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1. The length of a rectangle is increasing at a rate of7cm/s and its width is increasing at a rate of8cm/s. When the length is15cm and the width is9cm, how fast is the area of the rectangle increasing?
1b. A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing?
1c.The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 80mm?
a baseball is hit 3 feet above home plate. It will reach its highest point of 83 feet 125 feet from home plate.
If the water level is 5 feet below the closed bridge, find the distance d between the end of a section and the water level when the bridge is fully open. (Round your answer to the nearest whole number.)
There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:
Suppose that for a certain company C(x)=25 x+500,000 represents the total cost function and R(x)=75x represents the total revenue function. Find the total profit function and break even point.
if a rectangle is redrawn so that its area remains constant but its perimeter increases, what happens to the shape of the rectangle?
what is the value of performing hypotheses tests to solve problems related to business and operations management?
A code consists of 2 different symbols selected from X followed by 3 not necessarily different symbols from Y. How many different codes are possible?
What type of growth pattern is represented here: 5x10^3, 1x10^4, 2x10^4, 4x10^4, 8x10^4?
find both the time and the position of the particle when the particle is further to the left. justify
Monthly sales in thousands of dollars for women's dresses at a local department store for last year were.
Write a brief scenario that can be modeled with a linear equation. Summarize a situation modeled by a quadratic equation. Are there equations that are neither linear nor quadratic? Explain
Write a system of equations in x and y describing the situation. Then solve. Sonia invested a total of $12,000 into two accounts paying 7.5% and 6% simple interest. If her total return at the end of the first year was $840, how much did she invest..
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