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The population,P, of certain species of bacteria is growing exponentially according to the model P(t)=114(1.035)^t, where t is the number of hours after 1pm. What is the initial population in this model.
A planet follows an elliptical path described by 16x^(2)+4y^(2)=64. A comet follows the parabolic path y=x^(2)-4. Where might the comet intersect the orbiting planet?
A statistics professor plans his classes so carefully that the lenghts of his classes are uniformly distributed 50.0 and 52.0 minutes. Find the probably that a given class period runs greater than 51.5 minutes.
Joshua Lampkin is building a small rectangular wall shelf to display a recent Social Work award. The length of a rectangle is 8 inches longer than the width. If the perimeter of the shelf is 60 inches, find the measures of the length and width.
1. Find all of the critical points and local maximums and minimums of the function:
You have a receipt for a purchase that shows the total amount of the purchase to be $318.97. The sales tax rate is 8.25%.
A gasoline siphon has its outlet 1 m deeper than the fluid level that is exposed to standard pressure. If the highest point of the siphon surpasses 7.64 meters measured from the fluid level, the siphon stops working. Using SG= 0.724 for the gasoli..
Suppose we have a hemispherical tank of radius 10m. It is filled to a depth of 3m. The density of the fluid is 5kg/m3. Calculate the work required to pump the fluid to a height of 12m.
Plot the forcePrequired to begin moving the 100-kg crate up the 10° incline starting from rest at vari- ous values ofxfrom zero to 10 m. Determine the least possible value ofPand the corresponding value ofx.
Choose a company and conduct research to identify at least three corporate-level strategies it utilizes. Provide your analysis and recommendations as to the effectiveness of these strategies and your recommendation if this strategy should be conti..
A student graduated from a 4-year college with an outstanding loan of $9650 where the average debt is $8455 with a standard deviation of $1865.
A spherical balloon is inflating at a rate of 27 pi cubic inches per second. How fast is the radius of the balloon increasing when the volume is 112 cubic inches.
In equilibrium, free entry will ensure that profits will be zero in the perfectly competitive final-goods sector. Hence, the price of final output, which we will normalize to 1, must be equal to its unit cost. Using this condition, together with p..
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