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1. A student holds a wrist watch in front of a plane mirror. The student can see an image of ...

watch in the mirror.
The diagram shows the position of the wrist watch and the mirror.
Draw a ray diagram showing how the image of the wrist watch is formed.
Mark the position of the image.
(

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quid with a “sweet” smell.
i. Using the ground state electron configuration and excited state electron
configuration explain the hybridization of the central Carbon (C) atom. (7 Marks)
ii. Identify the orbitals that overlap to form the C-Cl bond. Draw a diagram to show
the orbital overlap. (3 Marks)
iii. What is the bond angle of CCl4? (1 Mark)
b) Consider a Fluorine atom (F) and a Fluorine anion (F-). Which of these two species would
you expect to have a larger radius? Explain your answer. (5 Marks)
c) Explain why the first ionization energy of Aluminum (Al) is less than that of Magnesium
(Mg). (4 Marks)
d) Assume the atom Oxygen(O) can form both cationic(O+) and anionic(O-) species. Place
the following species in order of increasing first ionization energy, starting with the lowest.
O+, O, O-
(5 Marks)
4.
a) Sea water contains roughly 28.0 g of NaCl per liter. (NaCl molar mass = 58.44 gmol-1).
i. Calculate the number of moles of NaCl in a liter of sea water. (2 Marks)
ii. Calculate the molarity of NaCl in sea water. (4 Marks)
iii. Calculate the mass by volume percent (W/V) of NaCl in sea water. (4 Marks)
Lowest first
ionization energy
…………………
…..
Intermediate
ionization energy
…………………
…..
Highest first
ionization energy
…………………

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3.Q1) (15 points) In the diagram below, M1 = 50 Kg, M2 = 20 Kg, mass and radius of the ...

g and 30 cm each, respectively. Both M1 and M2 rest on frictionless surfaces and the system starts from rest.
(a) Draw the fbd for each of M1, M2 and the pulley.
(b) Write the equations of motion for each of M1, M2 and the pulley.
(c) Calculate the linear acceleration of the two masses, as well as the angular acceleration of the pulley.
(d) Calculate the angular velocity of the pulley after M1 and M2 have been displaced linearly by 2 m.
Q2) (10 points) A basketball is thrown with an initial speed v0 of 10.8 m/s at 400 above horizontal, and it enters the hoop from above. The ball is released at 2.00 m above the ground. The hoop is 3.05 m above the ground and 10.0 m away from the player.
(a) Find the time at which the ball passes through the hoop.
(b) Find the ball’s velocity (express in component form) just when it enters the hoop.
(c) Find the ball’s maximum height.
Q3) (5 Points) An object is thrown up from the top of a building of height of 400 m with an initial velocity of 20 m/s.
(a) Find the position and the velocity of the object 5 s later.
(b) With what velocity will it hit the ground?
(c) At the same time the first object is thrown up, a second object is thrown up from the ground at 100 m/s. Will the two objects collide? If yes, calculate when and where,

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vice. The company has four stores located at malls and is planning on expanding to other locations. Each store has a manager, a technician, and between one and four sales reps.
The owners want to create a personnel records database, and they asked you to review a table that they had designed. They suggested fields for Store Number, location, store telephone, manager name, and manager home telephone. They also want fields for technician name and technician home telephone and fields for up to four sales rep names and sales rep home telephones.
Draw an Entity Relationship Diagram modeling their suggested design.
Analyze their original design using the normalization concepts you learned in Module 9. For this part of the question, make sure you begin with the original table in an unnormalized form as requested by the company. Work your way through 1st, 2nd, and 3rd normal forms. At each point, be sure you use the standard notation format to show the changes in the structure of your table(s) (Module 9; 9.6.1). During your analysis, be sure to explicitly illustrate/write about the reason behind the design decisions you make. Additionally, each normal form should have it's own section/heading.
Draw a final ERD showing your final analysis showing the relationship among the entities you identified during normalization

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rvice. The company has four stores located at malls and is planning on expanding to other locations. Each store has a manager, a technician, and between one and four sales reps.
The owners want to create a personnel records database, and they asked you to review a table that they had designed. They suggested fields for Store Number, location, store telephone, manager name, and manager home telephone. They also want fields for technician name and technician home telephone and fields for up to four sales rep names and sales rep home telephones.
a. Draw an Entity Relationship Diagram modeling their suggested design.
b. Analyze their original design using the normalization concepts you learned in Module 9. For this part of the question, make sure you begin with the original table in an unnormalized form as requested by the company. Work your way through 1st, 2nd, and 3rd normal forms. At each point, be sure you use the standard notation format to show the changes in the structure of your table(s) (Module 9; 9.6.1). During your analysis, be sure to explicitly illustrate/write about the reason behind the design decisions you make. Additionally, each normal form should have it's own section/heading.
c. Draw a final ERD showing your final analysis showing the relationship among the entities you identified during normalization

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7.Draw the state diagram of an NFA that accepts the language of all strings of 0 and 1 that have ...

as a substring twice.
For example, 10110010011001, but not 000011100.

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Jays winning each game is 0.375. If the Jays win the first game in this series, what is the probability they will win the series? (Hint: draw a tree diagram and consider each case that would lead to the Jays winning the series.)

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0 students). The mean was calculated to be 75%.
a. Draw the possible distribution curve. Clearly indicate the direction of the skew.
On your diagram label the relative position of the mean, median, and mode.

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10.a) Draw a diagram to represent each of the following reactions. Then balance each equation. b) ...

Include all states of matter.
c) Remember to stay consistent in your representation of atoms. For example if you decide to represent the hydrogen atom as a blue sphere then you must continue to use this symbol and colour in all equations that contain the hydrogen atom.

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11.An elevator WEIGHS 1.0 x 10⁴ N. {Part A} Draw a free body diagram for each part of this questions ...

to show which force is larger [5 marks] {Part B} Determine the MASS of the elevator [2 marks] {Part C} The elevator begins to accelerate UPWARDS from rest at 5.0 m/s². What is the force tension in the cable? [3 marks] {Part D} The same elevator is moving UPWARDS and starts to DECELERATE at 3.0 m/s². What is the force tension in the cable? [3 marks] {Part E} The elevator moves DOWN at CONSTANT velocity at 10 m/s. What is the force tension in the cable? [2 marks] {Part F} The elevator cable snaps (and everyone screams!). What are the forces working on the elevator now? Draw a diagram [2 marks]

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izontal. Its upper
end is connected to a wall by
a rope, and its lower end rests
on a rough, horizontal sur-
face. The coefficient of static
friction between the beam
and surface is ms. Assume
the angle u is such that the static friction force is at its
maximum value. (a) Draw a force diagram for the beam.
(b) Using the condition of rotational equilibrium,
find an expression for the tension T in the rope in
terms of m, g, and u. (c) Using the condition of trans-
lational equilibrium, find a second expression for T in
terms of ms, m, and g. (d) Using the results from parts
(a) through (c), obtain an expression for ms
L
u
Figure P12.16
Q/C
S
vertical component of this force. Now solve the same
problem from the force diagram from part (a) by com-
puting torques around the junction between the cable
and the beam at the right-hand end of the beam. Find
(e) the vertical component of the force exerted by the
pole on the beam, (f) the tension in the cable, and
(g) the horizontal component of the force exerted
by the pole on the beam. (h) Compare the solution
to parts (b) through (d) with the solution to parts
(e) through (g). Is either solution more accurate?
19. Sir Lost-a-Lot dons his armor and sets out from the
castle on his trusty steed (Fig. P12.19). Usually, the
drawbridge is lowered to a horizontal position so that
the end of the bridge rests on the stone ledge. Unfor-
tunately, Lost-a-Lot’s
squire didn’t lower the draw-
involv-
ing only the angle u. (e) What happens if the ladder
is lifted upward and its base is placed back on the
ground slightly to the left of its position in Figure
P12.16? Explain.

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13.let c = {2,4,6}, D = {4,16,25,36} and e= {16,64,100}. R is a relation from C to D where C ...

less than D and S is a relation from D to E where D is a factor of E.
a) Determine the domain and range of ܴR
b) Determine the domain and range of ܵS
c) Draw an arrow diagram of the relations ܴR and ܵS
d) Find the composition relation ܴ R ∘ ܵS
e) Find ܴR^-1
f) Find ܵS^1
ିଵ

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for T-bone steaks (a relatively good cut of meat). Indicate the equilibrium price, quantity, consumer surplus, producer surplus and total expenditure. Is the equilibrium quantity efficient?
2. Show the effect on the market for T-bone steaks that you would expect if incomes increase. Show the change in price and quantity. What type of good do you think T-bone steaks are?
3. Show the effect on the market for T-bone steaks that you would expect if the price of baby-back ribs decreases. Show the change in price and quantity. What do you think the relationship is between steak and ribs?

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n(A)equals14, n(Upper A intersect Upper B intersect Upper C)equals4, n(Upper A intersect Upper C)equals11, n(Upper A intersect Upper B prime)equals8, n(Upper B intersect Upper C)equals9, n(Upper A prime intersect Upper B prime intersect Upper C prime)equals21, n(Upper B intersect Upper C prime)equals4, n(Upper B union Upper C)equals33
Complete the Venn diagram.
\

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les. Draw a neat diagram and find the distance between the instants when the lighthouse 040° T and 120° T.
HINT: This is NOT a problem to be solved using cosine rule. Since the distance is constant, the ship will travel along the arc. You should therefore use radian measure to workout the distance along the arc. Also remember that all bearings are from seawards .
2, The length of a shadow of a vertical flag mast 2.5 meters high is 5.2 meters (shadow's length). Find the sun's altitude.
3, From a ship, a light on the edge of a breakwater bore 045° T . The ship was steering a course of 060° T. After travelling for 30 minutes, the same light bore 280° T and distance off 2.0 nautical miles. Find the speed of the vessel.

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics