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The half-life of a certain radioactive material is 23 hours. An initial amount of the material has a mass of 82 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 7 hours. Round your answer to the nearest thousandth.
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 552 feet of fencing is used. Find the maximum area of the playground.
Each glass of milk has 8 grams of protein, 11 grams of carbohydrates, and 260 milligrams of calcium. How many servings of each food should the dietitian provide the patient?
What is the volume created by rotating region R around the line y=5?
An initial population of 655 quail increases at an annual rate of 18%. Write an exponential function to model the quail population.
Katy deposits $100 in such a savings account. Find out how much money will be in her account after 8 years.
True or False. In a multinomial experiment, all outcomes of each trial can have several categories. In finding Expected Frequency you multiply what divided by what?
Show that if for each i, the point p is a deformation retract of an open set W_i of X_i, then the fundamental group of X is the external free product of the groups pi_1(X_i, p) relative to the monomorphisms induced by inclusion.
Plot the component curves and the orbit, the latter for the rectangle |y|Any surprises? 28. Hearts and Eyes: Find a solution formula for y'' + 25y = sin&(wt), where w is not equal 5. Plot the solution curve of the IVP with y(0) = y'(0), where w=4...
Use a(t) = -32 feet per second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 56 feet per second. For how many seconds will the ball be going upward?
how to find the sum of each series?
Show that if R is a ring with identity element and x is an element in R, then Rx = {rx: r in R} is the principal left ideal generated by x. Similarly,
Four people select a main dish from a menu of 7 items. How many choices are possible: If a record is kept of who selected which choice (as a waiter would)
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