You intercepted the following message from Boris and Natasha.
25 19 19 30 41 17 15 26 27 41 15 28 18 41 18 29 41 34 22 19 41 27 15 34 22
You do not now the encoding or decoding function but from previous work with Boris and Natasha you know their encoding and decoding functions are always linear and have 1 as the coefficient of x. You also know this message consists of 6 words.
a. How would you decoding the message? Explain your strategy in complete sentences using proper grammar and correct spelling.
b. Identify the decoding function. Show your work.
c. What is the message?

9514 1404 393

  KEEP CALM AND DO THE MATH

Step-by-step explanation:

a) Our decoding strategy is to try to determine the mapping of code numbers to letters by looking at the range and/or frequency of the numbers. The minimum code value is 15, and the maximum is 41. We assume this means the value 15 corresponds to the letter A. Since the code is linear and the coefficient is 1, we assume this is a simple substitution code. We can find the letter number by subtracting 14 from the code number.

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b) The decoding function will be ...

  alphabet[n-14]

where alphabet[x] returns the x-th letter of the alphabet, and n is the code number. Subtracting 14 from the message numbers gives alphabet index number ...

  11, 5, 5, 16, 27, 3, 1, 12, 13, 27, 1, 14, 4, 27, 4, 15, 27, 20, 8, 5, 27, 13, 1, 20, 8

The value 27 refers to a non-alphabetic character, which we choose to interpret as a space. The attachment shows the relation between these numbers and letters of the alphabet.

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c) The message is ...

  KEEP CALM AND DO THE MATH

The answer is in the image 

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The solution is in the following image

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The solution is given in the image below

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.