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When selecting one card from a standard deck, what is the probability of selecting a Jack AND a Club?
An urn contains 10 red balls, 6 green balls, 15 orange balls, and 14 blue balls.
If one ball is randomly drawn from the urn, what are the odds against the ball being green?
The odds against an event are 7 to 1. Find the probability that the event will occur?
The probability of an event is 7/10. Find the odds against that event.

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2.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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3.A force of 40.0 N is needed to compress a spring 0.200 m. A 1.00 x 10-2 kg ball ...

ring.
a) Calculate the work done to compress the spring. (2 marks)
b) What happens to the work done on the spring ? (1 mark)
c) If the spring is released, what happens to the energy of the spring? (1 mark)
d) Calculate the total mechanical energy of the ball at the instant it leaves the spring. (2 marks)
e) What will be the speed of the ball at the instant it leaves the spring? (2 marks)
f) If the ball is fired up into the air by the spring, how much gravitational potential energy will it gain? (1 mark)
g) What will be the maximum height of the ball? (2 marks

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4.Will a golfer using a wedge that sends the ball into the air at an angle of 54, be able ...

r ball
over a 45 ft tree if she is 30 feet in front of the tree?

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. A few years back I kinda dropped the ball with school. If I didn't understand something, I gave up on it. Because of that I've been pretty behind for quite a while now, but this year I decided to change and become a better student. There's still a few things I'm not entirely great at, but out of them all math is one that I suffer from the most. Geometry hasn't been too hard up until now, but I never quite understood certain aspects of Algebra and my current Geometry lessons require some algebraic knowledge which is what I lack. I've tried doing it on my own but I don't understand things easily, Khan Academy is super helpful but most of the time, the amount of knowledge overwhelms me and I don't learn a thing from the video/lesson. I know this is not going to be a simple one and done fix, but I know that I can't just keep passing by without improving my math skills so that's why I came here. I don't know how this works or if it's even going to help, but right now I think it's worth the try. Thank you in advance.

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a penguin aquarium with 6 penguins such that there are only at most 3 emperor penguins?
2. A gold pen,2 red pens, and 9 black pens are to be distributed among Alicia,Alice,Alma, and Aurora. A "Wonderful Set" is a set of pens that contains a gold ball pen but not a red pen. How many distinct ways can the pens be distributed among the girls such that one of the girls receives a Wonderful set and that she receives strictly the fewest pens?Assume pens of the same color are indistinguishable.
3.AMS is producing a set of commemorative license plates. Each license plate contains 5 characters from the string "AMS2020". How many license plates can be made?
4 Eight students including Take,Taki,Taka are to be arranged to sit at a circular table.How many ways can this be done if Taki and Take must sit diametrically opposite to each other,and that Taka must not sit beside Taki?

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7.1. A ball is thrown with an initial speed of 20 m/s at an angle of 60° to the ground. ...

ance is negligible, what is the ball’s speed at the instant it reaches its maximum height from the ground?
A. - 20 m/s
B. 0 m/s
C. + 17.3 m/s
D. + 10 m/s
E. + 20 m/s
2. A rhino charges full speed at a car with an initial velocity of 15 m/s. When the rhino collides with the car, it crumples in by 1 m before the rhino comes to a complete stop. What acceleration did the rhino feel as it came to a stop?
A. - 112.5 m/s^2
B. - 7.5 m/s^2
C. - 30 m/s^2
D. + 112.5 m/s^2
E. + 30 m/s^2
F. + 7.5 m/s^2
3. Two students want to determine the speed at which a ball is released when thrown vertically upward into the air. One student throws the ball into the air while the other student measures the total time that the ball is in the air. The students use a meterstick to measure the release height of the ball. Which of the following equations should the students use to determine the speed at which the ball was released? *
A. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.
B. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.
C. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.
D. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.

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8.If a ball is thrown straight up into the air with an initial velocity of 75 ft/s, it’s height in ...

eet after t seconds is given by y=75t-16t^2. Find the average velocity for the time period beginning when t = 2 and lasting.
1) 0.1 seconds
2) 0.01 seconds
3) 0.001 seconds
Finally based on the above results, guess what the instantaneous velocity of the ball is when t=2.

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9.A basketball player is 1.85 m tall and stands at a horizontal distance of 7 m from the hoop. If the ...

hoop is 3.05 m above the ground and measures 46 cm in diameter, determine the equations of at least two parabolic trajectories that the ball can take for the basketball player to score from his current position.

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10.Sir with honour and respect I am going to give some law of science I am class 9 students In ...

m first person to say 4law they are 1 Distance is fixed for second time it follows the first again again 2 there is nothing in rest every object vibrates or shake because things are made by atoms and atoms are made by neutron protons and electrons and they vibrates 3 sun also revolves because Milky way also revolves if milky will revolves sun will revolves attomiticaly because if enter a ball on football and hit it the ball also vibrates 4 The proton neutron and electrons are Brahma Vishnu maheswar 5 Iam yamrit uprety

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at her at speed of 40m/s. She shouts, “Youch!’ because the fast-moving ball hurts her hands. She quickly learns how to move her arms and hands along with the ball as she catches it to reduce the magnitude of the impulse force. If the contact time of the collision is increased from the original value of 3.5ms with no arm or hand movement, to 8.5ms in the manner described, how do the magnitudes of the average impulse forces compare? Calculate both of these average forces.

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12. Value: 1 equation image indicator a. (x - 2)2(x - 3)2 b. (x2+ 4)(x2+ 9) c. (x - 2)(x + ...

2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
Value: 1
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
staplergraph.jpg
a. $19.95
b. $18.95
c. $16.95
d. $19.25
Value: 1
If equation image indicator then x =
a. 7
b. 1/5
c. 5
d. 1/7
Value: 1
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
a. 1/3
b. 0
c. 1/2
d. 1/4
Value: 1
If 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 8
d. 4
Value: 1
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
a. 2
b. 4
c. 16
d. There is no y-intercept.
Value: 1
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
Value: 1
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. 22
b. 28
c. 35
d. 40
Value: 1
(3x-2y4)-3 =
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
a. 28
b. 30
c. 32
d. 34
Value: 1
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
a. 20
b. 50
c. 70
d. 80
Value: 1
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
a. 21
b. 15
c. 19
d. 9
Value: 1
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
a. 54
b. 6
c. 2/3
d. 3/2
Value: 1
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
a. 21
b. 11
c. 0
d. 55

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

mathematicsalgebra Physics