/b + 5 = 2/3

Cross Multiply

3(a + 5) = 2(b + 5)

3a + 15 = 2b + 10

Collect like terms

3a - 2b = 10 - 15

3a - 2b = -5..........Equation 1

If you subtract 5 from both the numerator and the denominator of the same fraction, you obtain 1/4

This means:

a - 5/b - 5 = 1/4

Cross Multiply

4(a - 5) = 1(b - 5)

4a - 20 = b - 5

Collect like terms

4a - b = 20 - 5

4a - b = 15..........Equation 2

b = 4a - 15

3a - 2b = -5..........Equation 1

4a - b = 15..........Equation 2

Substitute 4a - 15 for b in equation 1

3a - 2b = -5..........Equation 1

3a - 2(4a - 15) = -5

3a - 8a + 30 = -5

Collect like terms

3a - 8a = -5 - 30

-5a = -35

a = -35/-5

a = 7

Therefore, the numerator of the fraction = 7

Substitute 7 for a in Equation 2

4a - b = 15..........Equation 2

4 × 7 - b = 15

28 - b =15

28 - 15 = b

b = 13

The denominator = b is 13.

Therefore,the fraction which this is true for = 7/13

To confirm

a) If you add 5 to both the numerator and the denominator of a fraction, you obtain 2/3

This means:

a + 5/b + 5 = 2/3

7 + 5/ 13 + 5 = 2/3

12/18 = 2/3

Divide numerator and denominator by of the left hand side by 6

12÷ 6/ 18 ÷ 6 = 2/3

2/3 =2/3

If you subtract 5 from both the numerator and the denominator of the same fraction, you obtain 1/4

This means:

a - 5/b - 5 = 1/4

7 - 5/13 - 5 = 1/4

2/8 = 1/4

Divide the numerator and denominator of the left hand side by 2

2÷2/8 ÷ 2 = 1/4

1/4 = 1/4

From the above confirmation, the fraction that this is true for is 7/13

8 0
3 years ago
At the same time that a 60-foot tall building casts a shadow that is 21.5 feet long, a nearby tree casts a shadow that is 18 fee
OLga [1]
(60/21.5)*(18) = 50.23 . . . answer is likely 50 feet tall
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4 years ago
Which of the following is the most appropriate unit to describe the rate at which people are entering a theme park? (2 points) H
gulaghasi [49]

The last one. People per hour because the dependent quantity is the people.
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3 years ago
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