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Two quantities (x,y) are proportional if one is a constant (k) multiple of the other (y=kx for some constant k.) Two quantities (x,y) are jointly proportional to a third quantity (z) if their product is a constant multiple (k) of the third (z=kxy).
1. Write differential equations for the following scenarios:
a. The rate of infection is constant.
b. The rate of infection is increasing at a rate that is proportional to the number of infected people.
c. The rate of infection is increasing at a rate that is proportional to the number of infected people and decreasing at a rate that is proportional to the number of infected people.
d. The rate of infection is increasing at a rate that is jointly proportional to the number of infected people and the number of healthy people.
e. The rate of infection is increasing at a rate that is jointly proportional to the number of infected people and the number of healthy people and decreasing at a rate that is proportional to the number of infected people.
How long do you have to pay that monthly amount? Over the course of each loan, how much total do you pay? How much of that is interest? How much interest will you pay in total?
Find the formula of the volume of a cylinder using the following variables: V = volume, h = height, r = radius. Find the volume to the nearest tenth of a cylinder with radius 4 cm and height 15.92 cm.
In a study of milk production in sheep (for use in making cheese), a researcher measured the three-month milk yield for each of 11 ewes. The yields (liters) were as follows.
The probability that a new battery does not work is 0.04. What is the probability that a new battery does work?
Examine the mapping of open [respectively, closed] intervals under the functions g(x) := 1/(x^2 + 1) and h(x) := x^3 for x in R
Postal regulations specify that a package sent by priority mail may have a combined length and girth of no more than 132 in. Find the dimensions of a cylindrical package with the greatest volume that may be sent by priority mail.
A group of friends decided to rent a vacation home for a week. They each paid $70 towards the rent. If three more friends had joined them, the cost per person would have been reduced by $14. How many friends went on the trip?
Find the probability of random co-incidence, if the probability to get a certain value in both studies was the same, I would expect to have (125/1389)*38=3.41973 data-points with a larger value than the largest value in my study
Previous AnswersWaneFMAC6 3.2.002. Use Gauss-Jordan row reduction to solve the given system of equations. HINT [See Examples 1-6.] (If there is no solution, enter NO SOLUTION. If the system is dependent, express youranswer in terms of x, where
Find the volume of the pyramid with a rectangular base. 11 in height, 12 in length, and 10 in width.
Give a recursive algorithm for computing n * a using only addition, where n is a positive integer and a is a real number. (add a to itself n times).
How to solve 8-3(x+1)=5-(2x-3) what is the process?
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