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Particles A and B of mass 5 kg and 8 kg respectively are connected by alight inextensible string passing over a smooth light pulley C B as shown.
Particle A moves up the rough inclined plane and A the coefficient of friction between A and the slope is 12. The plane is inclined at 45 degrees to the horizontal. Find, to the nearest m/s2, the common acceleration of A and B.
Examples of 6-palindromes include {2,5} and the empty set. Show with a combinatorial proof that the number of n-palindromes equals 2^(n/2) for n even, and 2^(n+1/2) for n odd. (Hint: A set of cardinality k has 2k subsets.)
If perimeter is 300m length is 100m. find the breadth
You place a cup of 210°F coffee on a table in a room that is 68°F, and 10 minutes later, it is 200°F . Approximately how long will it be before the coffee is 180°F? Use Newton's law of cooling: 180°F A: 1 hour B: 15 minutes
The quotient of a number and 2 subtracted from 5
find the digits a and b such that the six-digit number 543ab2 is divisible by 42. do not use a calculator for this
Kingston Kitchen Stuff has recently sold 1,000 shares of $10.75 preferred stock. What is the value of the stock assuming 10 percent required rate of return?
At what rate is the radius changing when the volume is 400ft3 - how fast is the ladder sliding down the side of the building when the top of the ladder is 12 ft above the ground?
A ship travels due west for 550 km then travels N40 degrees west. (bearing 320) For 700 km. How far is the ship from its staring point?
Mike, who is standing on the deck of a yacht that is traveling due west at 6km/h, sees a sailboat sailing southwest at 4km/h, 3 km northwest of the yacht. How close to each other do these boats get?
the average number of calories in a 1.5 ounce chocolate bar is 225. Suppose the distribution of calories is approximately normal with standard deviation 10. Find the probability that a randomly selected chocolate bar will have less than 200 calori..
MATH 54 QUIZ 5. Suppose A is a 5 × 7 matrix whose rank is 3. What is the dimension of the null space of A? Justify your answer
bounded above by a parabola and below by the arc of a circle find the equations for the parabola and circle
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