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A carnival ride is in the shape of a wheel with a radius of 20 feet. The wheel has 16 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable.
Please, solve this problem correctly and explain with details. Also, while explaining, please graph a function. Find the slope of y = x^3 at point P = (2; 8) and an equation of the tangent line at P to this curve.
Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.
AUTOMATIC TELLERS The manager of a local bank observes how long it takes a customer to complete his transactions at the automatic bank teller.
If the actual contents of the cartons vary normally, with a stardard deviation of 0.1 oz, what percentage of the cartons contains less than a quart
Find the simple interest rate of a loan of $5,000 that is made for three years and requires $1,762.50 in interest.
On Friday, a local hamburger shop sold a combined total 444 of hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?
Determine the radius of convergence of the power series n=1Σ∞ (-1)n (3n / n4n) xn. Show that the power series converges for x = 4/3. Determine the sum of the power series =1Σ∞ n(n - 1)(-3/4)n.
The Archimedean property for the rational numbers states that for all rational numbers r, there is an integer n such that n > r. Prove this property.
The trough is full of water (density ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
1. evaluate the derivatives of the followinga. f x x sincosx2b. f x x32 - x tanxc. f x tan2x2dx2. a square piece of
The diameter of the Ferris wheel at Six Flags is 205 feet. Use 3.14 as an approximation for π to find the circumference of the wheel and round your answer to the nearest foot. How far would a person travel if they rode the Ferris wheel 5 times? Ro..
The principle P that an individual invests will have a return of amount A at 5.5% interest. This is modeled by the function A(t) = Pe0.055t where the time t is measured in years. If $2500 is invested, how long will it take to realize a return amount ..
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