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The length of a rectangle is 2 less than 5 times its width. The width is increased by 4 while the length is unchanged. Using a as the variable, express the change in area in terms of a.
Through how many radians does a pulley with 10 cm diameter turn when 10 m of rope has been pulled through it without slippage? How many revolutions result?
A baseball player runs from home plate towards first base at 20 ft/s. How fast is the player's distance from second base changing when the player is three-quarters of the way to the first base? Give your answer correct to two decimal places.
Juan's first-grade class received 73 half-pint cartons of milk to distribute evenly to his 28 students. How many cartons were left over?
The price of a home is $167,000. The bank requires a 20% down payment and three points at the time of closing. The cost of the home is financed with a 30-year fixed-rate mortgage at 8%. What is the monthly payment (excluding escrowed taxes and ins..
Determine the vertical and horizontal asymptotes and sketch the graph of the rational function F. Label all intercepts and asymptotes.
Could you show me the easiest steps needed to prove the theorem of the Triangular inequaity for II . IIp (also called Minkowsky inequality) for L^p spaces.
Using the readings discussed in this course, provide one real-world application of the information learned that has been the most valuable to you. Why has it been valuable?
you project a drawing 7 in. wide and 4 1/2 in. tall onto a wall. the projected images is 27 in. tall. how wide is the projected image.
How many bit strings of length n are palindromes? Hint: Consider two cases n is even and n is odd. Note a palindrome is a "string" of letters or numbers which read the same frontwards and backwards.
By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for the area under the given graph of f from x = 0 to x = 40.
An open box is to be made from a six inch by six inch square piece of material by cutting equal squares from the corners and turning up the sides. Find the volume of the largest box that can be made
Validity of arguments using Euler circles - Evaluate the validity of the next arguments by using Euler circles, then translate the statements into logical statements using the basic connectives and using truth tables, determine the validity of the ..
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