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Assume that a car decelerates at 2.0m/s2 and comes to a stop after traveling 25m.

a) Find the speed of the car at the start of the deceleration


Liam is struggling to determine which deprecation method he should use for his new silk-screening machine. He expects sales to increase over the next five years. He also expects (hopes) that in two years he will need to buy a second silk-screening machine to keep up with the demand for products of his growing company. Discuss which depreciation method makes more sense for Liam:

  • Higher expenses in the first few years, or keeping expenses consistent over time?
  • Or would it be better for him to not think in terms of time, but rather in the usage of the machine?
  • Please explain your choice.

Write a Python program that will ask the user to enter a word as an input.

  • If the length of the input string is less than 4, then your program should print the same string as an output.
  • If the input string’s length is greater than 3, then your program should add "er" at the end of the input string.
  • If the input string already ends with "er", then add "est" instead, regardless of the length of the input string
  • If the input string already ends with "est", then your program should print the same input string as an output.

The management of Priority Health Club claims that its members lose



an average of 10 pounds or more within the first month after joining



the club. A consumer agency that wanted to check this claim took a



random sample of 36 members of this health club and


found that they



lost an average of 9.2 pounds within the first month of membership



with a population standard deviation of 2.4 pounds. Find the


p



value



for this test. What will you decision be if


α



=




.01?




If a train going 60 m/s hits the brakes, and it takes the train 85 seconds to stop, what is the train’s acceleration? 




A sinusoidal travelling wave in x-direction has amplitude of 15 𝑐𝑚, wavelength of 40 𝑐𝑚 and the

frequency of 8 𝐻𝑧. The vertical displacement at 𝑥 = 0 and 𝑡 = 0 is 15 𝑐𝑚. Find (i) Wave number (ii)

Time period (iii) Wave speed, and (iv) Angular frequency of wave.


if two dice are rolled one time, write the sample space and find the probability of getting these results.

(a) A sum of 6 or 10 or 11.

(b) The product of the two outcomes in an even number.

(c) A sum less than or equal to 7.

(d) Face 2 on any dice.

(e) Prime number on both the dice.

(f) Even number on first dice and odd number on second dice


Write down an equation to represent the production A, X, B, C

n a Laboratory, you have the following chemicals available:



1.0 M NaOH, 1.00 M HCl, 1.00 M H3PO4, NaH2PO4 (s), Na2HPO4 (s), and Na3PO4 (s).



Describe TWO ways of making 1000 mL of a buffer of pH = 12 (Use only the above



chemicals, plus distilled water.)



[Given: H3PO4 - Ka1 = 6.9 x 10-3



; NaH2PO4 - Ka2 = 6.2 x 10-8



; Na2HPO4 - Ka3 = 4.8 x 10-13



]

A compound cylinder is formed by shrinking a tube of 200mm outside and 150mm inside diameter on to one of 150mm outside and 100mm inside diameter. Owing to shrinkage the radial stress at the common surface is 20 MN/m². If this cylinder is now subjected to an internal pressure of 100 MN/m², what is the magnitude and position of the maximum hoop stress?

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