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Which one of the following phrases represents the expression 5𝑛 − 4

[1] Four minus the product of five and a number. [2] Four less than five times a number. [3] The difference between four and five times a number. [4] The sum of five and a number decreased by four.


sum of powers:


you are given a list of integers L of size N.write a program to compute the value of SUM

SUM=x1pow1+x2pow2+x3pow3+---+xNpowN

where xi concatenated with powi is the i th element of the list L

and powj is a single digit number

i/p: the input contains space separated N integers

the o/p should be a single integer denoting SUM

L=[25]

o/p:x1=2 , pow1=5

SUM=2^5=32

i/p: 132 301

o/p:199


Evaluate:


sin 30⁰ cos 45⁰ − cos 30 ⁰ sin 45⁰


On your cousin’s wedding day you leave for the church 45.0 min before the ceremony is to begins, which should leave plenty of time since the church is only 30.0 km away.On the way, however, you have to make an unanticipated stop because of road construction work.As a result, your average speed for the first 15 min is only 10.0 km/h.

What average speed do you need to have on the remainder of the trip to get you to the church on time

A manufacturer of flashlight batteries took a sample of 13 batteries from a day’s production and used them continuously until they failed to work. The life of the batteries in hours until failure is:  342, 426, 317, 545, 264, 451, 1049, 631, 512, 266, 492, 562, 298 . What would you advise if the manufacturer wanted to say in advertisement that these batteries last more than 400 hours?


Two players are each given a set of 3 dice. The first player throws the 3 dice and the

numbers on the top face of each die is recorded. Then the second player similarly

throws his 3 dice and the numbers on the top face of each die is also recorded. The

two sets of readings are compared and a player is deemed to have won that round if

any of the following occurs: -


(a) A set of all same numbers are obtained e.g. all 1s, or all 2s, or any other number

therein. If both players fall into this scenario during that round, then it is a draw

for that round. If only one player throws all the same numbers, then he wins

that round.

(b) Both players throw their dice and obtained three different numbers. All three

numbers are totalled up and whoever has the larger total, wins that round.

However, if the total of both players are the same then it is a draw.

After N rounds, the first player to reach a total accumulated round wins of 10 is declared

the overall winner.


Discuss how you can apply the study of weather and climate in agriculture.

A 55.0m wire carries a current of 2.25 A in a location where Earth's magnetic field is 4.5 x10-3 T. Ther wire experiences a force of 0.15 N. Find the angle between the wire and the magnetic field.


An organization is granted a block of addresses with the beginning address

150.25.0.0/24. The organization needs to have 3 subblocks of addresses to use in its three

subnets: one subblock of 11 addresses, one subblock of 40 addresses, and one subblock of

125 addresses. Design the network and plot it completely with respective subnets, IP range,

Network IDs


Create a program using C# that implements the stream ciphers Cryptographic method . A stream cipher method inputs digits, bits, or characters and encrypts the stream of data. The onetime pad is an example of a stream cipher.

In this formative you have been requested to create an application that will work as the One-time pad (OTP), also called Vernam-cipher or the perfect cipher. This is a crypto algorithm where plaintext is combined with a random key and generate a ciphertext

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