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(a) Find the seventh term of a geometric progression, if the second term is 9 and the 11th term is 100.
(b) Find the sum of a 10-term geometric progression if the first term is 59049 and the common ratio is -2/3.
(c) Find four numbers in geometric progression, if the first two add up to 44, and the other two add up to 396.
Find parametric equations for the line from the point P = (2, -3) to the point Q = (-4,12) along which a particle moves at a constant speed in 3 seconds.
Determine accumulated rates of change using definite integral - Explain how this represents an accumulated rate of change in detail
A person receives $212 per year in simple interest from 3 investments totalling $2500. Part is invested at 7%, part at 8%, and part at 9%. There is $1100 more invested at 9% than 8%. Find the amount invested at each rate.
What is the difference between probability sampling and simple random sampling?
Describe the application that you have found and clearly explain and summarize the important mathematical ideas in your own words.
The equation R(v) =5800 / v can be used to determine the heart rate, R, of a person. Find the rate of change of heart rate with respect to v, the output per beat.
The theory of relativity predicts that an object whose mass is m0 when it is at rest will appear heavier when moving at speeds near the speed of light.
Determine the area of the largest rectangle that can be inscribed in a semicircle of radius 8". Figure shows that the area can be written as A =(2x)y, if (x,y) is the point of the upper right corner of the rectangle.
A water storage tank has the shape of a cylinder with diameter 22 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 20 ft, what percentage of the total capacity is being used? (Round the answer to one..
A company manufacturing laptops believes that 5% of their computers are faulty. They take a sample of 30 computers. Showing your calculations, find the probability; a. Two of the laptops are faulty
a flagpole is secured on opposite sides by two guy wires each of which is 5ft longer than the pole. the distance
If a department has 10 men and 15 women, how many ways are there to form a committee with 6 members if it must have more women than men?
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