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The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 106 cm2, what is the length of the diagonal.
A central angle of a circle of radius 30cm intercepts an arc of 6cm the central angle in terms of degrees is? The reference angle of 3.22 rev?
A statistic professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50 and 52 minutes. Find the probability that a given class period runs less than 50.75 minutes.
Relationship between the variables
Compare and contrast permutations and distinguishable permutations. Provide a formula for each and state the fundamental counting principle and explain it in your own words.
let f be the function defined by f(x) = 12x^(2/3) - 4x. a) find the intervals on which f is increasing. b) Find the x and y coordinates of all relative maximum points.
A plane is heading due east and climbing at the rate of 120 km/hr. If its airspeed is 530 km/hr and there is a wind blowing 120 km/hr to the northwest, what is the ground speed of the plane?
Find the dimensions of the poster which give the largest printed area
Find the velocity of the top of the ladder at time t=2.
Calculate the probability of rolling dice and obtaining a 3 or a 5 consecutively three times?
A control system has a time constant, τ ( = 1/t)), where t satisfies the equation 10e-2t = 2Sin2t + 3. Show that this equation has a solution between t = 0 and t = 1.
For John's ordering policy to be correct, what would the carrying cost as a percentage of the unit cost have to be? If the carrying cost were 10% of the cost, what would the optimal order quantity be?
A heavy rope, 30 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 70 ft high. How much work W is done in pulling half the rope to the top of the building?
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