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A girl of height 120 cm is walking towards a light on the ground at a speed of 0.6 m/s. Her shadow is being cast on a wall behind her that is 5 m from the light.
How is the size of her shadow changing when she is 1.5 m from the light?
Estimate all the stationary points
if the length of the hypotenuse of the right triangle is 10, find the lengths of the other sides when the area is maximum.
Seven Marching Bands will perform at a competition. The order of the performances is determined at random. What is the probability that the bands will perform in alphabetical order by school name?
a motel clerk count his $1 and $10 bills he find he has a total of 46 bills combine value of $154 find the number of bills denomation.
The Mico soft drink company makes two kinds of beverages: regular and diet. Their limited resources are the time it takes to make the drinks (8 hours = 480 minutes per day) and syrup (as an ingredient) limited to 675 gallons per day.
Perform the operation and make the result in standard form
Earthquake A had a magnitude of 8.4 on the Richter scale. At the same time an earthquake B with magnitude 4.6 caused only minor damage. How many times more intense was earthquake A than earthquake B? (Round your answer to two decimal places.)
A cylinder is to be constructed so that it will have a minimum surface area while holding 128 pi cubic feet of gasoline. Determine the necessary dimmensions. Be sure to verify your answers indeed guarantee that a minimization has been accomplished..
A building 190 feet tall casts a 60 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (A..
a carpenter is building a rectangular room with a fixed perimeter of 104 ft. what dimensions would yield the maximum area? what is the maximum area?
Determine the interval(s) at which f(x) is concave down given that f " (x) = 3x2 + 3x - 18. Give a formula for f (x) given that f is continuous and 2 x4 + x3 + 2 = 0∫x[f(t)/(t+4)] dt.
Random variable and a probability distribution, Discuss the concepts of random variable and a probability distribution. A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude..
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