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Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2100 bacteria selected from this population reached the size of 2213 bacteria in one and a half hours. Find the continuous growth rate per hour. Write your answer as a percentage. Round your answer to one decimal place.
The speed of a passenger train is 18 mph fasster than the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 190 miles. Find the speed of each train.
where y is its height above the ground and x is its horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth..
You are given the choice of three doors. Behind one is a new car and the others hide a barnyard animal for you to keep. After you choose door number one, your host (Monty) opens door three to reveal a goat
Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 12 cm/s, find the rate of change of the radius when the radius is 18cm.
Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?
Write an equation using the following information: Each represents an exponential function with base 2 or 3 translated and/or reflected
Probabilities of deck of cards. A card is drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining a diamond or a card smaller than 5?
The combined area of a square and a rectangle is 355 square centimeters. The width of the rectangle is 5 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width. Find the dimen..
Are these functions Reimann Integrable? I am just learning this topic, so my description may not be accurate. A function is Reimann Integrable if it's Upper Darboux Sums and Lower Darboux suns are equal.
Describe the object, include details on how you went about performing the calculation, and determine the slope. Be sure to include the unit of measurement (inches, feet, yards, etc.).
A salesman drives from Ajax to Barrington, a distance of 133 mi, at a steady speed. He then increases his speed by 15 mi/h to drive the 185 mi from Barrington to Collins. If the second leg of his trip took 15 min more time than the first leg, how ..
What is the balance after one year if an account containing $500 earns 5% annual interest, if the interest is compounded:
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